Pith Number

pith:D43DWC3G

pith:2012:D43DWC3GV73HDTZCXZ2QLC7745

not attested not anchored not stored refs pending

Kodaira type vanishing theorem for the Hirokado variety

Yukihide Takayama

arxiv:1204.1622 v1 · 2012-04-07 · 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{D43DWC3GV73HDTZCXZ2QLC7745}

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	2026-05-18T02:50:43.395814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f363b0b66aff671cf22be75058bffe7788304a2dc56399f4a43f10c6b1c0d35

Aliases

arxiv: 1204.1622 · arxiv_version: 1204.1622v1 · doi: 10.48550/arxiv.1204.1622 · pith_short_12: D43DWC3GV73H · pith_short_16: D43DWC3GV73HDTZC · pith_short_8: D43DWC3G

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/D43DWC3GV73HDTZCXZ2QLC7745 \
  | 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: 1f363b0b66aff671cf22be75058bffe7788304a2dc56399f4a43f10c6b1c0d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55115e12444569022a3afba23e764363793c7884b8b831c47493b62e5c09dabb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-07T12:06:16Z",
    "title_canon_sha256": "16d8654247e5088dd8a04e065f01904b273b36b571df29c1b3c0255bc5b8176b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1622",
    "kind": "arxiv",
    "version": 1
  }
}