Pith Number

pith:2UP6IBDH

pith:2009:2UP6IBDHYK7NQ6BBWUYI2CDO22

not attested not anchored not stored refs pending

Closed form expressions for Hodge numbers of complete intersection Calabi-Yau threefolds in toric varieties

Andrey Y. Novoseltsev, Charles F. Doran

arxiv:0907.2701 v2 · 2009-07-15 · math.CO · 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{2UP6IBDHYK7NQ6BBWUYI2CDO22}

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	2026-05-18T04:38:59.353265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51fe40467c2bed87821b5308d086ed6a4e7ef770984460f2d26f61114726b1e

Aliases

arxiv: 0907.2701 · arxiv_version: 0907.2701v2 · doi: 10.48550/arxiv.0907.2701 · pith_short_12: 2UP6IBDHYK7N · pith_short_16: 2UP6IBDHYK7NQ6BB · pith_short_8: 2UP6IBDH

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/2UP6IBDHYK7NQ6BBWUYI2CDO22 \
  | 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: d51fe40467c2bed87821b5308d086ed6a4e7ef770984460f2d26f61114726b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a513b4f9c971b6f8df19620e476038585e1d6a797d266d3a8cbd3528e66365",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-15T21:10:57Z",
    "title_canon_sha256": "385b9d2e6eda5207b3da7aedd3375080d1aa243320e2275e6e751cb50b960cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2701",
    "kind": "arxiv",
    "version": 2
  }
}