Pith Number

pith:SO65GV55

pith:2014:SO65GV55NR4K6XJPJMOFDXYUSQ

not attested not anchored not stored refs pending

Classical and Umbral Moonshine: Connections and $p$-adic Properties

Ken Ono, Larry Rolen, Sarah Trebat-Leder

arxiv:1403.3712 v6 · 2014-03-14 · math.NT · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO65GV55NR4K6XJPJMOFDXYUSQ}

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	2026-05-18T01:27:05.740501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93bdd357bd6c78af5d2f4b1c51df14941d2841c3cc912dd3eac3c304a4e3d9a0

Aliases

arxiv: 1403.3712 · arxiv_version: 1403.3712v6 · doi: 10.48550/arxiv.1403.3712 · pith_short_12: SO65GV55NR4K · pith_short_16: SO65GV55NR4K6XJP · pith_short_8: SO65GV55

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/SO65GV55NR4K6XJPJMOFDXYUSQ \
  | 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: 93bdd357bd6c78af5d2f4b1c51df14941d2841c3cc912dd3eac3c304a4e3d9a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba062bf953ea1f8ea2e4f51fc0eeb33a14bd1c754d79fbe0ffcbd0766ed9458",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-14T21:32:42Z",
    "title_canon_sha256": "7d8de5223caf7393e8bfbe52ae7bcd09cb099e872f93f69dc9cc8d0a3f7e2b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3712",
    "kind": "arxiv",
    "version": 6
  }
}