Pith Number

pith:KCT7TX3O

pith:2015:KCT7TX3OPKPTVYSMKO5QVSG72W

not attested not anchored not stored refs pending

An alternative proof for the constructive Asymmetric Lov\'asz Local Lemma

Dimitrios M. Thilikos, Ioannis Giotis, Kostas I. Psaromiligkos, Lefteris Kirousis

arxiv:1505.02568 v1 · 2015-05-11 · cs.DM · 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{KCT7TX3OPKPTVYSMKO5QVSG72W}

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	2026-05-18T02:16:12.284656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a7f9df6e7a9f3ae24c53bb0ac8dfd58611a39be9e04279a58466b3a9e08a19

Aliases

arxiv: 1505.02568 · arxiv_version: 1505.02568v1 · doi: 10.48550/arxiv.1505.02568 · pith_short_12: KCT7TX3OPKPT · pith_short_16: KCT7TX3OPKPTVYSM · pith_short_8: KCT7TX3O

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/KCT7TX3OPKPTVYSMKO5QVSG72W \
  | 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: 50a7f9df6e7a9f3ae24c53bb0ac8dfd58611a39be9e04279a58466b3a9e08a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9473935b592050168ac1b36e12642affd06476bbb40edff9ad37b3ae67098de1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-05-11T11:13:48Z",
    "title_canon_sha256": "56fd1e6e71e4b0f9400d614dccfdbb80bdf01510d4f4acbaabd6343eadc050cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02568",
    "kind": "arxiv",
    "version": 1
  }
}