Pith Number

pith:TRFBBY4F

pith:2014:TRFBBY4FRJMCG45PSND4ZOFBFC

not attested not anchored not stored refs pending

Two-variable $-1$ Jacobi polynomials

Alexei Zhedanov, Jean-Michel Lemay, Luc Vinet, Vincent X. Genest

arxiv:1411.7299 v1 · 2014-11-26 · math.CA · math-ph · 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{TRFBBY4FRJMCG45PSND4ZOFBFC}

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	2026-05-18T01:46:13.862004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4a10e3858a582373af9347ccb8a12890e8e7b9111ef733e5b52c449fc990b0

Aliases

arxiv: 1411.7299 · arxiv_version: 1411.7299v1 · doi: 10.48550/arxiv.1411.7299 · pith_short_12: TRFBBY4FRJMC · pith_short_16: TRFBBY4FRJMCG45P · pith_short_8: TRFBBY4F

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/TRFBBY4FRJMCG45PSND4ZOFBFC \
  | 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: 9c4a10e3858a582373af9347ccb8a12890e8e7b9111ef733e5b52c449fc990b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "227725d5432ba9e0cb78ffd843081cdfabeb84d99d690e0b47b3d908bb390bed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-26T17:04:30Z",
    "title_canon_sha256": "b5102e51557a33cbedc18fae84b48a077f2cb0dfde8ded1e08248b7c3adac00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7299",
    "kind": "arxiv",
    "version": 1
  }
}