Pith Number

pith:6WMN5RAT

pith:2013:6WMN5RATOBV5CEUPVUN5MNYRUK

not attested not anchored not stored refs pending

Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem

Roland Speicher, Serban Belinschi, Tobias Mai

arxiv:1303.3196 v3 · 2013-03-13 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WMN5RATOBV5CEUPVUN5MNYRUK}

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.

Receipt and verification

First computed	2026-05-18T03:14:30.373855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f598dec413706bd1128fad1bd63711a2af27e0ec7ff624e97f117445eba952db

Aliases

arxiv: 1303.3196 · arxiv_version: 1303.3196v3 · doi: 10.48550/arxiv.1303.3196 · pith_short_12: 6WMN5RATOBV5 · pith_short_16: 6WMN5RATOBV5CEUP · pith_short_8: 6WMN5RAT

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/6WMN5RATOBV5CEUPVUN5MNYRUK \
  | 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: f598dec413706bd1128fad1bd63711a2af27e0ec7ff624e97f117445eba952db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc3b77b01721ba1480af7f4a75228815e5981c0a9ae9ea1893c0c8cdb5ac6a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-13T15:55:28Z",
    "title_canon_sha256": "81cd195fa8ec874d3888a16aa812a4de12f9f2586b8b46f70e04e8c57fbfe201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3196",
    "kind": "arxiv",
    "version": 3
  }
}