Pith Number

pith:WZLCOQ3C

pith:2015:WZLCOQ3CQ42DK7UZZYM2VCZTFK

not attested not anchored not stored refs pending

Coefficients of McKay-Thompson series and distributions of the moonshine module

Hannah Larson

arxiv:1508.03742 v2 · 2015-08-15 · 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{WZLCOQ3CQ42DK7UZZYM2VCZTFK}

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	2026-05-18T01:23:29.061389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6562743628734357e99ce19aa8b332a97a4d4200273ca4b33b4dd2c78394282

Aliases

arxiv: 1508.03742 · arxiv_version: 1508.03742v2 · doi: 10.48550/arxiv.1508.03742 · pith_short_12: WZLCOQ3CQ42D · pith_short_16: WZLCOQ3CQ42DK7UZ · pith_short_8: WZLCOQ3C

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/WZLCOQ3CQ42DK7UZZYM2VCZTFK \
  | 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: b6562743628734357e99ce19aa8b332a97a4d4200273ca4b33b4dd2c78394282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af29fee920c5a7aee7e04d3c3176fb7b06f29dbb1a35d8106e779e8c12db548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-15T15:44:37Z",
    "title_canon_sha256": "4420ddd062644219ce9be4f6cecc0450d3e05a931d3db61a277be5d06fc2c3f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03742",
    "kind": "arxiv",
    "version": 2
  }
}