Pith Number

pith:EJJX65GZ

pith:2010:EJJX65GZ6LCCRFZF4N7PUKHZN4

not attested not anchored not stored refs pending

A homology plane of general type can have at most a cyclic quotient singularity

M. Koras, M. Miyanishi, P. Russell, R.V. Gurjar

arxiv:1012.4120 v1 · 2010-12-18 · 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{EJJX65GZ6LCCRFZF4N7PUKHZN4}

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	2026-05-18T04:32:55.418414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22537f74d9f2c4289725e37efa28f96f0095cabf21ad39b763b0a1d4352601e9

Aliases

arxiv: 1012.4120 · arxiv_version: 1012.4120v1 · doi: 10.48550/arxiv.1012.4120 · pith_short_12: EJJX65GZ6LCC · pith_short_16: EJJX65GZ6LCCRFZF · pith_short_8: EJJX65GZ

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/EJJX65GZ6LCCRFZF4N7PUKHZN4 \
  | 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: 22537f74d9f2c4289725e37efa28f96f0095cabf21ad39b763b0a1d4352601e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443be5cee6f23397f68ccd95db17329565d4dd27b6dc6b1457d40d1060473eb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-18T20:54:51Z",
    "title_canon_sha256": "66b4be61ff12831b0e22d5caea9222f41908fe2d04bb2936ed436c18b5450e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4120",
    "kind": "arxiv",
    "version": 1
  }
}