Pith Number

pith:AT6QK7KJ

pith:2010:AT6QK7KJXUGLYOWV3E3DLE2XMG

not attested not anchored not stored refs pending

Singular Q-homology planes of negative Kodaira dimension have smooth locus of non-general type

Karol Palka, Mariusz Koras

arxiv:1001.2256 v2 · 2010-01-13 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AT6QK7KJXUGLYOWV3E3DLE2XMG}

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	2026-05-18T02:58:33.121146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04fd057d49bd0cbc3ad5d936359357618e036dd3fdf3b2a98d7604676cb8036d

Aliases

arxiv: 1001.2256 · arxiv_version: 1001.2256v2 · doi: 10.48550/arxiv.1001.2256 · pith_short_12: AT6QK7KJXUGL · pith_short_16: AT6QK7KJXUGLYOWV · pith_short_8: AT6QK7KJ

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/AT6QK7KJXUGLYOWV3E3DLE2XMG \
  | 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: 04fd057d49bd0cbc3ad5d936359357618e036dd3fdf3b2a98d7604676cb8036d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f6d472e149c223916c5ec6334873976bd767b0086755bfe8e409471871628c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-13T18:38:13Z",
    "title_canon_sha256": "88931c86a0d53fe682fe05322d3fa560aba3b78f4a66f30bcf04b0ef2d918edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2256",
    "kind": "arxiv",
    "version": 2
  }
}