Pith Number

pith:MKPA72GY

pith:2026:MKPA72GYL24FOSSPLXOP3YG5YU

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The Lov\'{a}sz Local Lemma: Foundations and Applications

Igal Sason

The Lovász Local Lemma admits a proof based solely on unconditional probability inequalities.

arxiv:2603.07245 v5 · 2026-03-07 · math.CO · math.PR

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\usepackage{pith}
\pithnumber{MKPA72GYL24FOSSPLXOP3YG5YU}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

The paper presents a pedagogically motivated reformulation of the proof of the Lovász Local Lemma based solely on unconditional probability inequalities.

C2weakest assumption

That the reformulation using only unconditional probability inequalities is meaningfully simpler or more accessible than standard presentations in the literature.

C3one line summary

An expository review presenting a pedagogically reformulated proof of the Lovász Local Lemma using unconditional inequalities, plus revisited applications and algorithmic perspectives.

Receipt and verification

First computed	2026-06-12T01:09:24.585589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629e0fe8d85eb8574a4f5ddcfde0ddc51c6a223c4236a6de54a9f7c48bc9add1

Aliases

arxiv: 2603.07245 · arxiv_version: 2603.07245v5 · doi: 10.48550/arxiv.2603.07245 · pith_short_12: MKPA72GYL24F · pith_short_16: MKPA72GYL24FOSSP · pith_short_8: MKPA72GY

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/MKPA72GYL24FOSSPLXOP3YG5YU \
  | 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: 629e0fe8d85eb8574a4f5ddcfde0ddc51c6a223c4236a6de54a9f7c48bc9add1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1437cb367d9ecfdca96165c52c24cbb329e9a9d3e88481615e58b90584e757a3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-07T14:55:00Z",
    "title_canon_sha256": "ebf4323c32107766075af41ce6a9706d8dc94a11ab38f23fd0fd717f93622915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07245",
    "kind": "arxiv",
    "version": 5
  }
}