Pith Number

pith:7MWP4KRC

pith:2023:7MWP4KRCO2WA35WL5L7E6GBHES

not attested not anchored not stored refs pending

How many Neurons do we need? A refined Analysis for Shallow Networks trained with Gradient Descent

Mike Nguyen, Nicole M\"ucke

arxiv:2309.08044 v1 · 2023-09-14 · 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{7MWP4KRCO2WA35WL5L7E6GBHES}

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

Optimal Convergence Rates for Neural Operators

Receipt and verification

First computed	2026-07-05T06:51:01.127950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2cfe2a2276ac0df6cbeafe4f182724983c1e9ce36d813d061b9bf1f127d2fd

Aliases

arxiv: 2309.08044 · arxiv_version: 2309.08044v1 · doi: 10.48550/arxiv.2309.08044 · pith_short_12: 7MWP4KRCO2WA · pith_short_16: 7MWP4KRCO2WA35WL · pith_short_8: 7MWP4KRC

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/7MWP4KRCO2WA35WL5L7E6GBHES \
  | 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: fb2cfe2a2276ac0df6cbeafe4f182724983c1e9ce36d813d061b9bf1f127d2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b738bb9adfa403c180a8a57034103d458950b2c66b03adcf94344fe95170ef",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-09-14T22:10:28Z",
    "title_canon_sha256": "49605f1d8f59d8fc534431dda0c40d7d50eb038a35476750a82ca4fa5706a450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08044",
    "kind": "arxiv",
    "version": 1
  }
}