Pith Number

pith:JKN36Q2P

pith:2012:JKN36Q2PRPYMGZKRMQW7CI2EJC

not attested not anchored not stored refs pending

A new family of surfaces with $p_g=q=2$ and $K^2=6$ whose Albanese map has degree $4$

Francesco Polizzi, Matteo Penegini

arxiv:1207.3526 v3 · 2012-07-15 · 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{JKN36Q2PRPYMGZKRMQW7CI2EJC}

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	2026-05-18T02:32:39.256823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9bbf434f8bf0c36551642df1234448b04d30583e8430c8c00578132ae39ccb

Aliases

arxiv: 1207.3526 · arxiv_version: 1207.3526v3 · doi: 10.48550/arxiv.1207.3526 · pith_short_12: JKN36Q2PRPYM · pith_short_16: JKN36Q2PRPYMGZKR · pith_short_8: JKN36Q2P

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/JKN36Q2PRPYMGZKRMQW7CI2EJC \
  | 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: 4a9bbf434f8bf0c36551642df1234448b04d30583e8430c8c00578132ae39ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee29d158a9a8140867cd2eb4d915a7b600549e441b3ec822b146b14d130fdf85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-15T16:00:37Z",
    "title_canon_sha256": "d760496fe74cdd598c585c8d776e2587fd1f54ad4a5b70ae98da638b2a43f4bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3526",
    "kind": "arxiv",
    "version": 3
  }
}