Pith Number

pith:4V7WGUVH

pith:2022:4V7WGUVHZKGAEMYV6OPMZJBMOC

not attested not anchored not stored refs pending

Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies

Haonan Qu, Si-Qi Liu, Youjin Zhang

arxiv:2209.00483 v3 · 2022-09-01 · math-ph · math.DG · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4V7WGUVHZKGAEMYV6OPMZJBMOC}

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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

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

Receipt and verification

First computed	2026-07-05T08:57:32.556597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57f6352a7ca8c023315f39ecca42c7095e139e641df0be3d1a3013156adda36

Aliases

arxiv: 2209.00483 · arxiv_version: 2209.00483v3 · doi: 10.48550/arxiv.2209.00483 · pith_short_12: 4V7WGUVHZKGA · pith_short_16: 4V7WGUVHZKGAEMYV · pith_short_8: 4V7WGUVH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4V7WGUVHZKGAEMYV6OPMZJBMOC \
  | 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: e57f6352a7ca8c023315f39ecca42c7095e139e641df0be3d1a3013156adda36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11deb76bb238a0e5f42c15263d94e0ce86f728d8f4a6d39b30a9bc53c24dca25",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-09-01T14:13:02Z",
    "title_canon_sha256": "b498dd1e37815bc0ca63720388cbc08b9ba3203772da6157daa9623d8dc3568a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00483",
    "kind": "arxiv",
    "version": 3
  }
}