Pith Number

pith:OLOJITYF

pith:2015:OLOJITYFOZ3YJMFMRDCP2IQZV3

not attested not anchored not stored refs pending

Gorenstein stable surfaces with $K_X^2 = 1$ and $p_g>0$

Marco Franciosi, Rita Pardini, S\"onke Rollenske

arxiv:1511.03238 v1 · 2015-11-10 · 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{OLOJITYFOZ3YJMFMRDCP2IQZV3}

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	2026-05-18T01:27:16.702868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72dc944f05767784b0ac88c4fd2219aecdf292230f8ae1b3688876316dfc15fa

Aliases

arxiv: 1511.03238 · arxiv_version: 1511.03238v1 · doi: 10.48550/arxiv.1511.03238 · pith_short_12: OLOJITYFOZ3Y · pith_short_16: OLOJITYFOZ3YJMFM · pith_short_8: OLOJITYF

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/OLOJITYFOZ3YJMFMRDCP2IQZV3 \
  | 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: 72dc944f05767784b0ac88c4fd2219aecdf292230f8ae1b3688876316dfc15fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3ad63732e82562da28c25447804874724c296af33405fba2aead3f4650e6d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-10T19:52:40Z",
    "title_canon_sha256": "6dd6aeee859785230094ad935dc9c94a7155cfaeb9fc0532738cb90da8902851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03238",
    "kind": "arxiv",
    "version": 1
  }
}