Pith Number

pith:JUNIHROQ

pith:2008:JUNIHROQRNBWA2YJBQ2PP2WJQK

not attested not anchored not stored refs pending

The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications

Guo-Niu Han

arxiv:0805.1398 v1 · 2008-05-09 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUNIHROQRNBWA2YJBQ2PP2WJQK}

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.

Cited by

1 paper in Pith

On the Smallest Counterexample to the Log-Concavity of the D'Arcais Polynomials

Receipt and verification

First computed	2026-07-04T15:11:28.854326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1a83c5d08b43606b090c34f7eac982a32abf16fd7af2f0cc093bd31db5743e

Aliases

arxiv: 0805.1398 · arxiv_version: 0805.1398v1 · doi: 10.48550/arxiv.0805.1398 · pith_short_12: JUNIHROQRNBW · pith_short_16: JUNIHROQRNBWA2YJ · pith_short_8: JUNIHROQ

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/JUNIHROQRNBWA2YJBQ2PP2WJQK \
  | 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: 4d1a83c5d08b43606b090c34f7eac982a32abf16fd7af2f0cc093bd31db5743e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9c359f665081de6693bbff785b7a83293568af58c24c46ffcaec458e083847",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-05-09T18:50:38Z",
    "title_canon_sha256": "c6ca5702f70d1e990468b0dacb23d7e21acd385069696ecb216ccd1936308a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1398",
    "kind": "arxiv",
    "version": 1
  }
}