{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:TSOSADGGSDRB5BD5SCKRR7H6SD","short_pith_number":"pith:TSOSADGG","canonical_record":{"source":{"id":"2311.03991","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2023-11-07T13:42:13Z","cross_cats_sorted":["physics.app-ph"],"title_canon_sha256":"7e17e9e3336b8848ddb280b10364efc1f908c442c3368104c376e54961bcc4f4","abstract_canon_sha256":"06cdad6d96fd144f0e6f32d94d32bffdb92f0982611262581efff3d287f0b3d0"},"schema_version":"1.0"},"canonical_sha256":"9c9d200cc690e21e847d909518fcfe90d84a645901039cc255c49a28c0fe0d2a","source":{"kind":"arxiv","id":"2311.03991","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.03991","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"2311.03991v1","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.03991","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"TSOSADGGSDRB","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"pith_short_16","alias_value":"TSOSADGGSDRB5BD5","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"pith_short_8","alias_value":"TSOSADGG","created_at":"2026-07-05T07:10:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:TSOSADGGSDRB5BD5SCKRR7H6SD","target":"record","payload":{"canonical_record":{"source":{"id":"2311.03991","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2023-11-07T13:42:13Z","cross_cats_sorted":["physics.app-ph"],"title_canon_sha256":"7e17e9e3336b8848ddb280b10364efc1f908c442c3368104c376e54961bcc4f4","abstract_canon_sha256":"06cdad6d96fd144f0e6f32d94d32bffdb92f0982611262581efff3d287f0b3d0"},"schema_version":"1.0"},"canonical_sha256":"9c9d200cc690e21e847d909518fcfe90d84a645901039cc255c49a28c0fe0d2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:10:09.228020Z","signature_b64":"xijq3+uPJaFjjNkUK2VGlO1OGJED+ZYf9YUnvGQk9HTsJrwr7eB4TzaOphWf4g7ZfXHA2aSarliVQpPflA7dDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c9d200cc690e21e847d909518fcfe90d84a645901039cc255c49a28c0fe0d2a","last_reissued_at":"2026-07-05T07:10:09.227504Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:10:09.227504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.03991","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":"2026-07-05T07:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n0+EE7GBAfbaOpGN9hkns+i640eQBadXXhaK7D+GpsjXven9AOvamZgIuBzOjOdThu4lAngW4dkVvSeTked6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:25:38.195912Z"},"content_sha256":"9cd72882f5ee18b2ab4f1102f67ba190df636c60e5082a0b8e04c139b1790e0f","schema_version":"1.0","event_id":"sha256:9cd72882f5ee18b2ab4f1102f67ba190df636c60e5082a0b8e04c139b1790e0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:TSOSADGGSDRB5BD5SCKRR7H6SD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Beam Manipulation with Phase Symmetry Operations on Modulated Metasurfaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.app-ph"],"primary_cat":"physics.optics","authors_text":"Gert Fr{\\o}lund Pedersen, Peng Mei, Shuai Zhang, Yang Cai","submitted_at":"2023-11-07T13:42:13Z","abstract_excerpt":"Beam manipulation is of paramount importance in wave engineering, enabling diverse beam shapes like pencil beams, flat-top beams, and isoflux beams to cater to various application missions. Among the beams, shaping flat-top and isoflux beams remains challenging with the traditional synthesis approaches that mainly rely on optimization algorithms. Here, we develop modulated metasurfaces to efficiently generate flat-top and isoflux beams from the first principle of field superposition with negligible optimizations, by performing phase symmetry operations. The theoretical analysis not only facili"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.03991","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/2311.03991/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":"2026-07-05T07:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b2QjJPqFzVrPoBP3l17Ek3BZDSr396XxZ36sjxT75nqEE5aO+YqI0BstaCcfEERcrmKoqsV8K+VQpjeJLD8dAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:25:38.196563Z"},"content_sha256":"d6529215c6679e22c97162a13d6bee6c1dd7df7cf84b3ca597b9af950917a4bb","schema_version":"1.0","event_id":"sha256:d6529215c6679e22c97162a13d6bee6c1dd7df7cf84b3ca597b9af950917a4bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TSOSADGGSDRB5BD5SCKRR7H6SD/bundle.json","state_url":"https://pith.science