Pith Number

pith:DE4ZDIIO

pith:2015:DE4ZDIIO4O73E2RFHK6FKYIG5Q

not attested not anchored not stored refs pending

Weak approximation for homogeneous spaces: reduction to the case with finite stabilizer

Giancarlo Lucchini Arteche

arxiv:1504.08296 v3 · 2015-04-30 · 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{DE4ZDIIO4O73E2RFHK6FKYIG5Q}

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	2026-05-18T00:36:04.193228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193991a10ee3bfb26a253abc556106ec273f873e845803fa6ee0d1a5d66c0e02

Aliases

arxiv: 1504.08296 · arxiv_version: 1504.08296v3 · doi: 10.48550/arxiv.1504.08296 · pith_short_12: DE4ZDIIO4O73 · pith_short_16: DE4ZDIIO4O73E2RF · pith_short_8: DE4ZDIIO

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/DE4ZDIIO4O73E2RFHK6FKYIG5Q \
  | 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: 193991a10ee3bfb26a253abc556106ec273f873e845803fa6ee0d1a5d66c0e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de03e0594b67b9e6b534a0c1e62a1c84a39944177537f2e3e9dd34cec21fd99",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-30T16:33:18Z",
    "title_canon_sha256": "65225324fee7e82ae0a21edbaa0c3fe87ea19506c4b0a15ed1ece9365a23275f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08296",
    "kind": "arxiv",
    "version": 3
  }
}