Pith Number

pith:ZPA6DRUP

pith:2018:ZPA6DRUPXRYU5CEERK5AADESE2

not attested not anchored not stored refs pending

Log-plurigenera in stable families of surfaces

J\'anos Koll\'ar

arxiv:1803.08487 v1 · 2018-03-22 · 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{ZPA6DRUPXRYU5CEERK5AADESE2}

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	2026-05-18T00:20:22.722712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3

Aliases

arxiv: 1803.08487 · arxiv_version: 1803.08487v1 · doi: 10.48550/arxiv.1803.08487 · pith_short_12: ZPA6DRUPXRYU · pith_short_16: ZPA6DRUPXRYU5CEE · pith_short_8: ZPA6DRUP

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/ZPA6DRUPXRYU5CEERK5AADESE2 \
  | 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: cbc1e1c68fbc714e88848aba000c9226859d4151634aa3bfd38355da8a3b39e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6740d0a18c1e2a6ffd8bd3c11c3979c248c19de34509db39a739d3052dbffc61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-22T17:38:50Z",
    "title_canon_sha256": "b6e3d86e33eb9e035f69e22b7e82498ae388807f2f8878420b882fc96ce59713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08487",
    "kind": "arxiv",
    "version": 1
  }
}