Pith Number

pith:BJ2RQG7L

pith:2014:BJ2RQG7L5HNESVANJHXPPRZDGT

not attested not anchored not stored refs pending

$q$-Rotations and Krawtchouk polynomials

Alexei Zhedanov, Guo-Fu Yu, Luc Vinet, Sarah Post, Vincent X. Genest

arxiv:1408.5292 v2 · 2014-08-22 · math-ph · math.MP · 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{BJ2RQG7L5HNESVANJHXPPRZDGT}

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	2026-05-18T01:11:00.414415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a75181bebe9da49540d49eef7c72334efb90135d06a949b955ca8095e34e486

Aliases

arxiv: 1408.5292 · arxiv_version: 1408.5292v2 · doi: 10.48550/arxiv.1408.5292 · pith_short_12: BJ2RQG7L5HNE · pith_short_16: BJ2RQG7L5HNESVAN · pith_short_8: BJ2RQG7L

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/BJ2RQG7L5HNESVANJHXPPRZDGT \
  | 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: 0a75181bebe9da49540d49eef7c72334efb90135d06a949b955ca8095e34e486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfc670fe235084ef68acac6bb555f4c561e337ee7e3cf79657aadc6a068b3b1",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-22T13:49:07Z",
    "title_canon_sha256": "285dacad276b0a1e224f5835f8cbfec1bf80e2941b390c9bf3647a6a75e69dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5292",
    "kind": "arxiv",
    "version": 2
  }
}