Pith Number

pith:PANIKK4P

pith:2013:PANIKK4PPDW2A5UHFB4HTOKQAK

not attested not anchored not stored refs pending

Cox rings of extremal rational elliptic surfaces

Alice Garbagnati, Antonio Laface, Michela Artebani

arxiv:1302.4361 v1 · 2013-02-18 · 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{PANIKK4PPDW2A5UHFB4HTOKQAK}

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	2026-05-18T03:33:14.757788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781a852b8f78eda07687287879b9500296c2206e0b6c72604a6d12b39e294e71

Aliases

arxiv: 1302.4361 · arxiv_version: 1302.4361v1 · doi: 10.48550/arxiv.1302.4361 · pith_short_12: PANIKK4PPDW2 · pith_short_16: PANIKK4PPDW2A5UH · pith_short_8: PANIKK4P

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/PANIKK4PPDW2A5UHFB4HTOKQAK \
  | 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: 781a852b8f78eda07687287879b9500296c2206e0b6c72604a6d12b39e294e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc9237c14c52d1c3a1b8b30cf2b707b2ce283061505d942ef436ec580ac05ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-18T17:24:01Z",
    "title_canon_sha256": "84d706c21a051b78a6d8d3a4717934cc9a2bccb6fabd9ab964e798815fa6344e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4361",
    "kind": "arxiv",
    "version": 1
  }
}