Pith Number

pith:2VYSZZXK

pith:2012:2VYSZZXKZU3HCHPFURL7ZTUOX2

not attested not anchored not stored refs pending

Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling

Jinxing Xu, Kang Zuo, Mao Sheng

arxiv:1211.3646 v1 · 2012-11-15 · 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{2VYSZZXKZU3HCHPFURL7ZTUOX2}

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	2026-05-18T03:40:39.197590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5712ce6eacd36711de5a457fcce8ebebc0a208a488ab26ff15ed7f02c89bdc4

Aliases

arxiv: 1211.3646 · arxiv_version: 1211.3646v1 · doi: 10.48550/arxiv.1211.3646 · pith_short_12: 2VYSZZXKZU3H · pith_short_16: 2VYSZZXKZU3HCHPF · pith_short_8: 2VYSZZXK

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/2VYSZZXKZU3HCHPFURL7ZTUOX2 \
  | 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: d5712ce6eacd36711de5a457fcce8ebebc0a208a488ab26ff15ed7f02c89bdc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9803f6c4d7e9603609d1ae8da7de6e5271691b031ad918ddc4f713ce1cdc40d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-15T16:32:30Z",
    "title_canon_sha256": "8c5c945df41be6cc178884a01d5909d1409776cf1719f560e83488ca8635969a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3646",
    "kind": "arxiv",
    "version": 1
  }
}