Pith Number

pith:7ZMJIL46

pith:2014:7ZMJIL46PBSXF23EMKJO3QD6BN

not attested not anchored not stored refs pending

Asymptotic expansion of a partition function related to the sinh-model

A. Guionnet, G. Borot, K. K. Kozlowski

arxiv:1412.7721 v2 · 2014-12-24 · math-ph · math.MP · math.PR · 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{7ZMJIL46PBSXF23EMKJO3QD6BN}

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	2026-07-05T06:28:10.364599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe58942f9e786572eb646292edc07e0b4187476ccb4d3ada1c9d66b1acc8d6fb

Aliases

arxiv: 1412.7721 · arxiv_version: 1412.7721v2 · doi: 10.48550/arxiv.1412.7721 · pith_short_12: 7ZMJIL46PBSX · pith_short_16: 7ZMJIL46PBSXF23E · pith_short_8: 7ZMJIL46

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/7ZMJIL46PBSXF23EMKJO3QD6BN \
  | 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: fe58942f9e786572eb646292edc07e0b4187476ccb4d3ada1c9d66b1acc8d6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af13593e3d65268f55d24b4a218170d430d828152bea8e7aca0f54653ea9f72",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-24T17:46:10Z",
    "title_canon_sha256": "415f9d79ad2977c0b141e8b1a43d4e7e677334447a79db67643e8024d944fd5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7721",
    "kind": "arxiv",
    "version": 2
  }
}