Pith Number

pith:ZSOFCMAX

pith:2013:ZSOFCMAXDIROZI3YENGXVZJMG5

not attested not anchored not stored refs pending

On Schoen surfaces

Ciro Ciliberto, Margarida Mendes Lopes, Xavier Roulleau

arxiv:1303.1750 v1 · 2013-03-07 · 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{ZSOFCMAXDIROZI3YENGXVZJMG5}

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	2026-05-18T03:31:33.206271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc9c5130171a22eca378234d7ae52c376f8af06186d3ff39a2c98d6e0e7a2c44

Aliases

arxiv: 1303.1750 · arxiv_version: 1303.1750v1 · doi: 10.48550/arxiv.1303.1750 · pith_short_12: ZSOFCMAXDIRO · pith_short_16: ZSOFCMAXDIROZI3Y · pith_short_8: ZSOFCMAX

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/ZSOFCMAXDIROZI3YENGXVZJMG5 \
  | 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: cc9c5130171a22eca378234d7ae52c376f8af06186d3ff39a2c98d6e0e7a2c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79148b40af161b446847aacb3ffe3d964923a9a1c635d6ddd0061c09ed0e7042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-07T16:59:16Z",
    "title_canon_sha256": "3d4cea4661e8631ea5a048bd11d84f2326cf1622f89a29cf6a974fe78ae4ba9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1750",
    "kind": "arxiv",
    "version": 1
  }
}