Pith Number

pith:46PDZNA7

pith:2026:46PDZNA7JTEYABL6NP2ZWRWWY5

not attested not anchored not stored refs pending

No Certificate, No Categorical Speech Act: A Brouwerian Assertibility Constraint for Public Reason

Michael J\"ulich

AI systems in high-stakes settings must return Undetermined unless they can supply a publicly inspectable certificate of entitlement to their claims.

arxiv:2603.03971 v3 · 2026-03-04 · cs.CY · cs.AI · cs.LG · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46PDZNA7JTEYABL6NP2ZWRWWY5}

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.

Claims

C1strongest claim

in high-stakes domains, systems may assert or deny claims only if they can provide a publicly inspectable and contestable certificate of entitlement; otherwise they must return Undetermined.

C2weakest assumption

That producing and maintaining publicly inspectable certificates is technically and socially feasible for deployed generative models and that this mechanism will actually preserve rather than merely reconfigure epistemic agency.

C3one line summary

AI systems should output Asserted, Denied, or Undetermined based on the availability of a contestable certificate of entitlement rather than confidence scores alone.

Receipt and verification

First computed	2026-06-24T01:15:01.541163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79e3cb41f4cc980057e6bf59b46d6c74f86af71d57e84ac0d3094b620f4f74d

Aliases

arxiv: 2603.03971 · arxiv_version: 2603.03971v3 · doi: 10.48550/arxiv.2603.03971 · pith_short_12: 46PDZNA7JTEY · pith_short_16: 46PDZNA7JTEYABL6 · pith_short_8: 46PDZNA7

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/46PDZNA7JTEYABL6NP2ZWRWWY5 \
  | 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: e79e3cb41f4cc980057e6bf59b46d6c74f86af71d57e84ac0d3094b620f4f74d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b63cca9ae46eb1d5464a86a1e3220a969975e9c8f79d77161bc661e1de3a03",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2026-03-04T12:14:21Z",
    "title_canon_sha256": "345806efbaf1fda7dd65652ffd47a24b72f43110fc2f3ecaa697806c6321078b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03971",
    "kind": "arxiv",
    "version": 3
  }
}