Pith Number

pith:PCJEHRSH

pith:2025:PCJEHRSH7WMWIXFCIWT54PDVEA

not attested not anchored not stored refs pending

Laplacian eigenvalue distribution and girth of graphs

Dein Wong, Songnian Xu, Wenhao Zhen

arxiv:2504.15772 v2 · 2025-04-22 · 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{PCJEHRSH7WMWIXFCIWT54PDVEA}

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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

Girth and Laplacian eigenvalue distribution

Receipt and verification

First computed	2026-07-05T11:25:09.878411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789243c647fd99645ca245a7de3c75200ba57c1db89483ce73f5d8f29780a051

Aliases

arxiv: 2504.15772 · arxiv_version: 2504.15772v2 · doi: 10.48550/arxiv.2504.15772 · pith_short_12: PCJEHRSH7WMW · pith_short_16: PCJEHRSH7WMWIXFC · pith_short_8: PCJEHRSH

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/PCJEHRSH7WMWIXFCIWT54PDVEA \
  | 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: 789243c647fd99645ca245a7de3c75200ba57c1db89483ce73f5d8f29780a051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085cf19c11bcc027b3d11e6dc3dfd0872d851c25acccbda967a770ef9c226163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-22T10:28:41Z",
    "title_canon_sha256": "b8ddc7ebc2d59544d656bd9c1bbd6f119e78704a921a3389c7bd4e96e83c4f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15772",
    "kind": "arxiv",
    "version": 2
  }
}