Pith Number

pith:2III2OO3

pith:2009:2III2OO3BXVTLC4BEUJFONT6TF

not attested not anchored not stored refs pending

Matrix models as conformal field theories: genus expansion

Ivan Kostov

arxiv:0912.2137 v2 · 2009-12-11 · hep-th · math-ph · 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{2III2OO3BXVTLC4BEUJFONT6TF}

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

1 paper in Pith

Cap amplitudes in random matrix models

Receipt and verification

First computed	2026-05-18T02:33:56.882042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2108d39db0deb358b81251257367e9956144d65e3746de87ea6591bb74576d3

Aliases

arxiv: 0912.2137 · arxiv_version: 0912.2137v2 · doi: 10.48550/arxiv.0912.2137 · pith_short_12: 2III2OO3BXVT · pith_short_16: 2III2OO3BXVTLC4B · pith_short_8: 2III2OO3

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/2III2OO3BXVTLC4BEUJFONT6TF \
  | 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: d2108d39db0deb358b81251257367e9956144d65e3746de87ea6591bb74576d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2de638478656be118dcf5f3a601f0167a2acc38e9ddfb80e3154b576f97034",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-11T10:28:35Z",
    "title_canon_sha256": "e800defc8915a90f598e79ea30d3e010c3f314d54b1a6b73aea013d9b2ae0a53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2137",
    "kind": "arxiv",
    "version": 2
  }
}