pith. sign in
Pith Number

pith:NJ2WCVS3

pith:2012:NJ2WCVS3K7VJV53GDWD7OQLUVK
not attested not anchored not stored refs pending

Multi-indexed (q-)Racah Polynomials

Ryu Sasaki, Satoru Odake

arxiv:1203.5868 v2 · 2012-03-27 · math-ph · hep-th · math.CA · math.MP · nlin.SI · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NJ2WCVS3K7VJV53GDWD7OQLUVK}

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 2026-05-18T01:58:01.559942Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6a7561565b57ea9af7661d87f74174aa991dda51df9afb469a322bd71a97a391

Aliases

arxiv: 1203.5868 · arxiv_version: 1203.5868v2 · doi: 10.48550/arxiv.1203.5868 · pith_short_12: NJ2WCVS3K7VJ · pith_short_16: NJ2WCVS3K7VJV53G · pith_short_8: NJ2WCVS3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NJ2WCVS3K7VJV53GDWD7OQLUVK \
  | 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: 6a7561565b57ea9af7661d87f74174aa991dda51df9afb469a322bd71a97a391
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9744d2e0fa7700ec2e1944a29677ac93a7bf5900c2fef643e810068e032b3892",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-27T04:25:02Z",
    "title_canon_sha256": "538273b52d0ed1f685813284747ccb43431bdb922e74a6d00aba5afc1d5bf611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5868",
    "kind": "arxiv",
    "version": 2
  }
}