Pith Number

pith:ZDLU7RBZ

pith:2025:ZDLU7RBZZ5XOFCPCTT2NEJTADH

not attested not anchored not stored refs pending

Bi-level Mean Field: Dynamic Grouping for Large-Scale MARL

Feiyang Xu, Mingli Song, Shunyu Liu, Yihe Zhou, Yuxuan Zheng

arxiv:2505.06706 v2 · 2025-05-10 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDLU7RBZZ5XOFCPCTT2NEJTADH}

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	2026-07-05T11:05:44.100274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d74fc439cf6ee289e29cf4d2266019d331384be8b7a1bd46dfe9a61f651395

Aliases

arxiv: 2505.06706 · arxiv_version: 2505.06706v2 · doi: 10.48550/arxiv.2505.06706 · pith_short_12: ZDLU7RBZZ5XO · pith_short_16: ZDLU7RBZZ5XOFCPC · pith_short_8: ZDLU7RBZ

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/ZDLU7RBZZ5XOFCPCTT2NEJTADH \
  | 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: c8d74fc439cf6ee289e29cf4d2266019d331384be8b7a1bd46dfe9a61f651395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2165f2eaec0adb4432570e186305c016aca6a3570f520a8e534ba98ebd4969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-05-10T17:04:33Z",
    "title_canon_sha256": "63160e42859fdb2408df0acb191feb286361be49c5b7cf74983b75a9be8640f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06706",
    "kind": "arxiv",
    "version": 2
  }
}