Pith Number

pith:57BR7A3K

pith:2002:57BR7A3KM4F3M4WELFY4GLDGLT

not attested not anchored not stored refs pending

Asymptotics of 6j and 10j symbols

David Louapre (ENS-Lyon), Laurent Freidel (PI)

arxiv:hep-th/0209134 v4 · 2002-09-17 · hep-th · gr-qc · 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{57BR7A3KM4F3M4WELFY4GLDGLT}

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	2026-05-18T02:35:53.744128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc31f836a670bb672c45971c32c665cc3d9daeef571df3396c4ca4917df4673

Aliases

arxiv: hep-th/0209134 · arxiv_version: hep-th/0209134v4 · doi: 10.48550/arxiv.hep-th/0209134 · pith_short_12: 57BR7A3KM4F3 · pith_short_16: 57BR7A3KM4F3M4WE · pith_short_8: 57BR7A3K

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/57BR7A3KM4F3M4WELFY4GLDGLT \
  | 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: efc31f836a670bb672c45971c32c665cc3d9daeef571df3396c4ca4917df4673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5136600692e0cbff35804923c12e02673083faaddafe2f370e3bd984c590e5e1",
    "cross_cats_sorted": [
      "gr-qc",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-09-17T19:58:40Z",
    "title_canon_sha256": "031280b78d2e73cd87d0566c5813f585917c50637aca84778645fa9218734384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0209134",
    "kind": "arxiv",
    "version": 4
  }
}