{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:H3EV2GIANC73OIFFG6QBFL4EDC","short_pith_number":"pith:H3EV2GIA","schema_version":"1.0","canonical_sha256":"3ec95d190068bfb720a537a012af8418b8e565050d4dff8babdac18fb4865996","source":{"kind":"arxiv","id":"1503.04605","version":1},"attestation_state":"computed","paper":{"title":"Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Nikolaos K. Efremidis, Raluca-Sorina Penciu, Vassilis Paltoglou","submitted_at":"2015-03-16T11:10:41Z","abstract_excerpt":"In this letter, we propose a general real-space method for the generation of nonparaxial accelerating beams with arbitrary predefined convex trajectories. Our results lead to closed-form expressions for the required phase at the input plane. We present such closed-form results for a variety of caustic curves: besides circular, elliptic, and parabolic, we find for the first time general power-law and exponential trajectories. Furthermore, by changing the initial amplitude we can design different intensity profiles along the caustic."},"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":"1503.04605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-03-16T11:10:41Z","cross_cats_sorted":[],"title_canon_sha256":"45592d38bfb0d3620d6c9545d48219dee990a191a1dd136dd9c9ee419058f112","abstract_canon_sha256":"bd4ec95086b8b5f00c3556c6bb07ea4f94ec0360b59001fdf87f69281649b91c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:50.598021Z","signature_b64":"gJi59QBNt0NBvQiqYU+FRJOiXv/1TGOESREEYkptR2BEDPtGWfvW/lcrl8/VEmCF5+4zJElo+Co5EyfHDRSbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ec95d190068bfb720a537a012af8418b8e565050d4dff8babdac18fb4865996","last_reissued_at":"2026-05-18T01:40:50.597357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:50.597357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Closed-form expressions for nonparaxial accelerating beams with pre-engineered trajectories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Nikolaos K. Efremidis, Raluca-Sorina Penciu, Vassilis Paltoglou","submitted_at":"2015-03-16T11:10:41Z","abstract_excerpt":"In this letter, we propose a general real-space method for the generation of nonparaxial accelerating beams with arbitrary predefined convex trajectories. Our results lead to closed-form expressions for the required phase at the input plane. We present such closed-form results for a variety of caustic curves: besides circular, elliptic, and parabolic, we find for the first time general power-law and exponential trajectories. Furthermore, by changing the initial amplitude we can design different intensity profiles along the caustic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04605","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":"1503.04605","created_at":"2026-05-18T01:40:50.597453+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.04605v1","created_at":"2026-05-18T01:40:50.597453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04605","created_at":"2026-05-18T01:40:50.597453+00:00"},{"alias_kind":"pith_short_12","alias_value":"H3EV2GIANC73","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"H3EV2GIANC73OIFF","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"H3EV2GIA","created_at":"2026-05-18T12:29:22.688609+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/H3EV2GIANC73OIFFG6QBFL4EDC","json":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC.json","graph_json":"https://pith.science/api/pith-number/H3EV2GIANC73OIFFG6QBFL4EDC/graph.json","events_json":"https://pith.science/api/pith-number/H3EV2GIANC73OIFFG6QBFL4EDC/events.json","paper":"https://pith.science/paper/H3EV2GIA"},"agent_actions":{"view_html":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC","download_json":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC.json","view_paper":"https://pith.science/paper/H3EV2GIA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.04605&json=true","fetch_graph":"https://pith.science/api/pith-number/H3EV2GIANC73OIFFG6QBFL4EDC/graph.json","fetch_events":"https://pith.science/api/pith-number/H3EV2GIANC73OIFFG6QBFL4EDC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC/action/storage_attestation","attest_author":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC/action/author_attestation","sign_citation":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC/action/citation_signature","submit_replication":"https://pith.science/pith/H3EV2GIANC73OIFFG6QBFL4EDC/action/replication_record"}},"created_at":"2026-05-18T01:40:50.597453+00:00","updated_at":"2026-05-18T01:40:50.597453+00:00"}