Pith Number

pith:XPHPVTNM

pith:2020:XPHPVTNMRTQUB7QIDK4N53MI4G

not attested not anchored not stored refs pending

The large learning rate phase of deep learning: the catapult mechanism

Aitor Lewkowycz, Ethan Dyer, Guy Gur-Ari, Jascha Sohl-Dickstein, Yasaman Bahri

arxiv:2003.02218 v1 · 2020-03-04 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPHPVTNMRTQUB7QIDK4N53MI4G}

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

24 papers in Pith

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime

Gradient-Descent Steps to Success over Mean Accuracy: A Paradigm Shift for ML

Edge Flow: A Tractable and Predictive Continuous-Time Model for Gradient Descent at the Edge of Stability

Edge of Stability Selectively Shapes Learning Across the Data Distribution

Accurate Large-sample Uncertainty Quantification using Stochastic Gradient Markov Chain Monte Carlo

Receipt and verification

First computed	2026-07-05T00:45:47.918590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbcefacdac8ce140fe081ab8deed88e18851306c0a8c79dc7f496c5c6e229a2f

Aliases

arxiv: 2003.02218 · arxiv_version: 2003.02218v1 · doi: 10.48550/arxiv.2003.02218 · pith_short_12: XPHPVTNMRTQU · pith_short_16: XPHPVTNMRTQUB7QI · pith_short_8: XPHPVTNM

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/XPHPVTNMRTQUB7QIDK4N53MI4G \
  | 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: bbcefacdac8ce140fe081ab8deed88e18851306c0a8c79dc7f496c5c6e229a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6768c0bc8a5e018209c1cab584cdfb1ddee2db971b490e82d1235977ac57bcaf",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-03-04T17:52:48Z",
    "title_canon_sha256": "43c27608e8e0be6224be8e550a4472b8d31ca4eb0fdf7b3b68deebe9e9bbb55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.02218",
    "kind": "arxiv",
    "version": 1
  }
}