Pith Number

pith:B3UJFLBD

pith:2026:B3UJFLBD7XNORSLYOKS57KPRKW

not attested not anchored not stored refs pending

On Same-Sample and Independent-Sample Stochastic Extragradient for Monotone Variational Inequalities

Nicolas Loizou, TaeHo Yoon

arxiv:2608.06182 v1 · 2026-08-06 · 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{B3UJFLBD7XNORSLYOKS57KPRKW}

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	2026-08-07T01:40:53.527166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee892ac23fddae8c97872a5dfa9f155a5c3d927e26a98d1c928042ad8fe5303

Aliases

arxiv: 2608.06182 · arxiv_version: 2608.06182v1 · doi: 10.48550/arxiv.2608.06182 · pith_short_12: B3UJFLBD7XNO · pith_short_16: B3UJFLBD7XNORSLY · pith_short_8: B3UJFLBD

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/B3UJFLBD7XNORSLYOKS57KPRKW \
  | 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: 0ee892ac23fddae8c97872a5dfa9f155a5c3d927e26a98d1c928042ad8fe5303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e735a009f22b48262f2fd7230b116c06c31edcc3988e91c6e41d25248caceb11",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-06T15:42:40Z",
    "title_canon_sha256": "a1574b6569d6c976377ecd880067b8a06b1b17d46b0d1b59450e59a1c4e96bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06182",
    "kind": "arxiv",
    "version": 1
  }
}