Urbit
  • Introduction
  • Development

    • Getting Started
    • Environment Setup
    • Grants Program
    • Project Repositories
    • Precepts
    • System Overview

      • Arvo
      • Hoon
      • Nock
      • Vere
      • Azimuth
      • Cryptography
      • Arvo

        • Overview
        • Reference

          • Cryptography
          • Filesystem Hierarchy
          • Ames

            • Overview
            • Cryptography
            • API Reference
            • Behn

              • Overview
              • API Reference
              • Clay

                • Overview
                • Architecture
                • Using Clay
                • Data Types
                • Scry Reference
                • API Reference
                • Examples
                • Dill

                  • Overview
                  • API Reference
                  • Eyre

                    • Overview
                    • External API Reference
                    • Internal API Reference
                    • Scry Reference
                    • Data Types
                    • Examples
                    • Ford

                      • Overview
                      • Gall

                        • Overview
                        • Iris

                          • API Reference
                          • Jael

                            • API Reference
                            • Concepts

                              • Subscriptions
                              • Tutorials

                                • Move Trace
                              • Userspace

                                • Overview
                                • Gall

                                  • Overview
                                  • Tutorial
                                  • API Reference
                                  • Graph Store

                                    • Graph Store Overview
                                    • Data Structure Overview
                                    • Validator Walkthrough
                                    • Advanced Info
                                    • Threads

                                      • Overview
                                      • HTTP API
                                      • Reference
                                      • Basics

                                        • Fundamentals
                                        • Bind
                                        • Input
                                        • Output
                                        • Summary
                                        • Gall

                                          • Start Thread
                                          • Take Result
                                          • Take Facts
                                          • Stop Thread
                                          • Poke Thread
                                          • Examples

                                            • Fetch JSON
                                            • Child Thread
                                            • Main-loop
                                            • Poke Agent
                                            • Scry
                                            • Take Fact
                                          • Landscape

                                            • Overview
                                            • API Reference

                                              • Graph Store
                                          • Hoon

                                            • Overview
                                            • Hoon School

                                              • 1.1 Setup
                                              • 1.1.1 Walkthrough: List of Numbers
                                              • 1.2 Nouns
                                              • 1.3 Hoon Syntax
                                              • 1.3.1 Walkthrough: Conditionals
                                              • 1.4 Gates (Hoon Functions)
                                              • 1.4.1 Walkthrough: Recursion
                                              • 1.5 Lists
                                              • 1.5.1 Walkthrough: Fibonacci Sequence
                                              • 1.6 The Subject and Its Legs
                                              • 1.6.1 Walkthrough: Ackermann Function
                                              • 1.7 Arms and Cores
                                              • 1.7.1 Walkthrough: Caesar Cipher
                                              • 1.8 Doors
                                              • 1.8.1 Bank Account
                                              • 1.9 Generators
                                              • 2.1 Atoms, Auras, and Simple Cell Types
                                              • 2.2 Type Checking and Type Inference
                                              • 2.3 Structures and Complex Types
                                              • 2.3.1 Walkthrough: Libraries
                                              • 2.3.2 Molds
                                              • 2.4 Standard Library: Trees, Sets, and Maps
                                              • 2.5 Type Polymorphism
                                              • 2.5.1 Walkthrough: Iron Polymorphism and Wet Polymorphism
                                              • 2.5.2 Walkthrough: Lead Polymorphism
                                              • 2.6 Behn
                                              • 2.7 Gall
                                              • 2.7.1 Gall Walkthrough: Egg Timer
                                              • Guides

                                                • CLI apps
                                                • Parsing
                                                • Writing Aqua Tests
                                                • Reference

                                                  • Cheat Sheet
                                                  • Irregular forms
                                                  • Hoon Errors
                                                  • Hoon Style Guide
                                                  • Basic Types
                                                  • Advanced Types
                                                  • Auras
                                                  • Runes

