Pith Number

pith:YOSGYYXD

pith:2003:YOSGYYXDV5BDOSOO4FWZ23R6KQ

not attested not anchored not stored refs pending

On the classification of surfaces of general type with non-birational bicanonical map and Du Val Double planes

Giuseppe Borrelli

arxiv:math/0312351 v2 · 2003-12-18 · 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{YOSGYYXDV5BDOSOO4FWZ23R6KQ}

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	2026-07-04T14:38:06.295887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a46c62e3af423749cee16d9d6e3e5404fb4d2011f456f35f40635a8659f186

Aliases

arxiv: math/0312351 · arxiv_version: math/0312351v2 · doi: 10.48550/arxiv.math/0312351 · pith_short_12: YOSGYYXDV5BD · pith_short_16: YOSGYYXDV5BDOSOO · pith_short_8: YOSGYYXD

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/YOSGYYXDV5BDOSOO4FWZ23R6KQ \
  | 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: c3a46c62e3af423749cee16d9d6e3e5404fb4d2011f456f35f40635a8659f186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe932dd99661a90b0e73c622dffd71664afef92579a6ff05329610fdfb15d37f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-12-18T09:23:10Z",
    "title_canon_sha256": "a57914ec0b8affbf5473986d8bb1aab100bc5bf5d8de0fab481620408c3f7f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312351",
    "kind": "arxiv",
    "version": 2
  }
}