{"as_of":"2026-08-24T03:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d5ceb3f5f4446973dde8d744eca925a57aa2da61d1f59769857163d92c8e06a3","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T18:14:08.723086Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2509.10198/citation-record","integrity":"/paper/2509.10198/integrity","json":"/paper/2509.10198/citation-record.json","paper":"/paper/2509.10198"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:14:05.801386Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:05.801386Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:b49741a9306a22b989d48d5561fdcddc97a10950003070971b090b2b2fcddf9b","observation_id":"e1da4d93-f036-4d87-a73a-025c9691c836","resolution":{"observed_at":"2026-08-04T18:14:05.801386Z","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":"2026-08-04T18:14:05.854804Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:05.854804Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:2715b54d895387ee549d42c13922c8420ed1695f50d54502c015eee5d7e37b35","observation_id":"1321d066-8768-42f9-aa23-cb42fb356bb5","resolution":{"observed_at":"2026-08-04T18:14:05.854804Z","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":"2026-08-04T18:14:05.905435Z","title":"Discoveries and timing of pulsars in NGC 6440,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:05.905435Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:b371aeab9924df78cd446e71908a6f26f1d7ac1e1bee281068851f17c81f90aa","observation_id":"35244556-961b-4063-9f65-e9c062c3dcd1","resolution":{"observed_at":"2026-08-04T18:14:05.905435Z","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":"2026-08-04T18:14:05.977450Z","title":"The second data release from the European Pulsar Timing Array. I. The dataset and timing analysis,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:05.977450Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:993555ff316f16b1429a1ebcbf20be5cd91c62885bd9d3dca2255e519ed92c91","observation_id":"cd189d4c-9cbe-4e79-a014-c1f6c9b97aa0","resolution":{"observed_at":"2026-08-04T18:14:05.977450Z","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":"2026-08-04T18:14:06.032131Z","title":"The NANOGrav 15 yr data set: observations and timing of 68 millisecond pulsars,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.032131Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:48b029f31ef0c7a5451930ecf8c9054974f1fb509d8634c2d91321a1397d75dd","observation_id":"a4b8c32d-1ef6-4855-9cf9-fc6baa4d2d40","resolution":{"observed_at":"2026-08-04T18:14:06.032131Z","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":"2026-08-04T18:14:06.118219Z","title":"Single-pulse studies of three millisecond pulsars,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.118219Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:ae90cfab0decab92daf1b3fdfa261d3c714dc8b5b286e3e454e7e8de8c23b3d7","observation_id":"fb9fbc43-3ef4-4e65-8549-33ce9716e631","resolution":{"observed_at":"2026-08-04T18:14:06.118219Z","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":"2026-08-04T18:14:06.175722Z","title":"Boashash,Time-Frequency Signal Analysis and Processing","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.175722Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:8347ae5fe6e7b6804f1117b29050c3d3638a15ff54b6186ede02f4b78e3c8e63","observation_id":"a59cf06d-8db7-4dbd-9916-759e995f0357","resolution":{"observed_at":"2026-08-04T18:14:06.175722Z","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":"2026-08-04T18:14:06.295626Z","title":"MeerKAT correlator-beamformer: a real-time processing back-end for astronomical observations,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.295626Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:e02fd669ecca0b2797aaa4b1de92125571feb3f74656fe1f64688857db0c96ae","observation_id":"73e530e3-b461-4c04-a187-6b475536a0ee","resolution":{"observed_at":"2026-08-04T18:14:06.295626Z","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":"2026-08-04T18:14:06.376671Z","title":"The LOFAR correlator: implementation and performance analysis,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.376671Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:b8987d4737a9e548b08e6ed5ee41ca035c4bce69a191a6891f21dc6aa1843f3e","observation_id":"e05649d8-4ff8-485d-83d5-887e963d713a","resolution":{"observed_at":"2026-08-04T18:14:06.376671Z","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":"2026-08-04T18:14:06.443428Z","title":"polyphase filter bank generator","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.443428Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:bcde6d2bb5a6bf48e343b48eba7f2ce399d8fb12180d04c6a190e8d3f8d741e0","observation_id":"e90e125b-c6cc-405c-8f5c-3d44fc92dc4c","resolution":{"observed_at":"2026-08-04T18:14:06.443428Z","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":"2026-08-04T18:14:06.505601Z","title":"A