Pith Number

pith:WSCAMYAL

pith:2026:WSCAMYALW6OVUCFBOAWWHTRAIC

not attested not anchored not stored refs pending

DualOptim+: Bridging Shared and Decoupled Optimizer States for Better Machine Unlearning in Large Language Models

Chen Liu, Qizhang Li, Xuyang Zhong, Yiwen Guo

arxiv:2605.21539 v1 · 2026-05-20 · 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{WSCAMYALW6OVUCFBOAWWHTRAIC}

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	2026-05-22T00:02:27.952032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48406600bb79d5a08a1702d63ce2040904ce56b587009011e1d3a2a6bed6646

Aliases

arxiv: 2605.21539 · arxiv_version: 2605.21539v1 · doi: 10.48550/arxiv.2605.21539 · pith_short_12: WSCAMYALW6OV · pith_short_16: WSCAMYALW6OVUCFB · pith_short_8: WSCAMYAL

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/WSCAMYALW6OVUCFBOAWWHTRAIC \
  | 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: b48406600bb79d5a08a1702d63ce2040904ce56b587009011e1d3a2a6bed6646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d131e90c4e79b2be5b2590c8616c1d60e682d61bceb8f48329a87b4f867f14",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T07:45:08Z",
    "title_canon_sha256": "5edf3a9d2e0bfa6c1ab4e1c92ef20aa66936799a23405bbbeaa8e5ddf1e8dfca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21539",
    "kind": "arxiv",
    "version": 1
  }
}