{"as_of":"2026-08-12T22:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0bbcfd4febb9d277d9f3b1652c6bc49a9e52e494c55cc804ec08e4f4a1093a07","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T05:43:48.345309Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.29505/citation-record","integrity":"/paper/2607.29505/integrity","json":"/paper/2607.29505/citation-record.json","paper":"/paper/2607.29505"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.063533Z","title":"An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.063533Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:5dfe0883d32937552e177d5061c1791566e996910e57fedca4d8c0a497bbda48","observation_id":"26f621e7-f42b-4ef8-a46d-520fafe08dec","resolution":{"observed_at":"2026-08-03T05:43:43.063533Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.149655Z","title":"Logical quantum processor based on reconfigurable atom arrays,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.149655Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:a883d4d7edf9b2582c05c46064f81eb7cfaf671faf1389fad3b875703d941e5f","observation_id":"2ac34267-f41d-4191-a489-a0427db81da2","resolution":{"observed_at":"2026-08-03T05:43:43.149655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.369644Z","title":"Parallel assembly of neutral atom arrays with an SLM using linear phase interpolation,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.369644Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:024638b148010c6ab6d2174d2fac527241331c7fab34454abff0eea93bcdb0c4","observation_id":"97eefd5d-7258-4781-8db9-8c5277862d4a","resolution":{"observed_at":"2026-08-03T05:43:43.369644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.512157Z","title":"Holographic photolysis of caged neurotransmitters,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.512157Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:0d526dff4d9726d1d17825967833d07a2680641dc0f3ed662de5eb1858a0438d","observation_id":"cc389b3a-25f1-421b-a3df-c6af32a11e20","resolution":{"observed_at":"2026-08-03T05:43:43.512157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.667460Z","title":"Wave front engineering for microscopy of living cells,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.667460Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:a7074559952a8ed0e43bf728fba05fe939ea433f019f30534a7c5d16a530180e","observation_id":"de41428a-7352-4a3e-9053-5639a2451d52","resolution":{"observed_at":"2026-08-03T05:43:43.667460Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.783790Z","title":"Full phase and amplitude control of holographic optical tweezers with high efficiency,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.783790Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:1b924f5c9689dd31a02f15250156b00b9a5d68729cc4fa6927f296b2328d6665","observation_id":"dd153989-ca5c-48f1-94ef-2c32ba0f722f","resolution":{"observed_at":"2026-08-03T05:43:43.783790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:43.926577Z","title":"Phase retrieval with application to optical imaging: a contemporary overview,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:43.926577Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:54e4cc9c42719031350a369748b6b0c493c857b57f2327428118d2e5afc6fcec","observation_id":"e269a237-87a2-448c-81f6-e7e5eeaccb51","resolution":{"observed_at":"2026-08-03T05:43:43.926577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.116250Z","title":"A practical algorithm for the determination of phase from image and diffraction plane pictures,","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.116250Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:d05e06d78b9e6cb27f68ddd4243f858b88127ec28af162104340c18057f60ce5","observation_id":"c24d22b2-f234-445a-8a80-69bffaa5d526","resolution":{"observed_at":"2026-08-03T05:43:44.116250Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.238903Z","title":"Holographic phase retrieval via Wirtinger flow: Cartesian form with auxiliary amplitude,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.238903Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:3937038945ea503cc51f63ddf97cfdde352cc9d9e403f9e2f6c4a44fe9be8e82","observation_id":"74ba705e-1d88-488e-a726-92496146e57a","resolution":{"observed_at":"2026-08-03T05:43:44.238903Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.376497Z","title":"Phase retrieval via Wirtinger flow: Theory and algorithms,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.376497Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:2186d1d2a7e412a0a2991ad2fdd64d489a2399507b73141154c60ad9d229c3e6","observation_id":"0998a3b2-ac0d-4d29-850b-f54d26a5bf69","resolution":{"observed_at":"2026-08-03T05:43:44.376497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.503679Z","title":"Optimization of phase-only computer-generated holograms based on the gradient descent method,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.503679Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:ad2f7d9da68ab72475397721bd63ec60bcfbaba9a736883f0aafc909e3886e63","observation_id":"8274094b-6eaf-4569-8cc3-ded673ae5517","resolution":{"observed_at":"2026-08-03T05:43:44.503679Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.714046Z","title":"Vectorial beam