Pith Number

pith:5RC7RW4R

pith:2025:5RC7RW4RP2YAJ5Q32NBD7CVTPS

not attested not anchored not stored refs pending

Kemeny's constant minimization for reversible Markov chains via structure-preserving perturbations

Beatrice Meini, Fabio Durastante, Miryam Gnazzo

arxiv:2510.24679 v4 · 2025-10-28 · math.NA · cs.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RC7RW4RP2YAJ5Q32NBD7CVTPS}

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	2026-06-19T16:10:54.049638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec45f8db917eb004f61bd3423f8ab37cac250d28cc615a8b261d18520355c921

Aliases

arxiv: 2510.24679 · arxiv_version: 2510.24679v4 · doi: 10.48550/arxiv.2510.24679 · pith_short_12: 5RC7RW4RP2YA · pith_short_16: 5RC7RW4RP2YAJ5Q3 · pith_short_8: 5RC7RW4R

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/5RC7RW4RP2YAJ5Q32NBD7CVTPS \
  | 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: ec45f8db917eb004f61bd3423f8ab37cac250d28cc615a8b261d18520355c921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db04ad3fae6ead8838d7cf31067c17f44f6aa70201a9a5d583e5a966a0cfb7f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-10-28T17:44:33Z",
    "title_canon_sha256": "d0aae4fa3e9d578eba117bb840b10025dddcb21878aa7fc8cedddd9c02e94737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.24679",
    "kind": "arxiv",
    "version": 4
  }
}