Pith Number

pith:4PPSKPLS

pith:2017:4PPSKPLSNZHPB223DCJVGCIXFN

not attested not anchored not stored refs pending

Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions

Satoru Urano, Scott Carnahan, Takahiro Komuro

arxiv:1712.10160 v3 · 2017-12-29 · math.RT · math.NT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PPSKPLSNZHPB223DCJVGCIXFN}

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	2026-05-18T00:02:18.277041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3df253d726e4ef0eb5b18935309172b70a27f93d859706151d0805c66631c81

Aliases

arxiv: 1712.10160 · arxiv_version: 1712.10160v3 · doi: 10.48550/arxiv.1712.10160 · pith_short_12: 4PPSKPLSNZHP · pith_short_16: 4PPSKPLSNZHPB223 · pith_short_8: 4PPSKPLS

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/4PPSKPLSNZHPB223DCJVGCIXFN \
  | 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: e3df253d726e4ef0eb5b18935309172b70a27f93d859706151d0805c66631c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904df1577c44856d630d270f62d162d5f1a9899a476f04590bbccc0994471024",
    "cross_cats_sorted": [
      "math.NT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-29T09:32:37Z",
    "title_canon_sha256": "21cafba6ed1f5f81ff9e243339f4138224ec20ed3e4d17f5393656933823b7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10160",
    "kind": "arxiv",
    "version": 3
  }
}