Pith Number

pith:F7Z4K6SP

pith:2009:F7Z4K6SP5MYMA5QXXXUU7UGDXD

not attested not anchored not stored refs pending

Tau function and Hirota bilinear equations for the Extended bigraded Toda Hierarchy

Chuanzhong Li, Jingsong He, Ke Wu, Yi Cheng

arxiv:0906.0624 v3 · 2009-06-03 · math-ph · 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{F7Z4K6SP5MYMA5QXXXUU7UGDXD}

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	2026-05-18T02:34:45.953886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff3c57a4feb30c07617bde94fd0c3b8c164384a9e36a94a6e83554900608ad9

Aliases

arxiv: 0906.0624 · arxiv_version: 0906.0624v3 · doi: 10.48550/arxiv.0906.0624 · pith_short_12: F7Z4K6SP5MYM · pith_short_16: F7Z4K6SP5MYMA5QX · pith_short_8: F7Z4K6SP

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/F7Z4K6SP5MYMA5QXXXUU7UGDXD \
  | 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: 2ff3c57a4feb30c07617bde94fd0c3b8c164384a9e36a94a6e83554900608ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59abf6d4d9607c0d6852562a51339ba72aa9822b897bd72e300486f66d876072",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-03T00:57:44Z",
    "title_canon_sha256": "d525869de395281f315d3e1eba19bb318d55af9b4ebe4ec162bff31b49372cb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0624",
    "kind": "arxiv",
    "version": 3
  }
}