Pith Number

pith:2B5UU4J4

pith:2009:2B5UU4J4LQPZOOG3RXVU3Q2UE2

not attested not anchored not stored refs pending

A new asymptotic enumeration technique: the Lovasz Local Lemma

Laszlo A. Szekely, Linyuan Lu

arxiv:0905.3983 v4 · 2009-05-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2B5UU4J4LQPZOOG3RXVU3Q2UE2}

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	2026-05-18T02:58:22.345620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07b4a713c5c1f9738db8deb4dc35426bd2c79c8c1022c9de60ed7bd1d84acce

Aliases

arxiv: 0905.3983 · arxiv_version: 0905.3983v4 · doi: 10.48550/arxiv.0905.3983 · pith_short_12: 2B5UU4J4LQPZ · pith_short_16: 2B5UU4J4LQPZOOG3 · pith_short_8: 2B5UU4J4

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/2B5UU4J4LQPZOOG3RXVU3Q2UE2 \
  | 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: d07b4a713c5c1f9738db8deb4dc35426bd2c79c8c1022c9de60ed7bd1d84acce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2741bb258bd7f16fe59e1c2df4469ac7e90c8988c9c52e24b1bd53e362822fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-25T09:37:14Z",
    "title_canon_sha256": "e6e676db6ad700903f2b22b6cf741dc72a30af69af58632a916b4ee3f47f4921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3983",
    "kind": "arxiv",
    "version": 4
  }
}