Pith Number

pith:NTWFNMIH

pith:2025:NTWFNMIHBB2VABKWJ2WTZED5V3

not attested not anchored not stored refs pending

Eigenvalue equations for sieved polynomials or proving Askey right again

Alexei Zhedanov, Luc Vinet

arxiv:2507.03862 v1 · 2025-07-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTWFNMIHBB2VABKWJ2WTZED5V3}

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	2026-07-05T11:32:36.086942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5

Aliases

arxiv: 2507.03862 · arxiv_version: 2507.03862v1 · doi: 10.48550/arxiv.2507.03862 · pith_short_12: NTWFNMIHBB2V · pith_short_16: NTWFNMIHBB2VABKW · pith_short_8: NTWFNMIH

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/NTWFNMIHBB2VABKWJ2WTZED5V3 \
  | 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: 6cec56b10708755005564ead3c907daee2a2df9993e8815be0aaa2cc075fb7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48507e3380246fdb5a18debfa0cb2a2a5d6bb52b638a48ac40c160d259a29775",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-05T02:24:24Z",
    "title_canon_sha256": "1f95758de95b0b8f4b10f275bdad14bfba7cf5cb372d332b53a6f8c5d1fe1811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03862",
    "kind": "arxiv",
    "version": 1
  }
}