Pith Number

pith:T4LWATDY

pith:2012:T4LWATDYXTUAWORQULTL3HG6CK

not attested not anchored not stored refs pending

On $k$-gonal loci in Severi varieties on general $K3$ surfaces and rational curves on hyperk\"ahler manifolds

Andreas Leopold Knutsen, Ciro Ciliberto

arxiv:1204.4838 v4 · 2012-04-21 · 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{T4LWATDYXTUAWORQULTL3HG6CK}

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	2026-05-18T03:27:10.308286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f17604c78bce80b3a30a2e6bd9cde12851f1397a517cb66a7476ce99b020008

Aliases

arxiv: 1204.4838 · arxiv_version: 1204.4838v4 · doi: 10.48550/arxiv.1204.4838 · pith_short_12: T4LWATDYXTUA · pith_short_16: T4LWATDYXTUAWORQ · pith_short_8: T4LWATDY

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/T4LWATDYXTUAWORQULTL3HG6CK \
  | 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: 9f17604c78bce80b3a30a2e6bd9cde12851f1397a517cb66a7476ce99b020008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000c53b97669cfdc8fe8882efabad5d64c15d277f72a03d774b38b64338d00f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-21T20:36:16Z",
    "title_canon_sha256": "3dc289f8b81b526624a5909c9b224193744f6deaa592cc19d1a3cc1e55b748ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4838",
    "kind": "arxiv",
    "version": 4
  }
}