Pith Number

pith:MKNFWHO2

pith:2021:MKNFWHO2RSVWCLFOYY22J4BHNE

not attested not anchored not stored refs pending

On the Convergence of Stochastic Extragradient for Bilinear Games using Restarted Iteration Averaging

Chris Junchi Li, Gauthier Gidel, Michael I. Jordan, Nicolas Le Roux, Nicolas Loizou, Yaodong Yu, Yi Ma

arxiv:2107.00464 v4 · 2021-06-30 · math.OC · cs.GT · 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{MKNFWHO2RSVWCLFOYY22J4BHNE}

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	2026-07-05T04:12:35.237082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629a5b1dda8cab612caec635a4f0276914e864c83897e1bbe863ec9aa3251415

Aliases

arxiv: 2107.00464 · arxiv_version: 2107.00464v4 · doi: 10.48550/arxiv.2107.00464 · pith_short_12: MKNFWHO2RSVW · pith_short_16: MKNFWHO2RSVWCLFO · pith_short_8: MKNFWHO2

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/MKNFWHO2RSVWCLFOYY22J4BHNE \
  | 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: 629a5b1dda8cab612caec635a4f0276914e864c83897e1bbe863ec9aa3251415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03dfb3c4ccf057cbaf42149daa9667a798f5098d12afe65433f6b049cd13b2e3",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-30T17:51:36Z",
    "title_canon_sha256": "384c2eef63cdd8ffc6226dd617bbd440191828fc145d1c495f250c9257db3ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00464",
    "kind": "arxiv",
    "version": 4
  }
}