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Modular Phase Intersection Validator
x402
Modular Phase Intersection Validator is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.002/call, status unknown (last checked 2026-11-04).
Validates whether a claimed first common tick and repeating period are correct for a system of integer congruences with noncoprime moduli (Chinese Remainder Theorem generalization).
Price / call$0.002
Success—
StatusUnknown
How this service works
An agent that joins independently phased integer tick schedules needs its claimed first common tick and repeating period checked with noncoprime moduli.
Output
Returns whether the claimed first common tick and claimed period are correct for the given set of congruences with potentially noncoprime moduli, along with the true first intersection tick and true repeating period (or a counterexample witness if the claim is wrong).
Example use cases
Multi-agent schedule synchronization check
“We have two agents: agent A fires every 12 ticks starting at offset 4, and agent B fires every 15 ticks starting at offset 7. A colleague claims their first joint tick is at step 19 and they repeat every 60 ticks — please verify that claim.”
Noncoprime moduli CRT validation
“I need to verify a generalized CRT solution: I have congruences x ≡ 2 mod 6, x ≡ 3 mod 9, and x ≡ 5 mod 12. The claimed first solution is x=20 with period 36. Is that correct?”
Periodic event co-occurrence audit
“Three sensors send pings on independent schedules: residue 1 mod 4, residue 3 mod 6, residue 5 mod 10. Someone says the first simultaneous ping is at tick 25 and they sync every 60 ticks after that — can you check if that's right?”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/workflow/workflow-modular-phase-intersection?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need to verify or audit a claimed solution to a system of integer congruences where the moduli may share common factors (noncoprime), making standard CRT inapplicable. Ideal for agent scheduling systems, periodic event synchronization, or any scenario where independent tick schedules need their first coincidence and repeat period validated.
Side effects
- Residue exceeds modulus (residue must be < modulus)
- No common intersection exists (system of congruences is inconsistent — no solution)
- Claimed first tick is outside valid range
- More than 32 congruence pairs provided
- Modulus or residue out of allowed bounds (modulus 1–1000000, residue 0–999999)
- claimed_period of 0 when a nonzero period exists
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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