Pith Number

pith:52XLPI65

pith:2013:52XLPI65KVJBIS6IVFBWBH5OLZ

not attested not anchored not stored refs pending

Unobstructedness of deformations of Calabi-Yau varieties with a line bundle

Shizhang Li, Xuanyu Pan

arxiv:1310.7162 v5 · 2013-10-27 · 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{52XLPI65KVJBIS6IVFBWBH5OLZ}

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	2026-05-17T23:55:10.152758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeaeb7a3dd5552144bc8a943609fae5e6e4bc4ee9c1fbf4067f58e1562e792cc

Aliases

arxiv: 1310.7162 · arxiv_version: 1310.7162v5 · doi: 10.48550/arxiv.1310.7162 · pith_short_12: 52XLPI65KVJB · pith_short_16: 52XLPI65KVJBIS6I · pith_short_8: 52XLPI65

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/52XLPI65KVJBIS6IVFBWBH5OLZ \
  | 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: eeaeb7a3dd5552144bc8a943609fae5e6e4bc4ee9c1fbf4067f58e1562e792cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618163bac44ccad95a5570208da2439e64f1d43562d7983778b549ddc916d8df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-27T05:20:49Z",
    "title_canon_sha256": "b5b9bbbc2b7e34aa305da0f65a2abd98dc41079dbdf5e65157aad66133b8c451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7162",
    "kind": "arxiv",
    "version": 5
  }
}