Pith Number

pith:ORWSJB5A

pith:2015:ORWSJB5AEZQYU4FKJRWPTVAHLN

not attested not anchored not stored refs pending

Free probability of type B and asymptotics of finite-rank perturbations of random matrices

D. Shlyakhtenko

arxiv:1509.08841 v1 · 2015-09-29 · math.PR · math.OA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORWSJB5AEZQYU4FKJRWPTVAHLN}

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

Polynomials on cyclic monotone elements with applications to random matrices with discrete spectrum

Receipt and verification

First computed	2026-05-18T01:31:46.977714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

746d2487a026618a70aa4c6cf9d4075b7cad508d70279c7b39382f7ec55b7027

Aliases

arxiv: 1509.08841 · arxiv_version: 1509.08841v1 · doi: 10.48550/arxiv.1509.08841 · pith_short_12: ORWSJB5AEZQY · pith_short_16: ORWSJB5AEZQYU4FK · pith_short_8: ORWSJB5A

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/ORWSJB5AEZQYU4FKJRWPTVAHLN \
  | 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: 746d2487a026618a70aa4c6cf9d4075b7cad508d70279c7b39382f7ec55b7027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14d791d05983649623f175165da87461b9bfca9bf7093aa991437b97e7b0749b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-29T16:42:13Z",
    "title_canon_sha256": "5e68bd402a73c56ccba997cc7d39f4bb4eeba1f71002209968880d542d749f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08841",
    "kind": "arxiv",
    "version": 1
  }
}