Pith Number

pith:WUXDSWSI

pith:2026:WUXDSWSIETOVH7EVG523H7KWCD

not attested not anchored not stored refs pending

Near-Optimal Lower Bounds for Exact Zeroth-Order Convex Optimization

Chenheng Zhang, Haihan Zhang, Zhiquan Qi, Zhouchen Lin

arxiv:2607.16558 v1 · 2026-07-18 · 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{WUXDSWSIETOVH7EVG523H7KWCD}

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	2026-07-21T00:20:25.269220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52e395a4824dd53fc953775b3fd5610f6c619fc9f8367fa70f8fcf9613e02f7

Aliases

arxiv: 2607.16558 · arxiv_version: 2607.16558v1 · doi: 10.48550/arxiv.2607.16558 · pith_short_12: WUXDSWSIETOV · pith_short_16: WUXDSWSIETOVH7EV · pith_short_8: WUXDSWSI

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/WUXDSWSIETOVH7EVG523H7KWCD \
  | 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: b52e395a4824dd53fc953775b3fd5610f6c619fc9f8367fa70f8fcf9613e02f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b57c87588d74d6c9948cace4034b66d599baf497fd4b93c883baa80ed9ccbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-18T00:04:07Z",
    "title_canon_sha256": "3d681eb8cf38cfda8b5a6f8e45a9677b12c1de0dd80c95ced5715f1cf3bf10d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16558",
    "kind": "arxiv",
    "version": 1
  }
}