Structural Lateration · The Parent Primitive Patent Pending

Stop re-establishing what is already proven. Laterate off it — and the receipt is the invoice.

Structural Lateration (SLS) is the parent metering primitive that AFiR, MiR, RogueCompute, Stream, and OCR are children of. An agent triangulates its position off prior attested shapes, pays only the residual — the small remaining work — and gets a signed receipt where the avoided cost is cryptographically bound into the claims payload. The bill is non-disputable by design.

−72%
spend vs establishing solo
+0.403
separation (locality-sensitive)
ML-DSA-65
PQ signature per receipt
8 of 8
smoke criteria PASS
The SLS atom

The parent primitive — AFiR, MiR, RogueCompute, Stream, and OCR are all children of it.

Instead of re-establishing structural work from scratch, an agent laterates: it triangulates its position off several prior attested shapes in the Lattice field (n-body lateration) and pays only for the residual — the gap between what going solo would cost and what the lateration actually cost. That gap is the avoided cost, and it is the value created.

1Locality-sensitive

Similar inputs land near each other

The structural signature preserves neighborhood: related shapes cluster together in the Lattice field, and the measured separation between related and unrelated shapes is +0.403. Laterating off a close neighbor costs less because the residual is smaller.

2Non-invertible

You cannot reconstruct the input from its signature

The structural signature is a one-way function. The original input cannot be recovered from its shape in the field. This is the privacy split — the shape is useful for lateration but reveals nothing about what produced it.

3Useful

Laterating off the field cuts spend by up to 72%

The triple constraint only matters if the residual is cheap enough to matter. Laterating off attested shapes in the field reduces spend by up to 72% versus establishing the same work solo from scratch.

Revenue model

Three streams. All verifiable. Customer always lands below solo.

Every lateration event triggers up to three revenue events simultaneously. The controlling invariant is always true: customer_net is less than solo. If it is not, the lateration is invalid.

1 Nano receipt floor

$0.0001 per lateration receipt, always billed.

Every lateration event, regardless of avoided_cost or tenancy, produces one signed receipt and triggers the floor charge. It is the minimum revenue unit and the proof that the event happened.

  • floor = $0.0001 per receipt
  • always billed, no minimum avoided_cost threshold
  • anchors the audit trail even for very cheap laterations
  • composable: every child primitive (AFiR, MiR, Stream…) inherits this
Invariant check: floor is already factored into customer_net. The customer still lands below solo.
2 Savings clip

20% of avoided_cost. 1.5x privacy premium for cross-tenant reuse.

The clip is 20% of the avoided_cost. When a customer laterates off another tenant's attested shape, a 1.5x privacy premium applies — Hive receives 30% of the cross-tenant avoided_cost and the customer still nets below solo. The effective take rate is counter-cyclical: as solo_cost falls, the clip rate rises (0.318 to 0.333), so revenue is stable-to-rising in a downturn.

  • same-tenant clip: 20% of avoided_cost
  • cross-tenant clip: 20% × 1.5 privacy premium = 30%
  • counter-cyclical take rate: 0.318 → 0.333 as solo cost falls
  • customer_net < solo at every take-rate level
Counter-cyclical moat: revenue rises as the market becomes more competitive. The take rate is structurally bound to go up when prices go down.
3 Scout settlement

30 bps spread on cross-tenant reuse. Scout earns half.

When a tenant's attested shape is reused by another tenant, a 30 basis point spread applies to the notional value. Half of that spread goes to the scout who supplied the reused shape, and Hive keeps the other half. The scout is incentivized to contribute high-quality, reusable shapes to the Lattice field.

  • spread = 30 bps on cross-tenant notional
  • scout earns 50% of the spread (15 bps)
  • Hive keeps 50% of the spread (15 bps)
  • $1,000 notional: $3.00 spread, $1.50 to scout, $1.50 to Hive
Scout incentive: contributing a shape to the Lattice field generates passive settlement income on every future cross-tenant lateration that reuses it.
Controlling invariant

customer_net is always less than solo. Always.

All three streams together must still leave the customer below what going solo would have cost. This is not a policy commitment — it is a structural invariant enforced by the engine. If lateration + all fees exceeds solo_cost, the lateration does not happen.

  • customer_net < solo_cost: enforced, not aspirational
  • verified against 500 randomized inputs, 0 violations (T2)
  • any stream configuration that violates it is rejected
  • the moat is that helping the customer is the only option
Net position: customer_net ($0.4241) vs. solo ($1.00) — customer saves $0.5759 even after all three revenue streams are collected.
The economic moat

The signed receipt that proves the lateration IS the invoice for it.

