Skip to content
Technical Reference

SHA

Contract addressInstance-specific
Hash-verified 0x519c4e41…d65b15
Source details
Property Value
Keccak256 Hash 0x519c4e414616a2d1eff8a9b74e4d6f60486771223dc0519482f6314ec4d65b15
Source URL https://raw.githubusercontent.com/busytoby/atropa_pulsechain/58607494f7741b80525953e4a85bc99e66fd20fc/solidity/dysnomia/02_sha.sol
Source Revision 58607494f7741b80525953e4a85bc99e66fd20fc
Source Status Canonical source snapshot; deployed bytecode equivalence is only established where a deployment record says so.
Compiler solc 0.8.21; optimizer enabled with 200 runs
Compiler Configuration {"evmVersion":"compiler-default","optimizer":{"enabled":true,"runs":200},"version":"0.8.21+commit.d9974bed.Linux.g++"}
Compilation Closure Hash 0xa697ab004dfd4a427192eaa3c4a5c3db89a173e61130947de9033a4dfd0f01d3
Compilation Closure Files 5
Hash Generated 2026-09-14T19:33:32Z

SHA is a cryptographic state token that implements modular exponentiation-based transformations. Each SHA instance maintains internal state (Fa) that can be manipulated through various operations to produce deterministic but unpredictable outputs.

  • Kind: Contract
  • License: Sharia
  • Solidity: ^0.8.21
  • Source: 02_sha.sol
  1. selfSHA
  2. DYSNOMIA
  3. MultiOwnable

Plain English Summary: SHA is your secret key generator. It creates unique cryptographic codes that prove things belong to you. When you join the game, a SHA token is created for you that generates your unique identity fingerprints - no one else can have the same codes as you.

Real-World Analogy: Think of SHA like a personal stamp-making machine. Each stamp you create is unique to you, and when you stamp something, everyone knows it came from you. The machine uses complex math to ensure no one can forge your stamp.

How It Affects Your Gameplay:

  • Identity proof - Your SHA generates codes that prove actions came from you
  • Secure pairing - SHA tokens work in pairs (Rod/Cone) to create unbreakable links
  • Reaction mechanics - When you interact with the game, your SHA “reacts” to produce unique outputs
Variable Type Visibility Mutability Initial Value NatSpec
Type string public constant SHA
Mu Fa private mutable ``
Dynamo uint64 public mutable ``
Error Parameters NatSpec
ReactionZeroError uint64 Eta, uint64 Kappa
constructorconstructor
constructor(string memory name, string memory symbol, address MathLib) DYSNOMIA(name, symbol, MathLib)
  • Modifiers: DYSNOMIA(name, symbol, MathLib)
  • Parameters: string memory name, string memory symbol, address MathLib
Viewfunction
function View() public view returns (Fa memory)

Open this function to load its call form.

  • Visibility: public
  • State Mutability: view
  • Returns: Fa memory
Fusefunction
function Fuse(uint64 _rho, uint64 Upsilon, uint64 Ohm) public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
  • Parameters: uint64 _rho, uint64 Upsilon, uint64 Ohm
Availfunction
function Avail(uint64 Xi) public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
  • Parameters: uint64 Xi
Formfunction
function Form(uint64 Chi) public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
  • Parameters: uint64 Chi
Polarizefunction
function Polarize() public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
Conjugatefunction
function Conjugate(uint64 Chi) public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
  • Parameters: uint64 Chi
Conifyfunction
function Conify(uint64 _Beta) public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
  • Parameters: uint64 _Beta
Saturatefunction
function Saturate(uint64 _Beta, uint64 Epsilon, uint64 Theta) public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
  • Parameters: uint64 _Beta, uint64 Epsilon, uint64 Theta
Bondfunction
function Bond() public onlyOwners

Open this function to load its call form.

  • Visibility: public
  • Modifiers: onlyOwners
Adductfunction
function Adduct(uint64 _Phi) public returns (uint64)

Open this function to load its call form.

  • Visibility: public
  • Parameters: uint64 _Phi
  • Returns: uint64
Reactfunction
function React(uint64 Pi, uint64 Theta) public returns (uint64, uint64)

Open this function to load its call form.

  • Visibility: public
  • Parameters: uint64 Pi, uint64 Theta
  • Returns: uint64, uint64
Augmentfunction
function Augment() internal
  • Visibility: internal
Seedfunction
function Seed() private
  • Visibility: private
Tunefunction
function Tune() private
  • Visibility: private

This contract inherits the members below from its parents. See each parent’s dedicated MD for full signatures, NatSpec, and semantics.

