{"as_of":"2026-08-14T07:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b137948edcbf95f0c89781a575dbfe3ad3cd60b2cdf5c0179a35abb942281705","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T05:45:41.050696Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2607.13287/citation-record","integrity":"/paper/2607.13287/integrity","json":"/paper/2607.13287/citation-record.json","paper":"/paper/2607.13287"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T05:45:38.875557Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:38.875557Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:482cf8394ca1bd240eb9ca53a5f910bf30a1ff28eeac010bfa8cbd5eace3cd1e","observation_id":"5017b572-ffe7-478c-9209-8f096eab60e8","resolution":{"observed_at":"2026-08-02T05:45:38.875557Z","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":"2026-08-02T05:45:38.914794Z","title":"Born and E","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:38.914794Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:4a8c38832d12d3c3ec94ad01410065572472c64c7e4fa6a129acbf1b44727443","observation_id":"2d56ebe9-5914-4ff9-a20a-7b106662bcf6","resolution":{"observed_at":"2026-08-02T05:45:38.914794Z","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":"2026-08-02T05:45:38.988273Z","title":"Loran and A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:38.988273Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:8f883dcbfaf3ed6e906e4101a9359a1929224f40fd8116f6391a7c1e09d823ce","observation_id":"0cdb4328-8ecd-4887-8284-95005ca12730","resolution":{"observed_at":"2026-08-02T05:45:38.988273Z","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":"2026-08-02T05:45:39.055798Z","title":null,"venue":null,"work_id":null,"year":1936},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.055798Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:2c7a5fcf6e73e411a4e4702b7bccb28595261ffadbf9ec4802dba5d6810a7a10","observation_id":"9ef94269-6704-47af-9124-637835933f1a","resolution":{"observed_at":"2026-08-02T05:45:39.055798Z","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":"2026-08-02T05:45:39.155226Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.155226Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:77e3a7c0d35285c7a066ab72af48d40b29701612ecfae51187a883c04ee07f0e","observation_id":"07a1258a-972b-402a-8ee0-ed7cd2ef6cb2","resolution":{"observed_at":"2026-08-02T05:45:39.155226Z","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":"2026-08-02T05:45:39.233113Z","title":"Mostafazadeh, A dynamical formulation of one-dimensional s cattering theory and its ap- plications in optics, Ann","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.233113Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:443b6312b699a532b1a80f8c27484eab85cb358edaa9c1f5a2c61d28ac270ff2","observation_id":"5987a2f2-2cc5-4cc1-a4bb-e3f67c552ca1","resolution":{"observed_at":"2026-08-02T05:45:39.233113Z","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":"2026-08-02T05:45:39.290870Z","title":"Loran and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.290870Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:5a5287ae710f747267ad8818dfc9cb466f9c66e98265a691ed70f9e5bea7af9c","observation_id":"f27781b6-6f02-4940-a6e6-ad7681b0ec70","resolution":{"observed_at":"2026-08-02T05:45:39.290870Z","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":"2026-08-02T05:45:39.391644Z","title":"Loran and A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.391644Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:a57c0d1eee2f5ed34875dd1c4a98be0a962ba606ede72fb1e15994e9ce3531ef","observation_id":"cad1d184-5046-407c-92e2-3a3f5d832b62","resolution":{"observed_at":"2026-08-02T05:45:39.391644Z","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":"2026-08-02T05:45:39.446971Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.446971Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:2ae6694c832d1eeaf72ff5854a6488977108fe606af0ce7db9c345c1717c1ae7","observation_id":"eb11ce0d-5ce0-4c39-ba92-0412c45dfce9","resolution":{"observed_at":"2026-08-02T05:45:39.446971Z","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":"2026-08-02T05:45:39.527289Z","title":"Moharam and