Pith Number

pith:KJIAYMAU

pith:2016:KJIAYMAUCBBOJ4RWNTIPBOMYFY

not attested not anchored not stored refs pending

Integrals and Series Representations of $q$-Polynomials and Functions: Part II Schur Polynomials and the Rogers-Ramanujan Identities

Mourad E. H. Ismail, Ruiming Zhang

arxiv:1605.02728 v1 · 2016-05-09 · 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{KJIAYMAUCBBOJ4RWNTIPBOMYFY}

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	2026-05-18T01:15:13.262420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52500c30141042e4f2366cd0f0b9982e23a61c0e9860450b589d7fbe610ce677

Aliases

arxiv: 1605.02728 · arxiv_version: 1605.02728v1 · doi: 10.48550/arxiv.1605.02728 · pith_short_12: KJIAYMAUCBBO · pith_short_16: KJIAYMAUCBBOJ4RW · pith_short_8: KJIAYMAU

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/KJIAYMAUCBBOJ4RWNTIPBOMYFY \
  | 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: 52500c30141042e4f2366cd0f0b9982e23a61c0e9860450b589d7fbe610ce677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b154e8f264b826232f5afcef38f9906d9131ae211884dc9b3085ec7bc2508230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-09T14:53:24Z",
    "title_canon_sha256": "b0f81208b920813e26fb76637fc231cc64f55b5457f615204dd540ee9adec564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02728",
    "kind": "arxiv",
    "version": 1
  }
}