Pith Number

pith:K2YGPTIO

pith:2026:K2YGPTIO5QFUD3TM65GB4NLRCJ

not attested not anchored not stored refs pending

Collective cooperation without individual fidelity in LLM agents

Alberto Aleta, Carlos Gracia L\'azaro, Henrique Ferraz de Arruda, Yamir Moreno

arxiv:2606.30454 v1 · 2026-06-29 · physics.soc-ph · 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{K2YGPTIO5QFUD3TM65GB4NLRCJ}

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	2026-06-30T02:18:15.736198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b067cd0eec0b41ee6cf74c1e357112446bfb6f1c65ab2d052647629c156efc

Aliases

arxiv: 2606.30454 · arxiv_version: 2606.30454v1 · doi: 10.48550/arxiv.2606.30454 · pith_short_12: K2YGPTIO5QFU · pith_short_16: K2YGPTIO5QFUD3TM · pith_short_8: K2YGPTIO

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/K2YGPTIO5QFUD3TM65GB4NLRCJ \
  | 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: 56b067cd0eec0b41ee6cf74c1e357112446bfb6f1c65ab2d052647629c156efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a42370a13999d25eb7f6e87fe4c71df5dba668507924b285ac0f2f7b269ab8",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-06-29T15:22:21Z",
    "title_canon_sha256": "fc6b0bf6a469be43ac7d95721f3577d6230eef589da14c7dfd90e52aa1482ebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30454",
    "kind": "arxiv",
    "version": 1
  }
}