Pith Number

pith:JKNO6Z6R

pith:2009:JKNO6Z6RBH33WXAPMVADLEQYBJ

not attested not anchored not stored refs pending

Rademacher sums, moonshine and gravity

Igor B. Frenkel, John F. R. Duncan

arxiv:0907.4529 v3 · 2009-07-26 · math.RT · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKNO6Z6RBH33WXAPMVADLEQYBJ}

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	2026-05-18T03:58:04.750755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9aef67d109f7bb5c0f65403592180a734ddca1718d1187341570f26a8332f6

Aliases

arxiv: 0907.4529 · arxiv_version: 0907.4529v3 · doi: 10.48550/arxiv.0907.4529 · pith_short_12: JKNO6Z6RBH33 · pith_short_16: JKNO6Z6RBH33WXAP · pith_short_8: JKNO6Z6R

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/JKNO6Z6RBH33WXAPMVADLEQYBJ \
  | 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: 4a9aef67d109f7bb5c0f65403592180a734ddca1718d1187341570f26a8332f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59535f2d7510ea3f8e7e6b2820a7052fe6110aaa2b4c5297da151454eddca685",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-07-26T23:37:39Z",
    "title_canon_sha256": "1315505a346473a7cf75f1f268dba90816d656d889567610cafe51c97d64a249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4529",
    "kind": "arxiv",
    "version": 3
  }
}