Pith Number

pith:Z5QUF5WQ

pith:2006:Z5QUF5WQR4OHZLCSPWARR2PJR4

not attested not anchored not stored refs pending

Free energy topological expansion for the 2-matrix model

Bertrand Eynard (SPhT), ITEP, Leonid Chekhov (LIFR-Mi2p, Nicolas Orantin (SPhT), Steklov Institute)

arxiv:math-ph/0603003 v2 · 2006-03-01 · 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{Z5QUF5WQR4OHZLCSPWARR2PJR4}

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.

Cited by

6 papers in Pith

All the D-Branes of Resurgence

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion

Multicritical Dynamical Triangulations and Topological Recursion

Universal formulae for correlators of a broad class of models

Receipt and verification

First computed	2026-05-18T04:17:54.516958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6142f6d08f1c7cac527d8118e9e98f0268e3f04261d9fb10025fe92980248b

Aliases

arxiv: math-ph/0603003 · arxiv_version: math-ph/0603003v2 · doi: 10.48550/arxiv.math-ph/0603003 · pith_short_12: Z5QUF5WQR4OH · pith_short_16: Z5QUF5WQR4OHZLCS · pith_short_8: Z5QUF5WQ

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/Z5QUF5WQR4OHZLCSPWARR2PJR4 \
  | 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: cf6142f6d08f1c7cac527d8118e9e98f0268e3f04261d9fb10025fe92980248b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3900ea2171fb2a0ea624067e07572b19d47283841e15eb9ad7c1279b62a8b49",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-01T09:45:24Z",
    "title_canon_sha256": "838c6866a64ac7f6f914f5b5b65edd36d23273684a31328cea97942c7f660448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603003",
    "kind": "arxiv",
    "version": 2
  }
}