Pith Number

pith:2IT2BYQS

pith:1993:2IT2BYQSJKPZGAMRNWN32N5CXJ

not attested not anchored not stored refs pending

Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time

H. Kawai, N. Kawamoto, T. Mogami, Y. Watabiki

arxiv:hep-th/9302133 v1 · 1993-02-26 · hep-th · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IT2BYQSJKPZGAMRNWN32N5CXJ}

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

Dynamical Triangulations for 2D Pure Gravity and Topological Recursion

Receipt and verification

First computed	2026-07-04T15:55:56.213186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d227a0e2124a9f9301916d9bbd37a2ba78ec17088b22fdd9da2e56f559523e9c

Aliases

arxiv: hep-th/9302133 · arxiv_version: hep-th/9302133v1 · doi: 10.48550/arxiv.hep-th/9302133 · pith_short_12: 2IT2BYQSJKPZ · pith_short_16: 2IT2BYQSJKPZGAMR · pith_short_8: 2IT2BYQS

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/2IT2BYQSJKPZGAMRNWN32N5CXJ \
  | 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: d227a0e2124a9f9301916d9bbd37a2ba78ec17088b22fdd9da2e56f559523e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043e854d517e1fadf0d9436257203df3d12e3247ce01bd40d90e085266959e29",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-02-26T09:25:05Z",
    "title_canon_sha256": "ca2ce2f1e6597fb1a7f3351ab58a70fe5c7eb9fc7f5169a4f04f18f5d5f2bf44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9302133",
    "kind": "arxiv",
    "version": 1
  }
}