Pith Number

pith:J7AJXG6T

pith:2005:J7AJXG6TWF3WT55QSQHDED6IVN

not attested not anchored not stored refs pending

SO_0(1,d+1) Racah coefficients: Type I representations

Jorma Louko, Kirill Krasnov

arxiv:math-ph/0502017 v2 · 2005-02-04 · math-ph · gr-qc · hep-th · 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{J7AJXG6TWF3WT55QSQHDED6IVN}

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.

Cited by

1 paper in Pith

Triangulating quantum gravity in AdS$_3$

Receipt and verification

First computed	2026-07-04T16:56:34.396889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc09b9bd3b17769f7b0940e320fc8ab5abe9e824abad95c96e3d68cc6ce9bcb

Aliases

arxiv: math-ph/0502017 · arxiv_version: math-ph/0502017v2 · doi: 10.48550/arxiv.math-ph/0502017 · pith_short_12: J7AJXG6TWF3W · pith_short_16: J7AJXG6TWF3WT55Q · pith_short_8: J7AJXG6T

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/J7AJXG6TWF3WT55QSQHDED6IVN \
  | 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: 4fc09b9bd3b17769f7b0940e320fc8ab5abe9e824abad95c96e3d68cc6ce9bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8337462c9b828aa188482bf1b3e4e9f7f33b345fc2d888496884df75339f96c9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-02-04T10:27:40Z",
    "title_canon_sha256": "d8f9b955accb16ae203bb4398e883123706a57b541a28010bcf0a2b65baa9865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0502017",
    "kind": "arxiv",
    "version": 2
  }
}