Pith Number

pith:X3MWEJXG

pith:2010:X3MWEJXGAXWOJVKTERMGNWREPB

not attested not anchored not stored refs pending

Solutions of bigraded Toda hierarchy

Chuanzhong Li

arxiv:1011.4684 v2 · 2010-11-21 · 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{X3MWEJXGAXWOJVKTERMGNWREPB}

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	2026-05-18T04:21:10.626545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed96226e605ece4d553245866da2478561cf8ea7abd7de79cff60ab5fc565a2

Aliases

arxiv: 1011.4684 · arxiv_version: 1011.4684v2 · doi: 10.48550/arxiv.1011.4684 · pith_short_12: X3MWEJXGAXWO · pith_short_16: X3MWEJXGAXWOJVKT · pith_short_8: X3MWEJXG

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/X3MWEJXGAXWOJVKTERMGNWREPB \
  | 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: bed96226e605ece4d553245866da2478561cf8ea7abd7de79cff60ab5fc565a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ad14276e7541871c64d2ceb1617618d8761ff76517f59020cfb4bfc634e8c9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-21T18:04:52Z",
    "title_canon_sha256": "b2657702c17e6ad66037db607ad536d644fbf1af5ff560704c988c7c66a1b01d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4684",
    "kind": "arxiv",
    "version": 2
  }
}