External & Public Functions

Function Signature State Mutability
Rename function Rename(string memory newName, string memory newSymbol) public onlyOwners nonpayable
mintToCap function mintToCap() public onlyOwners nonpayable
GetMarketRate function GetMarketRate(address _a) public view returns (uint256) view
Purchase function Purchase(address _t, uint256 _a) public nonpayable
Redeem function Redeem(address _t, uint256 _a) public nonpayable
name function name() public view virtual returns (string memory) view
symbol function symbol() public view virtual returns (string memory) view
decimals function decimals() public view virtual returns (uint8) view
totalSupply function totalSupply() public view virtual returns (uint256) view
balanceOf function balanceOf(address account) public view virtual returns (uint256) view
transfer function transfer(address to, uint256 value) public virtual returns (bool) nonpayable
allowance function allowance(address owner, address spender) public view virtual returns (uint256) view
approve function approve(address spender, uint256 value) public virtual returns (bool) nonpayable
transferFrom function transferFrom(address from, address to, uint256 value) public virtual returns (bool) nonpayable

Internal Functions

Function Signature
_mintToCap function _mintToCap() internal
AddMarketRate function AddMarketRate(address _a, uint256 _r) internal
_transfer function _transfer(address from, address to, uint256 value) internal
_update function _update(address from, address to, uint256 value) internal virtual
_mint function _mint(address account, uint256 value) internal
_approve function _approve(address owner, address spender, uint256 value) internal
_spendAllowance function _spendAllowance(address owner, address spender, uint256 value) internal virtual
log10 function log10(uint256 value) internal pure returns (uint256)
String function String(uint256 value) internal pure returns (string memory buffer)
Hex function Hex(address account) internal pure returns (string memory)

Events

Event Parameters
Transfer address indexed from, address indexed to, uint256 value
Approval address indexed owner, address indexed spender, uint256 value

Errors

Error Parameters
MarketRateNotFound address asset
DysnomiaInsufficientBalance address origin, address sender, address from, address to, address what, uint256 balance, uint256 needed
DysnomiaInsufficientAllowance address origin, address sender, address owner, address spender, address what, uint256 allowance, uint256 needed

State Variables (private parent storage is not reachable and is omitted)

Variable Type Visibility Mutability
__name string internal mutable
__symbol string internal mutable
MotzkinPrime uint64 public constant
Xiao atropaMath public mutable
maxSupply uint256 public mutable

External & Public Functions

Function Signature State Mutability
owner function owner() external view virtual returns (address) view
renounceOwnership function renounceOwnership(address toRemove) public virtual onlyOwners nonpayable
addOwner function addOwner(address newOwner) public virtual onlyOwners nonpayable

Internal Functions

Function Signature
_checkOwner function _checkOwner() internal view virtual
_changeOwnership function _changeOwnership(address cOwner, bool cState) internal virtual

Events

Event Parameters
OwnershipUpdate address indexed newOwner, bool indexed state

Errors

Error Parameters
OwnableUnauthorizedAccount address origin, address account, address what
OwnableInvalidOwner address origin, address owner, address what

Modifiers

Modifier Parameters
onlyOwners (none)
  • DYSNOMIA - Base token functionality
  • VMREQ - Random number generation

Constructor follows three-phase initialization:

  1. Seed: Generate random Base, Secret, Signal
  2. Tune: Compute Channel = Base^Signal mod MotzkinPrime
  3. Augment: Mint initial tokens

SHA tokens are designed to work in pairs (Rod/Cone in SHIO). The Conjugate, Conify, and Saturate operations exchange state between paired tokens to establish cryptographic binding.

The React function produces two outputs that should be symmetric when called on paired SHA tokens with cross-referenced Channels, enabling verification of proper pairing.








Inherited functions and getters (23)
SHA.Dynamo()Read

Open this function to load its call form.

SHA.GetMarketRate(address _a)Read

Open this function to load its call form.

SHA.MotzkinPrime()Read

Open this function to load its call form.

SHA.Purchase(address _t, uint256 _a)Simulate / call

Open this function to load its call form.

SHA.Redeem(address _t, uint256 _a)Simulate / call

Open this function to load its call form.

SHA.Rename(string newName, string newSymbol)Simulate / call

Open this function to load its call form.

SHA.Type()Read

Open this function to load its call form.

SHA.Xiao()Read

Open this function to load its call form.

SHA.addOwner(address newOwner)Simulate / call

Open this function to load its call form.

SHA.allowance(address owner, address spender)Read

Open this function to load its call form.

SHA.approve(address spender, uint256 value)Simulate / call

Open this function to load its call form.

