Pith Number

pith:ZPAFPUGY

pith:2025:ZPAFPUGYSY37GHWI7LPWTSVB4L

not attested not anchored not stored refs pending

An Empirical Bernstein Inequality for Dependent Data in Hilbert Spaces and Applications

Andreas Maurer, Erfan Mirzaei, Massimiliano Pontil, Vladimir R. Kostic

arxiv:2507.07826 v1 · 2025-07-10 · 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{ZPAFPUGYSY37GHWI7LPWTSVB4L}

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	2026-07-05T11:35:05.765999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc057d0d89637f31ec8fadf69caa1e2ebfe75c1ff391dc365077d66a777f4ae

Aliases

arxiv: 2507.07826 · arxiv_version: 2507.07826v1 · doi: 10.48550/arxiv.2507.07826 · pith_short_12: ZPAFPUGYSY37 · pith_short_16: ZPAFPUGYSY37GHWI · pith_short_8: ZPAFPUGY

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/ZPAFPUGYSY37GHWI7LPWTSVB4L \
  | 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: cbc057d0d89637f31ec8fadf69caa1e2ebfe75c1ff391dc365077d66a777f4ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6750c113c6ffe43dfdea5e33fd061f43c4b018519a3f6bd70d722dc5fb1e4e3b",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-10T14:58:28Z",
    "title_canon_sha256": "0b77cb72d912a205b16acbcaa3e2660558a39b2618054f0477ad69237e53a228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07826",
    "kind": "arxiv",
    "version": 1
  }
}