The avoided_cost is bound inside the ML-DSA-65 (NIST FIPS 204) signed claims payload. The dollar amount is cryptographically tied to the work. If a customer disputes the bill by tampering avoided_cost, the receipt stops verifying — so disputing the bill destroys the proof the lateration ever helped them. The bill is non-disputable.

laterate_and_settle.py
# 1. price the lateration -- engine computes residual and avoided_cost
result = price_lateration(input_shape, lattice_field)
# result.solo_cost    = 1.00  (what going solo would cost)
# result.residual     = 0.28  (what laterating actually costs)
# result.avoided_cost = 0.72  (the value created)

# 2. mint the receipt -- avoided_cost is bound into the signed claims payload
receipt = mint_receipt(result, signer="ml-dsa-65")
# receipt.claims = { solo_cost: 1.00, residual: 0.28,
#                    avoided_cost: 0.72, clip: 0.144,
#                    customer_net: 0.4241, floor: 0.0001 }
# receipt.signature = ML-DSA-65 over claims (NIST FIPS 204)

# 3. verify the receipt -- clean path
v = verify_receipt(receipt, PUBLIC_KEY)
# v.ok == True  -- claims intact, signature valid

# 4. tamper avoided_cost and try to dispute the bill
receipt_tampered = tamper(receipt, field="avoided_cost", value=0.00)
v2 = verify_receipt(receipt_tampered, PUBLIC_KEY)
# v2.ok == False -- dispute destroys the proof the lateration helped
# INVARIANT: you cannot dispute the bill without erasing the evidence of the save
Worked example

$1.00 solo. $0.28 residual. $0.4241 customer net. Verified by the engine.

These are the exact numbers verified by the SLS engine. Use them for integration, QA, and contract pricing. They are not illustrative — they are the actual test-run outputs.

Field Value Notes
solo_cost_estimate $1.00 what establishing solo would cost
residual $0.28 actual cost of the lateration (same-tenant)
avoided_cost $0.72 solo − residual; the value created
receipt floor $0.0001 always billed, per lateration event
savings clip (20%) $0.144 20% of avoided_cost ($0.72 × 0.20)
Hive total revenue $0.1441 floor + clip ($0.0001 + $0.144)
customer_net $0.4241 residual + Hive revenue ($0.28 + $0.1441)
customer saves vs solo $0.5759 solo − customer_net ($1.00 − $0.4241)
Invariant holds

customer_net ($0.4241) < solo ($1.00) — verified against 500 randomized inputs, 0 violations

Scout settlement — $1,000 notional

30 bps spread on $1,000 notional = $3.00 total spread. Scout earns 50% = $1.50. Hive keeps 50% = $1.50. The scout provided the reused shape; the settlement is their passive return on contributing to the Lattice field.

Reduction to practice

8 of 8 smoke criteria PASS. Real values. Tamper rejected.

All eight smoke criteria run against the live signer. The numbers above are the actual outputs. Tamper is detected. Settlement drift is below 1e-6.

Smoke test 8 of 8 pass

  • T1receipt-is-invoice: tamper to avoided_cost detected, receipt fails verify
  • T2customer-always-ahead: 500 randomized inputs, 0 invariant violations
  • T3three-streams: floor + clip + scout all fire and total correctly
  • T4privacy-premium: 1.5x ratio confirmed cross-tenant, net < solo holds
  • T5scout economics: approximately 5x hot-vs-cold reuse ratio confirmed
  • T6scout-vs-lateration: scout settlement and lateration receipt are separate events
  • T7counter-cyclical: clip take-rate rises from 0.318 to 0.333 as solo_cost falls
  • T8settlement-conservation: arithmetic drift below 1e-6, no rounding leak

Engine properties

signature scheme
ML-DSA-65 (NIST FIPS 204)
locality separation
+0.403 (related vs. unrelated shapes)
take rate range (counter-cyclical)
0.318 → 0.333 as solo_cost falls

The signature is computed over the full claims payload including avoided_cost, clip, customer_net, and floor. Altering any field breaks the claims root and fails offline verify without a shared secret.

Who it's for

Any agent that does structural work already done by someone else.

If attested prior work is in the Lattice field, the cost of re-establishing it is replaced by a residual. The signed receipt is the invoice and the proof of the save.

Hive products

AFiR, MiR, Stream, OCR

All Hive proof products reuse attested work. AFiR-OCR, SRPR, Stream, and RogueCompute are children of SLS — every receipt they produce is a lateration receipt with avoided_cost bound in.

Multi-tenant inference

Shared inference platforms

Platforms running inference for multiple tenants can offer cross-tenant lateration with the privacy premium. Tenants pay less; the platform earns the clip and the scout spread on every cross-tenant reuse.

Media & royalties

CTV and royalty fraud detection

Structural fingerprints of content already adjudicated can be laterated off. New claims triangulate off prior attested decisions — the residual is the cost of proving the new claim incremental to prior work.

Agent swarms

Shared-context agents

Agent swarms that share structural context can laterate off each other's attested shapes. Each agent pays only the residual for work its neighbors have already proven — the Lattice field is the shared memory that has receipts.

Laterate. Pay the residual. Prove it.

The signed receipt that proves the lateration IS the invoice for it. avoided_cost is cryptographically bound — the bill is non-disputable and the proof of the save is inside it.

Structural Lateration · Patent Pending · USDC on Base
Structural Lateration is a patent-pending Hive Civilization primitive. It composes on the live signer — each receipt is one ML-DSA-65 (NIST FIPS 204) signature with avoided_cost bound inside the signed claims payload. The SLS atom is locality-sensitive (+0.403 separation), non-invertible (privacy split), and useful (−72% spend vs. solo). AFiR, MiR, RogueCompute, Stream, and OCR are children of this primitive. Acceptance testing: 8 of 8 smoke criteria PASS, 500 randomized invariant checks, 0 violations, settlement drift below 1e-6, counter-cyclical take rate confirmed (0.318 → 0.333). See the full receipt catalog at /receipts/ and the live signer at /sigr/.