Pith Number

pith:D5OVPPQK

pith:2009:D5OVPPQK3BWR5T24JCEKGJ4ZIK

not attested not anchored not stored refs pending

On complete degenerations of surfaces with ordinary singularities in $\mathbb P^3$

Vik.S. Kulikov, V.S. Kulikov

arxiv:0902.4132 v1 · 2009-02-24 · 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{D5OVPPQK3BWR5T24JCEKGJ4ZIK}

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	2026-05-18T02:14:39.413472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5d57be0ad86d1ecf5c4888a3279942a6e2260cd662f1b261f1fef53ac280ac

Aliases

arxiv: 0902.4132 · arxiv_version: 0902.4132v1 · doi: 10.48550/arxiv.0902.4132 · pith_short_12: D5OVPPQK3BWR · pith_short_16: D5OVPPQK3BWR5T24 · pith_short_8: D5OVPPQK

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/D5OVPPQK3BWR5T24JCEKGJ4ZIK \
  | 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: 1f5d57be0ad86d1ecf5c4888a3279942a6e2260cd662f1b261f1fef53ac280ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81498e20713293b987072978a721516073f36777fec98eec12f93e67e8ed1e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-24T12:16:08Z",
    "title_canon_sha256": "064b1ebbba738ddafe4a7024630dfd9e60893270c84c9f15940a6656bc48454d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4132",
    "kind": "arxiv",
    "version": 1
  }
}