Pith Number

pith:CMZBJ3KM

pith:2021:CMZBJ3KMD3HOL2FMWN5KDII5BY

not attested not anchored not stored refs pending

Minimax Optimal Regression over Sobolev Spaces via Laplacian Regularization on Neighborhood Graphs

Alden Green, Ryan J. Tibshirani, Sivaraman Balakrishnan

arxiv:2106.01529 v1 · 2021-06-03 · math.ST · stat.ML · 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{CMZBJ3KMD3HOL2FMWN5KDII5BY}

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	2026-07-05T02:45:52.526727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133214ed4c1ecee5e8acb37aa1a11d0e0f524c5e05265e860edcae4a72d85423

Aliases

arxiv: 2106.01529 · arxiv_version: 2106.01529v1 · doi: 10.48550/arxiv.2106.01529 · pith_short_12: CMZBJ3KMD3HO · pith_short_16: CMZBJ3KMD3HOL2FM · pith_short_8: CMZBJ3KM

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/CMZBJ3KMD3HOL2FMWN5KDII5BY \
  | 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: 133214ed4c1ecee5e8acb37aa1a11d0e0f524c5e05265e860edcae4a72d85423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7844d54d9a9bca067549ed72616493c341fb44ffa09766749c16c9b8d43716c",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-06-03T01:20:41Z",
    "title_canon_sha256": "1cfaee7bf1d15223288cc7acb05d21614c18bd679d68b69bbb34e56022a5d79b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01529",
    "kind": "arxiv",
    "version": 1
  }
}