Pith Number

pith:6ZTQJG7K

pith:2019:6ZTQJG7KSNFFLY3TDZ4AMSMKW5

not attested not anchored not stored refs pending

Theory of the Frequency Principle for General Deep Neural Networks

Tao Luo, Yaoyu Zhang, Zheng Ma, Zhi-Qin John Xu

arxiv:1906.09235 v2 · 2019-06-21 · cs.LG · math.OC · 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{6ZTQJG7KSNFFLY3TDZ4AMSMKW5}

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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

2 papers in Pith

A Greedy PDE Router for Blending Neural Operators and Classical Methods

Neural Spectral Bias and Conformal Correlators I: Introduction and Applications

Receipt and verification

First computed	2026-05-17T23:41:41.725764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f667049bea934a55e3731e7806498ab75fe689b65cd1b7a0f2471cf23eb43bfd

Aliases

arxiv: 1906.09235 · arxiv_version: 1906.09235v2 · doi: 10.48550/arxiv.1906.09235 · pith_short_12: 6ZTQJG7KSNFF · pith_short_16: 6ZTQJG7KSNFFLY3T · pith_short_8: 6ZTQJG7K

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/6ZTQJG7KSNFFLY3TDZ4AMSMKW5 \
  | 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: f667049bea934a55e3731e7806498ab75fe689b65cd1b7a0f2471cf23eb43bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b46f3bba0ef873ae0a15819f17d45d475fc9b5a5927917a656a91756d77d5bc",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-06-21T16:46:04Z",
    "title_canon_sha256": "61d645102792e881594b04fdc11e0dcc33014ded13e658811775052ccc93f9a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09235",
    "kind": "arxiv",
    "version": 2
  }
}