Pith Number

pith:ZMDS7WG4

pith:1995:ZMDS7WG4GMF3SDLNRVPYXYZHOP

not attested not anchored not stored refs pending

Character Expansion Methods for Matrix Models of Dually Weighted Graphs

Matthias Staudacher, Thomas Wynter (Laboratoire de Physique Theorique de l'Ecole Normale Superieure), Vladimir A. Kazakov

arxiv:hep-th/9502132 v2 · 1995-02-22 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMDS7WG4GMF3SDLNRVPYXYZHOP}

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

Congestion bounds via Laplacian eigenvalues and their application to tensor networks with arbitrary geometry

Receipt and verification

First computed	2026-05-18T01:06:02.971534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb072fd8dc330bb90d6d8d5f8be32773c689184efd4535a30c8879f3ab509229

Aliases

arxiv: hep-th/9502132 · arxiv_version: hep-th/9502132v2 · doi: 10.48550/arxiv.hep-th/9502132 · pith_short_12: ZMDS7WG4GMF3 · pith_short_16: ZMDS7WG4GMF3SDLN · pith_short_8: ZMDS7WG4

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/ZMDS7WG4GMF3SDLNRVPYXYZHOP \
  | 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: cb072fd8dc330bb90d6d8d5f8be32773c689184efd4535a30c8879f3ab509229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3288f30a4827db28ba6b78fad2f374c7253c48ffb68d3685c3d0f7faa306a2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-02-22T17:17:52Z",
    "title_canon_sha256": "6add4061ef55815e477c00c4c0e08604215da20779e2ae694fffb1fd1658c395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9502132",
    "kind": "arxiv",
    "version": 2
  }
}