Pith Number

pith:ZUSCN3DJ

pith:2020:ZUSCN3DJA6TMBMLBVR5WL5A2WE

not attested not anchored not stored refs pending

Towards Heim and Neuhauser's Unimodality Conjecture on the Nekrasov-Okounkov polynomials

Letong Hong, Shengtong Zhang

arxiv:2008.10069 v2 · 2020-08-23 · 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{ZUSCN3DJA6TMBMLBVR5WL5A2WE}

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	2026-07-05T02:29:10.113399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd2426ec6907a6c0b161ac7b65f41ab135a9e2aa44c390523282231faefb0275

Aliases

arxiv: 2008.10069 · arxiv_version: 2008.10069v2 · doi: 10.48550/arxiv.2008.10069 · pith_short_12: ZUSCN3DJA6TM · pith_short_16: ZUSCN3DJA6TMBMLB · pith_short_8: ZUSCN3DJ

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/ZUSCN3DJA6TMBMLBVR5WL5A2WE \
  | 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: cd2426ec6907a6c0b161ac7b65f41ab135a9e2aa44c390523282231faefb0275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e1382f50a7c0eafa17e8b0cef5a55d780c5a118874ea960232afad50e7a859",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-23T16:38:16Z",
    "title_canon_sha256": "423d4b77d42bd65ab091e9895f242569c7aca22fe979dcd4b07e683a49925e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.10069",
    "kind": "arxiv",
    "version": 2
  }
}