Pith Number

pith:5OCKMXOW

pith:2025:5OCKMXOWPH62EQAHDAQH26NYZZ

not attested not anchored not stored refs pending

Erd\H{o}s's integer dilation approximation problem and GCD graphs

Dimitris Koukoulopoulos, Jared Duker Lichtman, Youness Lamzouri

arxiv:2502.09539 v1 · 2025-02-13 · math.NT · math.CO · 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{5OCKMXOWPH62EQAHDAQH26NYZZ}

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.

Cited by

1 paper in Pith

Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond

Receipt and verification

First computed	2026-07-05T10:13:59.221606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb84a65dd679fda2400718207d79b8ce68e7a890053f7b7d2ad088cefd21a29d

Aliases

arxiv: 2502.09539 · arxiv_version: 2502.09539v1 · doi: 10.48550/arxiv.2502.09539 · pith_short_12: 5OCKMXOWPH62 · pith_short_16: 5OCKMXOWPH62EQAH · pith_short_8: 5OCKMXOW

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/5OCKMXOWPH62EQAHDAQH26NYZZ \
  | 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: eb84a65dd679fda2400718207d79b8ce68e7a890053f7b7d2ad088cefd21a29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24adb75eaba845df95ac20c06ec1b8489bccc98a69d5696a54873175e9131c4",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-13T17:56:24Z",
    "title_canon_sha256": "a5f5be63cb125984eb2866bf6957c88f1cce25f03a3724bdd18983c1a9c0c6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09539",
    "kind": "arxiv",
    "version": 1
  }
}