SHA.balanceOf(address account)Read

Open this function to load its call form.

SHA.decimals()Read

Open this function to load its call form.

SHA.maxSupply()Read

Open this function to load its call form.

SHA.mintToCap()Simulate / call

Open this function to load its call form.

SHA.name()Read

Open this function to load its call form.

SHA.owner(address cOwner)Read

Open this function to load its call form.

SHA.owner()Read

Open this function to load its call form.

SHA.renounceOwnership(address toRemove)Simulate / call

Open this function to load its call form.

SHA.symbol()Read

Open this function to load its call form.

SHA.totalSupply()Read

Open this function to load its call form.

SHA.transfer(address to, uint256 value)Simulate / call

Open this function to load its call form.

SHA.transferFrom(address from, address to, uint256 value)Simulate / call

Open this function to load its call form.

The compiled ABI below is produced by solc 0.8.21 from the exact source bytes recorded in Source details. Consumers can paste it directly into ethers/web3/viem.

Click to expand JSON ABI
[
{
"inputs": [
{
"internalType": "string",
"name": "name",
"type": "string"
},
{
"internalType": "string",
"name": "symbol",
"type": "string"
},
{
"internalType": "address",
"name": "MathLib",
"type": "address"
}
],
"stateMutability": "nonpayable",
"type": "constructor"
},
{
"inputs": [
{
"internalType": "address",
"name": "origin",
"type": "address"
},
{
"internalType": "address",
"name": "sender",
"type": "address"
},
{
"internalType": "address",
"name": "owner",
"type": "address"
},
{
"internalType": "address",
"name": "spender",
"type": "address"
},
{
"internalType": "address",
"name": "what",
"type": "address"
},
{
"internalType": "uint256",
"name": "allowance",
"type": "uint256"
},
{
"internalType": "uint256",
"name": "needed",
"type": "uint256"
}
],
"name": "DysnomiaInsufficientAllowance",
"type": "error"
},
{
"inputs": [
{
"internalType": "address",
"name": "origin",
"type": "address"
},
{
"internalType": "address",
"name": "sender",
"type": "address"
},
{
"internalType": "address",
"name": "from",
"type": "address"
},
{
"internalType": "address",
"name": "to",
"type": "address"
},
{
"internalType": "address",
"name": "what",
"type": "address"
},
{
"internalType": "uint256",
"name": "balance",
"type": "uint256"
},
{
"internalType": "uint256",
"name": "needed",
"type": "uint256"
}
],
"name": "DysnomiaInsufficientBalance",
"type": "error"
},
{
"inputs": [
{
"internalType": "address",
"name": "asset",
"type": "address"
}
],
"name": "MarketRateNotFound",
"type": "error"
},
{
"inputs": [
{
"internalType": "address",
"name": "origin",
"type": "address"
},
{
"internalType": "address",
"name": "owner",
"type": "address"
},
{
"internalType": "address",
"name": "what",
"type": "address"
}
],
"name": "OwnableInvalidOwner",
"type": "error"
},
{
"inputs": [
{
"internalType": "address",
"name": "origin",
"type": "address"
},
{
"internalType": "address",
"name": "account",
"type": "address"
},
{
"internalType": "address",
"name": "what",
"type": "address"
}
],
"name": "OwnableUnauthorizedAccount",
"type": "error"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "Eta",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Kappa",
"type": "uint64"
}
],
"name": "ReactionZeroError",
"type": "error"
},
{
"anonymous": false,
"inputs": [
{
"indexed": true,
"internalType": "address",
"name": "owner",
"type": "address"
},
{
"indexed": true,
"internalType": "address",
"name": "spender",
"type": "address"
},
{
"indexed": false,
"internalType": "uint256",
"name": "value",
"type": "uint256"
}
],
"name": "Approval",
"type": "event"
},
{
"anonymous": false,
"inputs": [
{
"indexed": true,
"internalType": "address",
"name": "newOwner",
"type": "address"
},
{
"indexed": true,
"internalType": "bool",
"name": "state",
"type": "bool"
}
],
"name": "OwnershipUpdate",
"type": "event"
},
{
"anonymous": false,
"inputs": [
{
"indexed": true,
"internalType": "address",
"name": "from",
"type": "address"
},
{
"indexed": true,
"internalType": "address",
"name": "to",
"type": "address"
},
{
"indexed": false,
"internalType": "uint256",
"name": "value",
"type": "uint256"
}
],
"name": "Transfer",
"type": "event"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "_Phi",
"type": "uint64"
}
],
"name": "Adduct",
"outputs": [
{
"internalType": "uint64",
"name": "",
"type": "uint64"
}
],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "Xi",
"type": "uint64"
}
],
"name": "Avail",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [],
"name": "Bond",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "_Beta",
"type": "uint64"
}
],
"name": "Conify",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "Chi",
"type": "uint64"
}
],
"name": "Conjugate",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [],
"name": "Dynamo",
"outputs": [
{
"internalType": "uint64",
"name": "",
"type": "uint64"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "Chi",
"type": "uint64"
}
],
"name": "Form",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "_rho",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Upsilon",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Ohm",
"type": "uint64"
}
],
"name": "Fuse",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "_a",
