Pith Number

pith:5OAF7MUB

pith:2026:5OAF7MUBU76G5JQ24MI4BDQE35

not attested not anchored not stored refs pending

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data

Ahmed Mehdi Inane, Gintare Karolina Dziugaite, Ioannis Mitliagkas, Vincent Quirion

Asymmetric Langevin Unlearning injects public data to reduce certified unlearning noise by a factor of O(1/n_pub²) while preserving model utility.

arxiv:2605.11170 v2 · 2026-05-11 · cs.LG · cs.CR

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\usepackage{pith}
\pithnumber{5OAF7MUBU76G5JQ24MI4BDQE35}

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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

We prove that public data injection suppresses the unlearning cost by a factor of O(1/n_pub²), guaranteeing a strict computational advantage over retraining.

C2weakest assumption

The analysis assumes that the underlying Langevin dynamics and variational Rényi divergence bounds remain valid when public data is injected asymmetrically, and that the distribution mismatch between public and private sources can be explicitly characterized without invalidating the utility guarantees.

C3one line summary

Asymmetric Langevin Unlearning uses public data to suppress unlearning noise costs by O(1/n_pub²), enabling practical mass unlearning with preserved utility under distribution mismatch.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:51.307619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb805fb281a7fc6ea61ae311c08e04df5a574ac979d21a632ddc90fcc66282ef

Aliases

arxiv: 2605.11170 · arxiv_version: 2605.11170v2 · doi: 10.48550/arxiv.2605.11170 · pith_short_12: 5OAF7MUBU76G · pith_short_16: 5OAF7MUBU76G5JQ2 · pith_short_8: 5OAF7MUB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5OAF7MUBU76G5JQ24MI4BDQE35 \
  | 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: eb805fb281a7fc6ea61ae311c08e04df5a574ac979d21a632ddc90fcc66282ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7cc1be403590cc7cf4ec48b027feabd34da356b9574194cb1b061b65ef6aa67",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-11T19:28:33Z",
    "title_canon_sha256": "417dd600062dd000d608075e6450b915803bd4b36ca57bfd2b0712414b99c7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11170",
    "kind": "arxiv",
    "version": 2
  }
}