Pith Number

pith:7U7DTWRH

pith:2026:7U7DTWRHX6DKZB4RPH5LO6EBSD

not attested not anchored not stored refs pending

Sharper Analysis of Single-Loop Methods for Bilevel Optimization

Deyu Meng, Guang Dai, Haishan Ye, Junmin Liu, Jun Shu, Luo Luo, Yubo Zhou

arxiv:2607.10263 v1 · 2026-07-11 · 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{7U7DTWRHX6DKZB4RPH5LO6EBSD}

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	2026-07-14T01:20:33.584256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3e39da27bf86ac879179fab7788190fcf00f4f9c3592bbbb3afe28615eca91

Aliases

arxiv: 2607.10263 · arxiv_version: 2607.10263v1 · doi: 10.48550/arxiv.2607.10263 · pith_short_12: 7U7DTWRHX6DK · pith_short_16: 7U7DTWRHX6DKZB4R · pith_short_8: 7U7DTWRH

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/7U7DTWRHX6DKZB4RPH5LO6EBSD \
  | 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: fd3e39da27bf86ac879179fab7788190fcf00f4f9c3592bbbb3afe28615eca91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74dae8dd9d324b4ceeba620f97869e4e91d80439618d72a88ef71fbe24afe5a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-11T11:41:42Z",
    "title_canon_sha256": "f6427ea8ba3b12304e543db5a693485c62f063259ee604e93fb17ebc8e572c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10263",
    "kind": "arxiv",
    "version": 1
  }
}