Pith Number

pith:ZN7LEAXX

pith:2011:ZN7LEAXXNWLPYCPJUPIDGCRHO5

not attested not anchored not stored refs pending

Multi-way spectral partitioning and higher-order Cheeger inequalities

James R. Lee, Luca Trevisan, Shayan Oveis Gharan

arxiv:1111.1055 v6 · 2011-11-04 · math.MG · cs.DS · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN7LEAXXNWLPYCPJUPIDGCRHO5}

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.

Cited by

1 paper in Pith

Generalized Spectral Clustering of Low-Inertia Power Networks

Receipt and verification

First computed	2026-05-18T02:33:07.945293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7eb202f76d96fc09e9a3d0330a27775404705f36087980b6124b3bedf88b96

Aliases

arxiv: 1111.1055 · arxiv_version: 1111.1055v6 · doi: 10.48550/arxiv.1111.1055 · pith_short_12: ZN7LEAXXNWLP · pith_short_16: ZN7LEAXXNWLPYCPJ · pith_short_8: ZN7LEAXX

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/ZN7LEAXXNWLPYCPJUPIDGCRHO5 \
  | 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: cb7eb202f76d96fc09e9a3d0330a27775404705f36087980b6124b3bedf88b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dea8baa780a0ad5f4b5853d831ae1ee700e0c37c999b9aa972c3831b9dd528d",
    "cross_cats_sorted": [
      "cs.DS",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-04T06:57:56Z",
    "title_canon_sha256": "ccbbca671b7672e3c2bd251d5024352ef89c988817b256c9bc8d4099b3a01cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1055",
    "kind": "arxiv",
    "version": 6
  }
}