Pith Number

pith:MYC3LECP

pith:2024:MYC3LECPDTCYJNJKIL455DFBYW

not attested not anchored not stored refs pending

Towards a Statistical Understanding of Neural Networks: Beyond the Neural Tangent Kernel Theories

Haobo Zhang, Jianfa Lai, Jun S. Liu, Qian Lin, Yicheng Li

arxiv:2412.18756 v1 · 2024-12-25 · 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{MYC3LECPDTCYJNJKIL455DFBYW}

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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

2 papers in Pith

Alignment-Sensitive Minimax Rates for Spectral Algorithms with Learned Kernels

Supporting Evidence for the Adaptive Feature Program across Diverse Models

Receipt and verification

First computed	2026-07-05T09:54:10.218374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6605b5904f1cc584b52a42f9de8ca1c5ae24ce4b6691d11daf11996ffbeae261

Aliases

arxiv: 2412.18756 · arxiv_version: 2412.18756v1 · doi: 10.48550/arxiv.2412.18756 · pith_short_12: MYC3LECPDTCY · pith_short_16: MYC3LECPDTCYJNJK · pith_short_8: MYC3LECP

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/MYC3LECPDTCYJNJKIL455DFBYW \
  | 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: 6605b5904f1cc584b52a42f9de8ca1c5ae24ce4b6691d11daf11996ffbeae261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "096b70f61a3276198746a98df503a93e1bd5a3883fe9717797754dac1b16cf38",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-25T03:03:58Z",
    "title_canon_sha256": "4621abdddfe1f8b7ce0de10a3fb7764f61e4c6decdc815e0871070ea38309a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18756",
    "kind": "arxiv",
    "version": 1
  }
}