Pith Number

pith:VOUMGRG7

pith:2013:VOUMGRG7ZLTSEHGQIAR4VXRZAS

not attested not anchored not stored refs pending

Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy

Chao-Zhong Wu, Dafeng Zuo

arxiv:1305.1030 v2 · 2013-05-05 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOUMGRG7ZLTSEHGQIAR4VXRZAS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T02:59:48.015412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba8c344dfcae7221cd04023cade390492e41ed32509bd39114e152b35396077

Aliases

arxiv: 1305.1030 · arxiv_version: 1305.1030v2 · doi: 10.48550/arxiv.1305.1030 · pith_short_12: VOUMGRG7ZLTS · pith_short_16: VOUMGRG7ZLTSEHGQ · pith_short_8: VOUMGRG7

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/VOUMGRG7ZLTSEHGQIAR4VXRZAS \
  | 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: aba8c344dfcae7221cd04023cade390492e41ed32509bd39114e152b35396077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe1f1bb4760880eed086c4f58bf1072beb50707f809ca985bf21b8704cb8d65",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-05T17:20:27Z",
    "title_canon_sha256": "056544804d00311195ebdadbdc23346820ab9bbe406f43d615859099d5e865f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1030",
    "kind": "arxiv",
    "version": 2
  }
}