Pith Number

pith:ANWJ6A5F

pith:2001:ANWJ6A5FXTGPPJM4L2BCQRFEXE

not attested not anchored not stored refs pending

A Ponzano-Regge model of Lorentzian 3-Dimensional gravity

Laurent Freidel

arxiv:gr-qc/0102098 v1 · 2001-02-22 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANWJ6A5FXTGPPJM4L2BCQRFEXE}

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.

Receipt and verification

First computed	2026-07-04T16:26:52.586607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036c9f03a5bcccf7a59c5e822844a4b92e86e99244d4ed5133e96d851c1566c4

Aliases

arxiv: gr-qc/0102098 · arxiv_version: gr-qc/0102098v1 · doi: 10.48550/arxiv.gr-qc/0102098 · pith_short_12: ANWJ6A5FXTGP · pith_short_16: ANWJ6A5FXTGPPJM4 · pith_short_8: ANWJ6A5F

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/ANWJ6A5FXTGPPJM4L2BCQRFEXE \
  | 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: 036c9f03a5bcccf7a59c5e822844a4b92e86e99244d4ed5133e96d851c1566c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bcaa9972a270317fd829e65e2bf6be46a61c90ec1ec2af1ca78575d55761c57",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-22T15:54:46Z",
    "title_canon_sha256": "4295bc1116c14c507cb8c976a91ca190ce1933a9a60fbf8317a574b358b58420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102098",
    "kind": "arxiv",
    "version": 1
  }
}