Pith Number

pith:LHE2WGOU

pith:2022:LHE2WGOURN4APOXTJHPVQLKC3P

not attested not anchored not stored refs pending

Erd\H{o}s' minimum overlap problem

Ethan Patrick White

arxiv:2201.05704 v1 · 2022-01-14 · math.CO · math.NT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHE2WGOURN4APOXTJHPVQLKC3P}

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

2 papers in Pith

Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery

AI-Assisted Discovery of Convex Relaxations via Dual Agents

Receipt and verification

First computed	2026-07-05T03:48:50.594897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c9ab19d48b7807baf349df582d42dbdaa117974278842444da7b93fa504122

Aliases

arxiv: 2201.05704 · arxiv_version: 2201.05704v1 · doi: 10.48550/arxiv.2201.05704 · pith_short_12: LHE2WGOURN4A · pith_short_16: LHE2WGOURN4APOXT · pith_short_8: LHE2WGOU

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/LHE2WGOURN4APOXTJHPVQLKC3P \
  | 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: 59c9ab19d48b7807baf349df582d42dbdaa117974278842444da7b93fa504122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd6d8418c96875a2963ca1b8b2da634372adb3db4d392b555492614514b8434",
    "cross_cats_sorted": [
      "math.NT",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-14T23:03:26Z",
    "title_canon_sha256": "29a119a601a8bd7581cbde0350a72c7f811ed9c9434d63d191bc7f9fe8d40caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05704",
    "kind": "arxiv",
    "version": 1
  }
}