Pith Number

pith:LPKIAFQL

pith:2010:LPKIAFQLKSNZAZQYZD3GMBSTO6

not attested not anchored not stored refs pending

A $\Z_3$-orbifold theory of lattice vertex operator algebra and $\Z_3$-orbifold constructions

Masahiko Miyamoto

arxiv:1003.0237 v2 · 2010-03-01 · math.QA · 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{LPKIAFQLKSNZAZQYZD3GMBSTO6}

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	2026-05-18T02:34:52.961400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd480160b549b906618c8f6660653778714b1e93996d603b17aea2b377bb4c0

Aliases

arxiv: 1003.0237 · arxiv_version: 1003.0237v2 · doi: 10.48550/arxiv.1003.0237 · pith_short_12: LPKIAFQLKSNZ · pith_short_16: LPKIAFQLKSNZAZQY · pith_short_8: LPKIAFQL

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/LPKIAFQLKSNZAZQYZD3GMBSTO6 \
  | 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: 5bd480160b549b906618c8f6660653778714b1e93996d603b17aea2b377bb4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fac805476ab66d2b2615f000c2d0f5c1e9b7e5519e10eef0b411b2d210dc52c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-03-01T01:55:42Z",
    "title_canon_sha256": "dc30d1d7e4a3c987c8a69b9840d5085b5d79521d60b67c0894240d8a625d99c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0237",
    "kind": "arxiv",
    "version": 2
  }
}