Pith Number

pith:KBZP2FJB

pith:2012:KBZP2FJBWPJLUOOC6NESO5RXLA

not attested not anchored not stored refs pending

Distribution of components in the k-nearest neighbour random geometric graph for k below the connectivity threshold

Victor Falgas-Ravry

arxiv:1211.5918 v3 · 2012-11-26 · math.PR · 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{KBZP2FJBWPJLUOOC6NESO5RXLA}

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	2026-05-18T03:13:10.612285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5072fd1521b3d2ba39c2f34927763758148117eb13f8181da39ab5c9809d380d

Aliases

arxiv: 1211.5918 · arxiv_version: 1211.5918v3 · doi: 10.48550/arxiv.1211.5918 · pith_short_12: KBZP2FJBWPJL · pith_short_16: KBZP2FJBWPJLUOOC · pith_short_8: KBZP2FJB

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/KBZP2FJBWPJLUOOC6NESO5RXLA \
  | 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: 5072fd1521b3d2ba39c2f34927763758148117eb13f8181da39ab5c9809d380d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ee8df0eeb0f6c15373ed17ca46694f699ce20223c0bc23302f16c5f9c5dd83",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-26T11:43:09Z",
    "title_canon_sha256": "0f9fbdc9dc743d5997e043b97650bda6c0d1a13844896ddc0fc05e28dc8044cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5918",
    "kind": "arxiv",
    "version": 3
  }
}