Pith Number

pith:I2GX4YZA

pith:2024:I2GX4YZAMVBIJAGZLJBO2O2BIP

not attested not anchored not stored refs pending

Lecture Notes on Linear Neural Networks: A Tale of Optimization and Generalization in Deep Learning

Nadav Cohen, Noam Razin

arxiv:2408.13767 v2 · 2024-08-25 · cs.LG · cs.AI · 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{I2GX4YZAMVBIJAGZLJBO2O2BIP}

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.

Receipt and verification

First computed	2026-07-05T09:31:48.344433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468d7e632065428480d95a42ed3b4143edf1be7a2a2753a830a22eb5945e47a2

Aliases

arxiv: 2408.13767 · arxiv_version: 2408.13767v2 · doi: 10.48550/arxiv.2408.13767 · pith_short_12: I2GX4YZAMVBI · pith_short_16: I2GX4YZAMVBIJAGZ · pith_short_8: I2GX4YZA

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/I2GX4YZAMVBIJAGZLJBO2O2BIP \
  | 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: 468d7e632065428480d95a42ed3b4143edf1be7a2a2753a830a22eb5945e47a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534138859bf8c80f960ddb5bad9b9fe30dac7c906167020fc513bed42a1b3437",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-25T08:24:48Z",
    "title_canon_sha256": "af16cb2b8e38ad65fa2068e452910525688ef8f48ee293e5641d33ced1d4b55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.13767",
    "kind": "arxiv",
    "version": 2
  }
}