Pith Number

pith:2R3QPIV7

pith:2024:2R3QPIV7JNTMAA77WGKAQNNNJ4

not attested not anchored not stored refs pending

On the spectral edge of non-Hermitian random matrices

Andrew Campbell, Giorgio Cipolloni, Hong Chang Ji, L\'aszl\'o Erd\H{o}s

arxiv:2404.17512 v4 · 2024-04-26 · 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{2R3QPIV7JNTMAA77WGKAQNNNJ4}

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

Brown measures of deformed $L^\infty$-valued circular elements

Local laws and spectral properties of deformed sparse random matrices

Receipt and verification

First computed	2026-07-05T11:35:28.978490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d47707a2bf4b66c003ffb1940835ad4f216a6aca35995a3934176677057edcc0

Aliases

arxiv: 2404.17512 · arxiv_version: 2404.17512v4 · doi: 10.48550/arxiv.2404.17512 · pith_short_12: 2R3QPIV7JNTM · pith_short_16: 2R3QPIV7JNTMAA77 · pith_short_8: 2R3QPIV7

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/2R3QPIV7JNTMAA77WGKAQNNNJ4 \
  | 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: d47707a2bf4b66c003ffb1940835ad4f216a6aca35995a3934176677057edcc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c00f0df8f7d6adc052f52eba90b54118f06434c5f56af882e1f0e2514e27567",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-04-26T16:27:24Z",
    "title_canon_sha256": "a77e4384612e02ec604e74913611a81b07663634f82b25bc0529b505890f76ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.17512",
    "kind": "arxiv",
    "version": 4
  }
}