Pith Number

pith:PHMUCXND

pith:2024:PHMUCXND6RJVOCFPG4DH3XPIT7

not attested not anchored not stored refs pending

A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models

Guang Cheng, Namjoon Suh

arxiv:2401.07187 v3 · 2024-01-14 · stat.ML · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHMUCXND6RJVOCFPG4DH3XPIT7}

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	2026-07-05T09:07:25.823153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d9415da3f4535708af37067ddde89ff380e821322b2428ac0ab160f8ec9dff

Aliases

arxiv: 2401.07187 · arxiv_version: 2401.07187v3 · doi: 10.48550/arxiv.2401.07187 · pith_short_12: PHMUCXND6RJV · pith_short_16: PHMUCXND6RJVOCFP · pith_short_8: PHMUCXND

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/PHMUCXND6RJVOCFPG4DH3XPIT7 \
  | 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: 79d9415da3f4535708af37067ddde89ff380e821322b2428ac0ab160f8ec9dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9820c1fb14ce0d28560c237ec831d81d6bcb9f7e3c4f888f8c0e51ecdde839",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-01-14T02:30:19Z",
    "title_canon_sha256": "f4f7b08b0dccaaab5318e9cffd0f5a3c0c098a5efec0072ae7cfadd11b9b7ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.07187",
    "kind": "arxiv",
    "version": 3
  }
}