Pith Number

pith:RIVHURFM

pith:2026:RIVHURFMCK3NXFYDRLXVNZBEKT

not attested not anchored not stored refs resolved

Certified Robustness under Heterogeneous Perturbations via Hybrid Randomized Smoothing

Blaise Delattre, Hengyu Wu, Paul Caillon, Wei Yang Bryan Lim, Yang Cao

Hybrid randomized smoothing yields a closed-form one-dimensional certificate that generalizes both Gaussian and discrete smoothing for joint discrete-continuous inputs.

arxiv:2605.12876 v1 · 2026-05-13 · cs.LG

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\usepackage{pith}
\pithnumber{RIVHURFMCK3NXFYDRLXVNZBEKT}

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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.

Claims

C1strongest claim

our approach yields a closed-form, one-dimensional certificate that strictly generalizes both Gaussian (image-only) and discrete (text-only) randomized smoothing

C2weakest assumption

The joint likelihood ordering induced by factorized discrete and continuous noise permits an analytically tractable Neyman-Pearson formulation of the worst-case problem.

C3one line summary

A hybrid randomized smoothing method yields a closed-form certificate for joint discrete-continuous perturbations that generalizes prior Gaussian and discrete smoothing approaches.

References

22 extracted · 22 resolved · 5 Pith anchors

[1] A., Jagielski, M., Gao, I., Awadalla, A., Koh, P 2023

[3] A Survey on Multimodal Large Language Models for Autonomous Driving 2024

[4] Defeating Prompt Injections by Design · arXiv:2503.18813

[5] Ad- versarial attacks to multi-modal models.arXiv preprint arXiv:2409.06793,

[6] Llavaguard: An open vlm- based framework for safeguarding vision datasets and mod- els

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:11.203825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2a7a44ac12b6db97038aef56e42454ed21a423ea5219052c9c2ba2e877eb80

Aliases

arxiv: 2605.12876 · arxiv_version: 2605.12876v1 · doi: 10.48550/arxiv.2605.12876 · pith_short_12: RIVHURFMCK3N · pith_short_16: RIVHURFMCK3NXFYD · pith_short_8: RIVHURFM

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/RIVHURFMCK3NXFYDRLXVNZBEKT \
  | 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: 8a2a7a44ac12b6db97038aef56e42454ed21a423ea5219052c9c2ba2e877eb80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a7e94add9dd79146598653c2462e5a6f2e250ada794afda1afee7286258a27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-13T01:44:31Z",
    "title_canon_sha256": "069b08904844747f7c099c7513b19d1577d7dcb1e047a95182c64180e360d5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12876",
    "kind": "arxiv",
    "version": 1
  }
}