Pith Number

pith:OLFCOHSV

pith:2025:OLFCOHSVBMHQCY3ETTOYENDWS2

not attested not anchored not stored refs pending

The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields

Doowon Koh, Firdavs Rakhmonov, Hunseok Kang

arxiv:2506.07251 v1 · 2025-06-08 · math.CO · 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{OLFCOHSVBMHQCY3ETTOYENDWS2}

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	2026-07-05T11:18:04.220375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ca271e550b0f0163649cdd82347696a32e3d014a5cf84d5d0d5e935db651e1

Aliases

arxiv: 2506.07251 · arxiv_version: 2506.07251v1 · doi: 10.48550/arxiv.2506.07251 · pith_short_12: OLFCOHSVBMHQ · pith_short_16: OLFCOHSVBMHQCY3E · pith_short_8: OLFCOHSV

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/OLFCOHSVBMHQCY3ETTOYENDWS2 \
  | 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: 72ca271e550b0f0163649cdd82347696a32e3d014a5cf84d5d0d5e935db651e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf65b53fedcfe9e24eadc6e7bf1fb7510a8075fb4bd635c3c29b30a0bd9787ae",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-08T18:20:49Z",
    "title_canon_sha256": "05948ed53d4e613cd3b54ca0bdd4a8350a0c5a89a4577efaeef323c9e0740ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07251",
    "kind": "arxiv",
    "version": 1
  }
}