Pith Number

pith:M46ZAE5I

pith:2013:M46ZAE5IZIHNMO2FCG3HK3NDAA

not attested not anchored not stored refs pending

Classical integrability for beta-ensembles and general Fokker-Planck equations

Igor Rumanov

arxiv:1306.2117 v3 · 2013-06-10 · math-ph · hep-th · 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{M46ZAE5IZIHNMO2FCG3HK3NDAA}

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	2026-05-18T01:12:31.061887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673d9013a8ca0ed63b4511b6756da3002e96b081142282a3e66577e367a6a479

Aliases

arxiv: 1306.2117 · arxiv_version: 1306.2117v3 · doi: 10.48550/arxiv.1306.2117 · pith_short_12: M46ZAE5IZIHN · pith_short_16: M46ZAE5IZIHNMO2F · pith_short_8: M46ZAE5I

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/M46ZAE5IZIHNMO2FCG3HK3NDAA \
  | 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: 673d9013a8ca0ed63b4511b6756da3002e96b081142282a3e66577e367a6a479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a86304744d7e159736e0a075982cb6e19a1fc1f219008a1b11e69f09dee1cbd2",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-10T07:28:29Z",
    "title_canon_sha256": "52a610b040286a76f05c2ba9a2fe72a0708211df66c1858aa54fce4da0d741ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2117",
    "kind": "arxiv",
    "version": 3
  }
}