Pith Number

pith:75GTAY6V

pith:2020:75GTAY6VAHM3DJU6ND2MAJAXB3

not attested not anchored not stored refs pending

A Random Matrix Analysis of Random Fourier Features: Beyond the Gaussian Kernel, a Precise Phase Transition, and the Corresponding Double Descent

Michael W. Mahoney, Romain Couillet, Zhenyu Liao

arxiv:2006.05013 v2 · 2020-06-09 · stat.ML · 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{75GTAY6VAHM3DJU6ND2MAJAXB3}

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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

Dimension-adapted Momentum Outscales SGD

Receipt and verification

First computed	2026-07-05T03:46:55.620153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4d3063d501d9b1a69e68f4c024170ec6d9cee1784c89a40bf4f411f101d308

Aliases

arxiv: 2006.05013 · arxiv_version: 2006.05013v2 · doi: 10.48550/arxiv.2006.05013 · pith_short_12: 75GTAY6VAHM3 · pith_short_16: 75GTAY6VAHM3DJU6 · pith_short_8: 75GTAY6V

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/75GTAY6VAHM3DJU6ND2MAJAXB3 \
  | 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: ff4d3063d501d9b1a69e68f4c024170ec6d9cee1784c89a40bf4f411f101d308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de8ff74be7605262fea1c133f91f12dc7becce11388f42d397ab73721093069",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-06-09T02:05:40Z",
    "title_canon_sha256": "34d7d0ee1651ad1fa7daf6bed59cb8c0dc6d4f46cfc638b932576e24cd274798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.05013",
    "kind": "arxiv",
    "version": 2
  }
}