Pith Number

pith:VIYFY42Y

pith:2025:VIYFY42YUP6NVWDFVBLKIROPVM

not attested not anchored not stored refs pending

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

Beatrice Meini, Dario A. Bini, Federico Poloni

arxiv:2508.21506 v1 · 2025-08-29 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIYFY42YUP6NVWDFVBLKIROPVM}

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	2026-07-05T12:01:35.804612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa305c7358a3fcdad865a856a445cfab34b6034c0572bd7ca9dedd82d9b38de3

Aliases

arxiv: 2508.21506 · arxiv_version: 2508.21506v1 · doi: 10.48550/arxiv.2508.21506 · pith_short_12: VIYFY42YUP6N · pith_short_16: VIYFY42YUP6NVWDF · pith_short_8: VIYFY42Y

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/VIYFY42YUP6NVWDFVBLKIROPVM \
  | 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: aa305c7358a3fcdad865a856a445cfab34b6034c0572bd7ca9dedd82d9b38de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d478548df5db6ba7e3d27c7dc6b9741f3fe3b48395d98145d962116afe6f2ad",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-29T10:38:39Z",
    "title_canon_sha256": "6ca702b0e26f37443397bf1fe530c89ed4ac49ce1e767683585d5ca7ba160c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21506",
    "kind": "arxiv",
    "version": 1
  }
}