{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KWNZVPU4WUNTC5UR4OZXJPRPUP","short_pith_number":"pith:KWNZVPU4","canonical_record":{"source":{"id":"2606.28979","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-06-27T15:29:38Z","cross_cats_sorted":[],"title_canon_sha256":"5994a5feb04c3af56fbfd2adce8379f9da89fdd12e1906c749646fb44b46e8ee","abstract_canon_sha256":"8f57dafda11813184f672e2f92da0539fa0fa6688aa9be3d3fc08b36d189fd38"},"schema_version":"1.0"},"canonical_sha256":"559b9abe9cb51b317691e3b374be2fa3ea6df7f33771fd87b5fcfc6e2a0e5f20","source":{"kind":"arxiv","id":"2606.28979","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28979","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28979v1","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28979","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"KWNZVPU4WUNT","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"KWNZVPU4WUNTC5UR","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"KWNZVPU4","created_at":"2026-06-30T01:17:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KWNZVPU4WUNTC5UR4OZXJPRPUP","target":"record","payload":{"canonical_record":{"source":{"id":"2606.28979","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-06-27T15:29:38Z","cross_cats_sorted":[],"title_canon_sha256":"5994a5feb04c3af56fbfd2adce8379f9da89fdd12e1906c749646fb44b46e8ee","abstract_canon_sha256":"8f57dafda11813184f672e2f92da0539fa0fa6688aa9be3d3fc08b36d189fd38"},"schema_version":"1.0"},"canonical_sha256":"559b9abe9cb51b317691e3b374be2fa3ea6df7f33771fd87b5fcfc6e2a0e5f20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:17:47.937281Z","signature_b64":"lhrYKj72OpKIOQKzv0fy5mwUaAhYQDM46RlJyUCVKy3UslYTwKwh9v2E9sMG/c+53YfLbGB8DuwOCDjPOTwPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"559b9abe9cb51b317691e3b374be2fa3ea6df7f33771fd87b5fcfc6e2a0e5f20","last_reissued_at":"2026-06-30T01:17:47.936662Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:17:47.936662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.28979","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uGoO+VSzYShc81WLQtPGakl1ErDE3cY1mjIyNQ0uzsvPAjmG64Bx55k/WGXxfdDGhM2WECegbVjlFvtls4/sCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:48:34.748800Z"},"content_sha256":"ffb989ae94bcf14c0566d5b5420c06c424eaf3bd76921002b5c02e74aeb1fd18","schema_version":"1.0","event_id":"sha256:ffb989ae94bcf14c0566d5b5420c06c424eaf3bd76921002b5c02e74aeb1fd18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KWNZVPU4WUNTC5UR4OZXJPRPUP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuous modal spectrum in nonreciprocal cavities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"David E. Fernandes, Filipa R. Prud\\^encio, M\\'ario G. Silveirinha","submitted_at":"2026-06-27T15:29:38Z","abstract_excerpt":"Nonreciprocal systems enable asymmetric energy transport and suppress backscattering, giving rise to unconventional wave phenomena. Here, we show that nonreciprocal cavities based on unidirectional waveguides exhibit a continuous modal spectrum, in contrast to conventional cavities with discrete eigenmodes. Using a ferrite-loaded microwave cavity as an example, we demonstrate that enforcing unidirectionality, by tailoring the waveguide geometry, drives a transition from discrete to continuous spectra, accompanied by strong spatial localization of electromagnetic fields. Our results reveal that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28979","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/2606.28979/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T01:17:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8OKkW5aThi6GHuESXykh1vlBo19sR6iO7WQ6sapg8lWyY832U6Y+4WUZwXj0zc7+ZmcsTRJR0Wnavs1ebL14Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:48:34.749664Z"},"content_sha256":"f7e62092957caa5ba04879d254fc5009730dd240bd61a78862278e6f50b6bd5f","schema_version":"1.0","event_id":"sha256:f7e62092957caa5ba04879d254fc5009730dd240bd61a78862278e6f50b6bd5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP/bundle.json","state_url":"https://pith.science/