Pith Number

pith:F7F7T2RW

pith:2015:F7F7T2RWJYRQBIOYK67LMJD6PQ

not attested not anchored not stored refs pending

Traces of Singular Moduli and Moonshine for the Thompson Group

Brandon C. Rayhaun, Jeffrey A. Harvey

arxiv:1504.08179 v1 · 2015-04-30 · math.RT · hep-th · 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{F7F7T2RWJYRQBIOYK67LMJD6PQ}

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	2026-05-18T00:10:04.578696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fcbf9ea364e2300a1d857beb6247e7c3f4656f34507b28911029776955df2c0

Aliases

arxiv: 1504.08179 · arxiv_version: 1504.08179v1 · doi: 10.48550/arxiv.1504.08179 · pith_short_12: F7F7T2RWJYRQ · pith_short_16: F7F7T2RWJYRQBIOY · pith_short_8: F7F7T2RW

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/F7F7T2RWJYRQBIOYK67LMJD6PQ \
  | 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: 2fcbf9ea364e2300a1d857beb6247e7c3f4656f34507b28911029776955df2c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a711552093f9cf452d934af1cda3859dee10a650a40c4fc8e1c1196a2008aca1",
    "cross_cats_sorted": [
      "hep-th",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-30T11:53:19Z",
    "title_canon_sha256": "fb45bd558aef6cf2729aaf0fa9af7dbbe025b204bc38fb08c5dbf09ce5d82b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08179",
    "kind": "arxiv",
    "version": 1
  }
}