Pith Number

pith:RCCPNX4Z

pith:2024:RCCPNX4ZYWDEVYHTHEIXCQFJIU

not attested not anchored not stored refs pending

SocialGFs: Learning Social Gradient Fields for Multi-Agent Reinforcement Learning

Fangwei Zhong, Mingdong Wu, Qian Long, Song-Chun Zhu, Yizhou Wang

arxiv:2405.01839 v1 · 2024-05-03 · 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{RCCPNX4ZYWDEVYHTHEIXCQFJIU}

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	2026-07-05T08:15:02.740451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8884f6df99c5864ae0f339117140a9452b266ec0602c317133c2bd9d26275cef

Aliases

arxiv: 2405.01839 · arxiv_version: 2405.01839v1 · doi: 10.48550/arxiv.2405.01839 · pith_short_12: RCCPNX4ZYWDE · pith_short_16: RCCPNX4ZYWDEVYHT · pith_short_8: RCCPNX4Z

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/RCCPNX4ZYWDEVYHTHEIXCQFJIU \
  | 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: 8884f6df99c5864ae0f339117140a9452b266ec0602c317133c2bd9d26275cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63517a7556f0d23f3e29332b6a0c81513a94fb8ad0849227cfad87e1f6eba213",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-05-03T04:12:19Z",
    "title_canon_sha256": "45e045af26456b8101f0b024d663be723c85852245a8b1b7158f8bfccfd31025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.01839",
    "kind": "arxiv",
    "version": 1
  }
}