                                                    • Atoms and strings
                                                    • Nock . ('dot')
                                                    • Wild ! ('zap')
                                                    • Change Subject = ('tis')
                                                    • Conditionals ? ('wut')
                                                    • Cores | ('bar')
                                                    • Arms + ('lus')
                                                    • Cells : ('col')
                                                    • Calls % ('cen')
                                                    • Casts ^ ('ket')
                                                    • Structures $ ('buc')
                                                    • Make ; ('mic')
                                                    • Hints ~ ('sig')
                                                    • Terminators -- and ==
                                                    • Limbs and wings

                                                      • Limbs
                                                      • Wings
                                                      • Standard library

                                                        • Table of Contents
                                                        • 1a: Basic Arithmetic
                                                        • 1b: Tree Addressing
                                                        • 1c: Molds and Mold-Builders
                                                        • 2a: Unit Logic
                                                        • 2b: List Logic
                                                        • 2c: Bit Arithmetic
                                                        • 2d: Bit Logic
                                                        • 2e: Insecure Hashing
                                                        • 2f: Noun Ordering
                                                        • 2g: Unsigned Powers
                                                        • 2h: Set Logic
                                                        • 2i: Map Logic
                                                        • 2j: Jar and Jug Logic
                                                        • 2k: Queue Logic
                                                        • 2l: Container from Container
                                                        • 2m: Container from Noun
                                                        • 2n: Functional Hacks
                                                        • 2o: Normalizing Containers
                                                        • 2p: Serialization
                                                        • 2q: Molds and Mold-Builders
                                                        • 3a: Modular and Signed Ints
                                                        • 3b: Floating Point
                                                        • 3c: Urbit Time
                                                        • 3d: SHA Hash Family
                                                        • 3e: AES encryption (Removed)
                                                        • 3f: Scrambling
                                                        • 3g: Molds and Mold-Builders
                                                        • 4a: Exotic Bases
                                                        • 4b: Text Processing
                                                        • 4c: Tank Printer
                                                        • 4d: Parsing (Tracing)
                                                        • 4e: Parsing (Combinators)
                                                        • 4f: Parsing (Rule-Builders)
                                                        • 4g: Parsing (Outside Caller)
                                                        • 4h: Parsing (ASCII Glyphs)
                                                        • 4i: Parsing (Useful Idioms)
                                                        • 4j: Parsing (Bases and Base Digits)
                                                        • 4k: Atom Printing
                                                        • 4l: Atom Parsing
                                                        • 4m: Formatting Functions
                                                        • 4n: Virtualization
                                                        • 4o: Molds
                                                        • 5a: Compiler Utilities
                                                        • 5b: Macro Expansion
                                                        • 5c: Compiler Backend & Prettyprinter
                                                        • 5d: Parser
                                                        • 5e: Caching Compiler
                                                        • 5f: Molds and Mold-Builders
                                                        • 5g: profiling support
                                                    • Nock

                                                      • Nock Definition
                                                      • Explanation
                                                      • Example
                                                      • Implementations
                                                      • Vere

                                                        • C Runtime System
                                                        • Land of Nouns
                                                        • API overview by prefix
                                                        • C in Urbit
                                                        • Writing Jets
                                                        • Cryptography
                                                        • Azimuth

                                                          • Overview
                                                          • Life and Rift
                                                          • Advanced Azimuth Tools
                                                          • Glossary

                                                            • Ames
                                                            • Aqua
                                                            • Arm
                                                            • Arvo
                                                            • Atom
                                                            • Azimuth
                                                            • Battery
                                                            • Behn
                                                            • Breach
                                                            • Bridge
                                                            • Censures
                                                            • Ceremony
                                                            • chat
                                                            • Claims
                                                            • Clay
                                                            • Comet
                                                            • Core
                                                            • Delegated Sending
                                                            • Desk
                                                            • Dill
                                                            • Document Proposal
                                                            • Dojo
                                                            • Door
                                                            • Ecliptic
                                                            • Event Log
                                                            • Eyre
                                                            • Ford
                                                            • Galaxy
                                                            • Gall
                                                            • Gate
                                                            • HD Wallet
                                                            • Hoon
                                                            • Invite Tree
                                                            • Iris
                                                            • Jael
                                                            • Jaque
                                                            • Keyfile
                                                            • Landscape
                                                            • Mark
                                                            • Moon
                                                            • Nock
                                                            • Noun
                                                            • OTA Updates
                                                            • Payload
                                                            • pH
                                                            • Pier
                                                            • Pill
                                                            • Planet
                                                            • Proxies
                                                            • Replay
                                                            • Sail/Udon
                                                            • Senate
                                                            • Ship
                                                            • ship.arvo.network
                                                            • Star
                                                            • |sync
                                                            • Trap
                                                            • Upgrade Proposal
                                                            • Vane
                                                            • Vere
                                                            • Voting
                                                            • Wallet-Generator
                                                            Urbit
                                                            • Introduction
                                                            • Development

