Pith Number

pith:3X7LLLKV

pith:2011:3X7LLLKVKEZMLQ56KYBI4LF5TC

not attested not anchored not stored refs pending

Connectivity threshold for Bluetooth graphs

G\'abor Lugosi, Luc Devroye, Nicolas Broutin, Nicolas Fraiman

arxiv:1103.0351 v1 · 2011-03-02 · math.PR · cs.DM · cs.NI · 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{3X7LLLKVKEZMLQ56KYBI4LF5TC}

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	2026-05-18T04:27:35.176122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfeb5ad555132c5c3be56028e2cbd98bc9b4bf4f131e4c7efe57f6f86de0373

Aliases

arxiv: 1103.0351 · arxiv_version: 1103.0351v1 · doi: 10.48550/arxiv.1103.0351 · pith_short_12: 3X7LLLKVKEZM · pith_short_16: 3X7LLLKVKEZMLQ56 · pith_short_8: 3X7LLLKV

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/3X7LLLKVKEZMLQ56KYBI4LF5TC \
  | 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: ddfeb5ad555132c5c3be56028e2cbd98bc9b4bf4f131e4c7efe57f6f86de0373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8d2ab19273e78e19853274ee38218cc406d0a42d6ce57d6b672f19067f9d3f",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.NI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-02T05:50:54Z",
    "title_canon_sha256": "4c126349510741039141f80b5ac1673792ee1bec57a6ba354a37609dbae28263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0351",
    "kind": "arxiv",
    "version": 1
  }
}