Pith Number

pith:KAJGXJLO

pith:2008:KAJGXJLO2QNN2LQBG5DFZVN46N

not attested not anchored not stored refs pending

Sous-groupes alg\'ebriques du groupe de Cremona

J\'er\'emy Blanc

arxiv:0802.2689 v2 · 2008-02-19 · 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{KAJGXJLO2QNN2LQBG5DFZVN46N}

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	2026-05-18T04:05:16.084569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50126ba56ed41add2e0137465cd5bcf37b06ca59e46b9edd5d57142cd5d10d59

Aliases

arxiv: 0802.2689 · arxiv_version: 0802.2689v2 · doi: 10.48550/arxiv.0802.2689 · pith_short_12: KAJGXJLO2QNN · pith_short_16: KAJGXJLO2QNN2LQB · pith_short_8: KAJGXJLO

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/KAJGXJLO2QNN2LQBG5DFZVN46N \
  | 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: 50126ba56ed41add2e0137465cd5bcf37b06ca59e46b9edd5d57142cd5d10d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd0f1ca9440cfd030612baf289f33e8ab04b675738f673b3bd4bb3c6f6931265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-19T17:23:05Z",
    "title_canon_sha256": "f57f6c5e3ce662a0f2a24079e70610299f1be90149af28654bcce28ece6f422f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2689",
    "kind": "arxiv",
    "version": 2
  }
}