Pith Number

pith:HSPZCKND

pith:2014:HSPZCKNDA5YEZTQHQ3JQXHLGQV

not attested not anchored not stored refs pending

On Random Operator-Valued Matrices: Operator-Valued Semicircular Mixtures and Central Limit Theorem

Mario Diaz

arxiv:1410.3500 v1 · 2014-10-13 · math.PR · 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{HSPZCKNDA5YEZTQHQ3JQXHLGQV}

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	2026-05-18T02:40:09.643820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9f9129a307704cce0786d30b9d66856547f98bd4f475e03f116c6299b00ea7

Aliases

arxiv: 1410.3500 · arxiv_version: 1410.3500v1 · doi: 10.48550/arxiv.1410.3500 · pith_short_12: HSPZCKNDA5YE · pith_short_16: HSPZCKNDA5YEZTQH · pith_short_8: HSPZCKND

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/HSPZCKNDA5YEZTQHQ3JQXHLGQV \
  | 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: 3c9f9129a307704cce0786d30b9d66856547f98bd4f475e03f116c6299b00ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7d86fcf342c890ed4d6a51ac6e71b6990a5e42816aa3a2ced8ac0095222154",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-13T20:16:00Z",
    "title_canon_sha256": "84f90f739e6232c2e27629ac7e4d039ec326e1e18b6a99eda546ae051c64f5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3500",
    "kind": "arxiv",
    "version": 1
  }
}