Pith Number

pith:EGR4VIKP

pith:2018:EGR4VIKPJBBUJHF4CPDDYHH6CL

not attested not anchored not stored refs pending

A Kawamata-Viehweg type formulation of the Logarithmic Akizuki-Nakano Vanishing Theorem

Deepam Patel, Donu Arapura, Jaros{\l}aw W{\l}odarczyk, Kenji Matsuki

arxiv:1806.01137 v2 · 2018-06-04 · 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{EGR4VIKPJBBUJHF4CPDDYHH6CL}

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	2026-05-18T00:06:39.570699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a3caa14f4843449cbc13c63c1cfe12f3bd852b1b6d69f6634055df04dcfc6b

Aliases

arxiv: 1806.01137 · arxiv_version: 1806.01137v2 · doi: 10.48550/arxiv.1806.01137 · pith_short_12: EGR4VIKPJBBU · pith_short_16: EGR4VIKPJBBUJHF4 · pith_short_8: EGR4VIKP

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/EGR4VIKPJBBUJHF4CPDDYHH6CL \
  | 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: 21a3caa14f4843449cbc13c63c1cfe12f3bd852b1b6d69f6634055df04dcfc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11997f7c0b0a54f53577b516648c395a7c8c9d71f6e4228302e100dc4a63c247",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-04T14:12:38Z",
    "title_canon_sha256": "a313e85cb1cda1abfe25fe6984753d2b13af1ccdec8549997d56b3dc51a724ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01137",
    "kind": "arxiv",
    "version": 2
  }
}