Pith Number

pith:C7W73THU

pith:2026:C7W73THUV46XNAAQBRKBNK5KZF

not attested not anchored not stored refs pending

Last-Iterate Convergence of Single-Loop Stochastic Methods for Constrained Convex-Concave Minimax Problems

Anthony Man-Cho So, Jiajin Li, Taoli Zheng

arxiv:2607.11056 v1 · 2026-07-13 · 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{C7W73THUV46XNAAQBRKBNK5KZF}

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	2026-07-14T01:22:14.032544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17edfdccf4af3d7680100c5416abaac95dd81541ddb2416b75f3265961f5ff20

Aliases

arxiv: 2607.11056 · arxiv_version: 2607.11056v1 · doi: 10.48550/arxiv.2607.11056 · pith_short_12: C7W73THUV46X · pith_short_16: C7W73THUV46XNAAQ · pith_short_8: C7W73THU

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/C7W73THUV46XNAAQBRKBNK5KZF \
  | 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: 17edfdccf4af3d7680100c5416abaac95dd81541ddb2416b75f3265961f5ff20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addd2b6b660033867c4d7698ff3cfee48d1994f3907e81486d8a057718f24dfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-13T03:33:15Z",
    "title_canon_sha256": "f918798887909566385ae51f55a5bc6d1f6c2144afa00ed945f6488d0cfb89df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11056",
    "kind": "arxiv",
    "version": 1
  }
}