Pith Number

pith:LAEUCRL2

pith:2019:LAEUCRL2G7OGS7RMKFTL3P3LXG

not attested not anchored not stored refs pending

Width Provably Matters in Optimization for Deep Linear Neural Networks

Simon S. Du, Wei Hu

arxiv:1901.08572 v3 · 2019-01-24 · cs.LG · 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{LAEUCRL2G7OGS7RMKFTL3P3LXG}

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	2026-05-17T23:45:04.073174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580941457a37dc697e2c5166bdbf6bb985498dc47874983ef95141166b85d033

Aliases

arxiv: 1901.08572 · arxiv_version: 1901.08572v3 · doi: 10.48550/arxiv.1901.08572 · pith_short_12: LAEUCRL2G7OG · pith_short_16: LAEUCRL2G7OGS7RM · pith_short_8: LAEUCRL2

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/LAEUCRL2G7OGS7RMKFTL3P3LXG \
  | 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: 580941457a37dc697e2c5166bdbf6bb985498dc47874983ef95141166b85d033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3b80f9264e0ed243568ef1b572f16296935ebfcf3d769e741d0bf83d96042c",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-01-24T18:43:16Z",
    "title_canon_sha256": "8c17b45c1ee449286da7708e5b33a295ed164fc7b09bf443c614c743337de021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08572",
    "kind": "arxiv",
    "version": 3
  }
}