Pith Number

pith:ZA6RU32X

pith:2011:ZA6RU32XYSWVCEZHGDYYWQUDC2

not attested not anchored not stored refs pending

Generating series and asymptotics of classical spin networks

Francesco Costantino, Julien Marche

arxiv:1103.5644 v2 · 2011-03-29 · math.GT · math-ph · math.MP · 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{ZA6RU32XYSWVCEZHGDYYWQUDC2}

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	2026-05-18T04:23:12.799089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83d1a6f57c4ad51132730f18b428316bcb6638012914752a20eba073921610f

Aliases

arxiv: 1103.5644 · arxiv_version: 1103.5644v2 · doi: 10.48550/arxiv.1103.5644 · pith_short_12: ZA6RU32XYSWV · pith_short_16: ZA6RU32XYSWVCEZH · pith_short_8: ZA6RU32X

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/ZA6RU32XYSWVCEZHGDYYWQUDC2 \
  | 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: c83d1a6f57c4ad51132730f18b428316bcb6638012914752a20eba073921610f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f678e9d55a1ca8dece2ebcefbf0f6ee3e238c218e5856ecaae94d3d95e0de8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-29T14:05:18Z",
    "title_canon_sha256": "4d2b7e419f16a68cc80de8bf77c2d2d721b709a6b967c163f6efbb2194cbc1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5644",
    "kind": "arxiv",
    "version": 2
  }
}