Pith Number

pith:3FTYUKJU

pith:2018:3FTYUKJUMZE7A4PM4QACQS35UQ

not attested not anchored not stored refs pending

Optimal Cheeger cuts and bisections of random geometric graphs

Mathew D. Penrose, Tobias M\"uller

arxiv:1805.08669 v1 · 2018-05-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FTYUKJUMZE7A4PM4QACQS35UQ}

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	2026-05-18T00:15:25.489330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9678a29346649f071ece400284b7da41bed46ad12eea69c2de87e82fa9b8ad8

Aliases

arxiv: 1805.08669 · arxiv_version: 1805.08669v1 · doi: 10.48550/arxiv.1805.08669 · pith_short_12: 3FTYUKJUMZE7 · pith_short_16: 3FTYUKJUMZE7A4PM · pith_short_8: 3FTYUKJU

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/3FTYUKJUMZE7A4PM4QACQS35UQ \
  | 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: d9678a29346649f071ece400284b7da41bed46ad12eea69c2de87e82fa9b8ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2798ba6851043b567cad04d8333b382fc412a11fddbe61455a188748b5ef63e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-22T15:41:55Z",
    "title_canon_sha256": "efeab136c9b2db61207df7772750a576133cc866f76e00bdfea1a54b1c12c9ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08669",
    "kind": "arxiv",
    "version": 1
  }
}