Pith Number

pith:JZ2HCNHN

pith:2009:JZ2HCNHNIGSVOQ2OPAI5THYT4M

not attested not anchored not stored refs pending

Hodge numbers of Fano threefolds via Landau--Ginzburg models

Victor Przyjalkowski

arxiv:0911.5428 v3 · 2009-11-28 · 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{JZ2HCNHNIGSVOQ2OPAI5THYT4M}

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	2026-05-18T03:42:34.197872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e747134ed41a557434e7811d99f13e33457edbe40da62884bbba4b4e4b3e514

Aliases

arxiv: 0911.5428 · arxiv_version: 0911.5428v3 · doi: 10.48550/arxiv.0911.5428 · pith_short_12: JZ2HCNHNIGSV · pith_short_16: JZ2HCNHNIGSVOQ2O · pith_short_8: JZ2HCNHN

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/JZ2HCNHNIGSVOQ2OPAI5THYT4M \
  | 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: 4e747134ed41a557434e7811d99f13e33457edbe40da62884bbba4b4e4b3e514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0e55a9865ff2d128cebe7c20e41b5e4359599ca72edabcf0b76459d5832ace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-28T21:31:24Z",
    "title_canon_sha256": "b7e2a0d7265b0443cfb06ac5dfe8919c04a2d5f493902a625fdb6661e4e728db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5428",
    "kind": "arxiv",
    "version": 3
  }
}