One coherent breath is the base unit: 1 Φ. The installed v129 calculator publishes algorithm phi/kosmos-vφ-5, policy checksum b05b2049 and the following composition.

baselinePremium = rarity × quality × creator × provenance
  × closure × cadence × hold × resonance × age × churn
  × geometry × moment

dynamicGrowth = indexScarcity × adoptionLift
  × fibAccrualLift × lucasAccrualLift

floor = claimMoment × dynamicGrowth × max(1, genesisBias)
band = max(0, baselinePremium × dynamicGrowth − floor)
wave = Q(breath × day × strobe × affinity)
valueΦ = floor + band × wave + PV

Q(x) = Math.round(x × 1000000) / 1000000
PhiMicro = Math.round(valueΦ × 1000000)

The calculation retains ECMAScript binary64 numbers and Math functions. It quantizes the oscillators as specified above; rounding Phi micro-units is a display projection. The policy checksum identifies the original sorted-key policy bytes through a noncryptographic 32-bit FNV-like accumulator. It is not a signature.

In the proof-bound path, sealed declarations and admitted history supply the operands. Creator verification and reputation are explicitly unknown inputs, not verified facts. Legacy defaults such as size 1, medium quality, no creator verification, reputation 0 and absent cashflows are recorded as reproducibility-only. The low-level missing-origin fallback is never a substitute for a carried proof origin.

Each cashflow contributes amount / (1 + max(0, atPulse − evaluationPulse) / 17491.270421). This is a declared model operand, not independent evidence of future income.

Enable JavaScript to inspect the installed SDK policy.

The published base unit is one coherent breath = 1 Φ. The Original’s full valuation includes its source and the factors below.

The published law uses φ = (1 + √5) / 2. Its deterministic time index is I(p) = 1 − φ^−p/τ, where τ = 17,491.270421 × 365 pulses. This is a mathematical time index; it is not a live count of users.

age = max(0, evaluationPulse − originPulse)
indexScarcity = 1 + φ⁻⁴ × (1 − I(originPulse))
adoptionLift = exp((φ⁻³ + φ⁻² × rarityScore)
  × max(0, I(evaluationPulse) − I(originPulse)))
fibAccrualLift = exp(φ⁻⁶ × FibonacciLevels(age))
lucasAccrualLift = exp(φ⁻⁷ × LucasLevels(age))
dynamicGrowth = indexScarcity × adoptionLift
  × fibAccrualLift × lucasAccrualLift
floor = claimMoment × dynamicGrowth × max(1, genesisBias)
band = max(0, baselinePremium × dynamicGrowth − floor)
valueΦ = floor + band × combinedOscillation + presentValue

The Fibonacci and Lucas levels are counted by the original recurrence loops over the elapsed pulses. The fixed baseline includes the admitted source and history factors. The live oscillators are quantized as the published law specifies. The rarity floor and accrual terms are distinct from the living band, which can move in both directions. A later evaluation is not a promise of a market sale or a fixed investment return.

Inspect the complete formula, constants and rounding or reproduce your own Original’s value.

The Original keeps its origin and existing valuation. Its accepted proof history accounts for value already used. The remaining amount follows that evidence, rather than starting over when an account or owner changes.

remainingOriginalΦ(t) = max(0,
  OriginalValueΦ(t) − alreadyUsedΦ)

The proof carries the evidence for prior use. A wallet or database displays the verified result; it cannot restore consumed value or grant a second use. The existing account projection composes its admitted sources with the credits and debits carried in its accepted financial history.

For illustration, an eligible source value of 100 Φ and a recorded debit of 10 Φ leave 90 Φ available. If a later evaluation gives the same source 110 Φ, the same debit leaves 100 Φ. One 10 Φ payment and ten 1 Φ payments produce the same subtraction when their total recorded source-unit debit is identical.

Compare exact executed amounts. Payments at different conversion quotes can consume different Phi amounts even when their dollar totals match. Each executed quote and rounding remains part of its own record.

Transferring the Original changes its owner while preserving the same origin, valuation and prior-use history. The recipient receives the remaining value and its continuing accrual, rather than a fresh full-value credit. Sending money moves a specified amount and leaves ownership of the Original where it is.

The transfer advances ownership of the same Original. Its sealed origin, accepted signatures, existing valuation and consumption history continue. Its new owner receives the value that remains and the continuation of its original accrual.

For illustration, an Original valued at 100 Φ with 30 Φ already used carries 70 Φ remaining at transfer. If its later valuation is 110 Φ and no further value has been used, 80 Φ remains. The earlier 30 Φ stays accounted for. A new owner or a restored copy cannot erase that history.

The existing proof and custody rules govern which successor can be used. The database, display and receiving interface are projections beneath that carried evidence. A transfer preserves the Original’s existing value history; it does not reset the clock or issue the full original value again.

The accepted payment records its executed amount, exact units, conversion basis and coordinate. Later valuation does not rewrite that receipt. Sending money does not hand over ownership of the source Original or its future valuation history.

A Note retains its actual funded denomination and exact source units. An exact Phi amount and a dollar valuation at issue are distinct fields; their later presentation follows the Note’s own rules. Inspect how Notes carry funded value.

The complete SDK trace retains each formula, string operand, result, unit and source reference.

Use the same object metadata that produced the Φ value. Take floor(Kai µPulse / 1000000) from the live Kai clock. The Market calls quotePhiForUsd with that object’s intrinsic computation, the pinned default policy, a fixed $100 reference quote, zero streak, zero lifetime USD and zero planned hold. The Φ amount does not change the quoted rate.

q9(x) = Math.round(x × 1000000000) / 1000000000
multiplier = q9(M_adoption × M_premium × M_moment
  × sizeMultiplier × M_streak × M_tier × M_choir
  × M_breath × M_festival × M_milestone)
PhiPerUSD = q9(0.10 × multiplier)
USDPerPhi = q9(1 / PhiPerUSD)
Phi = PhiMicro / 1000000
USD cents = Math.round(Phi × USDPerPhi × 100)
USD display = USD cents / 100

These are Market’s original ECMAScript binary64 operations, nine-decimal quantization and multiplication/rounding order. The calculator uses the same quote and cent-conversion functions as Market. A listed object’s exact quote also depends on its recorded public display seed. The illustrative calculation preserves your selected quality, edition size and contributions; a verified original uses its admitted inputs. Those inputs can differ from a public listing’s display seed. It does not truncate the exchange rate to eight decimals or substitute a wallet aggregate rate.

Read the shared Market conversion · Read every factor and default