Pith Number

pith:XB57XPWC

pith:2010:XB57XPWCNTBEYCMV4GLWUUDS7S

not attested not anchored not stored refs pending

Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra

Akihiro Munemasa, Ching Hung Lam, Masaaki Harada

arxiv:1005.1144 v2 · 2010-05-07 · 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{XB57XPWCNTBEYCMV4GLWUUDS7S}

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	2026-05-18T03:25:26.025940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87bfbbec26cc24c0995e1976a5072fc93d8aa226ded6a7c0dd013413abc5126

Aliases

arxiv: 1005.1144 · arxiv_version: 1005.1144v2 · doi: 10.48550/arxiv.1005.1144 · pith_short_12: XB57XPWCNTBE · pith_short_16: XB57XPWCNTBEYCMV · pith_short_8: XB57XPWC

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/XB57XPWCNTBEYCMV4GLWUUDS7S \
  | 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: b87bfbbec26cc24c0995e1976a5072fc93d8aa226ded6a7c0dd013413abc5126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5280bc06c482e2ca11d43583e9cf3fa1a01eb462572d4c553e8c60d14e5aba8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-05-07T07:42:08Z",
    "title_canon_sha256": "86cd444cb1c033cf64e1cd5c249a11d0fe21f68b775b162748fac77e348ee283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1144",
    "kind": "arxiv",
    "version": 2
  }
}