Pith Number

pith:B6WUSRKT

pith:2011:B6WUSRKTCZ4BMSKYTKJMNXNOEM

not attested not anchored not stored refs pending

The set of badly approximable vectors is strongly $C^1$ incompressible

Asaf Reich, Barak Weiss, Dmitry Kleinbock, Lior Fishman, Ryan Broderick

arxiv:1106.1621 v1 · 2011-06-08 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6WUSRKTCZ4BMSKYTKJMNXNOEM}

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	2026-05-18T02:01:40.754863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fad49455316781649589a92c6ddae231c6e9e02675b9face6d2bdb0c9a4f530

Aliases

arxiv: 1106.1621 · arxiv_version: 1106.1621v1 · doi: 10.48550/arxiv.1106.1621 · pith_short_12: B6WUSRKTCZ4B · pith_short_16: B6WUSRKTCZ4BMSKY · pith_short_8: B6WUSRKT

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/B6WUSRKTCZ4BMSKYTKJMNXNOEM \
  | 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: 0fad49455316781649589a92c6ddae231c6e9e02675b9face6d2bdb0c9a4f530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c139b2f5d6fe13f5f3c5590e5e88a8820b9e3ab9f04ed74c1991253c311370",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-08T18:57:48Z",
    "title_canon_sha256": "33504928780e453ea4c73bdf17835be50b93e6081a091a273e5589233a7561dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1621",
    "kind": "arxiv",
    "version": 1
  }
}