Pith Number

pith:NBE7LXQA

pith:2010:NBE7LXQAN7Z32DIYLAGTTV2LPL

not attested not anchored not stored refs pending

Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling

Andrey Todorov, Kang Zuo, Kefeng Liu, Shing-Tung Yau

arxiv:1010.4141 v1 · 2010-10-20 · 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{NBE7LXQAN7Z32DIYLAGTTV2LPL}

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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	2026-05-18T04:38:59.759448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6849f5de006ff3bd0d18580d39d74b7ae032e708775dd7f150439306dfb04965

Aliases

arxiv: 1010.4141 · arxiv_version: 1010.4141v1 · doi: 10.48550/arxiv.1010.4141 · pith_short_12: NBE7LXQAN7Z3 · pith_short_16: NBE7LXQAN7Z32DIY · pith_short_8: NBE7LXQA

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/NBE7LXQAN7Z32DIYLAGTTV2LPL \
  | 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: 6849f5de006ff3bd0d18580d39d74b7ae032e708775dd7f150439306dfb04965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d357ae1953ca4145084e22f32260bd35c4680f4a63a11e235b7cd4016616c235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-20T09:36:04Z",
    "title_canon_sha256": "585edb9987ecef68bc4b3c00447bb017779b651c0fe23d310e3797fd5255ce0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4141",
    "kind": "arxiv",
    "version": 1
  }
}