{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:G3QZJNAMBOTDLQFFKZLCVGEI7X","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":"c90d107760363d657038688a0a8c8239a93020872cf234ff5f1895ea3a410de0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-06-15T09:16:25Z","title_canon_sha256":"d7a5778fad6bb8237a8c887c4887e7a7a455839fc671070ac202c0b9ea7ef72d"},"schema_version":"1.0","source":{"id":"1006.2932","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2932","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2932v6","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2932","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"G3QZJNAMBOTD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"G3QZJNAMBOTDLQFF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"G3QZJNAM","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:097466b7d28e870a34f9a2805c3a192552b752376d6ebc333cc8f53425404f4f","target":"graph","created_at":"2026-05-18T03:51:47Z","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"},"paper":{"abstract_excerpt":"We propose a scheme to controllably convert the wavefront of an arbitrary incident beam into a helical one by compact transformation slabs, thus enabling the output beam to carry desirable orbital angular momentum (OAM). First, based on transformation optics, a three-dimensional (3D) phase transformation between any two wavefronts by {\\deg}at transformation media is established and then used to mold a wavefront of Gaussian beam into a helical one. Second, 3D FDTD simulations are performed to confirm the spiraling evolutions of the resultant field and phase, clearly demonstrating OAM generated.","authors_text":"Dianyuan Fan, Dongmo Song, Hailu Luo, Shuangchun Wen, Weixing Shu, Xiaofang L\\\"u, Yougang Ke, Zhixiang Tang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-06-15T09:16:25Z","title":"Generation of optical beams with desirable orbital angular momenta by transformation media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2932","kind":"arxiv","version":6},"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":"sha256:14b831ea31b36dfc30e798298c1dd21553617541b989ec86e5321a284e40a01f","target":"record","created_at":"2026-05-18T03:51:47Z","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":"c90d107760363d657038688a0a8c8239a93020872cf234ff5f1895ea3a410de0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-06-15T09:16:25Z","title_canon_sha256":"d7a5778fad6bb8237a8c887c4887e7a7a455839fc671070ac202c0b9ea7ef72d"},"schema_version":"1.0","source":{"id":"1006.2932","kind":"arxiv","version":6}},"canonical_sha256":"36e194b40c0ba635c0a556562a9888fddca6fd4dc6499afdf58897c6e642dd5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36e194b40c0ba635c0a556562a9888fddca6fd4dc6499afdf58897c6e642dd5c","first_computed_at":"2026-05-18T03:51:47.445351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:47.445351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ycA7+ri3gSafIwrgRlgwpLy8lCI4gSKeirYYJgkgrnu/gJPEdg8yO4hHadm52NmRqDnmz5S0lOFRBypGW79AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:47.445809Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.2932","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14b831ea31b36dfc30e798298c1dd21553617541b989ec86e5321a284e40a01f","sha256:097466b7d28e870a34f9a2805c3a192552b752376d6ebc333cc8f53425404f4f"],"state_sha256":"556a9fe3dc0e531329d4867bfcefa800396187012e4f756ba8cfb20d9164f2ef"}