Pith Number

pith:LLTCNPBQ

pith:2024:LLTCNPBQPTMZAO6U4VNJIMRJEE

not attested not anchored not stored refs pending

Scaling Laws in Linear Regression: Compute, Parameters, and Data

Jason D. Lee, Jingfeng Wu, Licong Lin, Peter L. Bartlett, Sham M. Kakade

arxiv:2406.08466 v3 · 2024-06-12 · cs.LG · cs.AI · 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{LLTCNPBQPTMZAO6U4VNJIMRJEE}

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

2 papers in Pith

Two-Point Deterministic Equivalence for Stochastic Gradient Dynamics in Linear Models

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory

Receipt and verification

First computed	2026-07-05T11:18:38.985582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae626bc307cd9903bd4e55a943229210daa55f54ac289e310f77468e9144fbf

Aliases

arxiv: 2406.08466 · arxiv_version: 2406.08466v3 · doi: 10.48550/arxiv.2406.08466 · pith_short_12: LLTCNPBQPTMZ · pith_short_16: LLTCNPBQPTMZAO6U · pith_short_8: LLTCNPBQ

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/LLTCNPBQPTMZAO6U4VNJIMRJEE \
  | 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: 5ae626bc307cd9903bd4e55a943229210daa55f54ac289e310f77468e9144fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0084418f0acd53d47b3408f16c8d4b9c6efff1118cfb77d5e02ccc7ad4b6c12",
    "cross_cats_sorted": [
      "cs.AI",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-12T17:53:29Z",
    "title_canon_sha256": "3faf975edd35ca73cd5556289bfca77529619e3841b56f275657d76b9bc483d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.08466",
    "kind": "arxiv",
    "version": 3
  }
}