Pith Number

pith:KENJV7WT

pith:2011:KENJV7WTWDGVSXR6CO5PNB6AD2

not attested not anchored not stored refs pending

On Rademacher Sums, the Largest Mathieu Group, and the Holographic Modularity of Moonshine

John F.R. Duncan, Miranda C.N. Cheng

arxiv:1110.3859 v1 · 2011-10-18 · 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{KENJV7WTWDGVSXR6CO5PNB6AD2}

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.

Cited by

1 paper in Pith

M\"obius randomness in the Hartle-Hawking state

Receipt and verification

First computed	2026-05-18T04:10:47.790702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511a9afed3b0cd595e3e13baf687c01e815610037ef81ba645c8982953756f21

Aliases

arxiv: 1110.3859 · arxiv_version: 1110.3859v1 · doi: 10.48550/arxiv.1110.3859 · pith_short_12: KENJV7WTWDGV · pith_short_16: KENJV7WTWDGVSXR6 · pith_short_8: KENJV7WT

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/KENJV7WTWDGVSXR6CO5PNB6AD2 \
  | 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: 511a9afed3b0cd595e3e13baf687c01e815610037ef81ba645c8982953756f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7d592bef288fb1a9b5f5b8205283eb8504e2105ed9a8e2534baa14e85b4f94",
    "cross_cats_sorted": [
      "hep-th",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-18T01:34:47Z",
    "title_canon_sha256": "7b5b4c381f466a635e30128fc11c09a42a7c53d11d161d6cff662ab5b901d613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3859",
    "kind": "arxiv",
    "version": 1
  }
}