Pith Number

pith:BJHLMVYG

pith:2022:BJHLMVYGL6U65HQPSUGL5T7OZZ

not attested not anchored not stored refs pending

Dimension-free Bounds for Sum of Dependent Matrices and Operators with Heavy-Tailed Distribution

Masaaki Imaizumi, Pierre Alquier, Shogo Nakakita

arxiv:2210.09756 v3 · 2022-10-18 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJHLMVYGL6U65HQPSUGL5T7OZZ}

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	2026-07-05T11:26:40.429753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4eb657065fa9ee9e0f950cbecfeece6575e5fe9f5025517a1bd2ce18c0e42c

Aliases

arxiv: 2210.09756 · arxiv_version: 2210.09756v3 · doi: 10.48550/arxiv.2210.09756 · pith_short_12: BJHLMVYGL6U6 · pith_short_16: BJHLMVYGL6U65HQP · pith_short_8: BJHLMVYG

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/BJHLMVYGL6U65HQPSUGL5T7OZZ \
  | 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: 0a4eb657065fa9ee9e0f950cbecfeece6575e5fe9f5025517a1bd2ce18c0e42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ad4106bde420067e466a0d031135205a624789640144ee79424501119261dd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-10-18T11:12:02Z",
    "title_canon_sha256": "3130bf6c16e1ac4a0851722e76ff3a717abcf86bd12c4b53cf65fe196843239e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09756",
    "kind": "arxiv",
    "version": 3
  }
}