{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RPMVTW7OM2W6P43GKUISCD6JBD","short_pith_number":"pith:RPMVTW7O","schema_version":"1.0","canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","source":{"kind":"arxiv","id":"1706.08122","version":1},"attestation_state":"computed","paper":{"title":"Evolution of time-harmonic electromagnetic and acoustic waves along waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andreas Ros\\'en, Medet Nursultanov","submitted_at":"2017-06-25T15:21:48Z","abstract_excerpt":"We study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wave evolution along the cylinder, and prove estimates of the functional calculi of these first order non-self adjoint differential operators with non-smooth coefficients. Applying our new functional calculus, we obtain a one-to-one correspondence between polynomially bounded time-harmonic waves and functions in appropriate spectral subspaces."},"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":"1706.08122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-25T15:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"15156198755d558ff81b9ef1ee6081d62734e3e013ac5f835717f38f23465d86","abstract_canon_sha256":"0316ce29e290eea21c515cd124e82865c00fee8e659663cae52ae853dd858d46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:43.466351Z","signature_b64":"G47cOVbXAUfbRem+uq7V18rza60+hz/s7lwDkKXRDBEGdiHPQAZpTtA6ZU6wcXENNxT05s1Hrq+6lpFhWw0vAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bd959dbee66ade7f3665511210fc908e5d99b524cc0baaf2e87c1e46ed658e2","last_reissued_at":"2026-05-18T00:41:43.465896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:43.465896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution of time-harmonic electromagnetic and acoustic waves along waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andreas Ros\\'en, Medet Nursultanov","submitted_at":"2017-06-25T15:21:48Z","abstract_excerpt":"We study time-harmonic electromagnetic and acoustic waveguides, modeled by an infinite cylinder with a non-smooth cross section. We introduce an infinitesimal generator for the wave evolution along the cylinder, and prove estimates of the functional calculi of these first order non-self adjoint differential operators with non-smooth coefficients. Applying our new functional calculus, we obtain a one-to-one correspondence between polynomially bounded time-harmonic waves and functions in appropriate spectral subspaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08122","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":"1706.08122","created_at":"2026-05-18T00:41:43.465966+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08122v1","created_at":"2026-05-18T00:41:43.465966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08122","created_at":"2026-05-18T00:41:43.465966+00:00"},{"alias_kind":"pith_short_12","alias_value":"RPMVTW7OM2W6","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RPMVTW7OM2W6P43G","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RPMVTW7O","created_at":"2026-05-18T12:31:39.905425+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/RPMVTW7OM2W6P43GKUISCD6JBD","json":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD.json","graph_json":"https://pith.science/api/pith-number/RPMVTW7OM2W6P43GKUISCD6JBD/graph.json","events_json":"https://pith.science/api/pith-number/RPMVTW7OM2W6P43GKUISCD6JBD/events.json","paper":"https://pith.science/paper/RPMVTW7O"},"agent_actions":{"view_html":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD","download_json":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD.json","view_paper":"https://pith.science/paper/RPMVTW7O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08122&json=true","fetch_graph":"https://pith.science/api/pith-number/RPMVTW7OM2W6P43GKUISCD6JBD/graph.json","fetch_events":"https://pith.science/api/pith-number/RPMVTW7OM2W6P43GKUISCD6JBD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/action/storage_attestation","attest_author":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/action/author_attestation","sign_citation":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/action/citation_signature","submit_replication":"https://pith.science/pith/RPMVTW7OM2W6P43GKUISCD6JBD/action/replication_record"}},"created_at":"2026-05-18T00:41:43.465966+00:00","updated_at":"2026-05-18T00:41:43.465966+00:00"}