Pith Number

pith:GGUESP5U

pith:2021:GGUESP5U2V42T7WWB27QBTG5LH

not attested not anchored not stored refs pending

Frequency Principle in Deep Learning Beyond Gradient-descent-based Training

Jiwei Zhang, Yuheng Ma, Zhi-Qin John Xu

arxiv:2101.00747 v1 · 2021-01-04 · 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{GGUESP5U2V42T7WWB27QBTG5LH}

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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

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs

Receipt and verification

First computed	2026-07-05T02:04:21.297809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a8493fb4d579a9fed60ebf00ccdd59e100ad2448c999ee2e5cc09394b3a452

Aliases

arxiv: 2101.00747 · arxiv_version: 2101.00747v1 · doi: 10.48550/arxiv.2101.00747 · pith_short_12: GGUESP5U2V42 · pith_short_16: GGUESP5U2V42T7WW · pith_short_8: GGUESP5U

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/GGUESP5U2V42T7WWB27QBTG5LH \
  | 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: 31a8493fb4d579a9fed60ebf00ccdd59e100ad2448c999ee2e5cc09394b3a452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3247c59678899cc82ee6e742b62308b13ccad08cc0b745b2910c8a3c755d743",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-01-04T03:11:03Z",
    "title_canon_sha256": "8d0e4c22b49e316d4546cc4b89e87e151cb9cf9295e7143a0bb71a483ca3cef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00747",
    "kind": "arxiv",
    "version": 1
  }
}