Pith Number

pith:P2A3SFUU

pith:2009:P2A3SFUUAI7LX76HFZH5KNMUKH

not attested not anchored not stored refs pending

Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds

Duco van Straten, Kang Zuo, Pedro Luis del Angel, Stefan M\"uller-Stach

arxiv:0911.0277 v2 · 2009-11-02 · 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{P2A3SFUUAI7LX76HFZH5KNMUKH}

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	2026-05-18T02:39:30.704370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e81b91694023ebbffc72e4fd5359451d34b9de6794f9a9d313ecb2cbcb2b1cc

Aliases

arxiv: 0911.0277 · arxiv_version: 0911.0277v2 · doi: 10.48550/arxiv.0911.0277 · pith_short_12: P2A3SFUUAI7L · pith_short_16: P2A3SFUUAI7LX76H · pith_short_8: P2A3SFUU

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/P2A3SFUUAI7LX76HFZH5KNMUKH \
  | 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: 7e81b91694023ebbffc72e4fd5359451d34b9de6794f9a9d313ecb2cbcb2b1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd660f9de5a1967c74367851c694566c7c185904051ff493eef0aea804396a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-02T10:36:46Z",
    "title_canon_sha256": "813570f698a106b7b713f0c69b24d3d19e000f1b99cc13f9a91cd8e773feb9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0277",
    "kind": "arxiv",
    "version": 2
  }
}