                                                              • Getting Started
                                                              • Environment Setup
                                                              • Grants Program
                                                              • Project Repositories
                                                              • Precepts
                                                              • System Overview

                                                                • Arvo
                                                                • Hoon
                                                                • Nock
                                                                • Vere
                                                                • Azimuth
                                                                • Cryptography
                                                                • Arvo

                                                                  • Overview
                                                                  • Reference

                                                                    • Cryptography
                                                                    • Filesystem Hierarchy
                                                                    • Ames

                                                                      • Overview
                                                                      • Cryptography
                                                                      • API Reference
                                                                      • Behn

                                                                        • Overview
                                                                        • API Reference
                                                                        • Clay

                                                                          • Overview
                                                                          • Architecture
                                                                          • Using Clay
                                                                          • Data Types
                                                                          • Scry Reference
                                                                          • API Reference
                                                                          • Examples
                                                                          • Dill

                                                                            • Overview
                                                                            • API Reference
                                                                            • Eyre

                                                                              • Overview
                                                                              • External API Reference
                                                                              • Internal API Reference
                                                                              • Scry Reference
                                                                              • Data Types
                                                                              • Examples
                                                                              • Ford

                                                                                • Overview
                                                                                • Gall

                                                                                  • Overview
                                                                                  • Iris

                                                                                    • API Reference
                                                                                    • Jael

                                                                                      • API Reference
                                                                                      • Concepts

                                                                                        • Subscriptions
                                                                                        • Tutorials

                                                                                          • Move Trace
                                                                                        • Userspace

                                                                                          • Overview
                                                                                          • Gall

                                                                                            • Overview
                                                                                            • Tutorial
                                                                                            • API Reference
                                                                                            • Graph Store

                                                                                              • Graph Store Overview
                                                                                              • Data Structure Overview
                                                                                              • Validator Walkthrough
                                                                                              • Advanced Info
                                                                                              • Threads

                                                                                                • Overview
                                                                                                • HTTP API
                                                                                                • Reference
                                                                                                • Basics

                                                                                                  • Fundamentals
                                                                                                  • Bind
                                                                                                  • Input
                                                                                                  • Output
                                                                                                  • Summary
                                                                                                  • Gall

                                                                                                    • Start Thread
                                                                                                    • Take Result
                                                                                                    • Take Facts
                                                                                                    • Stop Thread
                                                                                                    • Poke Thread
                                                                                                    • Examples

                                                                                                      • Fetch JSON
                                                                                                      • Child Thread
                                                                                                      • Main-loop
                                                                                                      • Poke Agent
                                                                                                      • Scry
                                                                                                      • Take Fact
                                                                                                    • Landscape

                                                                                                      • Overview
                                                                                                      • API Reference

                                                                                                        • Graph Store
                                                                                                    • Hoon

                                                                                                      • Overview
                                                                                                      • Hoon School

