Pith Number

pith:44CUZK24

pith:2021:44CUZK24KIOCP3B4GXCTHYLEIP

not attested not anchored not stored refs pending

Randomized Stochastic Variance-Reduced Methods for Multi-Task Stochastic Bilevel Optimization

Lijun Zhang, Quanqi Hu, Tianbao Yang, Zhishuai Guo

arxiv:2105.02266 v2 · 2021-05-05 · 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{44CUZK24KIOCP3B4GXCTHYLEIP}

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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

Bilevel learning

Penalty-Based First-Order Methods for Bilevel Optimization with Minimax and Constrained Lower-Level Problems

Receipt and verification

First computed	2026-07-05T02:49:01.060701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7054cab5c521c27ec3c35c533e16443e40383d24136ad2e5519ce05f665c7dc

Aliases

arxiv: 2105.02266 · arxiv_version: 2105.02266v2 · doi: 10.48550/arxiv.2105.02266 · pith_short_12: 44CUZK24KIOC · pith_short_16: 44CUZK24KIOCP3B4 · pith_short_8: 44CUZK24

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/44CUZK24KIOCP3B4GXCTHYLEIP \
  | 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: e7054cab5c521c27ec3c35c533e16443e40383d24136ad2e5519ce05f665c7dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d66f6ef129749ea1b00b617fdfe185d81beaded319be91156ff550dc73cb730",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-05-05T18:28:42Z",
    "title_canon_sha256": "f6d5ae09215858343a10071e4cb59ac378f5d20b2bd383759e6fd1a10b90de2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02266",
    "kind": "arxiv",
    "version": 2
  }
}