L","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.527289Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:6813b44e4d4f25b944b5b4647495466b623c0099cf839fcc0e480924939ec408","observation_id":"3a8707c4-a1f9-4e09-8aab-df8e0826636f","resolution":{"observed_at":"2026-08-02T05:45:39.527289Z","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":"2026-08-02T05:45:39.612906Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.612906Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:ad9e12286a3e3ce4079771ecd012a2ce3526982568e496892aaa30e990018035","observation_id":"0b3a65c2-479d-496f-a40e-f80fcdcb0ab4","resolution":{"observed_at":"2026-08-02T05:45:39.612906Z","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":"2026-08-02T05:45:39.688191Z","title":null,"venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.688191Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:c05af84a9b51709884bb634e943939294a2d178b47fa0064eda5d91fef55be82","observation_id":"07a34dde-d6b1-463f-adaf-e000caf742cd","resolution":{"observed_at":"2026-08-02T05:45:39.688191Z","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":"2026-08-02T05:45:39.729367Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.729367Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:3c78bbd95c7b8d5482ad181050857c041e1f5ed191870c9893ea7e82a6c4f2fe","observation_id":"afd18e5a-aa66-4371-ae4c-9f513a418780","resolution":{"observed_at":"2026-08-02T05:45:39.729367Z","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":"2026-08-02T05:45:39.804735Z","title":"Loran and A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.804735Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:dddfeb529d45a18a03f29b213d3701f327b696f4495f346ecd0aa8c8915c115d","observation_id":"82a4c937-9b6a-4f17-897e-554e9b895bec","resolution":{"observed_at":"2026-08-02T05:45:39.804735Z","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":"2026-08-02T05:45:39.888880Z","title":"Loran, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.888880Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:42d1bf7d4ba6b1f1a79de8fc34beb9fef638b6c2447ff861f1e5776a10237085","observation_id":"26164bb4-9613-4cd3-a398-85465e14af6a","resolution":{"observed_at":"2026-08-02T05:45:39.888880Z","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":"2026-08-02T05:45:39.971055Z","title":"Loran and A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:39.971055Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:3fb791990fc8eed19a0beabda5fafb7ad71145ba12fc8c066a93b6753ea6b8a9","observation_id":"19a97c92-125c-418a-b5b7-e2ace16d4b6c","resolution":{"observed_at":"2026-08-02T05:45:39.971055Z","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":"2026-08-02T05:45:40.045974Z","title":"Taflove, Computational Electrodynamics: The Finite-Difference Tim e-Domain Method (Artech House, Boston, 1995)","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.045974Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:09da5b7acd7fceea5528550bb6806485fb7281e29abec5afac2d582f5f97c619","observation_id":"335ad968-f7bf-4242-9773-a7203c092bf4","resolution":{"observed_at":"2026-08-02T05:45:40.045974Z","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":"2026-08-02T05:45:40.122665Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.122665Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:78aa5341d7829660dbaa1be008d6231683a29e5e270f2fe75b48fb8f6f222989","observation_id":"b2527656-d837-4c1b-a5d8-d9bca599657c","resolution":{"observed_at":"2026-08-02T05:45:40.122665Z","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":"2026-08-02T05:45:40.180316Z","title":"Loran and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.180316Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:9f113fda6599647bad12e9c8f834bb26f77f4dc2efe6a64c280cc4b8cc11dab0","observation_id":"57ea7db6-9ef5-4879-804f-b93c4130030a","resolution":{"observed_at":"2026-08-02T05:45:40.180316Z","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":"2026-08-02T05:45:40.257896Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.257896Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:c0a5235f91756a391970b756ee1c8a198095c70f4118471fe5c62c4a0f727fe5","observation_id":"813e1319-dcba-4da5-afaa-e7cdf02e39c8","resolution":{"observed_at":"2026-08-02T05:45:40.257896Z","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":"2026-08-02T05:45:40.340538Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.340538Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:9f347b65e7dc15d39ead23e8a03d4e401665600cd70c5e23975c1360e8e0a53d","observation_id":"664c0971-2f1b-467c-938d-f94e8c513174","resolution":{"observed_at":"2026-08-02T05:45:40.340538Z","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":"2026-08-02T05:45:40.445797Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.445797Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:7634f1226c56d640ceeebbb1723cf862143dd32dc9b525f299f0da2698e07597","observation_id":"cb8df8f3-6e77-45ed-8fc0-66de711e5204","resolution":{"observed_at":"2026-08-02T05:45:40.445797Z","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":"2026-08-02T05:45:40.527027Z","title":"Mostafazadeh, Point