Pith Number

pith:JN2ZAM44

pith:2001:JN2ZAM44CZVLQVYT5SHYNTXHSM

not attested not anchored not stored refs pending

Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module

Michael P. Tuite, Rossen I. Ivanov

arxiv:math/0106027 v2 · 2001-06-05 · math.QA · hep-th · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JN2ZAM44CZVLQVYT5SHYNTXHSM}

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	2026-05-18T01:38:29.936200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7590339c166ab85713ec8f86cee793099b55974f99554c3d22ed2ab52ead3c

Aliases

arxiv: math/0106027 · arxiv_version: math/0106027v2 · doi: 10.48550/arxiv.math/0106027 · pith_short_12: JN2ZAM44CZVL · pith_short_16: JN2ZAM44CZVLQVYT · pith_short_8: JN2ZAM44

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/JN2ZAM44CZVLQVYT5SHYNTXHSM \
  | 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: 4b7590339c166ab85713ec8f86cee793099b55974f99554c3d22ed2ab52ead3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c284963a56031d7ed3f47376c7e382f7a688652dfe34632aa2cdf7326e6947",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-06-05T11:29:23Z",
    "title_canon_sha256": "7e60b6a3c2134dbcd9a1aeb974449909e52c0cd30e3f35c03753379562627375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106027",
    "kind": "arxiv",
    "version": 2
  }
}