Pith Number

pith:IXJRAX7G

pith:2021:IXJRAX7GEUJETA5FAD6B4CJD35

not attested not anchored not stored refs pending

A Single-Timescale Method for Stochastic Bilevel Optimization

Quan Xiao, Tianyi Chen, Wotao Yin, Yuejiao Sun

arxiv:2102.04671 v4 · 2021-02-09 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXJRAX7GEUJETA5FAD6B4CJD35}

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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

2 papers in Pith

Single-loop approaches to nonsmooth bilevel optimisation

Bilevel learning

Receipt and verification

First computed	2026-07-05T04:10:11.755158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d3105fe625124983a500fc1e0923df41aa576f7b925b65ef241715ecb638fc

Aliases

arxiv: 2102.04671 · arxiv_version: 2102.04671v4 · doi: 10.48550/arxiv.2102.04671 · pith_short_12: IXJRAX7GEUJE · pith_short_16: IXJRAX7GEUJETA5F · pith_short_8: IXJRAX7G

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/IXJRAX7GEUJETA5FAD6B4CJD35 \
  | 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: 45d3105fe625124983a500fc1e0923df41aa576f7b925b65ef241715ecb638fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576a31ca32638fa69b9ad38f2d343cf4e49307a59dc34e46fde033bff31d0d38",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-02-09T06:35:30Z",
    "title_canon_sha256": "319301e238226f619c1a490cc9eabae5b72e06cf456323fa398caaa2ec656ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04671",
    "kind": "arxiv",
    "version": 4
  }
}