Pith Number

pith:IML5OCJ4

pith:2012:IML5OCJ4PY5DUYVTXIEBS2ZA4R

not attested not anchored not stored refs pending

Hard edge for beta-ensembles and Painlev\'e III

Igor Rumanov

arxiv:1212.5333 v1 · 2012-12-21 · 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{IML5OCJ4PY5DUYVTXIEBS2ZA4R}

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	2026-05-18T03:38:02.192588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4317d7093c7e3a3a62b3ba08196b20e456d16534a823e036acfc7f671f767f72

Aliases

arxiv: 1212.5333 · arxiv_version: 1212.5333v1 · doi: 10.48550/arxiv.1212.5333 · pith_short_12: IML5OCJ4PY5D · pith_short_16: IML5OCJ4PY5DUYVT · pith_short_8: IML5OCJ4

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/IML5OCJ4PY5DUYVTXIEBS2ZA4R \
  | 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: 4317d7093c7e3a3a62b3ba08196b20e456d16534a823e036acfc7f671f767f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae437df66d8202dd8239d69eb7f38d460e46bb67bb1c8affc94723e1e76e9c7d",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-21T04:28:47Z",
    "title_canon_sha256": "61687ce409d076750c360b7bdb53ac94fc716f37e8b8b92ee693cb06765a687e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5333",
    "kind": "arxiv",
    "version": 1
  }
}