Pith Number

pith:F46TUPRC

pith:2014:F46TUPRCSH6XNMEKMQ4GPN3O4K

not attested not anchored not stored refs pending

Concentration Inequalities and Moment Bounds for Sample Covariance Operators

Karim Lounici, Vladimir Koltchinskii

arxiv:1405.2468 v3 · 2014-05-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F46TUPRCSH6XNMEKMQ4GPN3O4K}

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	2026-05-18T02:48:35.878205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3d3a3e2291fd76b08a643867b76ee2ac5ac262ffc2d14e7073bd2cfe6db353

Aliases

arxiv: 1405.2468 · arxiv_version: 1405.2468v3 · doi: 10.48550/arxiv.1405.2468 · pith_short_12: F46TUPRCSH6X · pith_short_16: F46TUPRCSH6XNMEK · pith_short_8: F46TUPRC

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/F46TUPRCSH6XNMEKMQ4GPN3O4K \
  | 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: 2f3d3a3e2291fd76b08a643867b76ee2ac5ac262ffc2d14e7073bd2cfe6db353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d012f4243e08df55a3cf06f2e546f089be4f0574e042f29236c644183d5444a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-10T20:07:50Z",
    "title_canon_sha256": "474bac3fcec03f9b2e6797d2d3749f73826f89265543ab9810b99b6627f0140d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2468",
    "kind": "arxiv",
    "version": 3
  }
}