Pith Number

pith:4IGMZKPO

pith:2026:4IGMZKPO5USL33GZE6GRUVS5CH

not attested not anchored not stored refs pending

Dominant Zeros of Nekrasov--Okounkov Polynomials

Bernhard Heim, Markus Neuhauser, with an appendix by Ken Ono

arxiv:2606.15394 v2 · 2026-06-13 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IGMZKPO5USL33GZE6GRUVS5CH}

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	2026-06-19T16:12:21.740787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20ccca9eeed24bdecd9278d1a565d11f0476ab307168fa574eb3922c2eb3016

Aliases

arxiv: 2606.15394 · arxiv_version: 2606.15394v2 · doi: 10.48550/arxiv.2606.15394 · pith_short_12: 4IGMZKPO5USL · pith_short_16: 4IGMZKPO5USL33GZ · pith_short_8: 4IGMZKPO

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/4IGMZKPO5USL33GZE6GRUVS5CH \
  | 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: e20ccca9eeed24bdecd9278d1a565d11f0476ab307168fa574eb3922c2eb3016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a342270481ce5bfddcd4acc1edd0a2b85d2efc5969c4c7b1df0d8c0b30aeece1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-13T16:56:59Z",
    "title_canon_sha256": "8587a0e37f3072a280fd7efd64702941f14b533276b3ddb90492a4528bb49615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15394",
    "kind": "arxiv",
    "version": 2
  }
}