Pith Number

pith:3S3WWYXK

pith:2015:3S3WWYXKEUWCPRDQW4ANBJPI23

not attested not anchored not stored refs pending

Sums of Random Matrices and the Potts Model on Random Planar Maps

Benjamin Niedner, John F. Wheater, Max R. Atkin

arxiv:1511.03657 v2 · 2015-11-11 · math-ph · cond-mat.stat-mech · 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{3S3WWYXKEUWCPRDQW4ANBJPI23}

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

(Un)solvable Matrix Models for BPS Correlators

Receipt and verification

First computed	2026-05-18T01:17:18.398707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb76b62ea252c27c470b700d0a5e8d6c761c0ca6c06a761194dbd8c42f9442c

Aliases

arxiv: 1511.03657 · arxiv_version: 1511.03657v2 · doi: 10.48550/arxiv.1511.03657 · pith_short_12: 3S3WWYXKEUWC · pith_short_16: 3S3WWYXKEUWCPRDQ · pith_short_8: 3S3WWYXK

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/3S3WWYXKEUWCPRDQW4ANBJPI23 \
  | 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: dcb76b62ea252c27c470b700d0a5e8d6c761c0ca6c06a761194dbd8c42f9442c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179d185084c2665054ab5dbba9c9b1a522f85878cb46d65a8820220cc2592d1c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-11T20:58:12Z",
    "title_canon_sha256": "c1c9f4d36886e81c0b3eee7a1410468e0f33827a0ac75ba5f89a4a7c253896fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03657",
    "kind": "arxiv",
    "version": 2
  }
}