Pith Number

pith:VT47ORQQ

pith:2018:VT47ORQQZ5XDGDH7W77RPP4BDB

not attested not anchored not stored refs pending

Understanding training and generalization in deep learning by Fourier analysis

Zhiqin John Xu

arxiv:1808.04295 v4 · 2018-08-13 · cs.LG · cs.AI · math.OC · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VT47ORQQZ5XDGDH7W77RPP4BDB}

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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

4 papers in Pith

Theory of the Frequency Principle for General Deep Neural Networks

Deep sequence models tend to memorize geometrically; it is unclear why

Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems

Spectral Energy Centroid: a Metric for Improving Performance and Analyzing Spectral Bias in Implicit Neural Representations

Receipt and verification

First computed	2026-05-17T23:59:38.456614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf9f74610cf6e330cffb7ff17bf81185dbb9cf98f4261a7997d61684d64a411

Aliases

arxiv: 1808.04295 · arxiv_version: 1808.04295v4 · doi: 10.48550/arxiv.1808.04295 · pith_short_12: VT47ORQQZ5XD · pith_short_16: VT47ORQQZ5XDGDH7 · pith_short_8: VT47ORQQ

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/VT47ORQQZ5XDGDH7W77RPP4BDB \
  | 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: acf9f74610cf6e330cffb7ff17bf81185dbb9cf98f4261a7997d61684d64a411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade06a957ac648d4c55870a59bbeb8b157c4f189806b0990cb639ff2b13ad872",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-08-13T15:40:41Z",
    "title_canon_sha256": "eb0a34147a46c5e44668ad3de40bfaac0a0673d4025d1bf03c5ea005058e8c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04295",
    "kind": "arxiv",
    "version": 4
  }
}