Pith Number

pith:OBEXHO2M

pith:2026:OBEXHO2MWJWOAB2NHLZ6YFL6UR

not attested not anchored not stored refs resolved

Biprofile Deviation Logic: Report-Replacement Frames and Audit Witnesses

Baris Basaran, Faruk Alpay

Biprofile deviation logic proves sound and complete for abstract report-replacement frames Dev(N).

arxiv:2605.12537 v1 · 2026-05-04 · cs.LO · cs.GT

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\usepackage{pith}
\pithnumber{OBEXHO2MWJWOAB2NHLZ6YFL6UR}

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Record completeness

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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 paper proves soundness and completeness of H_bp for the abstract frame class Dev(N), with the reverse-composition midpoint displayed inside the canonical proof. It then separates abstract Dev(N)-components from genuine report-coordinate products by coordinate separation.

C2weakest assumption

The coalition modalities satisfy the fixed law E_C ∘ E_D = E_{C ∪ D} for all coalitions C and D.

C3one line summary

Biprofile deviation logic proves soundness and completeness of H_bp for Dev(N) frames and introduces typed manipulation witnesses, boundary-row theorem, and factor-closure criterion for auditing report changes.

References

28 extracted · 28 resolved · 0 Pith anchors

[1] Representations of Political Power Structures by Strategically Stable Game Forms: A Survey.Games2017,8(4), 46 · doi:10.3390/g8040046

[2] Knowledge-Theoretic Properties of Strategic Voting 2004 · doi:10.1007/978-3-540-30227-8_5

[3] Strategic Voting and the Logic of Knowledge 2013

[4] Reasoning about Social Choice Functions · doi:10.1007/s10992-011-

[5] Proving Classical Theorems of Social Choice Theory in Modal Logic.Autonomous Agents and Multi-Agent Systems2016,30(5), 963–989 · doi:10.1007/s10458-016-9328-6

Receipt and verification

First computed	2026-05-18T03:10:02.434637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

704973bb4cb26ce0074d3af3ec157ea4510429f7b949fff19dce7e1255a55495

Aliases

arxiv: 2605.12537 · arxiv_version: 2605.12537v1 · doi: 10.48550/arxiv.2605.12537 · pith_short_12: OBEXHO2MWJWO · pith_short_16: OBEXHO2MWJWOAB2N · pith_short_8: OBEXHO2M

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/OBEXHO2MWJWOAB2NHLZ6YFL6UR \
  | 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: 704973bb4cb26ce0074d3af3ec157ea4510429f7b949fff19dce7e1255a55495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d7a7e3771211e408f6cfa039a580f1af642a5cc6869acfec7bd67838eca8f1",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-04T10:56:27Z",
    "title_canon_sha256": "27d581700bde558de298e0f6fed1afc91030612206810cbb91d51060606e5740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12537",
    "kind": "arxiv",
    "version": 1
  }
}