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Pith Number

pith:YZQKUDMH

pith:2024:YZQKUDMHXBB2IWRTZLZVPF2L3Z
not attested not anchored not stored refs pending

Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies

Haonan Qu, Si-Qi Liu, Youjin Zhang

arxiv:2411.15496 v1 · 2024-11-23 · math-ph · math.DG · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YZQKUDMHXBB2IWRTZLZVPF2L3Z}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T09:39:35.877637Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c660aa0d87b843a45a33caf357974bde4a040b4a21561bcf769987602405dc6b

Aliases

arxiv: 2411.15496 · arxiv_version: 2411.15496v1 · doi: 10.48550/arxiv.2411.15496 · pith_short_12: YZQKUDMHXBB2 · pith_short_16: YZQKUDMHXBB2IWRT · pith_short_8: YZQKUDMH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YZQKUDMHXBB2IWRTZLZVPF2L3Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c660aa0d87b843a45a33caf357974bde4a040b4a21561bcf769987602405dc6b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fa4416403e349bb5870f587823779e193b8d73b54b5709ef96ac540dee880ac0",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-11-23T09:00:35Z",
    "title_canon_sha256": "d2a0399fbc2a0aae7cb58ed1c841379b0fd3a04338e5c22d4708d8e69127c9c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15496",
    "kind": "arxiv",
    "version": 1
  }
}