Pith Number

pith:GITBSCO6

pith:2018:GITBSCO6ZELI4HCGD3LSXLUDPW

not attested not anchored not stored refs pending

A Priori Estimates of the Population Risk for Two-layer Neural Networks

Chao Ma, Lei Wu, Weinan E

arxiv:1810.06397 v3 · 2018-10-15 · stat.ML · cs.LG · math.ST · 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{GITBSCO6ZELI4HCGD3LSXLUDPW}

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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

Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs

Receipt and verification

First computed	2026-07-05T00:42:41.912765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32261909dec9168e1c461ed72bae837d9036406dd7a1335c6ec991933cf73fd6

Aliases

arxiv: 1810.06397 · arxiv_version: 1810.06397v3 · doi: 10.48550/arxiv.1810.06397 · pith_short_12: GITBSCO6ZELI · pith_short_16: GITBSCO6ZELI4HCG · pith_short_8: GITBSCO6

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/GITBSCO6ZELI4HCGD3LSXLUDPW \
  | 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: 32261909dec9168e1c461ed72bae837d9036406dd7a1335c6ec991933cf73fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b644ada5fd0536567ede07725b9edf55fa8706fd67b2d5f184917cf35722d487",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-10-15T14:38:56Z",
    "title_canon_sha256": "8e2c38788fdedef7b735ec86cf41cfee35d4b743589764d23c72dc25ca08b328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06397",
    "kind": "arxiv",
    "version": 3
  }
}