Pith Number

pith:BUY6ZYX3

pith:2019:BUY6ZYX3KLRCBY46EV2WMZP4WB

not attested not anchored not stored refs pending

Quadratic Suffices for Over-parametrization via Matrix Chernoff Bound

Xin Yang, Zhao Song

arxiv:1906.03593 v2 · 2019-06-09 · 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{BUY6ZYX3KLRCBY46EV2WMZP4WB}

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

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime

Receipt and verification

First computed	2026-07-05T00:41:29.789804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d31ece2fb52e220e39e25756665fcb04b16583fd6643d3e0ddd511072bb45e3

Aliases

arxiv: 1906.03593 · arxiv_version: 1906.03593v2 · doi: 10.48550/arxiv.1906.03593 · pith_short_12: BUY6ZYX3KLRC · pith_short_16: BUY6ZYX3KLRCBY46 · pith_short_8: BUY6ZYX3

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/BUY6ZYX3KLRCBY46EV2WMZP4WB \
  | 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: 0d31ece2fb52e220e39e25756665fcb04b16583fd6643d3e0ddd511072bb45e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6aa088a733f1aea8829e8e77d2d1d2c4957ba8c2dff7d71421546df0d9055b",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-06-09T08:36:35Z",
    "title_canon_sha256": "ebbae802fc408e4a70c4f64ef15842f721c444a03524a4b2fc44c486cfdd4e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03593",
    "kind": "arxiv",
    "version": 2
  }
}