A symbolic Hamiltonian-system test agent needs every exact polynomial Jacobiator...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/polynomial-poisson-bivector-jacobi-obstructionOverview
A symbolic Hamiltonian-system test agent needs every exact polynomial Jacobiator coefficient for an arbitrary polynomial bivector, including nonlinear non-Poisson fields; a two-vector-field Lie bracket or abstract finite-dimensional structure table does not supply this.
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uncategorized
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detect
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bazaar
Indexed
2026-11-02 17:26:22
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unknown
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Uptime (30d)
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Never
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Input Schema
{
"body": {
"artifact": {
"poisson": {
"claim": {
"jacobiators": [],
"poisson": false
},
"entries": [
{
"i": 0,
"j": 1,
"terms": [
{
"coefficient": 1,
"exponents": [
0,
1
]
},
{
"coefficient": 1,
"exponents": [
2,
0
]
}
]
}
],
"variables": 2
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "polynomial-poisson-bivector-jacobi-obstruction_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"2–4 formal variables, canonical independent entries i<j, missing entries zero; integer coefficient absolute≤8, total degree≤2, total≤16 supplied monomials. Duplicate monomials combine exactly.",
"All increasing triples returned, even with zero polynomial; terms lexicographic ascending exponent vectors, coefficients canonical integer strings. Checks full polynomial identity, not samples, finite-dimensional constant Lie tables or bracket of two vector fields."
],
"module": "polynomial-poisson-bivector-jacobi-obstruction",
"state": "observed",
"value": {
"claim_matches": false,
"jacobiators": [],
"poisson": true
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}