Pith Number

pith:GCIQX3T3

pith:2014:GCIQX3T3KNZXGYNOVWXODJKEJX

not attested not anchored not stored refs pending

Automorphisms of Niemeier lattices for Miyamoto's $\mathbb{Z}_3$-orbifold construction

Daisuke Sagaki, Hiroki Shimakura, Motohiro Ishii

arxiv:1402.0143 v2 · 2014-02-02 · 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{GCIQX3T3KNZXGYNOVWXODJKEJX}

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	2026-05-18T02:38:37.246328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30910bee7b53737361aeadaee1a5444dcf3231eba6ba9180c0b093cd603516d9

Aliases

arxiv: 1402.0143 · arxiv_version: 1402.0143v2 · doi: 10.48550/arxiv.1402.0143 · pith_short_12: GCIQX3T3KNZX · pith_short_16: GCIQX3T3KNZXGYNO · pith_short_8: GCIQX3T3

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/GCIQX3T3KNZXGYNOVWXODJKEJX \
  | 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: 30910bee7b53737361aeadaee1a5444dcf3231eba6ba9180c0b093cd603516d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aad18df78bcd4223d2f43e5290659f17fa5bf7095848321edf6ea2f175df383",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-02-02T02:07:45Z",
    "title_canon_sha256": "774ef8e31aac68a0569c6e8ae91f5a9a49522b59623dd8882e816a862ccd66e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0143",
    "kind": "arxiv",
    "version": 2
  }
}