Pith Number

pith:EJWK2URN

pith:2016:EJWK2URNQH2OYNECKU42265CU5

not attested not anchored not stored refs pending

A Lefschetz (1,1) theorem for singular varieties

Donu Arapura

arxiv:1605.00587 v1 · 2016-05-02 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJWK2URNQH2OYNECKU42265CU5}

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.

Cited by

1 paper in Pith

Extended operational Chow group and Lefschetz (1,1)-theorem

Receipt and verification

First computed	2026-05-18T01:15:53.831017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226cad522d81f4ec34825539ad7ba2a75b7f55db5ef8a3f7e2eaac04ab081f73

Aliases

arxiv: 1605.00587 · arxiv_version: 1605.00587v1 · doi: 10.48550/arxiv.1605.00587 · pith_short_12: EJWK2URNQH2O · pith_short_16: EJWK2URNQH2OYNEC · pith_short_8: EJWK2URN

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/EJWK2URNQH2OYNECKU42265CU5 \
  | 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: 226cad522d81f4ec34825539ad7ba2a75b7f55db5ef8a3f7e2eaac04ab081f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1585589b9ed1a3e402ddcf3bef8674707382712e3c35815dcb306800234c3c0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-02T18:02:13Z",
    "title_canon_sha256": "2842385e02daf9ba8e0c45d72f57c68f9877fb3be967b8b0e89fd2fbe16b8637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00587",
    "kind": "arxiv",
    "version": 1
  }
}