Pith Number

pith:ZTJE5TA7

pith:2022:ZTJE5TA7UC4LA2JTLEH6MYYDC2

not attested not anchored not stored refs pending

Decentralized Stochastic Bilevel Optimization with Improved per-Iteration Complexity

Krishnakumar Balasubramanian, Minhui Huang, Shiqian Ma, Xuxing Chen

arxiv:2210.12839 v2 · 2022-10-23 · math.OC · cs.DC · 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{ZTJE5TA7UC4LA2JTLEH6MYYDC2}

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	2026-07-05T06:16:12.862104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd24ecc1fa0b8b06933590fe6630316aac3118ed57cb52e2ec76f7cc38ca307

Aliases

arxiv: 2210.12839 · arxiv_version: 2210.12839v2 · doi: 10.48550/arxiv.2210.12839 · pith_short_12: ZTJE5TA7UC4L · pith_short_16: ZTJE5TA7UC4LA2JT · pith_short_8: ZTJE5TA7

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/ZTJE5TA7UC4LA2JTLEH6MYYDC2 \
  | 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: ccd24ecc1fa0b8b06933590fe6630316aac3118ed57cb52e2ec76f7cc38ca307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afdff880f817254719f5c938bd6de71f0babeb5923874c3dcca0ba6aa50a7909",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-23T20:06:05Z",
    "title_canon_sha256": "a9efc9ed6078d72cc0d933813abaf2eb82b352bcac4bed62ed1ab30d4574f6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.12839",
    "kind": "arxiv",
    "version": 2
  }
}