{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LFKNQ7VO3A56M2YCXQ3ZKLKJEC","short_pith_number":"pith:LFKNQ7VO","schema_version":"1.0","canonical_sha256":"5954d87eaed83be66b02bc37952d4920b0058828849df9ead3c9c38eb2a66d27","source":{"kind":"arxiv","id":"1512.05838","version":3},"attestation_state":"computed","paper":{"title":"Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Aaron Welters, Graeme W. Milton, Maxence Cassier","submitted_at":"2015-12-18T01:12:09Z","abstract_excerpt":"In this chapter of the book entitled, \"Extending the Theory of Composites to Other Areas of Science\" [edited by Graeme W. Milton, 2016] we derive the analyticity properties of the electromagnetic Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations for passive linear multicomponent media. Moreover, we discuss the connection of this map to Herglotz functions for isotropic and anisotropic multicomponent composites."},"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":"1512.05838","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-18T01:12:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7637700d7ca198a720f59dce0b555e90a7ba330fa4980aba19903209d9d71a20","abstract_canon_sha256":"25815550296d4d6dc6b45e4c647fa44ef85d1c9d0da20d347ad32a0adaac8f06"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:56.645054Z","signature_b64":"/EeDOb4QaX2SEplDg+vITFyUpXvCIYKbEGoMSB92CxKbYm+nYjzh55JrS/xTvc7pU3Ue6RNq/qbS1SMdBCH+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5954d87eaed83be66b02bc37952d4920b0058828849df9ead3c9c38eb2a66d27","last_reissued_at":"2026-05-18T01:02:56.644521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:56.644521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Aaron Welters, Graeme W. Milton, Maxence Cassier","submitted_at":"2015-12-18T01:12:09Z","abstract_excerpt":"In this chapter of the book entitled, \"Extending the Theory of Composites to Other Areas of Science\" [edited by Graeme W. Milton, 2016] we derive the analyticity properties of the electromagnetic Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations for passive linear multicomponent media. Moreover, we discuss the connection of this map to Herglotz functions for isotropic and anisotropic multicomponent composites."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05838","kind":"arxiv","version":3},"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":"1512.05838","created_at":"2026-05-18T01:02:56.644598+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.05838v3","created_at":"2026-05-18T01:02:56.644598+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05838","created_at":"2026-05-18T01:02:56.644598+00:00"},{"alias_kind":"pith_short_12","alias_value":"LFKNQ7VO3A56","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LFKNQ7VO3A56M2YC","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LFKNQ7VO","created_at":"2026-05-18T12:29:29.992203+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/LFKNQ7VO3A56M2YCXQ3ZKLKJEC","json":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC.json","graph_json":"https://pith.science/api/pith-number/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/graph.json","events_json":"https://pith.science/api/pith-number/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/events.json","paper":"https://pith.science/paper/LFKNQ7VO"},"agent_actions":{"view_html":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC","download_json":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC.json","view_paper":"https://pith.science/paper/LFKNQ7VO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.05838&json=true","fetch_graph":"https://pith.science/api/pith-number/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/graph.json","fetch_events":"https://pith.science/api/pith-number/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/action/storage_attestation","attest_author":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/action/author_attestation","sign_citation":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/action/citation_signature","submit_replication":"https://pith.science/pith/LFKNQ7VO3A56M2YCXQ3ZKLKJEC/action/replication_record"}},"created_at":"2026-05-18T01:02:56.644598+00:00","updated_at":"2026-05-18T01:02:56.644598+00:00"}