Pith Number

pith:WZNVLNRQ

pith:2016:WZNVLNRQC2MOU5PCZKC2C5AZZV

not attested not anchored not stored refs pending

Dual Cheeger Constants, Signless 1-Laplacians and Maxcut

Chuan Yang, Dong Zhang, Sihong Shao

arxiv:1607.00489 v2 · 2016-07-02 · math.SP · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZNVLNRQC2MOU5PCZKC2C5AZZV}

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

Cheeger-type inequalities for the second largest spectral gap from $1$ of the normalized Laplacian

Receipt and verification

First computed	2026-07-05T10:02:38.189657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65b55b6301698ea75e2ca85a17419cd5e3a03ef9a6d95d9054064abc89064cf

Aliases

arxiv: 1607.00489 · arxiv_version: 1607.00489v2 · doi: 10.48550/arxiv.1607.00489 · pith_short_12: WZNVLNRQC2MO · pith_short_16: WZNVLNRQC2MOU5PC · pith_short_8: WZNVLNRQ

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/WZNVLNRQC2MOU5PCZKC2C5AZZV \
  | 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: b65b55b6301698ea75e2ca85a17419cd5e3a03ef9a6d95d9054064abc89064cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8f44158f939f656ff9bc17eed16798a2dc42158dec157f478815290ec27062",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-02T11:04:28Z",
    "title_canon_sha256": "529a89430b75f258090281ba11b5d5c8c3f417420d294a5621cb308ca5209722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00489",
    "kind": "arxiv",
    "version": 2
  }
}