Pith Number

pith:XR54GEW4

pith:2012:XR54GEW4SD4NSKX2ZTM2YZ3D77

not attested not anchored not stored refs pending

Automorphisms of surfaces of general type with q>=2 acting trivially in cohomology

Jin-Xing Cai, Lei Zhang, Wenfei Liu

arxiv:1209.6447 v2 · 2012-09-28 · 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{XR54GEW4SD4NSKX2ZTM2YZ3D77}

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	2026-05-18T03:44:14.968392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7bc312dc90f8d92afaccd9ac6763fff7eadfd7bf6e887cbf3c18486e726046

Aliases

arxiv: 1209.6447 · arxiv_version: 1209.6447v2 · doi: 10.48550/arxiv.1209.6447 · pith_short_12: XR54GEW4SD4N · pith_short_16: XR54GEW4SD4NSKX2 · pith_short_8: XR54GEW4

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/XR54GEW4SD4NSKX2ZTM2YZ3D77 \
  | 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: bc7bc312dc90f8d92afaccd9ac6763fff7eadfd7bf6e887cbf3c18486e726046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0764da2c3037904e3cc896778bfbc82fecb9db7695626a4bc54c55b84dd8d923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-28T08:18:23Z",
    "title_canon_sha256": "e70b6dc9ba7067c6c942d4364e4d16ff6af3f1d1ac4ccd0fb2b579c58d075d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6447",
    "kind": "arxiv",
    "version": 2
  }
}