Pith Number

pith:NZNDXW2J

pith:2025:NZNDXW2JLAPHNAICHIRO44IDDQ

not attested not anchored not stored refs pending

Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way

Alexei Zhedanov, Lucia Morey, Luc Vinet, Nicolas Cramp\'e, Quentin Labriet, Satoshi Tsujimoto

arxiv:2509.07949 v1 · 2025-09-09 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZNDXW2JLAPHNAICHIRO44IDDQ}

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	2026-07-05T12:07:42.863092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5a3bdb49581e7681023a22ee71031c301f19e9049379a09a19f85eeaab54fd

Aliases

arxiv: 2509.07949 · arxiv_version: 2509.07949v1 · doi: 10.48550/arxiv.2509.07949 · pith_short_12: NZNDXW2JLAPH · pith_short_16: NZNDXW2JLAPHNAIC · pith_short_8: NZNDXW2J

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/NZNDXW2JLAPHNAICHIRO44IDDQ \
  | 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: 6e5a3bdb49581e7681023a22ee71031c301f19e9049379a09a19f85eeaab54fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74eda3ece7f875995e284af5c972c2ddf41ad43e7031c14900f837ceee21a2a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-09T17:38:40Z",
    "title_canon_sha256": "a904a2d6b05a816d2b446836cac91278c5a0d1ec56120815f9d02e54dfac36a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07949",
    "kind": "arxiv",
    "version": 1
  }
}