Pith Number

pith:HGL3VOPX

pith:2019:HGL3VOPXJDCRKZNSTB3V7SMOWX

not attested not anchored not stored refs pending

Finite Depth and Width Corrections to the Neural Tangent Kernel

Boris Hanin, Mihai Nica

arxiv:1909.05989 v1 · 2019-09-13 · cs.LG · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGL3VOPXJDCRKZNSTB3V7SMOWX}

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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

3 papers in Pith

Global Convergence and Error Propagation in Neural Gradient Flows: A Riemannian Optimization Framework

How Long Does Infinite Width Last? Signal Propagation in Long-Range Linear Recurrences

There Will Be a Scientific Theory of Deep Learning

Receipt and verification

First computed	2026-07-05T00:04:31.434469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3997bab9f748c51565b298775fc98eb5fe591b80579a2ddd354ce539c95b79d9

Aliases

arxiv: 1909.05989 · arxiv_version: 1909.05989v1 · doi: 10.48550/arxiv.1909.05989 · pith_short_12: HGL3VOPXJDCR · pith_short_16: HGL3VOPXJDCRKZNS · pith_short_8: HGL3VOPX

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/HGL3VOPXJDCRKZNSTB3V7SMOWX \
  | 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: 3997bab9f748c51565b298775fc98eb5fe591b80579a2ddd354ce539c95b79d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15498f93db402dea8fc4895feed3e647ca21a9793f30a4ef2317b95f29a75a22",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-09-13T00:21:53Z",
    "title_canon_sha256": "9184dd1d6dd263db0e4b65fb89db99f17afab4a197945a2a721f69ef0e5b672b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05989",
    "kind": "arxiv",
    "version": 1
  }
}