Pith Number

pith:ZGRASK3Y

pith:2012:ZGRASK3Y7P5YSVSZMXOBND5IKR

not attested not anchored not stored refs pending

The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces

Amin Gholampour, Cristina Manolache, Hiroshi Iritani, Paul Johnson, Tom Coates, Yunfeng Jiang

arxiv:1202.2754 v1 · 2012-02-13 · 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{ZGRASK3Y7P5YSVSZMXOBND5IKR}

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	2026-05-18T02:32:39.291013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a2092b78fbfb89565965dc168fa8547843db0c92ee9fce2d62d70b4fbf7365

Aliases

arxiv: 1202.2754 · arxiv_version: 1202.2754v1 · doi: 10.48550/arxiv.1202.2754 · pith_short_12: ZGRASK3Y7P5Y · pith_short_16: ZGRASK3Y7P5YSVSZ · pith_short_8: ZGRASK3Y

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/ZGRASK3Y7P5YSVSZMXOBND5IKR \
  | 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: c9a2092b78fbfb89565965dc168fa8547843db0c92ee9fce2d62d70b4fbf7365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85dc86991b44ae80969dec1fbb851214a9bde1a8fe5fdb71048b772dfbae7784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-13T14:50:34Z",
    "title_canon_sha256": "62c09736791bb21d951816320c79edd11400ec86265ac06d53158669cd780732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2754",
    "kind": "arxiv",
    "version": 1
  }
}