Pith Number

pith:C2P75EZZ

pith:2011:C2P75EZZ7TFZI5QGT5GGLJLUJY

not attested not anchored not stored refs pending

Badly approximable vectors in affine subspaces: Jarn\'{\i}k-type result

Nikolay Moshchevitin

arxiv:1102.4431 v1 · 2011-02-22 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2P75EZZ7TFZI5QGT5GGLJLUJY}

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	2026-05-18T04:28:08.961241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169ffe9339fccb9476069f4c65a5744e1b5eae413c0c5355addb683d9258f311

Aliases

arxiv: 1102.4431 · arxiv_version: 1102.4431v1 · doi: 10.48550/arxiv.1102.4431 · pith_short_12: C2P75EZZ7TFZ · pith_short_16: C2P75EZZ7TFZI5QG · pith_short_8: C2P75EZZ

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/C2P75EZZ7TFZI5QGT5GGLJLUJY \
  | 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: 169ffe9339fccb9476069f4c65a5744e1b5eae413c0c5355addb683d9258f311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0047c6ece8d91c9fd274fc0c9783fa14945f727f568239daaa925857b502cec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-22T08:27:37Z",
    "title_canon_sha256": "30a4bb209c3994901b8ce8e770a169de9c4541ba045a12568adc2a0f87aac7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4431",
    "kind": "arxiv",
    "version": 1
  }
}