{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:MLS3KFYMQIIKGXK2SDIMF4TI3K","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":"dfcc29e950ad8263f990be11d9bee5c12016a128ed471bd946851a6792ce1968","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2022-06-15T16:42:45Z","title_canon_sha256":"bc86fb1bbd3a042169cc4bceee107416e3ba8dc831a8dbf6db1be54e93db16c8"},"schema_version":"1.0","source":{"id":"2206.07644","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.07644","created_at":"2026-07-05T05:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"2206.07644v2","created_at":"2026-07-05T05:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.07644","created_at":"2026-07-05T05:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"MLS3KFYMQIIK","created_at":"2026-07-05T05:21:25Z"},{"alias_kind":"pith_short_16","alias_value":"MLS3KFYMQIIKGXK2","created_at":"2026-07-05T05:21:25Z"},{"alias_kind":"pith_short_8","alias_value":"MLS3KFYM","created_at":"2026-07-05T05:21:25Z"}],"graph_snapshots":[{"event_id":"sha256:620bbe379b0a38520d85f079ecf491805cff01da580d35e368d59ff332455e82","target":"graph","created_at":"2026-07-05T05:21:25Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.07644/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish spectral enclosures and spectral approximation results for the inhomogeneous lossy Drude-Lorentz system with purely imaginary poles, in a possibly unbounded Lipschitz domain of $\\mathbb{R}^3$. Under the assumption that the coefficients $\\theta_e$, $\\theta_m$ of the material are asymptotically constant at infinity, we prove that: 1) the essential spectrum can be decomposed as the union of the spectrum of a bounded operator pencil in the form $- \\operatorname{div} p(\\omega) \\nabla$ and of a second order $\\operatorname{curl} \\operatorname{curl}_0 - V_{e,\\infty}(\\omega)$ pencil with c","authors_text":"Francesco Ferraresso, Marco Marletta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2022-06-15T16:42:45Z","title":"Spectral properties of the inhomogeneous Drude-Lorentz model with dissipation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.07644","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d63544757c451e89925758c890e4dec823671c1c13187904cf2952320fb76c49","target":"record","created_at":"2026-07-05T05:21:25Z","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":"dfcc29e950ad8263f990be11d9bee5c12016a128ed471bd946851a6792ce1968","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2022-06-15T16:42:45Z","title_canon_sha256":"bc86fb1bbd3a042169cc4bceee107416e3ba8dc831a8dbf6db1be54e93db16c8"},"schema_version":"1.0","source":{"id":"2206.07644","kind":"arxiv","version":2}},"canonical_sha256":"62e5b5170c8210a35d5a90d0c2f268da842162b4562c5114d6aa7479e3c62154","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62e5b5170c8210a35d5a90d0c2f268da842162b4562c5114d6aa7479e3c62154","first_computed_at":"2026-07-05T05:21:25.965936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:21:25.965936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCtifiUSLbKw6rFWp0nvP+0LVfiz4tsmzrnm32NhMxGhxsPCwnYLFf8mtt1TITdPMwoM0kSWLEcuNNEfDDkbDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:21:25.966469Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.07644","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d63544757c451e89925758c890e4dec823671c1c13187904cf2952320fb76c49","sha256:620bbe379b0a38520d85f079ecf491805cff01da580d35e368d59ff332455e82"],"state_sha256":"58f61fbebd072ba4560226e00c843279487798d947c81d48323b1548d9cf964d"}