Pith Number

pith:D3J56P4N

pith:2013:D3J56P4NIW5LH5ZVREVEJDMLSJ

not attested not anchored not stored refs pending

Witness trees in the Moser-Tardos algorithmic Lov\'asz Local Lemma and Penrose trees in the hard core lattice gas

Aldo Procacci, Rog\'erio Gomes Alves

arxiv:1306.3511 v1 · 2013-06-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3J56P4NIW5LH5ZVREVEJDMLSJ}

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	2026-05-18T03:20:47.314297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed3df3f8d45bab3f735892a448d8b925c7c645cb48f9cf4359c1ebe193c305a

Aliases

arxiv: 1306.3511 · arxiv_version: 1306.3511v1 · doi: 10.48550/arxiv.1306.3511 · pith_short_12: D3J56P4NIW5L · pith_short_16: D3J56P4NIW5LH5ZV · pith_short_8: D3J56P4N

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/D3J56P4NIW5LH5ZVREVEJDMLSJ \
  | 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: 1ed3df3f8d45bab3f735892a448d8b925c7c645cb48f9cf4359c1ebe193c305a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ca0da1747007efc1785c02f08fce13515860e00cf635eb0016422f4a6849c3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-14T20:46:55Z",
    "title_canon_sha256": "52920294461c0f99451eb7edf7b1c6b633244a80bcd11965fef28c4e48ec094e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3511",
    "kind": "arxiv",
    "version": 1
  }
}