Pith Number

pith:K7TJAW3C

pith:2017:K7TJAW3CMAHEVYNUQFYLYPCO2A

not attested not anchored not stored refs pending

Dimension-free PAC-Bayesian bounds for matrices, vectors, and linear least squares regression

Ilaria Giulini, Olivier Catoni

arxiv:1712.02747 v2 · 2017-12-07 · 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{K7TJAW3CMAHEVYNUQFYLYPCO2A}

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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.

Cited by

3 papers in Pith

Distribution-robust mean estimation via smoothed random perturbations

A Unified Approach to Robust Mean Estimation

Error bounds of Median-of-means estimators with VC-dimension

Receipt and verification

First computed	2026-05-18T00:26:59.930233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e6905b62600e4ae1b48170bc3c4ed00ae751658968153b19db7e0dbf70e66c

Aliases

arxiv: 1712.02747 · arxiv_version: 1712.02747v2 · doi: 10.48550/arxiv.1712.02747 · pith_short_12: K7TJAW3CMAHE · pith_short_16: K7TJAW3CMAHEVYNU · pith_short_8: K7TJAW3C

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/K7TJAW3CMAHEVYNUQFYLYPCO2A \
  | 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: 57e6905b62600e4ae1b48170bc3c4ed00ae751658968153b19db7e0dbf70e66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8152f272bc507c34c92791a5fd4f6d0fac0c1eaaa305c90a2a041f7e0729a64d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-12-07T17:44:42Z",
    "title_canon_sha256": "87351b9e34a613197275fe27b44ead0ece9165ff447aec027f0856c912a696c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02747",
    "kind": "arxiv",
    "version": 2
  }
}