                                                                                                        • 1.1 Setup
                                                                                                        • 1.1.1 Walkthrough: List of Numbers
                                                                                                        • 1.2 Nouns
                                                                                                        • 1.3 Hoon Syntax
                                                                                                        • 1.3.1 Walkthrough: Conditionals
                                                                                                        • 1.4 Gates (Hoon Functions)
                                                                                                        • 1.4.1 Walkthrough: Recursion
                                                                                                        • 1.5 Lists
                                                                                                        • 1.5.1 Walkthrough: Fibonacci Sequence
                                                                                                        • 1.6 The Subject and Its Legs
                                                                                                        • 1.6.1 Walkthrough: Ackermann Function
                                                                                                        • 1.7 Arms and Cores
                                                                                                        • 1.7.1 Walkthrough: Caesar Cipher
                                                                                                        • 1.8 Doors
                                                                                                        • 1.8.1 Bank Account
                                                                                                        • 1.9 Generators
                                                                                                        • 2.1 Atoms, Auras, and Simple Cell Types
                                                                                                        • 2.2 Type Checking and Type Inference
                                                                                                        • 2.3 Structures and Complex Types
                                                                                                        • 2.3.1 Walkthrough: Libraries
                                                                                                        • 2.3.2 Molds
                                                                                                        • 2.4 Standard Library: Trees, Sets, and Maps
                                                                                                        • 2.5 Type Polymorphism
                                                                                                        • 2.5.1 Walkthrough: Iron Polymorphism and Wet Polymorphism
                                                                                                        • 2.5.2 Walkthrough: Lead Polymorphism
                                                                                                        • 2.6 Behn
                                                                                                        • 2.7 Gall
                                                                                                        • 2.7.1 Gall Walkthrough: Egg Timer
                                                                                                        • Guides

                                                                                                          • CLI apps
                                                                                                          • Parsing
                                                                                                          • Writing Aqua Tests
                                                                                                          • Reference

                                                                                                            • Cheat Sheet
                                                                                                            • Irregular forms
                                                                                                            • Hoon Errors
                                                                                                            • Hoon Style Guide
                                                                                                            • Basic Types
                                                                                                            • Advanced Types
                                                                                                            • Auras
                                                                                                            • Runes

                                                                                                              • Atoms and strings
                                                                                                              • Nock . ('dot')
                                                                                                              • Wild ! ('zap')
                                                                                                              • Change Subject = ('tis')
                                                                                                              • Conditionals ? ('wut')
                                                                                                              • Cores | ('bar')
                                                                                                              • Arms + ('lus')
                                                                                                              • Cells : ('col')
                                                                                                              • Calls % ('cen')
                                                                                                              • Casts ^ ('ket')
                                                                                                              • Structures $ ('buc')
                                                                                                              • Make ; ('mic')
                                                                                                              • Hints ~ ('sig')
                                                                                                              • Terminators -- and ==
                                                                                                              • Limbs and wings

                                                                                                                • Limbs
                                                                                                                • Wings
                                                                                                                • Standard library

                                                                                                                  • Table of Contents
                                                                                                                  • 1a: Basic Arithmetic
                                                                                                                  • 1b: Tree Addressing
                                                                                                                  • 1c: Molds and Mold-Builders
                                                                                                                  • 2a: Unit Logic
                                                                                                                  • 2b: List Logic
                                                                                                                  • 2c: Bit Arithmetic
                                                                                                                  • 2d: Bit Logic
                                                                                                                  • 2e: Insecure Hashing
                                                                                                                  • 2f: Noun Ordering
                                                                                                                  • 2g: Unsigned Powers
                                                                                                                  • 2h: Set Logic
                                                                                                                  • 2i: Map Logic
                                                                                                                  • 2j: Jar and Jug Logic
                                                                                                                  • 2k: Queue Logic
                                                                                                                  • 2l: Container from Container
                                                                                                                  • 2m: Container from Noun
                                                                                                                  • 2n: Functional Hacks
                                                                                                                  • 2o: Normalizing Containers
                                                                                                                  • 2p: Serialization
                                                                                                                  • 2q: Molds and Mold-Builders
                                                                                                                  • 3a: Modular and Signed Ints
                                                                                                                  • 3b: Floating Point
                                                                                                                  • 3c: Urbit Time
                                                                                                                  • 3d: SHA Hash Family
                                                                                                                  • 3e: AES encryption (Removed)
                                                                                                                  • 3f: Scrambling
                                                                                                                  • 3g: Molds and Mold-Builders
                                                                                                                  • 4a: Exotic Bases
                                                                                                                  • 4b: Text Processing
                                                                                                                  • 4c: Tank Printer
                                                                                                                  • 4d: Parsing (Tracing)
                                                                                                                  • 4e: Parsing (Combinators)
                                                                                                                  • 4f: Parsing (Rule-Builders)
                                                                                                                  • 4g: Parsing (Outside Caller)
                                                                                                                  • 4h: Parsing (ASCII Glyphs)
                                                                                                                  • 4i: Parsing (Useful Idioms)
                                                                                                                  • 4j: Parsing (Bases and Base Digits)
                                                                                                                  • 4k: Atom Printing
                                                                                                                  • 4l: Atom Parsing
                                                                                                                  • 4m: Formatting Functions
                                                                                                                  • 4n: Virtualization
                                                                                                                  • 4o: Molds
                                                                                                                  • 5a: Compiler Utilities
                                                                                                                  • 5b: Macro Expansion
                                                                                                                  • 5c: Compiler Backend & Prettyprinter
                                                                                                                  • 5d: Parser
                                                                                                                  • 5e: Caching Compiler
                                                                                                                  • 5f: Molds and Mold-Builders
                                                                                                                  • 5g: profiling support
                                                                                                              • Nock

