Protocol Parameters

All numeric values reflect the v10.x Foundry deployment. Values marked as default may be adjusted by governance within Rpp constraints; values without that annotation are immutable constants.

Time Constants

Parameter	Symbol	Value	Seconds	Location	Description
Century	CENTURY	36,525 days	3,155,760,000	Constant.sol:8	Reward formula denominator; normalizes annual rates to per-second accrual
Year	YEAR	365.25 days	31,557,600	Constant.sol:12	Defined as CENTURY / 100; used in APB year accounting
Month	MONTH	~30.44 days	2,629,800	Constant.sol:16	Minimum interval between Rpp-governed parameter changes
Week	WEEK	7 days	604,800	Constant.sol:20	Emigration window duration for reverse NFT migration
Day	DAY	24 hours	86,400	Constant.sol:24	Calendar day in seconds
Hour	HOUR	60 minutes	3,600	Constant.sol:28	Block hash validity window for PoW mining
Minute	MIN	60	60	Constant.sol:30	Base unit; target APOW minting rate is ~1 token/min
Second	SEC	1	1	Constant.sol:36	Reference unit for all time calculations

Mining Parameters

Parameter	Value	Location	Description
Max block hash age	1 hour (3,600 s)	XPower.sol:118	Block hashes expire 1 hour after init(); solutions must be submitted within the same interval
Mining interval	1 hour	XPower.sol:112	Block hashes are bucketed into 1-hour intervals via block.timestamp / 3600
Treasury split	50%	XPower.sol:96-98	Half of each mint to miner's beneficiary, half to MoeTreasury (contract owner)
Reward formula	$R(z)=(2^z-1)\times {10}^{18}$ XPOW	XPower.sol:139+	Exponential reward curve based on leading zero nibbles $z$
Hash function	Keccak-256	XPower.sol:126	EVM-native SHA3 opcode; applied over (address XOR beneficiary) \parallel blockHash \parallel data
Minimum difficulty	$z\ge 1$	XPower.sol:90	At least one leading zero nibble required; empty nonce hash reverts
Pair index dedup	Nonce-hash XOR block-hash	XPower.sol:127	One-to-one mapping per (beneficiary, blockHash) tuple; replays revert

NFT Parameters

Parameter	Value	Location	Description
Level step	3	Nft.sol:58	Valid levels are multiples of 3:
Max level	99	Nft.sol:56	Levels 100+ revert with InvalidLevel
Number of levels	34	—	0 through 99 inclusive, step 3
Upgrade ratio	1,000:1	XPowerNft.sol	1,000 NFTs at level $\ell$ burn to mint 1 at level $\ell +3$
Denomination	$D(\ell )={10}^{\ell }$ XPOW	Nft.sol:50	Per-NFT XPOW value at a given level
NFT ID encoding	$100\times \text{year}+\ell$	Nft.sol:54	Collision-free encoding of year and level into uint256
Maturity offset	$2^{\lfloor \ell /3\rfloor }-1$ years	Nft.sol:62	Years from mint year until NFT can be redeemed
Min mint year	2021	Nft.sol:55	Years 2020 and earlier revert with InvalidYear
Royalty	0.5% (price / 200)	NftRoyalty.sol:27	ERC-2981 royalty on secondary NFT sales; beneficiary set by NFT_ROYAL_ROLE

Reward Parameters

Parameter	Symbol	Default	Location	Description
APR add	array[0]	0	MoeTreasury.sol	Additive constant in eval3 polynomial; also carries dynamic scalar
APR div	array[1]	3	MoeTreasury.sol	Divisor in eval3; must be non-zero
APR mul	array[2]	3,375,000	MoeTreasury.sol	Multiplier in eval3; must be non-zero
APR exp	array[3]	256	MoeTreasury.sol	Exponent numerator (root fixed at 256); range 128–512
APB add	array[0]	0	MoeTreasury.sol	Additive constant for age-based bonus polynomial
APB div	array[1]	1	MoeTreasury.sol	Divisor for APB polynomial
APB mul	array[2]	100,000	MoeTreasury.sol	Multiplier yielding 0.1% APB per year at default $e=256$
APB exp	array[3]	256	MoeTreasury.sol	Exponent numerator for APB polynomial
Exponent root	—	256	Power.sol:10	Root for all exponentiation; exponent is numerator/256
Reward denominator	${10}^6\times \text{CENTURY}$	3,155,760,000 × 10^6	MoeTreasury.sol:212	Converts PPM rate to per-second fraction over a century
PPM unit	${10}^6$	1,000,000	MoeTreasury.sol	Parts per million; 10^6 PPM = 100% annual rate

Anti-Gaming Parameters

Parameter	Value	Location	Description
MIN_NET2RIP	100	Banq.sol:128	Minimum ratio of net balance increase to excess (rip) supply; lower ratios revert
APOW supply cap	43,830 tokens	Banq.sol (constructor)	Hard cap on total APOW supply; derived from 1 token/min × 20 years
Cap enforcement	Atomic per-claim	Banq.sol:37-38	totalSupply() > _free_supply reverts entire transaction; no partial minting
Migration cap bypass	_free_supply = 0	SovMigratable.sol	Migration mirrors existing supply; original cap was already enforced

Rpp Parameters (Rug Pull Protection)

Parameter	Value	Location	Description
Multiplier upper bound	2.0×	Rpp.sol:30	New parameter value cannot exceed 2× the previous value
Multiplier lower bound	0.5×	Rpp.sol:25	New parameter value cannot be less than 0.5× the previous value
Minimum change interval	1 month (2,629,800 s)	Rpp.sol:41	Timestamp of next change must be at least MONTH after last change
Array length	4	Rpp.sol:14	APR and APB parameter arrays must contain exactly 4 elements
Array div validation	array[1] > 0	Rpp.sol:15	Divisor must be non-zero to prevent division-by-zero
Array mul validation	array[2] > 0	Rpp.sol:16	Multiplier must be non-zero to prevent zero-rate pathologies
Initial value cap	next ≤ unit when last == 0	Rpp.sol:34	First parameterization bounded by unit (1e6 for rates, APR_MUL for means)

Migration Parameters

Parameter	Value	Location	Description
Migration deadline	~4 years (126,230,400 s)	Migratable.sol:44-45	Relative deadline from contract deployment; auto-seals after expiry
Emigration window	7 days (604,800 s)	NftMigratable.sol	Reverse direction open window (new → old); admin-gated
Token migration ratio	1:1	MoeMigratable.sol	Old XPOW burns, new XPOW mints at identical amount
Sealing	One-way, irreversible	Migratable.sol:172-173	seal() sets flag that cannot be unset; no reverse migration after sealing