Pith Number

pith:6V2OYKOJ

pith:2012:6V2OYKOJ4TXV3A4N5QD7ORZI4S

not attested not anchored not stored refs pending

Free automorphisms of positive entropy on smooth K\"ahler surfaces

Keiji Oguiso

arxiv:1202.2637 v3 · 2012-02-13 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6V2OYKOJ4TXV3A4N5QD7ORZI4S}

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	2026-05-18T03:52:14.788030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f574ec29c9e4ef5d838dec07f74728e48b388b4260dd596af2abb777210d090c

Aliases

arxiv: 1202.2637 · arxiv_version: 1202.2637v3 · doi: 10.48550/arxiv.1202.2637 · pith_short_12: 6V2OYKOJ4TXV · pith_short_16: 6V2OYKOJ4TXV3A4N · pith_short_8: 6V2OYKOJ

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/6V2OYKOJ4TXV3A4N5QD7ORZI4S \
  | 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: f574ec29c9e4ef5d838dec07f74728e48b388b4260dd596af2abb777210d090c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84057f7a4307206f742cd04f933f303c6496ff64a401c7d53b993ea1bd45f0c1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-13T06:33:36Z",
    "title_canon_sha256": "f95783fd6b4f5bfed7fe79a01b24dd1304aeee04171e44faba3b0d673a96078f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2637",
    "kind": "arxiv",
    "version": 3
  }
}