Pith Number

pith:4LYXWUIQ

pith:2013:4LYXWUIQT54XZQ5VC2XUC77MLC

not attested not anchored not stored refs pending

Exact solutions to the nonlinear dynamics of learning in deep linear neural networks

Andrew M. Saxe, James L. McClelland, Surya Ganguli

arxiv:1312.6120 v3 · 2013-12-20 · cs.NE · cond-mat.dis-nn · cs.CV · cs.LG · q-bio.NC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LYXWUIQT54XZQ5VC2XUC77MLC}

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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

37 papers in Pith

Uncovering the Latent Potential of Deep Intermediate Representations

Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape

Discrete Cosine Transform Based Decorrelated Attention for Vision Transformers

An Analytical Theory of Spectral Bias in the Learning Dynamics of Diffusion Models

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer

Receipt and verification

First computed	2026-05-18T02:58:34.282675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f17b51109f797cc3b516af417fec58bca3da720bec2e31904de48c7586a89c

Aliases

arxiv: 1312.6120 · arxiv_version: 1312.6120v3 · doi: 10.48550/arxiv.1312.6120 · pith_short_12: 4LYXWUIQT54X · pith_short_16: 4LYXWUIQT54XZQ5V · pith_short_8: 4LYXWUIQ

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/4LYXWUIQT54XZQ5VC2XUC77MLC \
  | 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: e2f17b51109f797cc3b516af417fec58bca3da720bec2e31904de48c7586a89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "420755b6a13adf908b01f74f367405d27a9467e81378b61293338b9a5e413f38",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.CV",
      "cs.LG",
      "q-bio.NC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2013-12-20T20:24:00Z",
    "title_canon_sha256": "dada7c67511e83bc201c79bd43baa0b2a4715e0f172b113d56cd793a54041f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6120",
    "kind": "arxiv",
    "version": 3
  }
}