Pith Number

pith:N3IDXNM7

pith:2024:N3IDXNM7TYBCPPQIQQMYEYQ4YI

not attested not anchored not stored refs pending

4+3 Phases of Compute-Optimal Neural Scaling Laws

Courtney Paquette, Elliot Paquette, Jeffrey Pennington, Lechao Xiao

arxiv:2405.15074 v3 · 2024-05-23 · stat.ML · cs.LG · math.OC · math.PR · 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{N3IDXNM7TYBCPPQIQQMYEYQ4YI}

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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

2 papers in Pith

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

SynthPert: Enhancing LLM Biological Reasoning via Synthetic Reasoning Traces for Cellular Perturbation Prediction

Receipt and verification

First computed	2026-07-05T10:51:03.664345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ed03bb59f9e0227be08841982621cc20fae27b3cdc3a8debde207d90b816919

Aliases

arxiv: 2405.15074 · arxiv_version: 2405.15074v3 · doi: 10.48550/arxiv.2405.15074 · pith_short_12: N3IDXNM7TYBC · pith_short_16: N3IDXNM7TYBCPPQI · pith_short_8: N3IDXNM7

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/N3IDXNM7TYBCPPQIQQMYEYQ4YI \
  | 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: 6ed03bb59f9e0227be08841982621cc20fae27b3cdc3a8debde207d90b816919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d80a48d91e9915a4aac8a3c43770de105b2da0a8dbe5d50aa05033269c82e476",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-05-23T21:50:54Z",
    "title_canon_sha256": "23e4b19de055bc9f89621367eeb257c781d803a522879661347bca5a5de20c93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.15074",
    "kind": "arxiv",
    "version": 3
  }
}