{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MYKRM4ZFQ2AV66HLDAZCIEFYIG","short_pith_number":"pith:MYKRM4ZF","schema_version":"1.0","canonical_sha256":"661516732586815f78eb18322410b841b347abceeaa39abd5e2331a3916958ec","source":{"kind":"arxiv","id":"1703.05178","version":1},"attestation_state":"computed","paper":{"title":"Mathematical models for dispersive electromagnetic waves: an overview","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NA"],"primary_cat":"math.AP","authors_text":"Maryna Kachanovska, Maxence Cassier, Patrick Joly","submitted_at":"2017-03-15T14:35:09Z","abstract_excerpt":"In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathematical properties of the models. A particular attention is devoted to the notion of non-dissipativity and passivity. We consider successively the case of so-called local media and general passive media. The models are studied through energy techniques, spectral theory and dispersion analysis of plane waves. For making the article self-contained, we provide in appendix some useful mathematical background."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1703.05178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-15T14:35:09Z","cross_cats_sorted":["math-ph","math.MP","math.NA"],"title_canon_sha256":"fdcb694d297361f4ca4f5e89b6011a4af4973bad2c51cb8d26d1a3e30e0ae15a","abstract_canon_sha256":"76a8a3166edd87161ed28dc8bc1421a1236b1e7f87223dd9e820f55949b36f85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:38.143974Z","signature_b64":"4lpJqgaYV+9YNQgMUNm/NzkI73E0DSnbk+nyxnyA1U+iOrTlMreNLCdOrUtCSR69sOUIsNNCW4CGSWBW4XxLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"661516732586815f78eb18322410b841b347abceeaa39abd5e2331a3916958ec","last_reissued_at":"2026-05-18T00:48:38.143273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:38.143273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mathematical models for dispersive electromagnetic waves: an overview","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NA"],"primary_cat":"math.AP","authors_text":"Maryna Kachanovska, Maxence Cassier, Patrick Joly","submitted_at":"2017-03-15T14:35:09Z","abstract_excerpt":"In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathematical properties of the models. A particular attention is devoted to the notion of non-dissipativity and passivity. We consider successively the case of so-called local media and general passive media. The models are studied through energy techniques, spectral theory and dispersion analysis of plane waves. For making the article self-contained, we provide in appendix some useful mathematical background."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05178","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.05178","created_at":"2026-05-18T00:48:38.143388+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.05178v1","created_at":"2026-05-18T00:48:38.143388+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05178","created_at":"2026-05-18T00:48:38.143388+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYKRM4ZFQ2AV","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYKRM4ZFQ2AV66HL","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYKRM4ZF","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG","json":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG.json","graph_json":"https://pith.science/api/pith-number/MYKRM4ZFQ2AV66HLDAZCIEFYIG/graph.json","events_json":"https://pith.science/api/pith-number/MYKRM4ZFQ2AV66HLDAZCIEFYIG/events.json","paper":"https://pith.science/paper/MYKRM4ZF"},"agent_actions":{"view_html":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG","download_json":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG.json","view_paper":"https://pith.science/paper/MYKRM4ZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.05178&json=true","fetch_graph":"https://pith.science/api/pith-number/MYKRM4ZFQ2AV66HLDAZCIEFYIG/graph.json","fetch_events":"https://pith.science/api/pith-number/MYKRM4ZFQ2AV66HLDAZCIEFYIG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG/action/storage_attestation","attest_author":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG/action/author_attestation","sign_citation":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG/action/citation_signature","submit_replication":"https://pith.science/pith/MYKRM4ZFQ2AV66HLDAZCIEFYIG/action/replication_record"}},"created_at":"2026-05-18T00:48:38.143388+00:00","updated_at":"2026-05-18T00:48:38.143388+00:00"}