Pith Number

pith:WDARDB43

pith:2019:WDARDB43M5SUUILXTX53BCKENE

not attested not anchored not stored refs pending

Training Neural Networks as Learning Data-adaptive Kernels: Provable Representation and Approximation Benefits

Tengyuan Liang, Xialiang Dou

arxiv:1901.07114 v2 · 2019-01-21 · 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{WDARDB43M5SUUILXTX53BCKENE}

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	2026-07-05T01:21:45.400570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c111879b67654a21779dfbb089446901c71f9f5b9df26bd7a50cc0b352a7c0

Aliases

arxiv: 1901.07114 · arxiv_version: 1901.07114v2 · doi: 10.48550/arxiv.1901.07114 · pith_short_12: WDARDB43M5SU · pith_short_16: WDARDB43M5SUUILX · pith_short_8: WDARDB43

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/WDARDB43M5SUUILXTX53BCKENE \
  | 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: b0c111879b67654a21779dfbb089446901c71f9f5b9df26bd7a50cc0b352a7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8cd252cca5735c89fe88c80d4469690de14ff00f86e2de4a4795aee28de1765",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-01-21T23:15:16Z",
    "title_canon_sha256": "106ee99b616269bb4f1e3c5ebd7d073b004dd173ff882d3a2861259ee25c90c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07114",
    "kind": "arxiv",
    "version": 2
  }
}