Pith Number

pith:C47NKX6F

pith:2017:C47NKX6FDQ32V3JZUQOLSJC5M3

not attested not anchored not stored refs pending

Outliers in the spectrum for products of independent random matrices

Natalie Coston, Philip Matchett Wood, Sean O'Rourke

arxiv:1711.07420 v1 · 2017-11-20 · 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{C47NKX6FDQ32V3JZUQOLSJC5M3}

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.

Cited by

2 papers in Pith

Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices

Early Anomaly Detection in Power Systems Based on Random Matrix Theory

Receipt and verification

First computed	2026-05-18T00:30:10.231137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

173ed55fc51c37aaed39a41cb9245d66e4af4fc659345d41fc466b4aeef4cffd

Aliases

arxiv: 1711.07420 · arxiv_version: 1711.07420v1 · doi: 10.48550/arxiv.1711.07420 · pith_short_12: C47NKX6FDQ32 · pith_short_16: C47NKX6FDQ32V3JZ · pith_short_8: C47NKX6F

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/C47NKX6FDQ32V3JZUQOLSJC5M3 \
  | 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: 173ed55fc51c37aaed39a41cb9245d66e4af4fc659345d41fc466b4aeef4cffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb8005077d93ddabdb82632621a14cc6b23a6d53907652f5f61cf8f700f620b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-20T17:21:28Z",
    "title_canon_sha256": "47055e21df6f7127c02f811b7f30b6cb0c8bd11cb85da4390e5b888e72c320e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07420",
    "kind": "arxiv",
    "version": 1
  }
}