Pith Number

pith:EZZX25T4

pith:2021:EZZX25T4L2KPP4F4Q2OXJK66A5

not attested not anchored not stored refs pending

The limit empirical spectral distribution of complex matrix polynomials

Giovanni Barbarino, Vanni Noferini

arxiv:2102.02058 v3 · 2021-02-03 · 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{EZZX25T4L2KPP4F4Q2OXJK66A5}

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

1 paper in Pith

Logarithmic Spectral Distribution of a Non-Hermitian $\beta$-Ensemble

Receipt and verification

First computed	2026-07-05T03:58:01.286053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26737d767c5e94f7f0bc869d74abde0744f1ec7d17ddefe180ce220446ef6a92

Aliases

arxiv: 2102.02058 · arxiv_version: 2102.02058v3 · doi: 10.48550/arxiv.2102.02058 · pith_short_12: EZZX25T4L2KP · pith_short_16: EZZX25T4L2KPP4F4 · pith_short_8: EZZX25T4

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/EZZX25T4L2KPP4F4Q2OXJK66A5 \
  | 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: 26737d767c5e94f7f0bc869d74abde0744f1ec7d17ddefe180ce220446ef6a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f87eba2b1bbc117f771bfd7a964b062c8f0547f47330c68a2d903a7e8b414d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-02-03T13:40:00Z",
    "title_canon_sha256": "c0ecfc682b586c1b324fdc2ccfcfc671a115d0949ecdb91887f8ce6711703379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02058",
    "kind": "arxiv",
    "version": 3
  }
}