Pith Number

pith:K4BHBKHZ

pith:2011:K4BHBKHZHWE7745WQMFALDVKXF

not attested not anchored not stored refs pending

Thermodynamic limit of random partitions and dispersionless Toda hierarchy

Kanehisa Takasaki, Toshio Nakatsu

arxiv:1110.0657 v2 · 2011-10-04 · math-ph · hep-th · 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{K4BHBKHZHWE7745WQMFALDVKXF}

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	2026-05-18T03:22:17.557797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570270a8f93d89fff3b6830a058eaab96cd346b10cce9a132d908ce905e6c64a

Aliases

arxiv: 1110.0657 · arxiv_version: 1110.0657v2 · doi: 10.48550/arxiv.1110.0657 · pith_short_12: K4BHBKHZHWE7 · pith_short_16: K4BHBKHZHWE7745W · pith_short_8: K4BHBKHZ

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/K4BHBKHZHWE7745WQMFALDVKXF \
  | 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: 570270a8f93d89fff3b6830a058eaab96cd346b10cce9a132d908ce905e6c64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d305c9db266669f7e4421f9bd00be2318da36eee2b80d137d07caf7c2d7e22",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-04T12:28:16Z",
    "title_canon_sha256": "cbd28db723cf83bf9b2069a9480696712eaaa3496a271b855181b8f050ce3ce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0657",
    "kind": "arxiv",
    "version": 2
  }
}