Pith Number

pith:ZKQBDJAX

pith:2018:ZKQBDJAXKYZJF55G3GXWPPGAN6

not attested not anchored not stored refs pending

Higher Width Moonshine

Ken Ono, Madeline Locus Dawsey

arxiv:1807.07210 v3 · 2018-07-19 · math.RT · 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{ZKQBDJAXKYZJF55G3GXWPPGAN6}

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	2026-07-05T04:32:45.890251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa011a417563292f7a6d9af67bcc06f96a1602b4f13098f73fd38a56b78b97b

Aliases

arxiv: 1807.07210 · arxiv_version: 1807.07210v3 · doi: 10.48550/arxiv.1807.07210 · pith_short_12: ZKQBDJAXKYZJ · pith_short_16: ZKQBDJAXKYZJF55G · pith_short_8: ZKQBDJAX

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/ZKQBDJAXKYZJF55G3GXWPPGAN6 \
  | 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: caa011a417563292f7a6d9af67bcc06f96a1602b4f13098f73fd38a56b78b97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8c837b18de3030dc144fdae8b0e04e01b6863aa6f2226b2d636b2039d532d7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-19T01:29:55Z",
    "title_canon_sha256": "5abb6deb2854383fdcad7d18cfc6d52ba84a846db9a11cad5095b841ec05094c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07210",
    "kind": "arxiv",
    "version": 3
  }
}