Pith Number

pith:3TKZPFS6

pith:2001:3TKZPFS666SRNXOMGLE2KH7HBE

not attested not anchored not stored refs pending

Spin Foam Diagrammatics and Topological Invariance

Alejandro Perez, Florian Girelli, Robert Oeckl

arxiv:gr-qc/0111022 v1 · 2001-11-07 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TKZPFS666SRNXOMGLE2KH7HBE}

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	2026-07-04T16:26:59.061088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd597965ef7a516ddcc32c9a51fe7090942252a4fde4926f708cc1d08924953

Aliases

arxiv: gr-qc/0111022 · arxiv_version: gr-qc/0111022v1 · doi: 10.48550/arxiv.gr-qc/0111022 · pith_short_12: 3TKZPFS666SR · pith_short_16: 3TKZPFS666SRNXOM · pith_short_8: 3TKZPFS6

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/3TKZPFS666SRNXOMGLE2KH7HBE \
  | 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: dcd597965ef7a516ddcc32c9a51fe7090942252a4fde4926f708cc1d08924953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0bd6f893d9ad631588c1cc40a7ae6c33a41fa8de55bf126fda62f361f7903c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-11-07T15:54:34Z",
    "title_canon_sha256": "38a67233a88d64f3ee709bee46f8cbdc48af72c10cd419fb328d22fdde515e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0111022",
    "kind": "arxiv",
    "version": 1
  }
}