Pith Number

pith:7MJ26HBN

pith:2026:7MJ26HBNICLNZIH6EDSJLLQ5LQ

not attested not anchored not stored refs pending

Defeasible Conditional Obligation in a Two-tiered Preference-based Semantics (Extended Version)

Xavier Parent

A two-tiered preference semantics with separate ideality and normality orderings models defeasible conditional obligations that withdraw with new conflicting information.

arxiv:2604.26977 v2 · 2026-04-28 · cs.LO · cs.AI

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\usepackage{pith}
\pithnumber{7MJ26HBNICLNZIH6EDSJLLQ5LQ}

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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

The account is bi-preferential: two orderings--ideality and normality--on worlds are employed to address shortcomings in earlier approaches, with a separate ranking method for each.

C2weakest assumption

That the incorporation of a nonmonotonic reasoning mechanism via the two separate orderings (ideality and normality) with their respective ranking methods correctly enables withdrawal of obligations upon new conflicting information without introducing inconsistencies.

C3one line summary

A bi-preferential semantics with ideality and normality orderings models defeasible conditional obligations and connects to constrained input/output logic.

Receipt and verification

First computed	2026-06-02T03:04:41.629098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb13af1c2d4096dca0fe20e495ae1d5c3acf189e09fac08d7cc9a5c855edc78a

Aliases

arxiv: 2604.26977 · arxiv_version: 2604.26977v2 · doi: 10.48550/arxiv.2604.26977 · pith_short_12: 7MJ26HBNICLN · pith_short_16: 7MJ26HBNICLNZIH6 · pith_short_8: 7MJ26HBN

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/7MJ26HBNICLNZIH6EDSJLLQ5LQ \
  | 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: fb13af1c2d4096dca0fe20e495ae1d5c3acf189e09fac08d7cc9a5c855edc78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9497cb6e78ed1f41ddbd52e696f1d5ee122d8512a197bb881f828732a573ec83",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-04-28T11:04:26Z",
    "title_canon_sha256": "72f6dbf69c1cd8bf08098c46dd0f49894fbce2721df33cd5f7708fbf156b5970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26977",
    "kind": "arxiv",
    "version": 2
  }
}