Pith Number

pith:K3W76T7A

pith:2019:K3W76T7ADH2H4Y3PY6XCZ3JYC6

not attested not anchored not stored refs pending

Surprises in High-Dimensional Ridgeless Least Squares Interpolation

Andrea Montanari, Ryan J. Tibshirani, Saharon Rosset, Trevor Hastie

arxiv:1903.08560 v5 · 2019-03-19 · math.ST · cs.LG · 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{K3W76T7ADH2H4Y3PY6XCZ3JYC6}

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.

Cited by

8 papers in Pith

Eigenvalue Calibration for Semantic Embeddings of Large Language Models

Estimation of High Dimensional Bounded Discrete Graphical Models via Regularized Generalized Score Matching

A Theory on Flow Matching with Neural Networks

Limitations of Lazy Training of Two-layers Neural Networks

Asymmetric Scaling Laws from Sparse Features

Receipt and verification

First computed	2026-07-05T04:55:47.498500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56edff4fe019f47e636fc7ae2ced3817b0ef18781d18b677589cd2fd8ea56f7e

Aliases

arxiv: 1903.08560 · arxiv_version: 1903.08560v5 · doi: 10.48550/arxiv.1903.08560 · pith_short_12: K3W76T7ADH2H · pith_short_16: K3W76T7ADH2H4Y3P · pith_short_8: K3W76T7A

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/K3W76T7ADH2H4Y3PY6XCZ3JYC6 \
  | 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: 56edff4fe019f47e636fc7ae2ced3817b0ef18781d18b677589cd2fd8ea56f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5660e4161a82f0ebd6e9a3201018f980fd679bffefecdc865af2a09a64a4fb06",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-03-19T16:53:11Z",
    "title_canon_sha256": "61eb86a08ad39c8c4f5d1627b609331297b197cc695cb498f81187aee180557e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08560",
    "kind": "arxiv",
    "version": 5
  }
}