Pith Number

pith:BVIXOQY7

pith:1997:BVIXOQY7HC7IVFR2CXHLFWEKVI

not attested not anchored not stored refs pending

Spin Foam Models

John C. Baez

arxiv:gr-qc/9709052 v3 · 1997-09-21 · gr-qc · hep-th · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVIXOQY7HC7IVFR2CXHLFWEKVI}

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	2026-07-04T16:04:39.960729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d5177431f38be8a963a15ceb2d88aaa2fbfb21c964d0335437c8291ac7d3fdf

Aliases

arxiv: gr-qc/9709052 · arxiv_version: gr-qc/9709052v3 · doi: 10.48550/arxiv.gr-qc/9709052 · pith_short_12: BVIXOQY7HC7I · pith_short_16: BVIXOQY7HC7IVFR2 · pith_short_8: BVIXOQY7

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/BVIXOQY7HC7IVFR2CXHLFWEKVI \
  | 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: 0d5177431f38be8a963a15ceb2d88aaa2fbfb21c964d0335437c8291ac7d3fdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a93530c7465ff52012670369294f618548d4f85e3cf720d3fcf40d71f4d210",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-09-21T19:13:05Z",
    "title_canon_sha256": "e3b6362d890c61e07c3e3ffde03ccad13333d33b9e4d27b0f0c82903b9d27a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9709052",
    "kind": "arxiv",
    "version": 3
  }
}