Pith Number

pith:BOMQXC5P

pith:2026:BOMQXC5PH5ZEW2XYTM4ZILJFLW

not attested not anchored not stored refs pending

Payoff scaling shapes cooperation in LLM agents across languages

Alessio Buscemi, Chi-Nguyen Tran, Dao-Sy Duy-Minh, Gia-Thoai Tran-Le, Hong-Dan Nguyen, Hong-Phat Pham, Huy Tran, Le Hong Trang, Minh-Luan Nguyen-Vo, Phong-Hao Le, Phu-Hoa Pham, Phu-Quy Nguyen-Lam, Thanh-Bang Cao, The Anh Han, Thien-Kim Than, Trung-Kiet Huynh

arxiv:2601.19082 v2 · 2026-01-27 · cs.AI · cs.CL · cs.GT · cs.LG · 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{BOMQXC5PH5ZEW2XYTM4ZILJFLW}

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.

Cited by

1 paper in Pith

Large language models converge on competitive rationality but diverge on cooperation across providers and generations

Receipt and verification

First computed	2026-06-09T01:05:13.247868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b990b8baf3f724b6af89b39942d255d80e1878c8a3d5b9d25108ac200f72089

Aliases

arxiv: 2601.19082 · arxiv_version: 2601.19082v2 · doi: 10.48550/arxiv.2601.19082 · pith_short_12: BOMQXC5PH5ZE · pith_short_16: BOMQXC5PH5ZEW2XY · pith_short_8: BOMQXC5P

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/BOMQXC5PH5ZEW2XYTM4ZILJFLW \
  | 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: 0b990b8baf3f724b6af89b39942d255d80e1878c8a3d5b9d25108ac200f72089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2413242108f476c619c02b379f204edfd9d18d049202aaf5f1a1070cfeec24e4",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.GT",
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-01-27T01:36:50Z",
    "title_canon_sha256": "00207105bcb4d4d9af6500cb9b1757d3430146a082e4116bd24ad212df12197f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19082",
    "kind": "arxiv",
    "version": 2
  }
}