Pith Number

pith:WZ2EP677

pith:2016:WZ2EP677SNSQQI5RKCYBP756JH

not attested not anchored not stored refs pending

Integral and Series Representations of $q$-Polynomials and Functions: Part I

Mourad E. H. Ismail, Ruiming Zhang

arxiv:1604.08441 v2 · 2016-04-27 · 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{WZ2EP677SNSQQI5RKCYBP756JH}

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	2026-05-18T01:15:22.271632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67447fbff93650823b150b017ffbe49d51314d6915d69ae2696014e71404963

Aliases

arxiv: 1604.08441 · arxiv_version: 1604.08441v2 · doi: 10.48550/arxiv.1604.08441 · pith_short_12: WZ2EP677SNSQ · pith_short_16: WZ2EP677SNSQQI5R · pith_short_8: WZ2EP677

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/WZ2EP677SNSQQI5RKCYBP756JH \
  | 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: b67447fbff93650823b150b017ffbe49d51314d6915d69ae2696014e71404963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8027f2204cce86ae6df4000b0498da0209e0b984405542b3397d80466755852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-27T11:02:18Z",
    "title_canon_sha256": "fbe2c8a56cc38038891578f3cc3fdfb0c311b9889995b7553b771d57743965b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08441",
    "kind": "arxiv",
    "version": 2
  }
}