Pith Number

pith:UNAH33PN

pith:2007:UNAH33PNG4Z4RFDGWWKUAGTPDP

not attested not anchored not stored refs pending

The classification of surfaces with p_g=q=1 isogenous to a product of curves

Francesco Polizzi, Giovanna Carnovale

arxiv:0704.0446 v2 · 2007-04-03 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNAH33PNG4Z4RFDGWWKUAGTPDP}

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	2026-05-18T02:51:48.879563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3407deded3733c89466b595401a6f1bc9ebcf395b8c15a367fe8f274e7aeebd

Aliases

arxiv: 0704.0446 · arxiv_version: 0704.0446v2 · doi: 10.48550/arxiv.0704.0446 · pith_short_12: UNAH33PNG4Z4 · pith_short_16: UNAH33PNG4Z4RFDG · pith_short_8: UNAH33PN

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/UNAH33PNG4Z4RFDGWWKUAGTPDP \
  | 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: a3407deded3733c89466b595401a6f1bc9ebcf395b8c15a367fe8f274e7aeebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb6881e98ca33533ea13f04809ceead8756b05eb1213b2dbe303e3d2b8bb50e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-04-03T17:51:36Z",
    "title_canon_sha256": "0ebd0180c96768b66d820a260d393a911ad748475232bb1cad3ad6e806e3af17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0446",
    "kind": "arxiv",
    "version": 2
  }
}