Pith Number

pith:54E5MAFR

pith:1999:54E5MAFRX6PPSALK2EOKWZUOFV

not attested not anchored not stored refs pending

An Introduction to Spin Foam Models of Quantum Gravity and BF Theory

John C. Baez

arxiv:gr-qc/9905087 v1 · 1999-05-21 · gr-qc · 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{54E5MAFRX6PPSALK2EOKWZUOFV}

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

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries

Receipt and verification

First computed	2026-05-18T02:27:08.761599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef09d600b1bf9ef9016ad11cab668e2d7190c5a1546895c33a70113d0f384718

Aliases

arxiv: gr-qc/9905087 · arxiv_version: gr-qc/9905087v1 · doi: 10.48550/arxiv.gr-qc/9905087 · pith_short_12: 54E5MAFRX6PP · pith_short_16: 54E5MAFRX6PPSALK · pith_short_8: 54E5MAFR

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/54E5MAFRX6PPSALK2EOKWZUOFV \
  | 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: ef09d600b1bf9ef9016ad11cab668e2d7190c5a1546895c33a70113d0f384718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30fc54dc7d419fcc70359a1323dc9b409e56047dddf8d4e2851421e1a4c68241",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-05-21T23:25:08Z",
    "title_canon_sha256": "2bcebe35f4c0537ff6ba1c173e178066426d9f726c0066b53b4da60bc830bd4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9905087",
    "kind": "arxiv",
    "version": 1
  }
}