Pith Number

pith:BZ4G3KKN

pith:2009:BZ4G3KKN7GVNOCHLFWI2GZ6XXQ

not attested not anchored not stored refs pending

Geometrically rational real conic bundles and very transitive actions

Fr\'ed\'eric Mangolte (LAMA), J\'er\'emy Blanc

arxiv:0903.3101 v4 · 2009-03-18 · 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{BZ4G3KKN7GVNOCHLFWI2GZ6XXQ}

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	2026-05-17T23:53:37.144084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e786da94df9aad708eb2d91a367d7bc2c5cec9560b1cec2df3c8d7bff5348c2

Aliases

arxiv: 0903.3101 · arxiv_version: 0903.3101v4 · doi: 10.48550/arxiv.0903.3101 · pith_short_12: BZ4G3KKN7GVN · pith_short_16: BZ4G3KKN7GVNOCHL · pith_short_8: BZ4G3KKN

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/BZ4G3KKN7GVNOCHLFWI2GZ6XXQ \
  | 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: 0e786da94df9aad708eb2d91a367d7bc2c5cec9560b1cec2df3c8d7bff5348c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f2bb254cbc686dbd18d942022faf621b8b96299cde5455b7655eb9911a29e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-18T07:50:40Z",
    "title_canon_sha256": "f06d3c1bc24f7f29345019089a04d2d7d01652327063de4e7709f3772365bc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3101",
    "kind": "arxiv",
    "version": 4
  }
}