Pith Number

pith:QLYX4HQ6

pith:1993:QLYX4HQ63FLCY6HXRGM54W5QOB

not attested not anchored not stored refs pending

The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis

Carlo Rovelli

arxiv:hep-th/9304164 v1 · 1993-05-01 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLYX4HQ63FLCY6HXRGM54W5QOB}

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

Quantum geometry from higher gauge theory

Receipt and verification

First computed	2026-07-04T15:56:13.067312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f17e1e1ed9562c78f78999de5bb07075ff55000050cbf317e11fb5f69bf398

Aliases

arxiv: hep-th/9304164 · arxiv_version: hep-th/9304164v1 · doi: 10.48550/arxiv.hep-th/9304164 · pith_short_12: QLYX4HQ63FLC · pith_short_16: QLYX4HQ63FLCY6HX · pith_short_8: QLYX4HQ6

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/QLYX4HQ63FLCY6HXRGM54W5QOB \
  | 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: 82f17e1e1ed9562c78f78999de5bb07075ff55000050cbf317e11fb5f69bf398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beaf052aada4518973e8412b6a4a11b9bd588d2361beacf4c13ccb99ff5bd55a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-05-01T03:11:00Z",
    "title_canon_sha256": "5c4e555f246b20e952cb02dc2b3bd69dada875c83f16b4e74fa435fca8251544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9304164",
    "kind": "arxiv",
    "version": 1
  }
}