Pith Number

pith:237Y3X7A

pith:2012:237Y3X7AUA766NJ3D4BHD73O7S

not attested not anchored not stored refs pending

Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type

Kefeng Liu, Yang Shen

arxiv:1205.4207 v7 · 2012-05-18 · 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{237Y3X7AUA766NJ3D4BHD73O7S}

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	2026-05-18T01:06:23.335604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ff8ddfe0a03fef353b1f0271ff6efca1c0d3f0d9edc36b3e6aaee28be70eee

Aliases

arxiv: 1205.4207 · arxiv_version: 1205.4207v7 · doi: 10.48550/arxiv.1205.4207 · pith_short_12: 237Y3X7AUA76 · pith_short_16: 237Y3X7AUA766NJ3 · pith_short_8: 237Y3X7A

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/237Y3X7AUA766NJ3D4BHD73O7S \
  | 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: d6ff8ddfe0a03fef353b1f0271ff6efca1c0d3f0d9edc36b3e6aaee28be70eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25be0ac425328cf6668de058f6724dc12af3d2b2532dcebe441d8fd239488329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-18T17:51:21Z",
    "title_canon_sha256": "8340cb34928ce469a4216effc7aa020dd8db9f1a722a51d375f2db41692a7311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4207",
    "kind": "arxiv",
    "version": 7
  }
}