shaping,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.714046Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:61f0c5eb0053751c74d0732acb804926eda36d494dcf596e436b41d682924766","observation_id":"fd481f3f-a034-47fd-8b48-b44ec1d502c5","resolution":{"observed_at":"2026-08-03T05:43:44.714046Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.820243Z","title":"Intensitycontrolofthefocalspotbyvectorialbeamshaping,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.820243Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:c54f3cfd969e6591759d7580b227cacc71161ab056e6f6149ae65ddf7850948a","observation_id":"aa02e4b3-9d42-41b0-ab33-2093697cf527","resolution":{"observed_at":"2026-08-03T05:43:44.820243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:44.963316Z","title":"Differentiable optimization of the Debye-Wolf integral for light shaping and adaptive optics in two-photon microscopy,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:44.963316Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:6f24994ef23cbd9d82fd5b886c2436fb81365f01ec2e2a8d0548a18d39ce668d","observation_id":"5961fbf1-f90e-4a2a-9030-b22e3d95595c","resolution":{"observed_at":"2026-08-03T05:43:44.963316Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:45.119508Z","title":"Dynamical polarizability of atoms in arbitrary light fields: general theory and application to cesium,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:45.119508Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:e79960b2c051b1a9a6a59ba49ad953e88d409d7b489250460347e0978a76e311","observation_id":"6d553d5f-b2d5-4acd-8868-55227302191f","resolution":{"observed_at":"2026-08-03T05:43:45.119508Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:45.320321Z","title":"Atom camera: super-resolution scanning microscope of a light pattern with a single ultracold atom,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:45.320321Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:536f42cf7bca46d0d57259edfa9081f0f8fe64897ffe66ff6a437ea271ca0f0c","observation_id":"135efbcd-43b6-4eb6-87bf-5859e0a9d099","resolution":{"observed_at":"2026-08-03T05:43:45.320321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:45.479762Z","title":"Electromagnetic diffraction in optical systems, II. structure of the image field in an aplanatic system,","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:45.479762Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:24a4bd36696e338b305bf4737c41ff8caf97a8a5825573d10aa8af8d74758ee0","observation_id":"c666b85b-c306-4abc-a11f-e7bece342b2d","resolution":{"observed_at":"2026-08-03T05:43:45.479762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:45.633602Z","title":"Fast focus field calculations,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:45.633602Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:055f5a3df5458e9fed9f9c7a8509bd892d9ca477f88c8b39a1b4ecdbe0c9882a","observation_id":"fac985a7-40f8-4367-ade1-c9a643a8e2ad","resolution":{"observed_at":"2026-08-03T05:43:45.633602Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:45.755844Z","title":"Gu,Advanced Optical Imaging Theory(Springer Berlin Heidelberg, 2000)","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:45.755844Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:9b058b736ff43c6f07ae7dcec824ce4221ba5b6e4c1a6c9981854b2a0c5aeae9","observation_id":"fe003893-437e-4354-8c4b-465c94abaf05","resolution":{"observed_at":"2026-08-03T05:43:45.755844Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:45.909839Z","title":"Inversion of the Debye-Wolf diffraction integral using an eigenfunction representation of the electric fields in the focal region,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:45.909839Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:10e80fa72da6919f713b42bba25dc9b0a0604fb95425628206b21a922cb1c47e","observation_id":"26b2fd7f-0ca4-4e7d-a1e5-d7cb56b49022","resolution":{"observed_at":"2026-08-03T05:43:45.909839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.047357Z","title":"JAX: composable transformations of Python+NumPy programs,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.047357Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:77464c9c50e341cac4ed3db2c3b3a53ee38e2a8162f7b906dffa6fd776d9e526","observation_id":"07c64af4-ef16-4359-802b-90035067a6d7","resolution":{"observed_at":"2026-08-03T05:43:46.047357Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.239639Z","title":"On the limited memory BFGS method for large scale optimization,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.239639Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:3409e98046f9b91674208fe14ee567207cfb2bac3ceaa5a3944745a2044690b7","observation_id":"d2492683-c71d-435a-a56d-a3c06f27e999","resolution":{"observed_at":"2026-08-03T05:43:46.239639Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.373729Z","title":"Spatial shaping for generating arbitrary optical dipole traps for ultracold degenerate gases,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.373729Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:ff8aba4eeb4c06315e64e52a4d6843db6579773b0b7654890dfc7e32063ad4a9","observation_id":"915c0831-cb62-48dc-82f7-26945d6a1cf5","resolution":{"observed_at":"2026-08-03T05:43:46.373729Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.513872Z","title":"Flattening a trapped atomic gas using a programmable optical potential in a feedback loop,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.513872Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:cc1b1c1718ae94c4cc4e78083fc5535486b90a46f53adfaa78867d09db4f9ec0","observation_id":"cad4c032-89c6-4796-9c3a-54db7b825767","resolution":{"observed_at":"2026-08-03T05:43:46.513872Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.682246Z","title":"Atom-by-atom