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Price Lattice

One price per asset, fitted over the whole book, and the decomposition lattice above it filled with everything that fit could not explain. The covector is what the market agrees on; the residuals are where it does not.

Assets fitted
3
Evidence edges
2
Gauge components
1
Arcs
4
Drawn nodes
4
Bundle premiums
0
live price fit — covector, residual field, bundle premiums
positions
4
assets
3
arcs
4
drawn nodes
4
premiums
0
fit
converged

Price Covector

Fitted log-price potential 3
BTC · log-price 4.93 · ×138.14 vs gauge mean-zero · component 0 · 2 positionsBTC4.93ETH · log-price 1.5 · ×4.46 vs gauge mean-zero · component 0 · 2 positionsETH1.5USD · log-price -6.42 · ×0 vs gauge mean-zero · component 0 · 4 positionsUSD-6.42log-price vs gauge mean-zero · right = dearer, left = cheaper · strip = positions behind the fit
3 assets over 1 gauge component(s), 2 pooled evidence edges. Only DIFFERENCES within a component mean anything — the gauge is arbitrary.

Decomposition Lattice

0.01gauge mean-zeroClient lens: dims drawn nodes, and clicking a covector bar re-expresses the potential against that asset. The server prune at 0.01 is what decided which nodes exist.
Decomposition lattice 4
r2BTC==USD · rank 2 · residual 0 · 1 positionsBTC==USD0ETH==USD · rank 2 · residual 0 · 1 positionsETH==USD0USD==BTC · rank 2 · residual 0 · 1 positionsUSD==BTC0USD==ETH · rank 2 · residual 0 · 1 positionsUSD==ETH0rows = rank (low at bottom) · fill = signed residual vs 0 · dashed node = unmeasured · floor 0.01, 0 pruned, 0 unmeasured · gauge mean-zero
4 of 4 enumerated arcs earned ink: a node is drawn when it holds a live position or its residual clears 0.01. Everything else is implied and renders as scaffolding.

Bundle Premiums

No rank>1 arc in the book — every position is a classical 1-1 exchange, so the rank-1 shadow explains all of it.

Feasible Shadow

Feasible flow shadow · USD × ETH 4
ΔUSDΔETH-46593402-16204top 100% shell · 4 of 4 positions · extent ±46593402 USD, ±16204 ETH · deepest: external-coinbase-eth-usd-ask, external-coinbase-eth-usd-bid, external-coinbase-btc-usd-asktop 50% shell · 2 of 4 positions · extent ±44550150.5 USD, ±16204 ETH · deepest: external-coinbase-eth-usd-ask, external-coinbase-eth-usd-bidtop 25% shell · 1 of 4 positions · extent ±22275480.5 USD, ±8102 ETH · deepest: external-coinbase-eth-usd-askexternal-coinbase-eth-usd-ask · ΔUSD 44550961 · ΔETH -16204 · vertex (42506899, -16204)external-coinbase-btc-usd-ask · ΔUSD 2043334 · ΔETH 0 · vertex (44550233, -16204)external-coinbase-btc-usd-bid · ΔUSD -2043169 · ΔETH 0 · vertex (46593402, -16204)external-coinbase-eth-usd-bid · ΔUSD -44549340 · ΔETH 16204 · vertex (2044062, 0)external-coinbase-eth-usd-ask · ΔUSD 44550961 · ΔETH -16204 · vertex (-42506899, 16204)external-coinbase-btc-usd-ask · ΔUSD 2043334 · ΔETH 0 · vertex (-44550233, 16204)external-coinbase-btc-usd-bid · ΔUSD -2043169 · ΔETH 0 · vertex (-46593402, 16204)external-coinbase-eth-usd-bid · ΔUSD -44549340 · ΔETH 16204 · vertex (-2044062, -0)no trade (λ = 0 for every position) · -893, -0 from the balanced pointzonogon of 4 divisible fills · shells = top 25/50/100% by magnitude · origin = balanced point, ring = no trade · axes scale independently · NOT modeled: all-or-nothing fills, fees, conservation, integrality — a shadow is a superset
Basis pair = the two loudest assets in the fit, by total absolute flow (USD, ETH); 4 of 4 live positions project onto it. With divisible resting depth each position is a segment in bundle-flow space and the market's reachable set is their Minkowski sum — a zonotope — so this 2-D shadow is the EXACT zonogon, not a sketch: projections of polyhedra are polyhedra. It is a shadow, though, so it can be strictly wider than any single quote in that sub-market, and it models neither all-or-nothing fills, fees, settlement conservation, nor integral sizes.

Cleared Flow

No cleared transactions in the recent window (the last 60 are scanned) — nothing has settled for the fit to decompose. The book above is what is offered; this section is what moved.

Clearing Certificate

No clearing certificate: this runtime has no truth handle.
The certificate rides the persisted match-result payload, and there is no store to read it from. Nothing at all is claimed here — not even that a round happened.
Feasibility — unestablishedConservation — unestablishedNo blocking template — unestablished

Liquidity Field

No gap shapes persisted yet. The matcher records a near-miss only when a route template comes up exactly one arc short, so an empty field means either no match run has happened against this store or every ring it walked was already complete — it does NOT mean the book is saturated. Run a match (LatticeMatch.Routes) over a book with an unfilled ring and the wanted ads appear here.