Pith Number

pith:5ZHYBIRR

pith:2015:5ZHYBIRRTHR6OGXRSEC4UKX72Q

not attested not anchored not stored refs pending

A Nekrasov-Okounkov Type formula for $\widetilde{C}$

Mathias P\'etr\'eolle

arxiv:1505.01295 v2 · 2015-05-06 · 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{5ZHYBIRRTHR6OGXRSEC4UKX72Q}

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	2026-05-18T01:33:00.727262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4f80a23199e3e71af19105ca2affd411ffa388e40dc19ebb7c650f7edb3582

Aliases

arxiv: 1505.01295 · arxiv_version: 1505.01295v2 · doi: 10.48550/arxiv.1505.01295 · pith_short_12: 5ZHYBIRRTHR6 · pith_short_16: 5ZHYBIRRTHR6OGXR · pith_short_8: 5ZHYBIRR

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/5ZHYBIRRTHR6OGXRSEC4UKX72Q \
  | 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: ee4f80a23199e3e71af19105ca2affd411ffa388e40dc19ebb7c650f7edb3582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64810e7ae2e5bf09515fced787fa32b90cad481735f170c6b3855aa3321fb666",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-06T09:42:35Z",
    "title_canon_sha256": "583e9fad4a4963b56ac1c167928e794b581b6022699deac6abd45a2a7dae1aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01295",
    "kind": "arxiv",
    "version": 2
  }
}