Pith Number

pith:7H3WFQK2

pith:2023:7H3WFQK2XUWYVBZKYFG3ELCJQR

not attested not anchored not stored refs pending

From dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis

Hajo Holzmann, Max Berger, Philipp Hermann

arxiv:2306.04550 v2 · 2023-06-07 · 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{7H3WFQK2XUWYVBZKYFG3ELCJQR}

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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

1 paper in Pith

Prokhorov Metric Convergence of the Partial Sum Process for Reconstructed Functional Data

Receipt and verification

First computed	2026-07-05T08:16:41.524746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f762c15abd2d8a872ac14db22c498450ee075dc49e0e2e05fd08ab9a5a01b4

Aliases

arxiv: 2306.04550 · arxiv_version: 2306.04550v2 · doi: 10.48550/arxiv.2306.04550 · pith_short_12: 7H3WFQK2XUWY · pith_short_16: 7H3WFQK2XUWYVBZK · pith_short_8: 7H3WFQK2

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/7H3WFQK2XUWYVBZKYFG3ELCJQR \
  | 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: f9f762c15abd2d8a872ac14db22c498450ee075dc49e0e2e05fd08ab9a5a01b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154e342ed313707f5da2403fbc544ff59cac346be334d68cffa7b194c6092d06",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-06-07T15:55:33Z",
    "title_canon_sha256": "5ce642ff6c5fdbf541fa3c3067c68d8a6c6eef69b4e369a4924f7b801e689321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04550",
    "kind": "arxiv",
    "version": 2
  }
}