Pith Number

pith:Z3PF7U6E

pith:2013:Z3PF7U6EFGF76SWUNJP7VQPHKE

not attested not anchored not stored refs pending

Cylinders in singular del Pezzo surfaces

Ivan Cheltsov, Jihun Park, Joonyeong Won

arxiv:1311.5257 v3 · 2013-11-20 · 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{Z3PF7U6EFGF76SWUNJP7VQPHKE}

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	2026-05-17T23:53:14.867012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cede5fd3c4298bff4ad46a5ffac1e75134144f7a14effe4d363d9808c5ed8474

Aliases

arxiv: 1311.5257 · arxiv_version: 1311.5257v3 · doi: 10.48550/arxiv.1311.5257 · pith_short_12: Z3PF7U6EFGF7 · pith_short_16: Z3PF7U6EFGF76SWU · pith_short_8: Z3PF7U6E

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/Z3PF7U6EFGF76SWUNJP7VQPHKE \
  | 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: cede5fd3c4298bff4ad46a5ffac1e75134144f7a14effe4d363d9808c5ed8474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44039665bb6d5a040251c987565882eccb31dd0266a6daff8d8d08b9d3fbfce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-20T22:55:45Z",
    "title_canon_sha256": "8d1643b8d2a8d443b01a115f80e278d319982911b135ce2ffffd6cf103af4723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5257",
    "kind": "arxiv",
    "version": 3
  }
}