Pith Number

pith:HANQPE3D

pith:2011:HANQPE3DMPOQ33KQYEC4L7Z6G7

not attested not anchored not stored refs pending

Dimension-free tail inequalities for sums of random matrices

Daniel Hsu, Sham M. Kakade, Tong Zhang

arxiv:1104.1672 v3 · 2011-04-09 · math.PR · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HANQPE3DMPOQ33KQYEC4L7Z6G7}

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	2026-05-18T04:22:10.127678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381b07936363dd0ded50c105c5ff3e37fdfe96b2e4b63884303c07b0be2a883b

Aliases

arxiv: 1104.1672 · arxiv_version: 1104.1672v3 · doi: 10.48550/arxiv.1104.1672 · pith_short_12: HANQPE3DMPOQ · pith_short_16: HANQPE3DMPOQ33KQ · pith_short_8: HANQPE3D

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/HANQPE3DMPOQ33KQYEC4L7Z6G7 \
  | 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: 381b07936363dd0ded50c105c5ff3e37fdfe96b2e4b63884303c07b0be2a883b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01dd9a4da7a1aa23a6792405c890b88f29d6eaaec34ca239c4ce5dd965a6c8a2",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-09T04:25:04Z",
    "title_canon_sha256": "fbdd97f440c3a8b03211d5dc051d3ba3bc3f3c02996f5ff4ee1c57dfcc95a992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1672",
    "kind": "arxiv",
    "version": 3
  }
}