                                                                                                                • Nock Definition
                                                                                                                • Explanation
                                                                                                                • Example
                                                                                                                • Implementations
                                                                                                                • Vere

                                                                                                                  • C Runtime System
                                                                                                                  • Land of Nouns
                                                                                                                  • API overview by prefix
                                                                                                                  • C in Urbit
                                                                                                                  • Writing Jets
                                                                                                                  • Cryptography
                                                                                                                  • Azimuth

                                                                                                                    • Overview
                                                                                                                    • Life and Rift
                                                                                                                    • Advanced Azimuth Tools
                                                                                                                    • Glossary

                                                                                                                      • Ames
                                                                                                                      • Aqua
                                                                                                                      • Arm
                                                                                                                      • Arvo
                                                                                                                      • Atom
                                                                                                                      • Azimuth
                                                                                                                      • Battery
                                                                                                                      • Behn
                                                                                                                      • Breach
                                                                                                                      • Bridge
                                                                                                                      • Censures
                                                                                                                      • Ceremony
                                                                                                                      • chat
                                                                                                                      • Claims
                                                                                                                      • Clay
                                                                                                                      • Comet
                                                                                                                      • Core
                                                                                                                      • Delegated Sending
                                                                                                                      • Desk
                                                                                                                      • Dill
                                                                                                                      • Document Proposal
                                                                                                                      • Dojo
                                                                                                                      • Door
                                                                                                                      • Ecliptic
                                                                                                                      • Event Log
                                                                                                                      • Eyre
                                                                                                                      • Ford
                                                                                                                      • Galaxy
                                                                                                                      • Gall
                                                                                                                      • Gate
                                                                                                                      • HD Wallet
                                                                                                                      • Hoon
                                                                                                                      • Invite Tree
                                                                                                                      • Iris
                                                                                                                      • Jael
                                                                                                                      • Jaque
                                                                                                                      • Keyfile
                                                                                                                      • Landscape
                                                                                                                      • Mark
                                                                                                                      • Moon
                                                                                                                      • Nock
                                                                                                                      • Noun
                                                                                                                      • OTA Updates
                                                                                                                      • Payload
                                                                                                                      • pH
                                                                                                                      • Pier
                                                                                                                      • Pill
                                                                                                                      • Planet
                                                                                                                      • Proxies
                                                                                                                      • Replay
                                                                                                                      • Sail/Udon
                                                                                                                      • Senate
                                                                                                                      • Ship
                                                                                                                      • ship.arvo.network
                                                                                                                      • Star
                                                                                                                      • |sync
                                                                                                                      • Trap
                                                                                                                      • Upgrade Proposal
                                                                                                                      • Vane
                                                                                                                      • Vere
                                                                                                                      • Voting
                                                                                                                      • Wallet-Generator
                                                                                                                      Urbit/Documentation/Hoon/Reference

                                                                                                                      Auras

                                                                                                                      Auras are system of nested "soft types" on atoms that are used to track metadata about how a particular atom is to be interpreted. This is used for type checking as well as pretty printing.

                                                                                                                      You can learn more about auras in Hoon school.

