Pith Number

pith:Z5NL45OA

pith:2010:Z5NL45OAE3TGDRUG7OQYTY5QML

not attested not anchored not stored refs pending

Recent progress in the geometry of Q-acyclic surfaces

Karol Palka

arxiv:1003.2395 v2 · 2010-03-11 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5NL45OAE3TGDRUG7OQYTY5QML}

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	2026-05-18T02:58:33.062432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5abe75c026e661c686fba189e3b062eed582da2d77e4e6ec792911319b6521

Aliases

arxiv: 1003.2395 · arxiv_version: 1003.2395v2 · doi: 10.48550/arxiv.1003.2395 · pith_short_12: Z5NL45OAE3TG · pith_short_16: Z5NL45OAE3TGDRUG · pith_short_8: Z5NL45OA

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/Z5NL45OAE3TGDRUG7OQYTY5QML \
  | 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: cf5abe75c026e661c686fba189e3b062eed582da2d77e4e6ec792911319b6521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6ab4909db4f745f4a2e2e52340d2092b252a8240f7b1a75945d5cfd3aabd56",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-11T19:28:04Z",
    "title_canon_sha256": "280b0be24f20da56cd0c9c9ffaf553b0c700145530e159cd13a301b0df72ae70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2395",
    "kind": "arxiv",
    "version": 2
  }
}