Pith Number

pith:45VZR3EL

pith:2024:45VZR3EL3AC6IFPNC4Z3NQ5OF2

not attested not anchored not stored refs pending

A Nearly Optimal Single Loop Algorithm for Stochastic Bilevel Optimization under Unbounded Smoothness

Jie Hao, Mingrui Liu, Xiaochuan Gong

arxiv:2412.20017 v1 · 2024-12-28 · cs.LG · 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{45VZR3EL3AC6IFPNC4Z3NQ5OF2}

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	2026-07-05T09:54:53.237473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76b98ec8bd805e415ed1733b6c3ae2eb3b96eb46a9b05106f671f94bd331822

Aliases

arxiv: 2412.20017 · arxiv_version: 2412.20017v1 · doi: 10.48550/arxiv.2412.20017 · pith_short_12: 45VZR3EL3AC6 · pith_short_16: 45VZR3EL3AC6IFPN · pith_short_8: 45VZR3EL

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/45VZR3EL3AC6IFPNC4Z3NQ5OF2 \
  | 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: e76b98ec8bd805e415ed1733b6c3ae2eb3b96eb46a9b05106f671f94bd331822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2cf6f49db7e3d70f380f4aa083e73dc84a69288df205b006849386ede25d622",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-28T04:40:27Z",
    "title_canon_sha256": "f9ee6bffa350d23ee2a54fc75555726ecae458679ee60d6b3c8d9f413552a828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20017",
    "kind": "arxiv",
    "version": 1
  }
}