"type": "address"
}
],
"name": "GetMarketRate",
"outputs": [
{
"internalType": "uint256",
"name": "",
"type": "uint256"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "MotzkinPrime",
"outputs": [
{
"internalType": "uint64",
"name": "",
"type": "uint64"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "Polarize",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "_t",
"type": "address"
},
{
"internalType": "uint256",
"name": "_a",
"type": "uint256"
}
],
"name": "Purchase",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "Pi",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Theta",
"type": "uint64"
}
],
"name": "React",
"outputs": [
{
"internalType": "uint64",
"name": "",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "",
"type": "uint64"
}
],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "_t",
"type": "address"
},
{
"internalType": "uint256",
"name": "_a",
"type": "uint256"
}
],
"name": "Redeem",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "string",
"name": "newName",
"type": "string"
},
{
"internalType": "string",
"name": "newSymbol",
"type": "string"
}
],
"name": "Rename",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "uint64",
"name": "_Beta",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Epsilon",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Theta",
"type": "uint64"
}
],
"name": "Saturate",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [],
"name": "Type",
"outputs": [
{
"internalType": "string",
"name": "",
"type": "string"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "View",
"outputs": [
{
"components": [
{
"internalType": "uint64",
"name": "Base",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Secret",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Signal",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Channel",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Contour",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Pole",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Identity",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Foundation",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Element",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Coordinate",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Charge",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Chin",
"type": "uint64"
},
{
"internalType": "uint64",
"name": "Monopole",
"type": "uint64"
}
],
"internalType": "struct Fa",
"name": "",
"type": "tuple"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "Xiao",
"outputs": [
{
"internalType": "contract atropaMath",
"name": "",
"type": "address"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "newOwner",
"type": "address"
}
],
"name": "addOwner",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "owner",
"type": "address"
},
{
"internalType": "address",
"name": "spender",
"type": "address"
}
],
"name": "allowance",
"outputs": [
{
"internalType": "uint256",
"name": "",
"type": "uint256"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "spender",
"type": "address"
},
{
"internalType": "uint256",
"name": "value",
"type": "uint256"
}
],
"name": "approve",
"outputs": [
{
"internalType": "bool",
"name": "",
"type": "bool"
}
],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "account",
"type": "address"
}
],
"name": "balanceOf",
"outputs": [
{
"internalType": "uint256",
"name": "",
"type": "uint256"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "decimals",
"outputs": [
{
"internalType": "uint8",
"name": "",
"type": "uint8"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "maxSupply",
"outputs": [
{
"internalType": "uint256",
"name": "",
"type": "uint256"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "mintToCap",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [],
"name": "name",
"outputs": [
{
"internalType": "string",
"name": "",
"type": "string"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "cOwner",
"type": "address"
}
],
"name": "owner",
"outputs": [
{
"internalType": "bool",
"name": "",
"type": "bool"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "owner",
"outputs": [
{
"internalType": "address",
"name": "",
"type": "address"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "toRemove",
"type": "address"
}
],
"name": "renounceOwnership",
"outputs": [],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [],
"name": "symbol",
"outputs": [
{
"internalType": "string",
"name": "",
"type": "string"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [],
"name": "totalSupply",
"outputs": [
{
"internalType": "uint256",
"name": "",
"type": "uint256"
}
],
"stateMutability": "view",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "to",
"type": "address"
},
{
"internalType": "uint256",
"name": "value",
"type": "uint256"
}
],
"name": "transfer",
"outputs": [
{
"internalType": "bool",
"name": "",
"type": "bool"
}
],
"stateMutability": "nonpayable",
"type": "function"
},
{
"inputs": [
{
"internalType": "address",
"name": "from",
"type": "address"
},
{
"internalType": "address",
"name": "to",
"type": "address"
},
{
"internalType": "uint256",
"name": "value",
"type": "uint256"
}
],
"name": "transferFrom",
"outputs": [
{
"internalType": "bool",
"name": "",
"type": "bool"
}
],
"stateMutability": "nonpayable",
"type": "function"
}
]