Pith Number

pith:FA6JY4XP

pith:2025:FA6JY4XPHKPX2KXNRGEZSYV6OF

not attested not anchored not stored refs pending

Improving monotonic optimization in heterogeneous multi-agent reinforcement learning with optimal marginal deterministic policy gradient

Sheng Han, Shuo Wang, Xiaoyang Yu, Youfang Lin

arxiv:2507.09989 v1 · 2025-07-14 · cs.AI · 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{FA6JY4XPHKPX2KXNRGEZSYV6OF}

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	2026-07-05T11:36:43.345446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

283c9c72ef3a9f7d2aed89899962be7156908f54fb6ea60341e1e4ba6e026abc

Aliases

arxiv: 2507.09989 · arxiv_version: 2507.09989v1 · doi: 10.48550/arxiv.2507.09989 · pith_short_12: FA6JY4XPHKPX · pith_short_16: FA6JY4XPHKPX2KXN · pith_short_8: FA6JY4XP

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/FA6JY4XPHKPX2KXNRGEZSYV6OF \
  | 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: 283c9c72ef3a9f7d2aed89899962be7156908f54fb6ea60341e1e4ba6e026abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3231031a77d222fd22fa2567f8d31f761d32807f43f290e7de7e4324b92d69b6",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-07-14T07:16:01Z",
    "title_canon_sha256": "ed105718d2fd78b2178139fcb4c1dd3078bdc2982cddf4e2cd2086ea52e0fa97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09989",
    "kind": "arxiv",
    "version": 1
  }
}