Pith Number

pith:IPNHHCRX

pith:2024:IPNHHCRXYIGMWP2ILVBWZVBXBL

not attested not anchored not stored refs pending

Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts

Anastasis Kratsios, Haitz S\'aez de Oc\'ariz Borde, Marc T. Law, Takashi Furuya

arxiv:2402.03460 v2 · 2024-02-05 · stat.ML · cs.LG · cs.NA · cs.NE · math.CO · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPNHHCRXYIGMWP2ILVBWZVBXBL}

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.

Receipt and verification

First computed	2026-07-05T08:23:17.041584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43da738a37c20ccb3f485d436cd4370ad4ce300faf0f79148c46fc008a5770e4

Aliases

arxiv: 2402.03460 · arxiv_version: 2402.03460v2 · doi: 10.48550/arxiv.2402.03460 · pith_short_12: IPNHHCRXYIGM · pith_short_16: IPNHHCRXYIGMWP2I · pith_short_8: IPNHHCRX

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/IPNHHCRXYIGMWP2ILVBWZVBXBL \
  | 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: 43da738a37c20ccb3f485d436cd4370ad4ce300faf0f79148c46fc008a5770e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "057e98eceeae3d94cae33f689622288b97a66f69b463c8e6bc9547265efb5d1e",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "cs.NE",
      "math.CO",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-02-05T19:11:57Z",
    "title_canon_sha256": "954009c51cbc77979e0ea57c1053372fb465d101c1340c5323d05a40dac6628a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.03460",
    "kind": "arxiv",
    "version": 2
  }
}