Pith Number

pith:VN3RLNYB

pith:2025:VN3RLNYBXX7WNXJZ3ZKDEEFBTD

not attested not anchored not stored refs pending

Computation of Singular Godeaux Surfaces and a New Explicit Fake Quadric (With an Appendix by Christian Gleissner and Noah Ruhland)

Carlos Rito, Christian Gleissner, Noah Ruhland

arxiv:2509.08198 v1 · 2025-09-10 · 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{VN3RLNYBXX7WNXJZ3ZKDEEFBTD}

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	2026-07-05T12:08:24.793297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7715b701bdff66dd39de543210a198dd926f7a7f8306009f574b0353746183

Aliases

arxiv: 2509.08198 · arxiv_version: 2509.08198v1 · doi: 10.48550/arxiv.2509.08198 · pith_short_12: VN3RLNYBXX7W · pith_short_16: VN3RLNYBXX7WNXJZ · pith_short_8: VN3RLNYB

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/VN3RLNYBXX7WNXJZ3ZKDEEFBTD \
  | 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: ab7715b701bdff66dd39de543210a198dd926f7a7f8306009f574b0353746183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576f9a6877a74a46a496a919ec424b043ba79ca0458c15ff9325d85c66a5bc79",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-10T00:04:21Z",
    "title_canon_sha256": "d1c8de0280bd2b96ca08b312a741b969bd7e2ef7c0738a3d59ccfe3945d872e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08198",
    "kind": "arxiv",
    "version": 1
  }
}