Pith Number

pith:6EUYK6NK

pith:2013:6EUYK6NK2HQVIPYNJQXUN466SL

not attested not anchored not stored refs pending

Automorphisms of surfaces of general type with q=1 acting trivially in cohomology

Jin-Xing Cai, Wenfei Liu

arxiv:1308.3952 v3 · 2013-08-19 · 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{6EUYK6NK2HQVIPYNJQXUN466SL}

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	2026-05-18T00:28:41.587171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1298579aad1e1543f0d4c2f46f3de92c9d3866e1eeb8f627759ede0c8909e66

Aliases

arxiv: 1308.3952 · arxiv_version: 1308.3952v3 · doi: 10.48550/arxiv.1308.3952 · pith_short_12: 6EUYK6NK2HQV · pith_short_16: 6EUYK6NK2HQVIPYN · pith_short_8: 6EUYK6NK

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/6EUYK6NK2HQVIPYNJQXUN466SL \
  | 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: f1298579aad1e1543f0d4c2f46f3de92c9d3866e1eeb8f627759ede0c8909e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e19f13ed2b4f0c519a134a704338b848e2195c43773019b8fe7b73b527ac1881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-19T08:13:34Z",
    "title_canon_sha256": "9f293b9e3d83e806f4ca4e329b10e29906544d56b48f13befd3cfb599cc63ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3952",
    "kind": "arxiv",
    "version": 3
  }
}