assembly of defect-free one-dimensional cold atom arrays,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.682246Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:6b5c63b32ede47d016eecdda9677794138ccda97a2022b25cec870de257f03f4","observation_id":"2ff41a4c-8b38-4d8f-bb11-589f0d0b1624","resolution":{"observed_at":"2026-08-03T05:43:46.682246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.820940Z","title":"The focus of light–linear polarization breaks the rotational symmetry of the focal spot,","venue":null,"work_id":null,"year":1917},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.820940Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:6dc9e11d13ac1a302df2b1d35c2bf9d9ee01cb82855719bec7ec242d11fc137a","observation_id":"8c95b1c8-a6d0-40ce-99ce-a7d88a30f26a","resolution":{"observed_at":"2026-08-03T05:43:46.820940Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:46.980966Z","title":"AnisotropicpolarizabilityofDyat532nmontheintercombinationtransition,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:46.980966Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:c296b8a9d5ccc3f938eae3cc5b9fac7f9de395d2f1dc3a3026269aae56fd6883","observation_id":"8e1dc313-4185-420c-89d8-29c9df18e501","resolution":{"observed_at":"2026-08-03T05:43:46.980966Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:47.153775Z","title":"Coherent control of the fine-structure qubit in a single alkaline-earth atom,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:47.153775Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:58860d0afb933e5039002509bf2818c48e32f2aaadfb4216c53ad06ba9996f03","observation_id":"a6b37b08-b3ec-4020-9554-767f57c73103","resolution":{"observed_at":"2026-08-03T05:43:47.153775Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:47.299225Z","title":"Adam: A method for stochastic optimization,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:47.299225Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:558a5b15b2e4dd6461ed51b37e02b813a6530a39b901bffdb0b45584f0d2f505","observation_id":"a9302d70-629a-4501-9557-57dd691ad19f","resolution":{"observed_at":"2026-08-03T05:43:47.299225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:47.467432Z","title":"Conjugate gradient minimisation approach to generating holographic traps for ultracold atoms,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:47.467432Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:92f431f47c2741637852499d75d2c93853cb993c607d6bee91ceb8837a6cdcb4","observation_id":"b830872a-ba9c-41e6-8604-524f87175896","resolution":{"observed_at":"2026-08-03T05:43:47.467432Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:47.636280Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:47.636280Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:0df767a76234271aa5076c04e1b94bb95a24af13d265b38e3fc80edc33463ad3","observation_id":"4635029e-e40a-4aaa-992f-88ceb05344ca","resolution":{"observed_at":"2026-08-03T05:43:47.636280Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:47.784492Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:47.784492Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:93f4c8eea4e60a9a717f196e3bcfa77f47b44e610922b029883fbd2977236ca6","observation_id":"17cf2220-acd3-4797-8b07-6196602d5fe5","resolution":{"observed_at":"2026-08-03T05:43:47.784492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:47.914482Z","title":"Here we give the corresponding short derivation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:47.914482Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:ab991d92375ab3f200abc1574cd12f0b3ff9fd23be443dcb4b8719cc5ea4f943","observation_id":"2c1b614e-7749-478a-b820-36acc3a3eabc","resolution":{"observed_at":"2026-08-03T05:43:47.914482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:48.070128Z","title":"Propagation, loss, and loss-plus-gradient timings are measured after just-in-time (JIT) compilation and explicit device synchronization","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:48.070128Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:312640230de0713f057f9e0580a54b317d05f977e7a5fa5252ab31d205a6b98e","observation_id":"9f31ee88-85f1-4930-b804-37828b8fc16c","resolution":{"observed_at":"2026-08-03T05:43:48.070128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:48.216514Z","title":null,"venue":null,"work_id":null,"year":2048},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:48.216514Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:fb9176af4067ca37dd6721dd9f5140c66f4ef63bbbd2ef2a71290b08f149aa1f","observation_id":"b2a49115-1af1-4913-b44c-da9e4fc2bc46","resolution":{"observed_at":"2026-08-03T05:43:48.216514Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T05:43:48.345309Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T05:43:48.345309Z"},"links":{"citing_paper":"/paper/2607.29505"},"observation_digest":"sha256:a60bd7d88c99f793f3f1fd9f668ab2d8ad2ccd8ce40a4766bbc0b442df56c027","observation_id":"00453e82-4e08-4908-8944-145b92923160","resolution":{"observed_at":"2026-08-03T05:43:48.345309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.29505","last_updated":"2026-07-31T15:09:26Z","latest_version":1,"primary_category":"physics.optics","snapshot_observed_at":"2026-08-05T23:15:47.964919Z","submitted_at":"2026-07-31T15:09:26Z","title":"High-NA vectorial hologram optimization"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":36,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":36},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.29505."}