Pith Number

pith:BMWUVNVP

pith:2000:BMWUVNVPH27I4JLQGJEWKIMMAV

not attested not anchored not stored refs pending

Spin foams as Feynman diagrams

Carlo Rovelli, Michael Reisenberger

arxiv:gr-qc/0002083 v1 · 2000-02-24 · gr-qc · 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{BMWUVNVPH27I4JLQGJEWKIMMAV}

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

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

Receipt and verification

First computed	2026-07-04T14:25:16.013767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b2d4ab6af3ebe8e2570324965218c05413717c40701b0a74f1120522427d2d2

Aliases

arxiv: gr-qc/0002083 · arxiv_version: gr-qc/0002083v1 · doi: 10.48550/arxiv.gr-qc/0002083 · pith_short_12: BMWUVNVPH27I · pith_short_16: BMWUVNVPH27I4JLQ · pith_short_8: BMWUVNVP

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/BMWUVNVPH27I4JLQGJEWKIMMAV \
  | 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: 0b2d4ab6af3ebe8e2570324965218c05413717c40701b0a74f1120522427d2d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4778297dc3351c4998877c4618ce90f5eaf5a0600788025e8c40d9a3e4d7e49",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-02-24T11:40:25Z",
    "title_canon_sha256": "5251f91fa9ea1e4c4af78c59fca2f64d01cf1c7e6fe412e2fe7bc779539db85f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0002083",
    "kind": "arxiv",
    "version": 1
  }
}