Pith Number

pith:C5CG44CJ

pith:2020:C5CG44CJWMI35E3JUDO3UYYRWV

not attested not anchored not stored refs pending

Zeroth-Order Feedback Optimization for Cooperative Multi-Agent Systems

Na Li, Yujie Tang, Zhaolin Ren

arxiv:2011.09728 v2 · 2020-11-19 · math.OC · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5CG44CJWMI35E3JUDO3UYYRWV}

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	2026-07-05T02:17:09.575412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17446e7049b311be9369a0ddba6311b54add5b3c0d3386c78da3f2084e8c0961

Aliases

arxiv: 2011.09728 · arxiv_version: 2011.09728v2 · doi: 10.48550/arxiv.2011.09728 · pith_short_12: C5CG44CJWMI3 · pith_short_16: C5CG44CJWMI35E3J · pith_short_8: C5CG44CJ

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/C5CG44CJWMI35E3JUDO3UYYRWV \
  | 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: 17446e7049b311be9369a0ddba6311b54add5b3c0d3386c78da3f2084e8c0961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154ce2444ecc9aad39d162d27674c42270efd7f524b54cd88f7d6d27a502818b",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-11-19T09:08:26Z",
    "title_canon_sha256": "d8910c74bb6821e004e2acdc9957b50b5b39028f130285cdcf5c71ffecd83c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09728",
    "kind": "arxiv",
    "version": 2
  }
}