Pith Number

pith:4WTMFQM6

pith:2025:4WTMFQM6WGYXGYGWGMDFECY7KE

not attested not anchored not stored refs pending

A Zeroth-Order Extra-Gradient Method for Black-Box Constrained Optimization

Jianxiao Wang, Jie Song, Ruiyang Jin, Siyang Gao, Yuke Zhou

arxiv:2506.20546 v2 · 2025-06-25 · 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{4WTMFQM6WGYXGYGWGMDFECY7KE}

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	2026-07-05T11:37:24.433039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a6c2c19eb1b17360d63306520b1f513e67999d7f4ed7147acf5a91472d2fcb

Aliases

arxiv: 2506.20546 · arxiv_version: 2506.20546v2 · doi: 10.48550/arxiv.2506.20546 · pith_short_12: 4WTMFQM6WGYX · pith_short_16: 4WTMFQM6WGYXGYGW · pith_short_8: 4WTMFQM6

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/4WTMFQM6WGYXGYGWGMDFECY7KE \
  | 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: e5a6c2c19eb1b17360d63306520b1f513e67999d7f4ed7147acf5a91472d2fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba27d7bcb835df065a13f635fd438db0cda1e816171350fe9e85da67307c49b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-25T15:42:39Z",
    "title_canon_sha256": "9f3f1e43b6a712177854fabc10b5ffabac67cdf52e9f7f51e763f9294a6e2c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20546",
    "kind": "arxiv",
    "version": 2
  }
}