Pith Number

pith:ICACDHKP

pith:2016:ICACDHKPQYTJUQIFZGXINCQH6W

not attested not anchored not stored refs pending

Deep vs. shallow networks : An approximation theory perspective

Hrushikesh Mhaskar, Tomaso Poggio

arxiv:1608.03287 v1 · 2016-08-10 · cs.LG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICACDHKPQYTJUQIFZGXINCQH6W}

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

Understanding deep learning requires rethinking generalization

Receipt and verification

First computed	2026-05-18T01:09:29.259668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4080219d4f86269a4105c9ae868a07f5a35c250262144ba69f516778104faf65

Aliases

arxiv: 1608.03287 · arxiv_version: 1608.03287v1 · doi: 10.48550/arxiv.1608.03287 · pith_short_12: ICACDHKPQYTJ · pith_short_16: ICACDHKPQYTJUQIF · pith_short_8: ICACDHKP

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/ICACDHKPQYTJUQIFZGXINCQH6W \
  | 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: 4080219d4f86269a4105c9ae868a07f5a35c250262144ba69f516778104faf65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ac94afb388eb93ed12d55c3ba2f2ea9fb9bc831e757b0764d83134e35fed30",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-08-10T20:02:40Z",
    "title_canon_sha256": "b08689d131ba1e6ebb95b66b65505bca7752b01019338c7c028c95a9c4324ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03287",
    "kind": "arxiv",
    "version": 1
  }
}