Pith Number

pith:5LNVL2NC

pith:2024:5LNVL2NCUTCL4HJEJKGENQCX2S

not attested not anchored not stored refs pending

Moreau Envelope for Nonconvex Bi-Level Optimization: A Single-loop and Hessian-free Solution Strategy

Jin Zhang, Risheng Liu, Shangzhi Zeng, Wei Yao, Zhu Liu

arxiv:2405.09927 v1 · 2024-05-16 · math.OC · 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{5LNVL2NCUTCL4HJEJKGENQCX2S}

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.

Cited by

1 paper in Pith

Select-then-differentiate: Solving Bilevel Optimization with Manifold Lower-level Solution Sets

Receipt and verification

First computed	2026-07-05T08:19:50.741712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eadb55e9a2a4c4be1d244a8c46c057d49d3450dfa2a1a7acc4fc9626dd1ed11e

Aliases

arxiv: 2405.09927 · arxiv_version: 2405.09927v1 · doi: 10.48550/arxiv.2405.09927 · pith_short_12: 5LNVL2NCUTCL · pith_short_16: 5LNVL2NCUTCL4HJE · pith_short_8: 5LNVL2NC

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/5LNVL2NCUTCL4HJEJKGENQCX2S \
  | 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: eadb55e9a2a4c4be1d244a8c46c057d49d3450dfa2a1a7acc4fc9626dd1ed11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615fbb368f35a16c5156da7ac6c64dfbaa5103d8bd9d8c24966636abece4d7ae",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-05-16T09:33:28Z",
    "title_canon_sha256": "e789c7a1cbf3978d65912585e3291cd744291741fdf544dff670f530ca69ace4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.09927",
    "kind": "arxiv",
    "version": 1
  }
}