Pith Number

pith:DZ6SICSV

pith:2009:DZ6SICSVMK7DFDWURHX5QJ32OB

not attested not anchored not stored refs pending

Cox rings of surfaces and the anticanonical Iitaka dimension

Antonio Laface, Michela Artebani

arxiv:0909.1835 v3 · 2009-09-09 · 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{DZ6SICSVMK7DFDWURHX5QJ32OB}

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	2026-05-18T03:29:48.789267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7d240a5562be328ed489efd8277a707465d6939c0a2ca5a99df741a690bca6

Aliases

arxiv: 0909.1835 · arxiv_version: 0909.1835v3 · doi: 10.48550/arxiv.0909.1835 · pith_short_12: DZ6SICSVMK7D · pith_short_16: DZ6SICSVMK7DFDWU · pith_short_8: DZ6SICSV

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/DZ6SICSVMK7DFDWURHX5QJ32OB \
  | 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: 1e7d240a5562be328ed489efd8277a707465d6939c0a2ca5a99df741a690bca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d625ffadb488ad2216597656217427e2fcaacdf5cb3001b8113b26ceac467bef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-09T21:39:04Z",
    "title_canon_sha256": "34463502d402b21f6a44e7800d634c4cb2180011a8f517994aeaf9ee1cc50120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1835",
    "kind": "arxiv",
    "version": 3
  }
}