Pith Number

pith:YWCEG22T

pith:2015:YWCEG22TV26QWYQJ73NKZHP3AU

not attested not anchored not stored refs pending

Limiting Spectral Distributions of Sums of Products of Non-Hermitian Random Matrices

A. Tikhomirov, H. K\"osters

arxiv:1506.04436 v2 · 2015-06-14 · 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{YWCEG22TV26QWYQJ73NKZHP3AU}

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

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

Receipt and verification

First computed	2026-05-18T01:36:37.894512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c584436b53aebd0b6209fedaac9dfb05035026a608ffd5b4c84e82eedc367ab6

Aliases

arxiv: 1506.04436 · arxiv_version: 1506.04436v2 · doi: 10.48550/arxiv.1506.04436 · pith_short_12: YWCEG22TV26Q · pith_short_16: YWCEG22TV26QWYQJ · pith_short_8: YWCEG22T

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/YWCEG22TV26QWYQJ73NKZHP3AU \
  | 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: c584436b53aebd0b6209fedaac9dfb05035026a608ffd5b4c84e82eedc367ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b790bc69c58ea436360e952cfcf4da0d05c7dd5a68e85025d9dd6fa3bdf4e40a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-14T20:45:18Z",
    "title_canon_sha256": "677643c47861355026fec07712bd5b9d5618d015ee555e1400406771e0225522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04436",
    "kind": "arxiv",
    "version": 2
  }
}