Pith Number

pith:FODITQPO

pith:2010:FODITQPOSDBPEO47AX7HA7VMEF

not attested not anchored not stored refs pending

On surfaces with p_g=q=2, K^2=5 and Albanese map of degree 3

Francesco Polizzi, Matteo Penegini

arxiv:1011.4388 v2 · 2010-11-19 · 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{FODITQPOSDBPEO47AX7HA7VMEF}

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	2026-05-18T03:11:47.460586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8689c1ee90c2f23b9f05fe707eac2149d9a6602f60a47d710cc5b754960caf

Aliases

arxiv: 1011.4388 · arxiv_version: 1011.4388v2 · doi: 10.48550/arxiv.1011.4388 · pith_short_12: FODITQPOSDBP · pith_short_16: FODITQPOSDBPEO47 · pith_short_8: FODITQPO

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/FODITQPOSDBPEO47AX7HA7VMEF \
  | 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: 2b8689c1ee90c2f23b9f05fe707eac2149d9a6602f60a47d710cc5b754960caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa40c52f4e694917db770cfd5fa6f06ad39deaff9f6c4f51a4c62a98ecf6a31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-19T10:37:12Z",
    "title_canon_sha256": "6b51b8428526dd58c41fb1d342712dacfa6c97efd02abf26d602e6469de556f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4388",
    "kind": "arxiv",
    "version": 2
  }
}