Pith Number

pith:FI5A65XO

pith:2026:FI5A65XOECJUIA34JFIUAH7PZI

not attested not anchored not stored refs pending

Lipschitz Continuity in Deep Learning: A Systematic Review of Theoretical Foundations, Estimation Methods, Regularization Approaches, and Certifiable Robustness

Colm O'Riordan, James McDermott, R\'ois\'in Luo

arxiv:2607.16329 v1 · 2026-07-15 · 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{FI5A65XOECJUIA34JFIUAH7PZI}

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	2026-07-21T00:20:12.697611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a3a0f76ee209344037c4951401fefca2742e5900aba64c722d134cf233073db

Aliases

arxiv: 2607.16329 · arxiv_version: 2607.16329v1 · doi: 10.48550/arxiv.2607.16329 · pith_short_12: FI5A65XOECJU · pith_short_16: FI5A65XOECJUIA34 · pith_short_8: FI5A65XO

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/FI5A65XOECJUIA34JFIUAH7PZI \
  | 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: 2a3a0f76ee209344037c4951401fefca2742e5900aba64c722d134cf233073db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c829ff5bbba449ad75abcd109f45b62b75fd97ebe72d181ffc5ab98b04fa75",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-15T16:04:37Z",
    "title_canon_sha256": "908fe27ba6b70854d249d49674f43527e643591ffca3a06bbe3562073c2317e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16329",
    "kind": "arxiv",
    "version": 1
  }
}