Pith Number

pith:VJ7UHRZS

pith:2026:VJ7UHRZS55HDFUFNDJ5CTJUNZT

not attested not anchored not stored refs pending

A Concentration Inequality for the Covariance Matrix of an Arbitrary Subset of Random Vectors

Huikang Liu, Laura Balzano, Peng Wang

arxiv:2606.24766 v1 · 2026-06-23 · math.ST · math.OC · 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{VJ7UHRZS55HDFUFNDJ5CTJUNZT}

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	2026-06-24T01:15:41.661037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7f43c732ef4e32d0ad1a7a29a68dccf3f14ec414cdf2970c8b324d971739e8

Aliases

arxiv: 2606.24766 · arxiv_version: 2606.24766v1 · doi: 10.48550/arxiv.2606.24766 · pith_short_12: VJ7UHRZS55HD · pith_short_16: VJ7UHRZS55HDFUFN · pith_short_8: VJ7UHRZS

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/VJ7UHRZS55HDFUFNDJ5CTJUNZT \
  | 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: aa7f43c732ef4e32d0ad1a7a29a68dccf3f14ec414cdf2970c8b324d971739e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2eb53866dddacf634a00218069400fb982cc48f79df333944a12fd7d29cc217",
    "cross_cats_sorted": [
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-23T16:26:55Z",
    "title_canon_sha256": "e7bef1a1d04aba29f9ab62fbc8110dc6902a31a25f8c90cc3cc7257689e86170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24766",
    "kind": "arxiv",
    "version": 1
  }
}