Pith Number

pith:O7LYLQPW

pith:2013:O7LYLQPWOCYJN5PZQIP6GCPPNM

not attested not anchored not stored refs pending

Applications of vertex algebra covering procedures to Chevalley groups and modular moonshine

Ching Hung Lam, Robert L. Griess Jr.

arxiv:1308.2270 v1 · 2013-08-10 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7LYLQPWOCYJN5PZQIP6GCPPNM}

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	2026-05-18T03:16:07.979504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d785c1f670b096f5f9821fe309ef6b2fe325cdd546fa576f28eb8930be73fa

Aliases

arxiv: 1308.2270 · arxiv_version: 1308.2270v1 · doi: 10.48550/arxiv.1308.2270 · pith_short_12: O7LYLQPWOCYJ · pith_short_16: O7LYLQPWOCYJN5PZ · pith_short_8: O7LYLQPW

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/O7LYLQPWOCYJN5PZQIP6GCPPNM \
  | 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: 77d785c1f670b096f5f9821fe309ef6b2fe325cdd546fa576f28eb8930be73fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf633d38ba7b894ba97b1bc1ce0c70232156e71c933c4c4ae4b3c1a2959b06e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-10T03:13:05Z",
    "title_canon_sha256": "c467253ee46481893db4de21b66415e7aebd946c92af50e9950e3f16d4828a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2270",
    "kind": "arxiv",
    "version": 1
  }
}