Pith Number

pith:JWY3U7QG

pith:2011:JWY3U7QGOP4K4ALV3BSD3J4VQD

not attested not anchored not stored refs pending

A type of the Lefschetz hyperplane section theorem on \Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities

Nam-Hoon Lee

arxiv:1107.5946 v1 · 2011-07-29 · 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{JWY3U7QGOP4K4ALV3BSD3J4VQD}

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	2026-05-18T04:16:40.165536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db1ba7e0673f8ae0175d8643da79580dcf3b03e1aff34178989d4339845fea3

Aliases

arxiv: 1107.5946 · arxiv_version: 1107.5946v1 · doi: 10.48550/arxiv.1107.5946 · pith_short_12: JWY3U7QGOP4K · pith_short_16: JWY3U7QGOP4K4ALV · pith_short_8: JWY3U7QG

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/JWY3U7QGOP4K4ALV3BSD3J4VQD \
  | 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: 4db1ba7e0673f8ae0175d8643da79580dcf3b03e1aff34178989d4339845fea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ee661934d589d957293ef8858f867deb95ea2730f5fb3380240334cd4eb11b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-29T12:18:39Z",
    "title_canon_sha256": "e626d81e87815cc1ac75aa7caa4e3a215ec37a3ec2b7aacfca595a54a9b7380a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5946",
    "kind": "arxiv",
    "version": 1
  }
}