interactions, metamaterials, and PT- symmetry, Ann","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.527027Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:9df52cc15fd3f4c1e15422fcd6ef8b912554470417dd43b144f5d2762e6d78de","observation_id":"74cba000-cc0c-482c-890a-3ed1c4303035","resolution":{"observed_at":"2026-08-02T05:45:40.527027Z","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":"2026-08-02T05:45:40.588740Z","title":"Mostafazadeh, Spectral singularities of complex scatterin g potentials and infinite reflection and transmission coefficients at real energies, Phys","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.588740Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:303b810bdd8f2a5f4474803e2a0b7af91ccc97c8e76886bcafc608597ff0f435","observation_id":"6e7cc2a4-92ed-4c92-acfb-e3d2503b0d0c","resolution":{"observed_at":"2026-08-02T05:45:40.588740Z","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":"2026-08-02T05:45:40.635746Z","title":"Ghaemi-Dizicheh, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.635746Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:5c5d72ac9315a9aad73e4d341c9f94168e041933067f4f77cc5bc38ce97692ea","observation_id":"9808ed45-0f6f-47ac-9d0f-5d7829fb5774","resolution":{"observed_at":"2026-08-02T05:45:40.635746Z","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":"2026-08-02T05:45:40.687548Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.687548Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:f20c6c045c625695dedf787a18da624185c38b7705f622b3b53712a0625a6e95","observation_id":"d826a9fa-03e5-4e49-8ef8-31b44b851854","resolution":{"observed_at":"2026-08-02T05:45:40.687548Z","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":"2026-08-02T05:45:40.766694Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.766694Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:bd1b0ee4a8f4fc1be0cf5ae475925679e15f07c818cd2b36fd46961baf09a179","observation_id":"0c744821-f09c-4294-94c9-bf0a44b8dfd8","resolution":{"observed_at":"2026-08-02T05:45:40.766694Z","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":"2026-08-02T05:45:40.828960Z","title":"De´ ak and T","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.828960Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:b2be89de03aab5a0104e03d94ae8db767e2997a205f03dfcdd6568ae961e4a8e","observation_id":"66b8137f-98dd-44b5-972f-9e0663090974","resolution":{"observed_at":"2026-08-02T05:45:40.828960Z","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":"2026-08-02T05:45:40.917061Z","title":"Sigwarth and C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.917061Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:e51b13550dca96e3e42ed57c9d34aba7b6383646277543ca52b62c53064ede02","observation_id":"8f9b9b3e-25a6-4563-babe-1ccc04f3b486","resolution":{"observed_at":"2026-08-02T05:45:40.917061Z","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":"2026-08-02T05:45:40.975220Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:40.975220Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:10d13685801570b0d7c58368525b3296fdd9a717437f133c1b81227ecad8c71c","observation_id":"1e3e8e54-b993-4048-a34f-72b9f2031f76","resolution":{"observed_at":"2026-08-02T05:45:40.975220Z","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":"2026-08-02T05:45:41.050696Z","title":"Loran and A","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T05:45:41.050696Z"},"links":{"citing_paper":"/paper/2607.13287"},"observation_digest":"sha256:b2d1461a6ef613a318517cd7dcc508b3f2e1e35bb3b927b92d04f69f495b2043","observation_id":"3f051fb3-6739-4b3e-b630-e9603111b8b9","resolution":{"observed_at":"2026-08-02T05:45:41.050696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.13287","last_updated":"2026-07-20T14:55:40Z","latest_version":2,"primary_category":"physics.optics","snapshot_observed_at":"2026-08-10T20:21:45.185912Z","submitted_at":"2026-07-14T21:49:56Z","title":"Exactly Solvable Diffraction-Grating Scattering Problems for TE and TM waves"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":31},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.13287."}