time-frequency formulation of optimum detection,","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.505601Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:514b39bfe17624c070dbd910483e5e83666bde39ab58a1dbd0bab2c8539ca3dc","observation_id":"dad2e262-c1c4-498a-a010-ba7c855e7e0d","resolution":{"observed_at":"2026-08-04T18:14:06.505601Z","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":"2026-08-04T18:14:06.573308Z","title":"On the optimality of the Wigner dis- tribution for detection,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.573308Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:eb82e3b92fef2fef7edae9e87b1706a0fdfec77bad75b03586281550ba21624f","observation_id":"070cc38d-cb06-44b0-954f-8d09e5804173","resolution":{"observed_at":"2026-08-04T18:14:06.573308Z","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":"2026-08-04T18:14:06.635910Z","title":"On detection-estimation procedures in the time-frequency plane,","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.635910Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:9acbe2f6e83e6ca5040f3007a05bf5b13317e8a97ed04c886bd4641d7d7ce45e","observation_id":"64e566b9-92d3-4754-9aa8-fabcba7012dd","resolution":{"observed_at":"2026-08-04T18:14:06.635910Z","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":"2026-08-04T18:14:06.696775Z","title":"Time-frequency receivers for locally optimum detection,","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.696775Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:82b073b667ecb0f130f1c9a610395fd2a4cc8d39b7636614804ee9118b38dc10","observation_id":"aafce9a0-62df-4ac7-a136-60b258c6535f","resolution":{"observed_at":"2026-08-04T18:14:06.696775Z","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":"2026-08-04T18:14:06.766257Z","title":"The use of hy- perbolic time-frequency representations for optimum detection and pa- rameter estimation of hyperbolic chirps,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.766257Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:db4dc82b84dc2fe08a4448a1269efbe0e0a887f149efc4f1c6cea02a2b6cfc9c","observation_id":"4c419cf8-dda8-4fc5-8651-89cdf30d7b63","resolution":{"observed_at":"2026-08-04T18:14:06.766257Z","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":"2026-08-04T18:14:06.850248Z","title":"Detection and estimation of generalized chirps using time-frequency representations,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.850248Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:5387d0466396ddea5f80ba134c9a0403d6f149179dc19fffe81f95d654deb152","observation_id":"c3168534-7176-470e-93ac-781fd7b93f9e","resolution":{"observed_at":"2026-08-04T18:14:06.850248Z","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":"2026-08-04T18:14:06.909540Z","title":"Time-frequency distributions—a review,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.909540Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:135eb82c16a2bd844c57599ffa270e9d50b824bf49febbefe16987374d15e488","observation_id":"dfbd276e-89ac-4898-8480-d3ab8394b6f1","resolution":{"observed_at":"2026-08-04T18:14:06.909540Z","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":"2026-08-04T18:14:06.989276Z","title":"A class of affine Wigner functions with extended covariance properties,","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:06.989276Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:c5f562647ed7d6d0ee8f73961e1bdea6f34d8b2a5dcbc95fa7bea75d6428c1bd","observation_id":"2da63d04-71c9-4591-beaf-aaf18663fbd2","resolution":{"observed_at":"2026-08-04T18:14:06.989276Z","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":"2026-08-04T18:14:07.102577Z","title":"On the time–frequency detection of chirps,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.102577Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:1e7dfb835f7f1589dee6ce1a467a7f299cc49285604be4fef5a94a88af3b7b40","observation_id":"0a19b34d-6503-4ef6-a5ce-3baee75627a2","resolution":{"observed_at":"2026-08-04T18:14:07.102577Z","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":"2026-08-04T18:14:07.216739Z","title":"Geometry of affine time-frequency distributions,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.216739Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:711f2506d27ebaecb18bfe3b2afd9a0c35e91e35c37f56b441158d505e77599f","observation_id":"06e8d1c9-dc00-43e8-b1d3-cea75ea31408","resolution":{"observed_at":"2026-08-04T18:14:07.216739Z","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":"2026-08-04T18:14:07.364703Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.364703Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:4e2e1ef92f9e5fc21004cd65da7c1440f29e87ffb1956ebac6c945fb9265b156","observation_id":"c48597af-7823-4691-82fb-ed3d0c692c59","resolution":{"observed_at":"2026-08-04T18:14:07.364703Z","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":"2026-08-04T18:14:07.487143Z","title":"Oppenheim