Pith Number

pith:HD7QAOLX

pith:2019:HD7QAOLXOSB32QDP3JMPMNKTPC

not attested not anchored not stored refs pending

A global Torelli theorem for certain Calabi-Yau threefolds

Jinxing Xu, Mao Sheng

arxiv:1906.12037 v1 · 2019-06-28 · 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{HD7QAOLXOSB32QDP3JMPMNKTPC}

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	2026-05-17T23:41:59.473124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ff0039777483bd406fda58f63553788944a738032b215d32891cd62e0fa9da

Aliases

arxiv: 1906.12037 · arxiv_version: 1906.12037v1 · doi: 10.48550/arxiv.1906.12037 · pith_short_12: HD7QAOLXOSB3 · pith_short_16: HD7QAOLXOSB32QDP · pith_short_8: HD7QAOLX

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/HD7QAOLXOSB32QDP3JMPMNKTPC \
  | 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: 38ff0039777483bd406fda58f63553788944a738032b215d32891cd62e0fa9da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b12bcb962a331d562b2f4cd5688a44bb6207e695a815b25ae1f535a590918b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-28T04:27:57Z",
    "title_canon_sha256": "69639f1270eecb78d3d78a27fa79f9998278859fd1d7882569f8db505485d899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12037",
    "kind": "arxiv",
    "version": 1
  }
}