Pith Number

pith:2L6AFKDB

pith:2026:2L6AFKDBRUU5BFR3D77N2DNEX5

not attested not anchored not stored refs pending

Sliding Methods for H\"older-Smooth Convex--Concave Minimax Optimization with Bilinear Coupling

Alexander Gasnikov, Nhat Trung Nguyen

arxiv:2608.03846 v1 · 2026-08-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2L6AFKDBRUU5BFR3D77N2DNEX5}

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	2026-08-05T01:37:14.752440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2fc02a8618d29d0963b1ffedd0da4bf47beb1152fd9671d710c7e6b3ad75139

Aliases

arxiv: 2608.03846 · arxiv_version: 2608.03846v1 · doi: 10.48550/arxiv.2608.03846 · pith_short_12: 2L6AFKDBRUU5 · pith_short_16: 2L6AFKDBRUU5BFR3 · pith_short_8: 2L6AFKDB

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/2L6AFKDBRUU5BFR3D77N2DNEX5 \
  | 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: d2fc02a8618d29d0963b1ffedd0da4bf47beb1152fd9671d710c7e6b3ad75139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f2670d75632a4ebbda9af84fcc2be6d804dcc404d63f22f92470883f99df74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-04T15:50:37Z",
    "title_canon_sha256": "feedc29c119d2b23298e9cc4fcc52de24e61d58d3b19b25bd6d1ece440b728db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03846",
    "kind": "arxiv",
    "version": 1
  }
}