Pith Number

pith:VEXYCCO3

pith:2017:VEXYCCO356D3MCRS2IOUI4B4GA

not attested not anchored not stored refs pending

Pariah moonshine

John F. R. Duncan, Ken Ono, Michael H. Mertens

arxiv:1709.08867 v1 · 2017-09-26 · 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{VEXYCCO356D3MCRS2IOUI4B4GA}

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	2026-05-18T00:34:21.686580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92f8109dbef87b60a32d21d44703c30173091d9a68d27ec6302fad8f8abaeac

Aliases

arxiv: 1709.08867 · arxiv_version: 1709.08867v1 · doi: 10.48550/arxiv.1709.08867 · pith_short_12: VEXYCCO356D3 · pith_short_16: VEXYCCO356D3MCRS · pith_short_8: VEXYCCO3

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/VEXYCCO356D3MCRS2IOUI4B4GA \
  | 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: a92f8109dbef87b60a32d21d44703c30173091d9a68d27ec6302fad8f8abaeac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e479bcedc41cd2bad58a2529e1f2daec87c32364cf13d1a20af665f0d57d49",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-26T07:36:01Z",
    "title_canon_sha256": "65d645f51fe01563743afec343b2ab8d7317cd3f8879c4a5a6194206451b1690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08867",
    "kind": "arxiv",
    "version": 1
  }
}