Pith Number

pith:7EKENH5S

pith:2019:7EKENH5SKP6EEHVTWULTAOPSO5

not attested not anchored not stored refs pending

Log surfaces of Picard rank one from four lines in the plane

Valery Alexeev, Wenfei Liu

arxiv:1902.00102 v1 · 2019-01-31 · 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{7EKENH5SKP6EEHVTWULTAOPSO5}

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	2026-05-17T23:54:58.255103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f914469fb253fc421eb3b5173039f27774b4b846547667bf4c53b3e719a9d604

Aliases

arxiv: 1902.00102 · arxiv_version: 1902.00102v1 · doi: 10.48550/arxiv.1902.00102 · pith_short_12: 7EKENH5SKP6E · pith_short_16: 7EKENH5SKP6EEHVT · pith_short_8: 7EKENH5S

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/7EKENH5SKP6EEHVTWULTAOPSO5 \
  | 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: f914469fb253fc421eb3b5173039f27774b4b846547667bf4c53b3e719a9d604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0e5681e0faba3439c6cdde6446a38e8878ec88a9bc13e81b5ffb4ee3ed25c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-31T22:21:13Z",
    "title_canon_sha256": "8a982b00792d69798df92340405f129011d58facddb2bdc7ede0f81ea808179c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00102",
    "kind": "arxiv",
    "version": 1
  }
}