{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WZVTSGZJES4BOOCX7YL6L3EXCE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"19deaacce93619ab88e8da9d7065ae311cf935357bf7e3f845df35e94a50c45a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2025-07-09T22:50:18Z","title_canon_sha256":"dcd14de4c19006700ec1098832fec6c3bff618ffb4f28029af6fc673236715a2"},"schema_version":"1.0","source":{"id":"2507.16830","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.16830","created_at":"2026-05-20T00:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"2507.16830v5","created_at":"2026-05-20T00:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.16830","created_at":"2026-05-20T00:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"WZVTSGZJES4B","created_at":"2026-05-20T00:00:22Z"},{"alias_kind":"pith_short_16","alias_value":"WZVTSGZJES4BOOCX","created_at":"2026-05-20T00:00:22Z"},{"alias_kind":"pith_short_8","alias_value":"WZVTSGZJ","created_at":"2026-05-20T00:00:22Z"}],"graph_snapshots":[{"event_id":"sha256:4b0e9cc2b2c00091eb82efdf2e522bed57ea659df1b75a6197806a943bc0de2d","target":"graph","created_at":"2026-05-20T00:00:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"Notably, with sinusoidal coupling, we find that non-periodic behavior is preserved under both treatments of the imaginary unit; however, with decreasing fractional order, the non-periodic dynamics can be suppressed."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That replacing the ordinary time derivative in the Schrödinger equation with a fractional derivative (via the two specified treatments of the imaginary unit) yields a physically meaningful description of the light-matter system."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Applies fractional time to the time-dependent Jaynes-Cummings model and examines effects on population inversion and entanglement across constant, linear, exponential, and sinusoidal couplings."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A fractional time derivative in the Schrödinger equation for a time-dependent Jaynes-Cummings system produces damped oscillations or asymptotic decay in population inversion and modifies entanglement, with sinusoidal coupling preserving but"}],"snapshot_sha256":"ed5444058c624dad8dd3fd86480f1f1ac183544431b730e5f0624dda1a32ac73"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"6ac1ef843d113053184576b7e52302730a61c5bbe137a18abfbb3fd44c248d66"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.16830/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the fractional time description of a generalized quantum light-matter system modeled by a time-dependent Jaynes-Cummings (JC) interaction, with different coupling types: constant, linear, exponential, and sinusoidal. Two formulations of the time fractional Schr\\\"odinger equation (TFSE) are examined, with a focus on their impact on population inversion and entanglement. Our findings highlight that the introduction of fractional order introduces memory effects, associated with damped oscillations and asymptotic decay. Furthermore, we find that the time-dependent couplings, combine","authors_text":"Antonio S. M. de Castro, Danilo Cius, Enrique C. Gabrick, Ervin K. Lenzi, Fabiano M. Andrade, Thiago T. Tsutsui","cross_cats":[],"headline":"A fractional time derivative in the Schrödinger equation for a time-dependent Jaynes-Cummings system produces damped oscillations or asymptotic decay in population inversion and modifies entanglement, with sinusoidal coupling preserving but","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2025-07-09T22:50:18Z","title":"Non-Markovian Light-Matter Dynamics in the Time Fractional Jaynes-Cummings Model with Modulated Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.16830","kind":"arxiv","version":5},"verdict":{"created_at":"2026-05-19T06:19:56.132502Z","id":"046570b6-adbe-4ece-b66f-ec05349cb8fe","model_set":{"reader":"grok-4.3"},"one_line_summary":"Applies fractional time to the time-dependent Jaynes-Cummings model and examines effects on population inversion and entanglement across constant, linear, exponential, and sinusoidal couplings.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A fractional time derivative in the Schrödinger equation for a time-dependent Jaynes-Cummings system produces damped oscillations or asymptotic decay in population inversion and modifies entanglement, with sinusoidal coupling preserving but","strongest_claim":"Notably, with sinusoidal coupling, we find that non-periodic behavior is preserved under both treatments of the imaginary unit; however, with decreasing fractional order, the non-periodic dynamics can be suppressed.","weakest_assumption":"That replacing the ordinary time derivative in the Schrödinger equation with a fractional derivative (via the two specified treatments of the imaginary unit) yields a physically meaningful description of the light-matter system."}},"verdict_id":"046570b6-adbe-4ece-b66f-ec05349cb8fe"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aa76a6f33e9d312457373633f47791f1efa448c76196845aeedecd1bfb107ce4","target":"record","created_at":"2026-05-20T00:00:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"19deaacce93619ab88e8da9d7065ae311cf935357bf7e3f845df35e94a50c45a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2025-07-09T22:50:18Z","title_canon_sha256":"dcd14de4c19006700ec1098832fec6c3bff618ffb4f28029af6fc673236715a2"},"schema_version":"1.0","source":{"id":"2507.16830","kind":"arxiv","version":5}},"canonical_sha256":"b66b391b2924b8173857fe17e5ec9711088293a0159515549b0d3856459388ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b66b391b2924b8173857fe17e5ec9711088293a0159515549b0d3856459388ad","first_computed_at":"2026-05-20T00:00:22.405864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:00:22.405864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HM0RJ0NHtvn/DY1BV8xkDz2jU59JAbZ3gQs15J8KLDw93PVf+JZ2vZvCnba7EwfcwCOM9DrA/bzEaTyIZO0pAw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:00:22.406638Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.16830","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa76a6f33e9d312457373633f47791f1efa448c76196845aeedecd1bfb107ce4","sha256:4b0e9cc2b2c00091eb82efdf2e522bed57ea659df1b75a6197806a943bc0de2d"],"state_sha256":"667ebb7fb167d6a892d66f24108932e0f09bf1d680ce75be46e824baea988c31"}