Pith Number

pith:YCBHLKJI

pith:2026:YCBHLKJIIQSNNC7GSGRQL5GSPR

not attested not anchored not stored refs pending

Generalization and Trade-off in Adversarial Training: An RKHS Perspective via Kernel Integral Operators

Xiaoming Huo, Yiling Xie

arxiv:2607.27995 v1 · 2026-07-30 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCBHLKJIIQSNNC7GSGRQL5GSPR}

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	2026-07-31T01:35:12.730069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

c08275a9284424d68be691a305f4d27c77b6c95527d7e37e699a53c55333407d

Aliases

arxiv: 2607.27995 · arxiv_version: 2607.27995v1 · doi: 10.48550/arxiv.2607.27995 · pith_short_12: YCBHLKJIIQSN · pith_short_16: YCBHLKJIIQSNNC7G · pith_short_8: YCBHLKJI

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/YCBHLKJIIQSNNC7GSGRQL5GSPR \
  | 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: c08275a9284424d68be691a305f4d27c77b6c95527d7e37e699a53c55333407d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db7d3e6f8fe50aeacda9fdb8e778675cf1c4d36414fb9a96c07450e4798e76b4",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-30T10:43:29Z",
    "title_canon_sha256": "82c5c91f7787c649869e561ca4a1f22377399f282841e2b572f6ecff1e64840e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27995",
    "kind": "arxiv",
    "version": 1
  }
}