Pith Number

pith:V3SGWP44

pith:2025:V3SGWP44ATVVSD7RHP2Y4Q23PS

not attested not anchored not stored refs pending

Furstenberg set theorem for transversal families of functions

Aleksi Py\"or\"al\"a, Guangzeng Yi, Tuomas Orponen

arxiv:2508.19047 v1 · 2025-08-26 · math.CA · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3SGWP44ATVVSD7RHP2Y4Q23PS}

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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.

Cited by

1 paper in Pith

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay

Receipt and verification

First computed	2026-07-05T11:59:35.842560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee46b3f9c04eb590ff13bf58e435b7c93e038012ee2783d6227705f89599bde

Aliases

arxiv: 2508.19047 · arxiv_version: 2508.19047v1 · doi: 10.48550/arxiv.2508.19047 · pith_short_12: V3SGWP44ATVV · pith_short_16: V3SGWP44ATVVSD7R · pith_short_8: V3SGWP44

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/V3SGWP44ATVVSD7RHP2Y4Q23PS \
  | 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: aee46b3f9c04eb590ff13bf58e435b7c93e038012ee2783d6227705f89599bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a26212888bb017d651e7a1981a26d30f4ddd7dc0e0a339c7e753860375dadb1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-08-26T14:00:58Z",
    "title_canon_sha256": "7655d8910910c525e10f6a219ab25a632fde328901810d82cbc314239e13b19b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19047",
    "kind": "arxiv",
    "version": 1
  }
}