Pith Number

pith:B5KDUDTF

pith:2013:B5KDUDTFPDHSL2S6HXF3BVLDFL

not attested not anchored not stored refs pending

Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in Z^k

Grigori Kolesnik, Manfred Madritsch, Robert Tichy, Vitaly Bergelson, Younghwan Son

arxiv:1304.4641 v4 · 2013-04-16 · 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{B5KDUDTFPDHSL2S6HXF3BVLDFL}

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	2026-05-18T03:06:42.937589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f543a0e6578cf25ea5e3dcbb0d5632afcf0219a4e6a0cdfb31d148ff5cccaae

Aliases

arxiv: 1304.4641 · arxiv_version: 1304.4641v4 · doi: 10.48550/arxiv.1304.4641 · pith_short_12: B5KDUDTFPDHS · pith_short_16: B5KDUDTFPDHSL2S6 · pith_short_8: B5KDUDTF

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/B5KDUDTFPDHSL2S6HXF3BVLDFL \
  | 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: 0f543a0e6578cf25ea5e3dcbb0d5632afcf0219a4e6a0cdfb31d148ff5cccaae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10efab95653b10aafadb76250210b353bcf1bf829cc0a86e88b7440b1a8921de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-16T22:51:53Z",
    "title_canon_sha256": "9329faedd9cad64cb4a451b0f60300aa9281a67a3ceaf2f0362ddf8d7dfce82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4641",
    "kind": "arxiv",
    "version": 4
  }
}