{"paper":{"title":"Drift-Free Conservative Dynamics from Quantized Interaction Rules","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Conservation laws admit an exact discrete realization via antisymmetric integer-transfer operators on quantized states, enforcing invariance without round-off drift.","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Myungjoo Kang, Park Junhu, Youngsoo Ha","submitted_at":"2026-04-29T07:50:08Z","abstract_excerpt":"Conservation laws are conventionally discretized through floating-point flux evaluation, with invariants obtained by cancellation of approximate interface contributions and admissible weak solutions selected by reconstruction and Riemann solvers. Here we introduce an operator-level formulation in which conservative dynamics is realized as an exact discrete interaction rule on a quantized state space. The update is defined by an antisymmetric integer-transfer operator, which enforces conservation exactly at the arithmetic level and eliminates round-off drift from the primitive evolution. For sc"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"conservative dynamics admits an exact discrete realization in which both invariance and entropy selection are encoded at the operator level, rather than arising from approximate flux cancellation.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the antisymmetric integer-transfer operator can be constructed to preserve monotonicity and select admissible weak solutions for general conservation laws and systems without introducing new artifacts or losing accuracy.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Conservative dynamics is realized exactly through an antisymmetric integer-transfer operator on a quantized state space, eliminating round-off drift and selecting admissible shocks.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Conservation laws admit an exact discrete realization via antisymmetric integer-transfer operators on quantized states, enforcing invariance without round-off drift.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"329c89c4c6596f72aabff948bc32b0326fbb2f6478dc615457beb1832c4e64f6"},"source":{"id":"2604.26383","kind":"arxiv","version":3},"verdict":{"id":"16a15d9e-e0b9-4c5f-a7e4-eabb3c4a86f1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-12T01:46:31.761716Z","strongest_claim":"conservative dynamics admits an exact discrete realization in which both invariance and entropy selection are encoded at the operator level, rather than arising from approximate flux cancellation.","one_line_summary":"Conservative dynamics is realized exactly through an antisymmetric integer-transfer operator on a quantized state space, eliminating round-off drift and selecting admissible shocks.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the antisymmetric integer-transfer operator can be constructed to preserve monotonicity and select admissible weak solutions for general conservation laws and systems without introducing new artifacts or losing accuracy.","pith_extraction_headline":"Conservation laws admit an exact discrete realization via antisymmetric integer-transfer operators on quantized states, enforcing invariance without round-off drift."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.26383/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T00:37:41.888568Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:12:01.545919Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"6b0f3da20954c3f57cef7b0bd284fbd891c5f64999b0f08a2e18b5433ea1f41c"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}