Pith Number

pith:XC3YJWVP

pith:2018:XC3YJWVP4W3FPUC7FKKWP6NDAW

not attested not anchored not stored refs pending

Hanson-Wright inequality in Hilbert spaces with application to $K$-means clustering for non-Euclidean data

Xiaohui Chen, Yun Yang

arxiv:1810.11180 v3 · 2018-10-26 · math.ST · math.PR · 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{XC3YJWVP4W3FPUC7FKKWP6NDAW}

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	2026-07-05T01:17:05.775672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b784daafe5b657d05f2a9567f9a305973e671cf00d7e2890bda8fc3ab0dfc4

Aliases

arxiv: 1810.11180 · arxiv_version: 1810.11180v3 · doi: 10.48550/arxiv.1810.11180 · pith_short_12: XC3YJWVP4W3F · pith_short_16: XC3YJWVP4W3FPUC7 · pith_short_8: XC3YJWVP

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/XC3YJWVP4W3FPUC7FKKWP6NDAW \
  | 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: b8b784daafe5b657d05f2a9567f9a305973e671cf00d7e2890bda8fc3ab0dfc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "604c50083fff04928bb99be3d92ee677cd7170d03266263ebad4a5b7a6a92a29",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-10-26T03:55:54Z",
    "title_canon_sha256": "9bb0acdb1f7da4287c83ac62d5d5b14fc6f05ffc08d1e1f9133bcca921dff7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11180",
    "kind": "arxiv",
    "version": 3
  }
}