{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BOIQZDLNOKSRP733LOKXJAOHVD","short_pith_number":"pith:BOIQZDLN","canonical_record":{"source":{"id":"1510.07005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-10-23T18:21:09Z","cross_cats_sorted":[],"title_canon_sha256":"ca2971a1eecb6f1d41ed056297604a4fdcafe2c7163d064cd33f4061d792bf56","abstract_canon_sha256":"00cf8f3a82217e97c7c60a63729fabdf396e4b13a53a7c01adf3444d1b5db5cd"},"schema_version":"1.0"},"canonical_sha256":"0b910c8d6d72a517ff7b5b957481c7a8e00ae19ac0b757350c71c32e50d15d50","source":{"kind":"arxiv","id":"1510.07005","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07005","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07005v1","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07005","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"BOIQZDLNOKSR","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BOIQZDLNOKSRP733","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BOIQZDLN","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BOIQZDLNOKSRP733LOKXJAOHVD","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-10-23T18:21:09Z","cross_cats_sorted":[],"title_canon_sha256":"ca2971a1eecb6f1d41ed056297604a4fdcafe2c7163d064cd33f4061d792bf56","abstract_canon_sha256":"00cf8f3a82217e97c7c60a63729fabdf396e4b13a53a7c01adf3444d1b5db5cd"},"schema_version":"1.0"},"canonical_sha256":"0b910c8d6d72a517ff7b5b957481c7a8e00ae19ac0b757350c71c32e50d15d50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:17.485567Z","signature_b64":"M8u1RsjbGI6pJ1b7n3tSljSVkHfTbAcWgWb1qPmcKT9U3eTVfLt/Znk5mdiaDzjGb3LSN86GPnq7RkcsvxDnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b910c8d6d72a517ff7b5b957481c7a8e00ae19ac0b757350c71c32e50d15d50","last_reissued_at":"2026-05-18T01:16:17.484821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:17.484821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07005","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":"2026-05-18T01:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GoqNBOS8escgig6pzZQolEB3o1tyo10ddG+cvRtzxowEsNdUGdMFY9VOdbVrjWvoAm3zqGqub8mt3EB69B1IDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:39:44.638480Z"},"content_sha256":"67c70e432935410dbe7d080f23a1c6035e64db48a2e2c1a71692a6dc018a032f","schema_version":"1.0","event_id":"sha256:67c70e432935410dbe7d080f23a1c6035e64db48a2e2c1a71692a6dc018a032f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BOIQZDLNOKSRP733LOKXJAOHVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry-Invariant Resonant Cavities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ahmed M. Mahmoud, I\\~nigo Liberal, Nader Engheta","submitted_at":"2015-10-23T18:21:09Z","abstract_excerpt":"Resonant cavities are one of the basic building blocks in various disciplines of science and technology, with numerous applications ranging from abstract theoretical modeling to everyday life devices. The eigenfrequencies of conventional cavities are a function of its geometry, and, thus, the size and shape of a resonant cavity is selected in order to operate at a specific frequency. Here, we demonstrate theoretically the existence of geometry-invariant resonant cavities, i.e., resonators whose eigenfrequency is invariant with respect to geometrical deformations. This effect is obtained by exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07005","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dF1fFRB6HEU4r1QLRNakqyWWjkDwjaPXuhpfM5bhthaB6oS9X/0yfHNZQ7YJED0FSiA+kDR836+sG23Nl5KTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:39:44.638823Z"},"content_sha256":"4f5da392d214232bc601d85b8929c5e5e5154e1c0e360855620cbf780a54ebe2","schema_version":"1.0","event_id":"sha256:4f5da392d214232bc601d85b8929c5e5e5154e1c0e360855620cbf780a54ebe2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BOIQZDLNOKSRP733LOKXJAOHVD/bundle.json","state_url":"https://pith.science/pith/BOIQZDLNOKSRP733LOKXJAOHVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BOIQZDLNOKSRP733LOKXJAOHVD/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":"2026-06-23T00:39:44Z","links":{"resolver":"https://pith.science/pith/BOIQZDLNOKSRP733LOKXJAOHVD","bundle":"https://pith.science/pith/BOIQZDLNOKSRP733LOKXJAOHVD/bundle.json","state":"https://pith.science/pith/BOIQZDLNOKSRP733LOKXJAOHVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BOIQZDLNOKSRP733LOKXJAOHVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BOIQZDLNOKSRP733LOKXJAOHVD","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":"00cf8f3a82217e97c7c60a63729fabdf396e4b13a53a7c01adf3444d1b5db5cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-10-23T18:21:09Z","title_canon_sha256":"ca2971a1eecb6f1d41ed056297604a4fdcafe2c7163d064cd33f4061d792bf56"},"schema_version":"1.0","source":{"id":"1510.07005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07005","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07005v1","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07005","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"BOIQZDLNOKSR","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BOIQZDLNOKSRP733","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BOIQZDLN","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:4f5da392d214232bc601d85b8929c5e5e5154e1c0e360855620cbf780a54ebe2","target":"graph","created_at":"2026-05-18T01:16:17Z","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"},"paper":{"abstract_excerpt":"Resonant cavities are one of the basic building blocks in various disciplines of science and technology, with numerous applications ranging from abstract theoretical modeling to everyday life devices. The eigenfrequencies of conventional cavities are a function of its geometry, and, thus, the size and shape of a resonant cavity is selected in order to operate at a specific frequency. Here, we demonstrate theoretically the existence of geometry-invariant resonant cavities, i.e., resonators whose eigenfrequency is invariant with respect to geometrical deformations. This effect is obtained by exp","authors_text":"Ahmed M. Mahmoud, I\\~nigo Liberal, Nader Engheta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-10-23T18:21:09Z","title":"Geometry-Invariant Resonant Cavities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07005","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":"sha256:67c70e432935410dbe7d080f23a1c6035e64db48a2e2c1a71692a6dc018a032f","target":"record","created_at":"2026-05-18T01:16:17Z","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":"00cf8f3a82217e97c7c60a63729fabdf396e4b13a53a7c01adf3444d1b5db5cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-10-23T18:21:09Z","title_canon_sha256":"ca2971a1eecb6f1d41ed056297604a4fdcafe2c7163d064cd33f4061d792bf56"},"schema_version":"1.0","source":{"id":"1510.07005","kind":"arxiv","version":1}},"canonical_sha256":"0b910c8d6d72a517ff7b5b957481c7a8e00ae19ac0b757350c71c32e50d15d50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b910c8d6d72a517ff7b5b957481c7a8e00ae19ac0b757350c71c32e50d15d50","first_computed_at":"2026-05-18T01:16:17.484821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:17.484821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M8u1RsjbGI6pJ1b7n3tSljSVkHfTbAcWgWb1qPmcKT9U3eTVfLt/Znk5mdiaDzjGb3LSN86GPnq7RkcsvxDnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:17.485567Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67c70e432935410dbe7d080f23a1c6035e64db48a2e2c1a71692a6dc018a032f","sha256:4f5da392d214232bc601d85b8929c5e5e5154e1c0e360855620cbf780a54ebe2"],"state_sha256":"a3ce717e7b62420854143a9b784f4999a5f48d0bbc35bbc5b7e6674167888627"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZthQp3ITq1FZg9/ufk4zWpsQ71I5uRAmPdLP4HH9EuDMtnd2M2Huaiqw5vM/EdxyX6aEN/b/c3+Y1PsSYLCaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:39:44.640734Z","bundle_sha256":"20530593655164fbe410ab863d7d61e75d76b69d4808b3f610e23243676bb495"}}