Pith Number

pith:FGFRI4VF

pith:2006:FGFRI4VFPMKDT6QVYLBJBZUOSL

not attested not anchored not stored refs pending

On surfaces of general type with p_g=q=1 isogenous to a product of curves

Francesco Polizzi

arxiv:math/0601063 v3 · 2006-01-04 · 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{FGFRI4VFPMKDT6QVYLBJBZUOSL}

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	2026-05-18T02:51:42.766577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298b1472a57b1439fa15c2c290e68e92e460cab43d345e750953a6d8ea0b1744

Aliases

arxiv: math/0601063 · arxiv_version: math/0601063v3 · doi: 10.48550/arxiv.math/0601063 · pith_short_12: FGFRI4VFPMKD · pith_short_16: FGFRI4VFPMKDT6QV · pith_short_8: FGFRI4VF

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/FGFRI4VFPMKDT6QVYLBJBZUOSL \
  | 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: 298b1472a57b1439fa15c2c290e68e92e460cab43d345e750953a6d8ea0b1744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79cdc9419112b9ca97de7e1c841550bdb3c5136dd0af2863ce45a56f0c50364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-04T11:49:18Z",
    "title_canon_sha256": "11a23af4bf0883cc2bae821a4ad1f8f28a72e7dd4249e93a26c5af0582429b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601063",
    "kind": "arxiv",
    "version": 3
  }
}