Pith Number

pith:2YTMNS75

pith:2010:2YTMNS75H4EGDOOUJUUL2GJ3ZK

not attested not anchored not stored refs pending

Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach

B. Eynard, L. O. Chekhov, O. Marchal

arxiv:1009.6007 v1 · 2010-09-29 · math-ph · hep-th · 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{2YTMNS75H4EGDOOUJUUL2GJ3ZK}

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	2026-05-18T04:24:52.902329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d626c6cbfd3f0861b9d44d28bd193bcaa1a4d4e59b179584cba66d8eb13da886

Aliases

arxiv: 1009.6007 · arxiv_version: 1009.6007v1 · doi: 10.48550/arxiv.1009.6007 · pith_short_12: 2YTMNS75H4EG · pith_short_16: 2YTMNS75H4EGDOOU · pith_short_8: 2YTMNS75

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/2YTMNS75H4EGDOOUJUUL2GJ3ZK \
  | 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: d626c6cbfd3f0861b9d44d28bd193bcaa1a4d4e59b179584cba66d8eb13da886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5580dbaf4421073af573557d68180c08330cfbe04a6f42f2ebdce840b3e528b7",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-29T21:20:49Z",
    "title_canon_sha256": "6c3096a2ea328850e300dafe64c96ffbaf0a7db2fb08df7189ff8081efc10eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6007",
    "kind": "arxiv",
    "version": 1
  }
}