Pith Number

pith:CN3LYNED

pith:2026:CN3LYNEDTJMP6HQSHVDV7ZRC7S

not attested not anchored not stored refs pending

Maximizing Algebraic Connectivity with $2(n-2)$ Edges: The Large Vertex Number Case

Ji Liu, Jinzheng Li, Yuanjie Ren, Zeru Zhu

arxiv:2608.07360 v1 · 2026-08-07 · math.CO · cs.LO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN3LYNEDTJMP6HQSHVDV7ZRC7S}

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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

On a conjecture of Kolokolnikov on algebraic connectivity

Receipt and verification

First computed	2026-08-10T01:15:08.698558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1376bc34839a58ff1e123d475fe622fca3b9a907908a5431f88ac520ea112380

Aliases

arxiv: 2608.07360 · arxiv_version: 2608.07360v1 · doi: 10.48550/arxiv.2608.07360 · pith_short_12: CN3LYNEDTJMP · pith_short_16: CN3LYNEDTJMP6HQS · pith_short_8: CN3LYNED

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/CN3LYNEDTJMP6HQSHVDV7ZRC7S \
  | 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: 1376bc34839a58ff1e123d475fe622fca3b9a907908a5431f88ac520ea112380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e8dda503d509f73e787353f66cb0491ab8d4070d193d509ce04cbae36782619",
    "cross_cats_sorted": [
      "cs.LO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-07T16:02:23Z",
    "title_canon_sha256": "e79265e9a313546ec8997cc7d97d6552ff2c6dcf3571303ae0639dbe1af22e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07360",
    "kind": "arxiv",
    "version": 1
  }
}