{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MISDSHOBRREHEEZR42STD5FOYZ","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":"bf063d6f4d1d31e26ef77b9762ce8fedd8a19a89d86e2815ef5fa5f55368a824","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-05T18:58:15Z","title_canon_sha256":"819031fc85e254aa9b6bd6fdb24a8c805ed6f53d839ad6d75d5b93e4b0414662"},"schema_version":"1.0","source":{"id":"2606.07786","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07786","created_at":"2026-06-09T01:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07786v1","created_at":"2026-06-09T01:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07786","created_at":"2026-06-09T01:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"MISDSHOBRREH","created_at":"2026-06-09T01:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"MISDSHOBRREHEEZR","created_at":"2026-06-09T01:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"MISDSHOB","created_at":"2026-06-09T01:04:52Z"}],"graph_snapshots":[{"event_id":"sha256:63f6f1f3686679b800d005e21b1b19ab9702d7c364aa654158730b6abd6d7d3e","target":"graph","created_at":"2026-06-09T01:04:52Z","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/2606.07786/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Hongyu Liu, Huaian Diao, Xinyu Ding, Yueran Geng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-05T18:58:15Z","title":"Spectral structures of elastic-electromagnetic transmission eigenvalue problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07786","kind":"arxiv","version":1},"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:e3ee01c5f800018fb05d78a7710867818aeaebd7d8c65f269ae09a6b4c8d1cd1","target":"record","created_at":"2026-06-09T01:04:52Z","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":"bf063d6f4d1d31e26ef77b9762ce8fedd8a19a89d86e2815ef5fa5f55368a824","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-05T18:58:15Z","title_canon_sha256":"819031fc85e254aa9b6bd6fdb24a8c805ed6f53d839ad6d75d5b93e4b0414662"},"schema_version":"1.0","source":{"id":"2606.07786","kind":"arxiv","version":1}},"canonical_sha256":"6224391dc18c48721331e6a531f4aec641b2b26033257944a21c0531d75c2340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6224391dc18c48721331e6a531f4aec641b2b26033257944a21c0531d75c2340","first_computed_at":"2026-06-09T01:04:52.184825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:04:52.184825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mvhXWm4OXigLuFq/xVC12CrpSQNrAXjfGy5xJCG2lquGmHV8Qf3+U0yjMX3O662D5RnRkkTXOy0TyY4mmAg8BA==","signature_status":"signed_v1","signed_at":"2026-06-09T01:04:52.185221Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.07786","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3ee01c5f800018fb05d78a7710867818aeaebd7d8c65f269ae09a6b4c8d1cd1","sha256:63f6f1f3686679b800d005e21b1b19ab9702d7c364aa654158730b6abd6d7d3e"],"state_sha256":"c77430ee9f78727cb77400d76378461a2f328362edfb57b94b785054001fe932"}