Pith Number

pith:YTIMXFWX

pith:2016:YTIMXFWXT3RFRRNTEIA5ONCITY

not attested not anchored not stored refs pending

Canonical rings of Gorenstein stable Godeaux surfaces

Marco Franciosi, S\"onke Rollenske

arxiv:1611.06810 v1 · 2016-11-21 · 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{YTIMXFWXT3RFRRNTEIA5ONCITY}

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	2026-05-18T00:57:32.814885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4d0cb96d79ee258c5b32201d734489e0f8342564fab9e98b66b3daa91045efa

Aliases

arxiv: 1611.06810 · arxiv_version: 1611.06810v1 · doi: 10.48550/arxiv.1611.06810 · pith_short_12: YTIMXFWXT3RF · pith_short_16: YTIMXFWXT3RFRRNT · pith_short_8: YTIMXFWX

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/YTIMXFWXT3RFRRNTEIA5ONCITY \
  | 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: c4d0cb96d79ee258c5b32201d734489e0f8342564fab9e98b66b3daa91045efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301d6912361c0f9c3a35f759222108eaf417784a749f496a3ff4e74371eaa750",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-21T14:42:24Z",
    "title_canon_sha256": "462eb8e9fecbc12cc1b3ac51c3d20558bd4137fd2ec314ba2ec72a61e64a4dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06810",
    "kind": "arxiv",
    "version": 1
  }
}