Pith Number

pith:DF7HS3ZP

pith:1999:DF7HS3ZP6VOW3WV5KYHQXV7FIG

not attested not anchored not stored refs pending

Simple Spin Networks as Feynman Graphs

Kirill Krasnov, Laurent Freidel

arxiv:hep-th/9903192 v3 · 1999-03-22 · hep-th · gr-qc · 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{DF7HS3ZP6VOW3WV5KYHQXV7FIG}

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	2026-07-04T16:14:47.578643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a

Aliases

arxiv: hep-th/9903192 · arxiv_version: hep-th/9903192v3 · doi: 10.48550/arxiv.hep-th/9903192 · pith_short_12: DF7HS3ZP6VOW · pith_short_16: DF7HS3ZP6VOW3WV5 · pith_short_8: DF7HS3ZP

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/DF7HS3ZP6VOW3WV5KYHQXV7FIG \
  | 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: 197e796f2ff55d6ddabd560f0bd7e5419cbb3f728f428796b5f1970cd129526a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f023c213c1b0b143312f88b923dc233c5dbffa328696e764a6fec1f9c9a517",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-22T20:05:33Z",
    "title_canon_sha256": "7a9e71b222793ff1930e80d0ce4b40d7d2cc1fb716541cea3832bfab94a37207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903192",
    "kind": "arxiv",
    "version": 3
  }
}