Pith Number

pith:GZ5V7KU5

pith:2025:GZ5V7KU5JT7EFFEPXKDTFZORJJ

not attested not anchored not stored refs pending

SETOL: A Semi-Empirical Theory of (Deep) Learning

Charles H Martin, Christopher Hinrichs

arxiv:2507.17912 v2 · 2025-07-23 · cs.LG · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ5V7KU5JT7EFFEPXKDTFZORJJ}

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

6 papers in Pith

Patnaik-Pearson intrinsic dimension for internal representations of neural networks

Fast Generalization after Interpolation via Critically Damped Momentum Optimization

Characterizing Learning in Deep Neural Networks using Tractable Algorithmic Complexity Analysis

Detecting overfitting in Neural Networks during long-horizon grokking using Random Matrix Theory

Receipt and verification

First computed	2026-07-05T11:44:10.955712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367b5faa9d4cfe42948fba8732e5d14a42f4e4c2001d480347115a6180ba725f

Aliases

arxiv: 2507.17912 · arxiv_version: 2507.17912v2 · doi: 10.48550/arxiv.2507.17912 · pith_short_12: GZ5V7KU5JT7E · pith_short_16: GZ5V7KU5JT7EFFEP · pith_short_8: GZ5V7KU5

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/GZ5V7KU5JT7EFFEPXKDTFZORJJ \
  | 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: 367b5faa9d4cfe42948fba8732e5d14a42f4e4c2001d480347115a6180ba725f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d470667ecb14c5ddf35f1d6288268697062879b8d49235858e657f3374be5173",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-23T20:22:20Z",
    "title_canon_sha256": "71bd8c73db9ccfb90c313c764ddf15bf3e1158e4cdc2e89bcd3a3ce56b5bb58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17912",
    "kind": "arxiv",
    "version": 2
  }
}