Pith Number

pith:X3XP4TTV

pith:2003:X3XP4TTVOX54NU7Y2LXHEELYDU

not attested not anchored not stored refs pending

Surfaces of general type with $p_g=q=1, K^2=8$ and bicanonical map of degree 2

Francesco Polizzi

arxiv:math/0311508 v3 · 2003-11-27 · 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{X3XP4TTVOX54NU7Y2LXHEELYDU}

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	2026-05-18T02:51:57.395269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeefe4e7575fbc6d3f8d2ee7211781d29a45e95b467fa6429c21b6064413f01

Aliases

arxiv: math/0311508 · arxiv_version: math/0311508v3 · doi: 10.48550/arxiv.math/0311508 · pith_short_12: X3XP4TTVOX54 · pith_short_16: X3XP4TTVOX54NU7Y · pith_short_8: X3XP4TTV

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/X3XP4TTVOX54NU7Y2LXHEELYDU \
  | 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: beeefe4e7575fbc6d3f8d2ee7211781d29a45e95b467fa6429c21b6064413f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b073b5bf1d8d500bc1332b62c75e5e112966004325f8f02e2a6deba814be7f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-11-27T19:13:48Z",
    "title_canon_sha256": "3a9fb5067a2965ac0cbbeb1902d8610446b529cecabd53b3f8bdb1d78b3bae60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311508",
    "kind": "arxiv",
    "version": 3
  }
}