Pith Number

pith:KRHTZLJY

pith:2020:KRHTZLJYFHIQDV7BUVRV3GQTLH

not attested not anchored not stored refs pending

Neural Mechanics: Symmetry and Broken Conservation Laws in Deep Learning Dynamics

Daniel Kunin, Daniel L.K. Yamins, Hidenori Tanaka, Javier Sagastuy-Brena, Surya Ganguli

arxiv:2012.04728 v2 · 2020-12-08 · cs.LG · cond-mat.dis-nn · cond-mat.stat-mech · 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{KRHTZLJYFHIQDV7BUVRV3GQTLH}

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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

8 papers in Pith

Conservation Laws from Data Symmetry in Neural Networks

Second-Order Path Kernel Interpolation Formulas in Machine Learning

Dead Directions: Geometric Singular Learning

A Theory of Saddle Escape in Deep Nonlinear Networks

SOLAR: A Self-Optimizing Open-Ended Autonomous Agent for Lifelong Learning and Continual Adaptation

Receipt and verification

First computed	2026-07-05T02:26:53.078549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

544f3cad3829d101d7e1a5635d9a1359c154f1bbf15f6ec53782dee1ff822aeb

Aliases

arxiv: 2012.04728 · arxiv_version: 2012.04728v2 · doi: 10.48550/arxiv.2012.04728 · pith_short_12: KRHTZLJYFHIQ · pith_short_16: KRHTZLJYFHIQDV7B · pith_short_8: KRHTZLJY

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/KRHTZLJYFHIQDV7BUVRV3GQTLH \
  | 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: 544f3cad3829d101d7e1a5635d9a1359c154f1bbf15f6ec53782dee1ff822aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80980e9f40f6cdb655d5b5a159a81ebe72c29dab22601bbec577ad63e1389f16",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "q-bio.NC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-08T20:33:30Z",
    "title_canon_sha256": "c2a724abd22932a7999fea160605e343149e9ce9e8f9aa42b108526cd576f04e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04728",
    "kind": "arxiv",
    "version": 2
  }
}