Pith Number

pith:35J52URG

pith:2024:35J52URGGBQX4S6B4DMIRUDU7J

not attested not anchored not stored refs pending

Linear Convergence Analysis of Single-loop Algorithm for Bilevel Optimization via Small-gain Theorem

Jianhui Li, Jianqi Chen, Junfeng Wu, Shi Pu

arxiv:2412.00659 v1 · 2024-12-01 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35J52URGGBQX4S6B4DMIRUDU7J}

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	2026-07-05T09:42:44.863049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df53dd522630617e4bc1e0d888d074fa4256bb9f902ae488c356dee4552344e9

Aliases

arxiv: 2412.00659 · arxiv_version: 2412.00659v1 · doi: 10.48550/arxiv.2412.00659 · pith_short_12: 35J52URGGBQX · pith_short_16: 35J52URGGBQX4S6B · pith_short_8: 35J52URG

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/35J52URGGBQX4S6B4DMIRUDU7J \
  | 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: df53dd522630617e4bc1e0d888d074fa4256bb9f902ae488c356dee4552344e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e43f32686dc411f9022fdd2c41fdb9c4837c1d8208339e358f170ff2ccd8bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-01T03:42:17Z",
    "title_canon_sha256": "3a59223546ba607b6f61f3c8acb81a2c415e51a63028a05bb8715160244006f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00659",
    "kind": "arxiv",
    "version": 1
  }
}