Pith Number

pith:VZ2BWPEL

pith:2026:VZ2BWPELPM53TOHVZSFMORRH4B

not attested not anchored not stored refs pending

Enhancing Decision-Making with Large Language Models through Multi-Agent Fictitious Play

Chun Kai Ling, Leyang Shen, Tat-Seng Chua, Xiaoyan Zhao, Yang Zhang

arxiv:2606.19308 v1 · 2026-06-17 · cs.CL · 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{VZ2BWPELPM53TOHVZSFMORRH4B}

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	2026-06-19T16:12:10.834644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae741b3c8b7b3bb9b8f5cc8ac74627e070eea09fe8756cd4fa1ab6c5b0f05d42

Aliases

arxiv: 2606.19308 · arxiv_version: 2606.19308v1 · doi: 10.48550/arxiv.2606.19308 · pith_short_12: VZ2BWPELPM53 · pith_short_16: VZ2BWPELPM53TOHV · pith_short_8: VZ2BWPEL

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/VZ2BWPELPM53TOHVZSFMORRH4B \
  | 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: ae741b3c8b7b3bb9b8f5cc8ac74627e070eea09fe8756cd4fa1ab6c5b0f05d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "298153ca58dc789a32c9d02ef9c791272510164f9f4c85e5861cb00b4ea2a663",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-17T17:31:06Z",
    "title_canon_sha256": "07d2b6406b9cdee494337237955d86bfe8f7944e02126ac5c70e4f2c589230f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19308",
    "kind": "arxiv",
    "version": 1
  }
}