Pith Number

pith:OB4VK2KZ

pith:2026:OB4VK2KZJMXMVHB7WEP7LLJFFC

not attested not anchored not stored refs pending

Halpern Iteration Achieves $\tilde{\mathcal{O}}(\epsilon^{-1/p})$ $p$th-Order Oracle Complexity for Monotone Variational Inequalities

Chengchang Liu, Hengyu Wang, Jingzhao Zhang, Lesi Chen, Xinliang Zhang, Yongchao Chen

arxiv:2608.08463 v1 · 2026-08-09 · math.OC · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OB4VK2KZJMXMVHB7WEP7LLJFFC}

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	2026-08-11T01:22:41.842369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70795569594b2eca9c3fb11ff5ad25288f5ed80acf737f56ba6cb6d982246ea3

Aliases

arxiv: 2608.08463 · arxiv_version: 2608.08463v1 · doi: 10.48550/arxiv.2608.08463 · pith_short_12: OB4VK2KZJMXM · pith_short_16: OB4VK2KZJMXMVHB7 · pith_short_8: OB4VK2KZ

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/OB4VK2KZJMXMVHB7WEP7LLJFFC \
  | 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: 70795569594b2eca9c3fb11ff5ad25288f5ed80acf737f56ba6cb6d982246ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a725a3d29f7e89a2b4b75d20c7da4ad977139b107f68f1e3326993e9faa3d5",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-09T04:13:20Z",
    "title_canon_sha256": "ead3ec94ff34e12468d7b03df54a31fcb9afa5d050f187d822cbf8427c4541d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08463",
    "kind": "arxiv",
    "version": 1
  }
}