Pith Number

pith:4NEPK5VT

pith:2010:4NEPK5VT6W3VEUVHRSRBALM6K3

not attested not anchored not stored refs pending

Computing $\alpha$-invariants of singular del Pezzo surfaces

Dimitra Kosta, Ivan Cheltsov

arxiv:1010.0043 v3 · 2010-10-01 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NEPK5VT6W3VEUVHRSRBALM6K3}

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	2026-05-18T03:44:13.790483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e348f576b3f5b75252a78ca2102d9e56d9873095b3e8fa80c9e48b4158667a63

Aliases

arxiv: 1010.0043 · arxiv_version: 1010.0043v3 · doi: 10.48550/arxiv.1010.0043 · pith_short_12: 4NEPK5VT6W3V · pith_short_16: 4NEPK5VT6W3VEUVH · pith_short_8: 4NEPK5VT

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/4NEPK5VT6W3VEUVHRSRBALM6K3 \
  | 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: e348f576b3f5b75252a78ca2102d9e56d9873095b3e8fa80c9e48b4158667a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c498b604f6ff590d1463ef824931fa71a50400280affd7430b346a03df386a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-01T01:12:27Z",
    "title_canon_sha256": "be8e6807d641640aa3569b129cafc696f074d63f6f410ef9afe88620d9735c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0043",
    "kind": "arxiv",
    "version": 3
  }
}