Pith Number

pith:SY7C47EG

pith:2011:SY7C47EG7X6IAP6I6K6MG4HX6J

not attested not anchored not stored refs pending

The Exceptional (X_{\ell}) (q)-Racah Polynomials

Ryu Sasaki, Satoru Odake

arxiv:1102.0812 v1 · 2011-02-03 · math-ph · hep-th · math.CA · 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{SY7C47EG7X6IAP6I6K6MG4HX6J}

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	2026-05-18T04:15:16.430789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963e2e7c86fdfc803fc8f2bcc370f7f254d26df649d7a4490b3aaad009c24edf

Aliases

arxiv: 1102.0812 · arxiv_version: 1102.0812v1 · doi: 10.48550/arxiv.1102.0812 · pith_short_12: SY7C47EG7X6I · pith_short_16: SY7C47EG7X6IAP6I · pith_short_8: SY7C47EG

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/SY7C47EG7X6IAP6I6K6MG4HX6J \
  | 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: 963e2e7c86fdfc803fc8f2bcc370f7f254d26df649d7a4490b3aaad009c24edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd89106fb44cbafc272bd91a5339e9ee8a06c9eb95e1c9231f758de4fe22c784",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-03T23:20:11Z",
    "title_canon_sha256": "a0a0840565d75d9e26d5da04eee7e2bd1840d93e9471f79499b401d044a0f311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0812",
    "kind": "arxiv",
    "version": 1
  }
}