Pith Number

pith:S47C3MWK

pith:2026:S47C3MWKVAAYNK2VNVAHFVCU6A

not attested not anchored not stored refs pending

COOP$^2$: Defining, Observing, and Repairing Cooperation in LLM Multi-Agent Systems

Carlee Joe-Wong, Hanqing Yang, Jingdi Chen, Marie Siew, Narjes Nourzad, Shiyu Chen

arxiv:2603.00349 v2 · 2026-02-27 · 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{S47C3MWKVAAYNK2VNVAHFVCU6A}

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	2026-05-28T01:04:37.671704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973e2db2caa80186ab556d4072d454f0227c74ff514e3451f50f6ea78c46329a

Aliases

arxiv: 2603.00349 · arxiv_version: 2603.00349v2 · doi: 10.48550/arxiv.2603.00349 · pith_short_12: S47C3MWKVAAY · pith_short_16: S47C3MWKVAAYNK2V · pith_short_8: S47C3MWK

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/S47C3MWKVAAYNK2VNVAHFVCU6A \
  | 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: 973e2db2caa80186ab556d4072d454f0227c74ff514e3451f50f6ea78c46329a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdb559ac14214a40984a565a8b91aefb6d6b77a95b6d0e9e4d039498847e4f0",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-02-27T22:28:33Z",
    "title_canon_sha256": "05c5471432fdf1c62b100c88f00aba86d7498b5be042af46f9306d82b79ce2d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.00349",
    "kind": "arxiv",
    "version": 2
  }
}