Pith Number

pith:XGSP5XCC

pith:2009:XGSP5XCCCY4GCLN7WEBEHUX4MB

not attested not anchored not stored refs pending

Polynomial 6j-Symbols and States Sums

Bertrand Patureau-Mirand, Nathan Geer

arxiv:0911.1353 v3 · 2009-11-06 · math.GT · 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{XGSP5XCCCY4GCLN7WEBEHUX4MB}

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	2026-05-18T02:41:51.061095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a4fedc421638612dbfb10243d2fc605b14601ecebd5ed43f6756d2561010ab

Aliases

arxiv: 0911.1353 · arxiv_version: 0911.1353v3 · doi: 10.48550/arxiv.0911.1353 · pith_short_12: XGSP5XCCCY4G · pith_short_16: XGSP5XCCCY4GCLN7 · pith_short_8: XGSP5XCC

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/XGSP5XCCCY4GCLN7WEBEHUX4MB \
  | 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: b9a4fedc421638612dbfb10243d2fc605b14601ecebd5ed43f6756d2561010ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fc63d9177ac470efe1f6f6160374dfe1e62f429170856f0083d8092bce8525",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-06T20:53:50Z",
    "title_canon_sha256": "02bf8caf530f0045f6c0d24d0d82e2e1e219f1c7496c8e83d4c85e0ee2191dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1353",
    "kind": "arxiv",
    "version": 3
  }
}