Pith Number

pith:QADD4G7B

pith:2012:QADD4G7BWYBXO4ZQL5GMANULGV

not attested not anchored not stored refs pending

Rational points on pencils of conics and quadrics with many degenerate fibres

Alexei Skorobogatov, Lilian Matthiesen, Tim Browning

arxiv:1209.0207 v2 · 2012-09-02 · math.NT · 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{QADD4G7BWYBXO4ZQL5GMANULGV}

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	2026-05-18T03:20:58.761611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80063e1be1b6037773305f4cc0368b35533c85129f2ffe1216ce1644aedcc733

Aliases

arxiv: 1209.0207 · arxiv_version: 1209.0207v2 · doi: 10.48550/arxiv.1209.0207 · pith_short_12: QADD4G7BWYBX · pith_short_16: QADD4G7BWYBXO4ZQ · pith_short_8: QADD4G7B

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/QADD4G7BWYBXO4ZQL5GMANULGV \
  | 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: 80063e1be1b6037773305f4cc0368b35533c85129f2ffe1216ce1644aedcc733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d7a3d19d4fb405658550f1c7bd5a9caba790aea2298da65a3883516a1496fc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-02T19:45:07Z",
    "title_canon_sha256": "db6cb8f933faa51be81b13d29eec781790adda1c174eb2ccd07a20ddf06c5253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0207",
    "kind": "arxiv",
    "version": 2
  }
}