Pith Number

pith:NXEQN4GZ

pith:2023:NXEQN4GZNEH4DGZ7VAIQC5FHJY

not attested not anchored not stored refs pending

On the average hitting times of weighted Cayley graphs

Yuuho Tanaka

arxiv:2310.16571 v3 · 2023-10-25 · 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{NXEQN4GZNEH4DGZ7VAIQC5FHJY}

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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

2 papers in Pith

Number of spanning trees in a wheel graph with two identified vertices via hitting times

An algebraic-combinatorial framework for finding the average hitting times in graphs with high regularity

Receipt and verification

First computed	2026-06-23T03:13:42.916283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc906f0d9690fc19b3fa8110174a74e0f086ffa0c5a625a5420e3befe93d925

Aliases

arxiv: 2310.16571 · arxiv_version: 2310.16571v3 · doi: 10.48550/arxiv.2310.16571 · pith_short_12: NXEQN4GZNEH4 · pith_short_16: NXEQN4GZNEH4DGZ7 · pith_short_8: NXEQN4GZ

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/NXEQN4GZNEH4DGZ7VAIQC5FHJY \
  | 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: 6dc906f0d9690fc19b3fa8110174a74e0f086ffa0c5a625a5420e3befe93d925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c423d52e9a461300e52a1b6a2f0a369bb856ed31988e38dffb5adf8d4d0a1e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-25T11:58:11Z",
    "title_canon_sha256": "ab13aac50ca3db179dac6172aba2a433a924d4ff2c95e405f672fb8e40914431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.16571",
    "kind": "arxiv",
    "version": 3
  }
}