Pith Number

pith:PQZDIVIS

pith:2022:PQZDIVIS46N54ZK2O7RLVPZQXH

not attested not anchored not stored refs pending

Improved Convergence Guarantees for Shallow Neural Networks

Alexander Razborov

arxiv:2212.02323 v1 · 2022-12-05 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQZDIVIS46N54ZK2O7RLVPZQXH}

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

1 paper in Pith

A Classical View on Benign Overfitting: The Role of Sample Size

Receipt and verification

First computed	2026-07-05T05:22:23.093892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c32345512e79bde655a77e2babf30b9e332bbe1f7463d6db4633c70d7488e42

Aliases

arxiv: 2212.02323 · arxiv_version: 2212.02323v1 · doi: 10.48550/arxiv.2212.02323 · pith_short_12: PQZDIVIS46N5 · pith_short_16: PQZDIVIS46N54ZK2 · pith_short_8: PQZDIVIS

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/PQZDIVIS46N54ZK2O7RLVPZQXH \
  | 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: 7c32345512e79bde655a77e2babf30b9e332bbe1f7463d6db4633c70d7488e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded821f363f4772ea7932eead4a90316a5f5bcf6843bbb678cf60381b9094d7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-12-05T14:47:52Z",
    "title_canon_sha256": "c7bdbd99488795bbfd5cad273418a66ad0fbca7b5071d69ef804ac0a2cf7f61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02323",
    "kind": "arxiv",
    "version": 1
  }
}