Pith Number

pith:QBC45FSF

pith:2013:QBC45FSFFCA3O4G6HALL3MS6MW

not attested not anchored not stored refs pending

Shearer's point process, the hard-sphere model and a continuum Lov\'asz Local Lemma

Christoph Hofer-Temmel

arxiv:1312.0850 v8 · 2013-12-03 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBC45FSFFCA3O4G6HALL3MS6MW}

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	2026-05-18T00:48:28.939892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8045ce96452881b770de3816bdb25e659c91de36952deee6d6d8e7523e5a71cb

Aliases

arxiv: 1312.0850 · arxiv_version: 1312.0850v8 · doi: 10.48550/arxiv.1312.0850 · pith_short_12: QBC45FSFFCA3 · pith_short_16: QBC45FSFFCA3O4G6 · pith_short_8: QBC45FSF

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/QBC45FSFFCA3O4G6HALL3MS6MW \
  | 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: 8045ce96452881b770de3816bdb25e659c91de36952deee6d6d8e7523e5a71cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24ccc21ac09671bfc7511d2d0d5bcaf46a75d0d1937b9195fc03b6e39258c864",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-03T15:23:42Z",
    "title_canon_sha256": "d4926625ea22a8cc7f48b7296cfe6195b5989d2e7a3cc27f74e0e011e4eb3e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0850",
    "kind": "arxiv",
    "version": 8
  }
}