Pith Number

pith:EM56IJDZ

pith:2018:EM56IJDZB24BGMZHMHXBCLCH76

not attested not anchored not stored refs pending

Kodaira vanishing for singular varieties revisited

Donu Arapura, Lei Song

arxiv:1809.03785 v1 · 2018-09-11 · 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{EM56IJDZB24BGMZHMHXBCLCH76}

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	2026-05-18T00:05:59.843027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233be424790eb813332761ee112c47ff9d4436d487acb987383e07ff9b4f3300

Aliases

arxiv: 1809.03785 · arxiv_version: 1809.03785v1 · doi: 10.48550/arxiv.1809.03785 · pith_short_12: EM56IJDZB24B · pith_short_16: EM56IJDZB24BGMZH · pith_short_8: EM56IJDZ

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/EM56IJDZB24BGMZHMHXBCLCH76 \
  | 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: 233be424790eb813332761ee112c47ff9d4436d487acb987383e07ff9b4f3300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aee135d85d7fc9d4f9a8887ac3e36a150fb9f81cf88edf5a5d8c4e822e5d573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-11T10:45:32Z",
    "title_canon_sha256": "dc60f48d032e7c458066422a00c8a8eed5f3a2cd268aa2e09579c61ea960294a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03785",
    "kind": "arxiv",
    "version": 1
  }
}