{"paper":{"title":"Testing Catability and Coherent Superposition of $2\\mathcal{D}$ Graphene Quantum system","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"A new functional called catability, built from Lie algebra symmetries and Green function propagation, measures phase-dependent coherence and interference stability in graphene superpositions.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Abdelmalek Bouzenada","submitted_at":"2026-05-08T11:19:15Z","abstract_excerpt":"We develop a theoretical framework for describing superposed coherent states in graphene quantum systems using the concept of catability as a phase-sensitive metric functional measure. In this case, the formalism quantifies interference stability and coherence structure via phase-dependent contributions of quantum superposition states. Catability is defined as a functional measure sensitive to relative phase variations within coherent state combinations, serving as a diagnostic tool for quantum interference effects in graphene-based systems. Also, the formulation is extended using Lie algebra "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"A unified framework combining Lie algebraic symmetry analysis with Green function propagation theory yields a consistent description of phase-sensitive catability in complex graphene quantum configurations.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the newly defined catability functional actually captures physically meaningful interference stability and coherence structure in graphene systems beyond standard quantum measures, without additional validation or derivation from first principles.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new functional metric called catability is defined to measure phase-dependent coherence and interference in graphene quantum superpositions using Lie algebra and Green function methods.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A new functional called catability, built from Lie algebra symmetries and Green function propagation, measures phase-dependent coherence and interference stability in graphene superpositions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"55595d1e0cb304e060c9b11a7f32269e43620835ae4f606a6144070fd0ff0f21"},"source":{"id":"2605.10967","kind":"arxiv","version":2},"verdict":{"id":"f21fb4bb-e41f-440c-b74f-05a7d87ad2a7","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-13T00:55:40.495626Z","strongest_claim":"A unified framework combining Lie algebraic symmetry analysis with Green function propagation theory yields a consistent description of phase-sensitive catability in complex graphene quantum configurations.","one_line_summary":"A new functional metric called catability is defined to measure phase-dependent coherence and interference in graphene quantum superpositions using Lie algebra and Green function methods.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the newly defined catability functional actually captures physically meaningful interference stability and coherence structure in graphene systems beyond standard quantum measures, without additional validation or derivation from first principles.","pith_extraction_headline":"A new functional called catability, built from Lie algebra symmetries and Green function propagation, measures phase-dependent coherence and interference stability in graphene superpositions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.10967/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T10:42:02.809732Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-20T05:38:36.435205Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T16:01:18.998733Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T11:40:48.676486Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"83e7c52aa1601be89a7e8f2226f4ba038a0f4c8a3128d6f30a049e67158b7688"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"805b981870b4e9fbb525525ea138e67a0278b6caf6626f39cc534b1b38615d62"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}