Pith Number

pith:HCJSK6H6

pith:2026:HCJSK6H6FTZJ473FEIXUAYTM56

not attested not anchored not stored refs resolved

CHAL: Council of Hierarchical Agentic Language

Griffin D. Kent, Tommaso Giovannelli

CHAL reframes multi-agent LLM debate as structured belief optimization over domains where any position remains open to defeat by better reasoning.

arxiv:2605.12718 v1 · 2026-05-12 · cs.AI · cs.LG · cs.MA

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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.

Claims

C1strongest claim

CHAL is, to our knowledge, the first framework to treat multi-agent debate as structured belief optimization over defeasible domains.

C2weakest assumption

The assumption that LLMs can reliably maintain and perform gradient-informed revision on graph-structured CHAL Belief Schemas while treating meta-cognitive value systems as stable, effective hyperparameters without introducing inconsistencies or losing coherence.

C3one line summary

CHAL is a multi-agent dialectic system that performs structured belief optimization over defeasible domains using Bayesian-inspired graph representations and configurable meta-cognitive value system hyperparameters.

References

236 extracted · 236 resolved · 17 Pith anchors

[1] E. Akata, L. Schulz, J. Coda-Forno, S. J. Oh, M. Bethge, and E. Schulz. Playing repeated games with large language models.Nature Human Behaviour, 9:1380–1390, 2025 2025

[2] C. E. Alchourrón, P. Gärdenfors, and D. Makinson. On the logic of theory change: Partial meet contraction and revision functions.The Journal of Symbolic Logic, 50:510–530, 1985 1985

[3] Claude: A large language model by anthropic 2023

[4] B. Arguello, E. S. Johnson, and J. L. Gearhart. A trilevel model for segmentation of the power transmission grid cyber network.IEEE Syst. J., 17:419–430, 2023 2023

[5] Aristotle.Nicomachean Ethics. 1985. Translated by T. Irwin (Hackett Publishing, 1985) 1985

Formal links

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Receipt and verification

First computed	2026-05-18T03:09:49.444371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38932578fe2cf29e7f65222f40626cef8d6fcffb16e881e2fbad415b7e092b1d

Aliases

arxiv: 2605.12718 · arxiv_version: 2605.12718v1 · doi: 10.48550/arxiv.2605.12718 · pith_short_12: HCJSK6H6FTZJ · pith_short_16: HCJSK6H6FTZJ473F · pith_short_8: HCJSK6H6

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/HCJSK6H6FTZJ473FEIXUAYTM56 \
  | 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: 38932578fe2cf29e7f65222f40626cef8d6fcffb16e881e2fbad415b7e092b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fd53ebae20231909d39e5d6478e30573cd4e356c2240af5d132e0010238f01",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-12T20:26:41Z",
    "title_canon_sha256": "2e840efc0d7c061b00c95e5ca70446ca5840540306f91c3970315feceba5fcf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12718",
    "kind": "arxiv",
    "version": 1
  }
}