Pith Number

pith:JFBBPTCN

pith:2006:JFBBPTCNZEPCPZ7T3SJTPQS6KI

not attested not anchored not stored refs pending

On some algebraic examples of Frobenius manifolds

A.E. Mironov, I.A. Taimanov

arxiv:math-ph/0609033 v1 · 2006-09-12 · math-ph · math.DG · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFBBPTCNZEPCPZ7T3SJTPQS6KI}

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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	2026-07-04T17:02:07.159867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494217cc4dc91e27e7f3dc9337c25e520a7888a831a982f4f8678adb289b9c14

Aliases

arxiv: math-ph/0609033 · arxiv_version: math-ph/0609033v1 · doi: 10.48550/arxiv.math-ph/0609033 · pith_short_12: JFBBPTCNZEPC · pith_short_16: JFBBPTCNZEPCPZ7T · pith_short_8: JFBBPTCN

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/JFBBPTCNZEPCPZ7T3SJTPQS6KI \
  | 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: 494217cc4dc91e27e7f3dc9337c25e520a7888a831a982f4f8678adb289b9c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73dfe5a6029b6e35b329e64c133ddd831838ad6e42bd7255481bd427d57f6042",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-12T05:26:15Z",
    "title_canon_sha256": "c00460e26cfeda66054d04c848e0d49f7fdaf1ffd44618941ec3df69e2cfc98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609033",
    "kind": "arxiv",
    "version": 1
  }
}