{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:MISDSHOBRREHEEZR42STD5FOYZ","short_pith_number":"pith:MISDSHOB","schema_version":"1.0","canonical_sha256":"6224391dc18c48721331e6a531f4aec641b2b26033257944a21c0531d75c2340","source":{"kind":"arxiv","id":"2606.07786","version":1},"attestation_state":"computed","paper":{"title":"Spectral structures of elastic-electromagnetic transmission eigenvalue problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hongyu Liu, Huaian Diao, Xinyu Ding, Yueran Geng","submitted_at":"2026-06-05T18:58:15Z","abstract_excerpt":"The time-harmonic elastic-electromagnetic interior transmission eigenvalue problem (EEITEP) arises when an elastic body becomes invisible to an incident electromagnetic wave. This spectral problem is typically non-elliptic and non-self-adjoint, making its analysis delicate. In this paper, we study the discreteness of transmission eigenvalues and the boundary localization of the associated eigenfunctions. For a general bounded Lipschitz domain, we prove that the set of positive transmission eigenvalues, if non-empty, is discrete with $\\infty$ as its only possible accumulation point. For a radia"},"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":"2606.07786","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-05T18:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"819031fc85e254aa9b6bd6fdb24a8c805ed6f53d839ad6d75d5b93e4b0414662","abstract_canon_sha256":"bf063d6f4d1d31e26ef77b9762ce8fedd8a19a89d86e2815ef5fa5f55368a824"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:04:52.185221Z","signature_b64":"mvhXWm4OXigLuFq/xVC12CrpSQNrAXjfGy5xJCG2lquGmHV8Qf3+U0yjMX3O662D5RnRkkTXOy0TyY4mmAg8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6224391dc18c48721331e6a531f4aec641b2b26033257944a21c0531d75c2340","last_reissued_at":"2026-06-09T01:04:52.184825Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:04:52.184825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral structures of elastic-electromagnetic transmission eigenvalue problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hongyu Liu, Huaian Diao, Xinyu Ding, Yueran Geng","submitted_at":"2026-06-05T18:58:15Z","abstract_excerpt":"The time-harmonic elastic-electromagnetic interior transmission eigenvalue problem (EEITEP) arises when an elastic body becomes invisible to an incident electromagnetic wave. This spectral problem is typically non-elliptic and non-self-adjoint, making its analysis delicate. In this paper, we study the discreteness of transmission eigenvalues and the boundary localization of the associated eigenfunctions. For a general bounded Lipschitz domain, we prove that the set of positive transmission eigenvalues, if non-empty, is discrete with $\\infty$ as its only possible accumulation point. For a radia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07786","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.07786/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.07786","created_at":"2026-06-09T01:04:52.184889+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.07786v1","created_at":"2026-06-09T01:04:52.184889+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07786","created_at":"2026-06-09T01:04:52.184889+00:00"},{"alias_kind":"pith_short_12","alias_value":"MISDSHOBRREH","created_at":"2026-06-09T01:04:52.184889+00:00"},{"alias_kind":"pith_short_16","alias_value":"MISDSHOBRREHEEZR","created_at":"2026-06-09T01:04:52.184889+00:00"},{"alias_kind":"pith_short_8","alias_value":"MISDSHOB","created_at":"2026-06-09T01:04:52.184889+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/MISDSHOBRREHEEZR42STD5FOYZ","json":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ.json","graph_json":"https://pith.science/api/pith-number/MISDSHOBRREHEEZR42STD5FOYZ/graph.json","events_json":"https://pith.science/api/pith-number/MISDSHOBRREHEEZR42STD5FOYZ/events.json","paper":"https://pith.science/paper/MISDSHOB"},"agent_actions":{"view_html":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ","download_json":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ.json","view_paper":"https://pith.science/paper/MISDSHOB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.07786&json=true","fetch_graph":"https://pith.science/api/pith-number/MISDSHOBRREHEEZR42STD5FOYZ/graph.json","fetch_events":"https://pith.science/api/pith-number/MISDSHOBRREHEEZR42STD5FOYZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ/action/storage_attestation","attest_author":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ/action/author_attestation","sign_citation":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ/action/citation_signature","submit_replication":"https://pith.science/pith/MISDSHOBRREHEEZR42STD5FOYZ/action/replication_record"}},"created_at":"2026-06-09T01:04:52.184889+00:00","updated_at":"2026-06-09T01:04:52.184889+00:00"}