Pith Number

pith:CIIQ6XOV

pith:2015:CIIQ6XOVOIO7ME3NEAMKFD37A4

not attested not anchored not stored refs pending

Holes of the Leech lattice and the projective models of K3 surfaces

Ichiro Shimada

arxiv:1502.02099 v3 · 2015-02-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIIQ6XOVOIO7ME3NEAMKFD37A4}

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	2026-05-18T01:11:21.835303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12110f5dd5721df6136d2018a28f7f07007c09c068f8b7005147504f59fb0a29

Aliases

arxiv: 1502.02099 · arxiv_version: 1502.02099v3 · doi: 10.48550/arxiv.1502.02099 · pith_short_12: CIIQ6XOVOIO7 · pith_short_16: CIIQ6XOVOIO7ME3N · pith_short_8: CIIQ6XOV

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/CIIQ6XOVOIO7ME3NEAMKFD37A4 \
  | 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: 12110f5dd5721df6136d2018a28f7f07007c09c068f8b7005147504f59fb0a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b551b54a54796f19ac2ad0037212218ec34f4f9fd0f0356fde991875108856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-07T05:38:34Z",
    "title_canon_sha256": "54126cc05857a03ee23d956bf4c9f15ea426e75bacfe6bc69b78921c8a1337f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02099",
    "kind": "arxiv",
    "version": 3
  }
}