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T18:48:34Z","links":{"resolver":"https://pith.science/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP","bundle":"https://pith.science/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP/bundle.json","state":"https://pith.science/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KWNZVPU4WUNTC5UR4OZXJPRPUP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KWNZVPU4WUNTC5UR4OZXJPRPUP","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":"8f57dafda11813184f672e2f92da0539fa0fa6688aa9be3d3fc08b36d189fd38","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-06-27T15:29:38Z","title_canon_sha256":"5994a5feb04c3af56fbfd2adce8379f9da89fdd12e1906c749646fb44b46e8ee"},"schema_version":"1.0","source":{"id":"2606.28979","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28979","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28979v1","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28979","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"KWNZVPU4WUNT","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"KWNZVPU4WUNTC5UR","created_at":"2026-06-30T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"KWNZVPU4","created_at":"2026-06-30T01:17:47Z"}],"graph_snapshots":[{"event_id":"sha256:f7e62092957caa5ba04879d254fc5009730dd240bd61a78862278e6f50b6bd5f","target":"graph","created_at":"2026-06-30T01:17:47Z","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/2606.28979/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nonreciprocal systems enable asymmetric energy transport and suppress backscattering, giving rise to unconventional wave phenomena. Here, we show that nonreciprocal cavities based on unidirectional waveguides exhibit a continuous modal spectrum, in contrast to conventional cavities with discrete eigenmodes. Using a ferrite-loaded microwave cavity as an example, we demonstrate that enforcing unidirectionality, by tailoring the waveguide geometry, drives a transition from discrete to continuous spectra, accompanied by strong spatial localization of electromagnetic fields. Our results reveal that","authors_text":"David E. Fernandes, Filipa R. Prud\\^encio, M\\'ario G. Silveirinha","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-06-27T15:29:38Z","title":"Continuous modal spectrum in nonreciprocal cavities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28979","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:ffb989ae94bcf14c0566d5b5420c06c424eaf3bd76921002b5c02e74aeb1fd18","target":"record","created_at":"2026-06-30T01:17:47Z","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":"8f57dafda11813184f672e2f92da0539fa0fa6688aa9be3d3fc08b36d189fd38","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-06-27T15:29:38Z","title_canon_sha256":"5994a5feb04c3af56fbfd2adce8379f9da89fdd12e1906c749646fb44b46e8ee"},"schema_version":"1.0","source":{"id":"2606.28979","kind":"arxiv","version":1}},"canonical_sha256":"559b9abe9cb51b317691e3b374be2fa3ea6df7f33771fd87b5fcfc6e2a0e5f20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"559b9abe9cb51b317691e3b374be2fa3ea6df7f33771fd87b5fcfc6e2a0e5f20","first_computed_at":"2026-06-30T01:17:47.936662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:47.936662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lhrYKj72OpKIOQKzv0fy5mwUaAhYQDM46RlJyUCVKy3UslYTwKwh9v2E9sMG/c+53YfLbGB8DuwOCDjPOTwPBQ==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:47.937281Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28979","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffb989ae94bcf14c0566d5b5420c06c424eaf3bd76921002b5c02e74aeb1fd18","sha256:f7e62092957caa5ba04879d254fc5009730dd240bd61a78862278e6f50b6bd5f"],"state_sha256":"61c5317178c5009c33f62462630635f6c7a9fc74f9e4f8fffcad9041c0e9412f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P9V+6GVztUI46OY7t+8SpoTW+jw9x2wQY2rMd35OEm08FDHkMOTpj2kkPvFqMrLW5Pzf1GIxKCU39TMGc/MdDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:48:34.755938Z","bundle_sha256":"3dca9fcef34cf7e1928e4532e68eebc6e53afe6c36d75b26256199c92b18a150"}}