Pith Number

pith:2WLDAALP

pith:2018:2WLDAALPPZD6QP4V4X7UJ6CIWV

not attested not anchored not stored refs pending

On Witten's extremal partition functions

Ken Ono, Larry Rolen

arxiv:1807.00444 v3 · 2018-07-02 · 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{2WLDAALPPZD6QP4V4X7UJ6CIWV}

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	2026-05-17T23:48:22.578790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59630016f7e47e83f95e5ff44f848b54663b707d594fac347cddf669fcfa0ee

Aliases

arxiv: 1807.00444 · arxiv_version: 1807.00444v3 · doi: 10.48550/arxiv.1807.00444 · pith_short_12: 2WLDAALPPZD6 · pith_short_16: 2WLDAALPPZD6QP4V · pith_short_8: 2WLDAALP

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/2WLDAALPPZD6QP4V4X7UJ6CIWV \
  | 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: d59630016f7e47e83f95e5ff44f848b54663b707d594fac347cddf669fcfa0ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868f324b79f05b567eb8e649e8831388513e1c6d3129fb50aea85026f0d5eeba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-02T02:56:48Z",
    "title_canon_sha256": "1aec993c38ac8f388c3df29ffea99b6fd1453646813c503e2d55669c5aa8ef2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00444",
    "kind": "arxiv",
    "version": 3
  }
}