Pith Number

pith:KRGLW54I

pith:2013:KRGLW54IY2R7ZQN46HA6WIB6SE

not attested not anchored not stored refs pending

Approximation faible et principe de Hasse pour des espaces homog\`enes \`a stabilisateur fini r\'esoluble (Weak Approximation and Hasse Principle for homogeneous spaces with finite solvable stabilizer)

Giancarlo Lucchini Arteche

arxiv:1304.7624 v4 · 2013-04-29 · 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{KRGLW54IY2R7ZQN46HA6WIB6SE}

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	2026-05-18T00:36:04.311093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

544cbb7788c6a3fcc1bcf1c1eb203e91072da7f01d921bdec95100c9bbaf7d2e

Aliases

arxiv: 1304.7624 · arxiv_version: 1304.7624v4 · doi: 10.48550/arxiv.1304.7624 · pith_short_12: KRGLW54IY2R7 · pith_short_16: KRGLW54IY2R7ZQN4 · pith_short_8: KRGLW54I

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/KRGLW54IY2R7ZQN46HA6WIB6SE \
  | 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: 544cbb7788c6a3fcc1bcf1c1eb203e91072da7f01d921bdec95100c9bbaf7d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2143f0cdce668d9181e986ded8f20f3b8dd416dbc21e2ac260709efd2f683dc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-29T11:50:12Z",
    "title_canon_sha256": "24e954d80585ab71228a3fafd77cef9ddd481c4b5784737f7f85fdae0bfd4418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7624",
    "kind": "arxiv",
    "version": 4
  }
}