                                                                                                                      Table of Auras

                                                                                                                      Aura         Meaning                                 Example Literal Syntax
                                                                                                                      -------------------------------------------------------------------------
                                                                                                                      @            empty aura
                                                                                                                      @c           Unicode codepoint                       ~-~45fed
                                                                                                                      @d           date
                                                                                                                        @da        absolute date                           ~2018.5.14..22.31.46..1435
                                                                                                                        @dr        relative date (ie, timespan)            ~h5.m30.s12
                                                                                                                      @f           Loobean (for compiler, not castable)    &
                                                                                                                      @i           Internet address
                                                                                                                        @if        IPv4 address                            .195.198.143.90
                                                                                                                        @is        IPv6 address                            .0.0.0.0.0.1c.c3c6.8f5a
                                                                                                                      @n           nil (for compiler, not castable)        ~
                                                                                                                      @p           phonemic base (ship name)               ~sorreg-namtyv
                                                                                                                      @q           phonemic base, unscrambled              .~litsyn-polbel
                                                                                                                      @r           IEEE-754 floating-point
                                                                                                                        @rh        half precision (16 bits)                .~~3.14
                                                                                                                        @rs        single precision (32 bits)              .6.022141e23
                                                                                                                        @rd        double precision (64 bits)              .~6.02214085774e23
                                                                                                                        @rq        quad precision (128 bits)               .~~~6.02214085774e23
                                                                                                                      @s           signed integer, sign bit low
                                                                                                                        @sb        signed binary                           --0b11.1000
                                                                                                                        @sd        signed decimal                          --1.000.056
                                                                                                                        @sv        signed base32                           -0v1df64.49beg
                                                                                                                        @sw        signed base64                           --0wbnC.8haTg
                                                                                                                        @sx        signed hexadecimal                      -0x5f5.e138
                                                                                                                      @t           UTF-8 text (cord)                       'howdy'
                                                                                                                        @ta        ASCII text (knot)                       ~.howdy
                                                                                                                          @tas     ASCII text symbol (term)                %howdy
                                                                                                                      @u              unsigned integer
                                                                                                                        @ub           unsigned binary                      0b11.1000
                                                                                                                        @ud           unsigned decimal                     1.000.056
                                                                                                                        @uv           unsigned base32                      0v1df64.49beg
                                                                                                                        @uw           unsigned base64                      0wbnC.8haTg
                                                                                                                        @ux           unsigned hexadecimal                 0x5f5.e138

                                                                                                                      Bitwidth

                                                                                                                      Capital letters at the end of auras indicate the bitwidth in binary powers of two, starting from A.

                                                                                                                              @ubD    signed single-byte (8-bit) decimal
                                                                                                                              @tD     8-bit ASCII text
                                                                                                                              @rhE    half-precision (16-bit) floating-point number
                                                                                                                              @uxG    unsigned 64-bit hexadecimal
                                                                                                                              @uvJ    unsigned, 512-bit integer (frequently used for entropy)

                                                                                                                      Nesting

                                                                                                                      A given aura nests under any aura whose name is a substring or extension of the given aura:

                                                                                                                      > :-  (~(nest ut [%atom %ud ~]) | [%atom %u ~])
                                                                                                                            (~(nest ut [%atom %ud ~]) | [%atom %udx ~])
                                                                                                                      [%.y %.y]

                                                                                                                      but does not nest "sideways":

                                                                                                                      >  (~(nest ut [%atom %ud ~]) | [%atom %ux ~])
                                                                                                                      %.n

                                                                                                                      We call auras "soft types" since this nesting behavior can be ignored. Auras are non-coercive, but conversions may have to go via the empty aura, e.g.

                                                                                                                      > ^-(@ud ^-(@ 'foo'))
                                                                                                                      7.303.014

                                                                                                                      This is implicitly done by the irregular form of ^-.

                                                                                                                      > `@ud`'foo'
                                                                                                                      7.303.014

                                                                                                                      Bunting

                                                                                                                      The bunt value for all auras is 0 except for @da.

                                                                                                                      > *@da
                                                                                                                      ~2000.1.1

                                                                                                                      A bunt value of 0 is helpful when working with loobeans.

                                                                                                                      <-

                                                                                                                      Advanced Types