Pith Number

pith:BWSCKYHK

pith:2010:BWSCKYHKMSDMBBHR2EJMD76HOW

not attested not anchored not stored refs pending

A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries

Alex Iosevich, David Covert, Derrick Hart, Ignacio Uriarte-Tuero, Steven Senger

arxiv:1009.3991 v1 · 2010-09-21 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWSCKYHKMSDMBBHR2EJMD76HOW}

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	2026-05-18T04:40:34.761474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da42560ea6486c084f1d112c1ffc775a99e1ae46594eae6e7248320c5b0d182

Aliases

arxiv: 1009.3991 · arxiv_version: 1009.3991v1 · doi: 10.48550/arxiv.1009.3991 · pith_short_12: BWSCKYHKMSDM · pith_short_16: BWSCKYHKMSDMBBHR · pith_short_8: BWSCKYHK

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/BWSCKYHKMSDMBBHR2EJMD76HOW \
  | 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: 0da42560ea6486c084f1d112c1ffc775a99e1ae46594eae6e7248320c5b0d182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bcb9846c4c076ea5cdfe427948c11c128ab7cd720098d91122a8974cce45eda",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-21T03:44:47Z",
    "title_canon_sha256": "2a658a6caca23949040eb94cef05fe7e40ef60c3a328a827e841cc21d9d72ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3991",
    "kind": "arxiv",
    "version": 1
  }
}