Pith Number

pith:FQMOZIBC

pith:2013:FQMOZIBCN7WH4HIVKS52TUWLOZ

not attested not anchored not stored refs pending

q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers

Ana F. Loureiro, Jiang Zeng

arxiv:1309.4968 v2 · 2013-09-19 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQMOZIBCN7WH4HIVKS52TUWLOZ}

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	2026-05-18T01:37:21.725351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c18eca0226fec7e1d1554bba9d2cb7675b3ac6ed5d4b4a4464fc1512f78c61c

Aliases

arxiv: 1309.4968 · arxiv_version: 1309.4968v2 · doi: 10.48550/arxiv.1309.4968 · pith_short_12: FQMOZIBCN7WH · pith_short_16: FQMOZIBCN7WH4HIV · pith_short_8: FQMOZIBC

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/FQMOZIBCN7WH4HIVKS52TUWLOZ \
  | 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: 2c18eca0226fec7e1d1554bba9d2cb7675b3ac6ed5d4b4a4464fc1512f78c61c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02d9098102565efe8d7d128df3c9ac2d3755d75f2c0322895f9f777f878d089",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-19T13:32:11Z",
    "title_canon_sha256": "2a9eedcb7208f20659875dcfe16cdb2a54909654eb5f4cb4aa53b7b219c2611a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4968",
    "kind": "arxiv",
    "version": 2
  }
}