Pith Number

pith:5JVKCC4G

pith:2013:5JVKCC4G5WUQD5VJQQVVEIQTHN

not attested not anchored not stored refs pending

On Kodaira type vanishing for Calabi-Yau threefolds in positive characteristic

Yukihide Takayama

arxiv:1308.4228 v3 · 2013-08-20 · 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{5JVKCC4G5WUQD5VJQQVVEIQTHN}

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	2026-05-18T00:50:52.680030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6aa10b86eda901f6a9842b5222133b7a731cb388f6dbb08336b6af4a42492b

Aliases

arxiv: 1308.4228 · arxiv_version: 1308.4228v3 · doi: 10.48550/arxiv.1308.4228 · pith_short_12: 5JVKCC4G5WUQ · pith_short_16: 5JVKCC4G5WUQD5VJ · pith_short_8: 5JVKCC4G

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/5JVKCC4G5WUQD5VJQQVVEIQTHN \
  | 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: ea6aa10b86eda901f6a9842b5222133b7a731cb388f6dbb08336b6af4a42492b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "940173dd2884e57d8ce08ef3b2dc1299b4abc91107bdf3ea9c9093d239060f3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-20T04:36:59Z",
    "title_canon_sha256": "9732b693e77fd5d3c249cd18679ad7b17b4f6c8149c650dd9ec7ef2ae27732ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4228",
    "kind": "arxiv",
    "version": 3
  }
}