Pith Number

pith:Q2JM4KEG

pith:2022:Q2JM4KEGMJD6VF6U47PANE7PJG

not attested not anchored not stored refs pending

Extreme eigenvalues of Laplacian random matrices with Gaussian entries

Andrew Campbell, Kyle Luh, Santiago Arenas-Velilla, Sean O'Rourke, Victor P\'erez-Abreu

arxiv:2211.17175 v2 · 2022-11-30 · math.PR

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\usepackage{pith}
\pithnumber{Q2JM4KEGMJD6VF6U47PANE7PJG}

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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

Eigenvalue gaps of the Laplacian of random graphs

Receipt and verification

First computed	2026-07-05T08:56:55.062994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8692ce28866247ea97d4e7de0693ef49b0beb7e98c1b405aa2839b8dd58eb0a1

Aliases

arxiv: 2211.17175 · arxiv_version: 2211.17175v2 · doi: 10.48550/arxiv.2211.17175 · pith_short_12: Q2JM4KEGMJD6 · pith_short_16: Q2JM4KEGMJD6VF6U · pith_short_8: Q2JM4KEG

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/Q2JM4KEGMJD6VF6U47PANE7PJG \
  | 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: 8692ce28866247ea97d4e7de0693ef49b0beb7e98c1b405aa2839b8dd58eb0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c73541bb1ef6a238d66a1704d14f36df44a94911f93be4258ee898cfd13ac63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-30T17:20:24Z",
    "title_canon_sha256": "6a52047ad45635828521a66a3cf883b79b4d3e6489700429224551f0ecc46edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.17175",
    "kind": "arxiv",
    "version": 2
  }
}