/pith/TSOSADGGSDRB5BD5SCKRR7H6SD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TSOSADGGSDRB5BD5SCKRR7H6SD/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":"2026-07-05T15:25:38Z","links":{"resolver":"https://pith.science/pith/TSOSADGGSDRB5BD5SCKRR7H6SD","bundle":"https://pith.science/pith/TSOSADGGSDRB5BD5SCKRR7H6SD/bundle.json","state":"https://pith.science/pith/TSOSADGGSDRB5BD5SCKRR7H6SD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TSOSADGGSDRB5BD5SCKRR7H6SD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:TSOSADGGSDRB5BD5SCKRR7H6SD","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":"06cdad6d96fd144f0e6f32d94d32bffdb92f0982611262581efff3d287f0b3d0","cross_cats_sorted":["physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2023-11-07T13:42:13Z","title_canon_sha256":"7e17e9e3336b8848ddb280b10364efc1f908c442c3368104c376e54961bcc4f4"},"schema_version":"1.0","source":{"id":"2311.03991","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.03991","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"2311.03991v1","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.03991","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"TSOSADGGSDRB","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"pith_short_16","alias_value":"TSOSADGGSDRB5BD5","created_at":"2026-07-05T07:10:09Z"},{"alias_kind":"pith_short_8","alias_value":"TSOSADGG","created_at":"2026-07-05T07:10:09Z"}],"graph_snapshots":[{"event_id":"sha256:d6529215c6679e22c97162a13d6bee6c1dd7df7cf84b3ca597b9af950917a4bb","target":"graph","created_at":"2026-07-05T07:10:09Z","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/2311.03991/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Beam manipulation is of paramount importance in wave engineering, enabling diverse beam shapes like pencil beams, flat-top beams, and isoflux beams to cater to various application missions. Among the beams, shaping flat-top and isoflux beams remains challenging with the traditional synthesis approaches that mainly rely on optimization algorithms. Here, we develop modulated metasurfaces to efficiently generate flat-top and isoflux beams from the first principle of field superposition with negligible optimizations, by performing phase symmetry operations. The theoretical analysis not only facili","authors_text":"Gert Fr{\\o}lund Pedersen, Peng Mei, Shuai Zhang, Yang Cai","cross_cats":["physics.app-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2023-11-07T13:42:13Z","title":"Efficient Beam Manipulation with Phase Symmetry Operations on Modulated Metasurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.03991","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":"sha256:9cd72882f5ee18b2ab4f1102f67ba190df636c60e5082a0b8e04c139b1790e0f","target":"record","created_at":"2026-07-05T07:10:09Z","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":"06cdad6d96fd144f0e6f32d94d32bffdb92f0982611262581efff3d287f0b3d0","cross_cats_sorted":["physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2023-11-07T13:42:13Z","title_canon_sha256":"7e17e9e3336b8848ddb280b10364efc1f908c442c3368104c376e54961bcc4f4"},"schema_version":"1.0","source":{"id":"2311.03991","kind":"arxiv","version":1}},"canonical_sha256":"9c9d200cc690e21e847d909518fcfe90d84a645901039cc255c49a28c0fe0d2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c9d200cc690e21e847d909518fcfe90d84a645901039cc255c49a28c0fe0d2a","first_computed_at":"2026-07-05T07:10:09.227504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:10:09.227504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xijq3+uPJaFjjNkUK2VGlO1OGJED+ZYf9YUnvGQk9HTsJrwr7eB4TzaOphWf4g7ZfXHA2aSarliVQpPflA7dDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:10:09.228020Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.03991","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cd72882f5ee18b2ab4f1102f67ba190df636c60e5082a0b8e04c139b1790e0f","sha256:d6529215c6679e22c97162a13d6bee6c1dd7df7cf84b3ca597b9af950917a4bb"],"state_sha256":"07c9dbc2031fc28125803532b894668acf7eda62085ae6403ced918129e0a05b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c1dKJ4qxsFVXpMyUs58XO0LrsqFjMFXnJ9xNNjaHQoa+qS/MFgIce0X5cdnxotpk6XlRxNVNTaz5gvon4e+7BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:25:38.200067Z","bundle_sha256":"505fc3be718b375be93ea218b21d907342bcdc13d2ed17c05e89fd46967370ce"}}