Pith Number

pith:VGO4MBCY

pith:2022:VGO4MBCYND7JSDOYOLUGVLDUUK

not attested not anchored not stored refs pending

On the Edge Derivative of the Normalized Laplacian with Applications to Kemeny's Constant

Abigail K. Nix, Ari Holcombe Pomerance, Connor Albright, Joel Jeffries, Kate J. Lorenzen, Kimberly P. Hadaway

arxiv:2211.01495 v2 · 2022-11-02 · 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{VGO4MBCYND7JSDOYOLUGVLDUUK}

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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

The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs

Receipt and verification

First computed	2026-07-05T06:30:42.709485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99dc6045868fe990dd872e86aac74a2b088b205fc86903283056584de8da4a5

Aliases

arxiv: 2211.01495 · arxiv_version: 2211.01495v2 · doi: 10.48550/arxiv.2211.01495 · pith_short_12: VGO4MBCYND7J · pith_short_16: VGO4MBCYND7JSDOY · pith_short_8: VGO4MBCY

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/VGO4MBCYND7JSDOYOLUGVLDUUK \
  | 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: a99dc6045868fe990dd872e86aac74a2b088b205fc86903283056584de8da4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77989a333a2db4d7a20354c2d98e36e0a1d5cdfa184344cdf6b05d5c11dae7d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-02T21:48:12Z",
    "title_canon_sha256": "b04b2e09a111b1c10b1cebe8ca45b1a0779cd854e9b97717d73f4169657ff8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.01495",
    "kind": "arxiv",
    "version": 2
  }
}