Pith Number

pith:YMTX76ZP

pith:2016:YMTX76ZPW4GMXRFS2TFS7ZYRKM

not attested not anchored not stored refs pending

Algebraic Generating Functions for Gegenbauer Polynomials

Robert S. Maier

arxiv:1607.05215 v3 · 2016-07-18 · 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{YMTX76ZPW4GMXRFS2TFS7ZYRKM}

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	2026-05-18T00:24:36.135576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3277ffb2fb70ccbc4b2d4cb2fe7115315fce2bb239de248a81158c70e1c1298

Aliases

arxiv: 1607.05215 · arxiv_version: 1607.05215v3 · doi: 10.48550/arxiv.1607.05215 · pith_short_12: YMTX76ZPW4GM · pith_short_16: YMTX76ZPW4GMXRFS · pith_short_8: YMTX76ZP

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/YMTX76ZPW4GMXRFS2TFS7ZYRKM \
  | 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: c3277ffb2fb70ccbc4b2d4cb2fe7115315fce2bb239de248a81158c70e1c1298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52bfb6f71c75ec38eb1f5abf14b7c8c88eea855df71dfef8851912bd8e67199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-18T17:43:15Z",
    "title_canon_sha256": "78ca927801d15084a10800e01a0fd0faa0a019ebdbc44bd8a7caca9eacea06f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05215",
    "kind": "arxiv",
    "version": 3
  }
}