and R","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.487143Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:023b729ff4fd482100b3bd16648ec58e1daac985b63d802e3d07f6e96b397548","observation_id":"681a52db-8279-49c5-9a51-bdb7469b7707","resolution":{"observed_at":"2026-08-04T18:14:07.487143Z","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":"2026-08-04T18:14:07.628827Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.628827Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:fe2d215902165efa3050e920d2d92c90aca9a4a1a3d637cdc4cf2e302ff50b22","observation_id":"569f3769-1015-487e-a9c9-29cfd0623316","resolution":{"observed_at":"2026-08-04T18:14:07.628827Z","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":"2026-08-04T18:14:07.752947Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.752947Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:b6b5318845652ef903dc91ce861155c0655a3eaf498845895a74a6c4ab76e4e6","observation_id":"9aa1f45f-bd63-4b70-b6da-1af067e8a5c6","resolution":{"observed_at":"2026-08-04T18:14:07.752947Z","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":"2026-08-04T18:14:07.907352Z","title":"The multivariate complex normal distribution—a generalization,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:07.907352Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:9278a6b471cc6988b8a624b67227999ff09d6f5404a5f65ede8b656b772c40a5","observation_id":"90d49b37-6503-42fd-bbdc-15177c7bdb76","resolution":{"observed_at":"2026-08-04T18:14:07.907352Z","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":"2026-08-04T18:14:08.027014Z","title":"Discrete time and frequency Wigner- Ville distribution: Moyal’s formula and aliasing,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.027014Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:832caf8f57d46ebd98b4dddd9c3db9b8f78d072213a19c3a32f618fabcdbd993","observation_id":"a7f72d68-745b-4e54-98ff-0e8d64da4cba","resolution":{"observed_at":"2026-08-04T18:14:08.027014Z","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":"2026-08-04T18:14:08.110632Z","title":"Interval Estimation for a Binomial Proportion,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.110632Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:896035ff4d2ae1f7dd5fa440703ccb008ec41f6e925b32a611a14cf3b659e6d1","observation_id":"78d1bf46-2c22-464b-baab-5e13b8fbdedb","resolution":{"observed_at":"2026-08-04T18:14:08.110632Z","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":"2026-08-04T18:14:08.374860Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.374860Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:00770b9005452f33615e6958ea33bf7976e5b58f0670652521bcfd06ddcbb628","observation_id":"0a8dc708-e6e9-4941-a8ea-66a6a0b52c6d","resolution":{"observed_at":"2026-08-04T18:14:08.374860Z","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":"2026-08-04T18:14:08.472955Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.472955Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:cd14c8afe046cb9df371d66e60a1fdbc8098643b1ec7b6b15519c5e1414055f9","observation_id":"97026028-9826-4944-8762-04dae8122fa9","resolution":{"observed_at":"2026-08-04T18:14:08.472955Z","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":"2026-08-04T18:14:08.572028Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.572028Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:ef1952919769670722720adad12664ed2ec527342920f2ec678fd782dda76eef","observation_id":"9cb392bf-caca-4e65-9768-f3dd31362dd5","resolution":{"observed_at":"2026-08-04T18:14:08.572028Z","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":"2026-08-04T18:14:08.649879Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.649879Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:482bf737f70e7e72f5181b6a5301b05d0a1d3422c20aca872a4bc5695265ec7c","observation_id":"fe363496-964d-450c-9771-310c160fdc93","resolution":{"observed_at":"2026-08-04T18:14:08.649879Z","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":"2026-08-04T18:14:08.723086Z","title":"Further decomposition of the Karhunen-Lo `eve series representation of a stationary random process,","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.723086Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:b68f84594c5121395a92d7ec101cba928570ef8d791776c6a722bd2481d317c2","observation_id":"161cbb37-ebad-44df-a8c7-9c289d6273c7","resolution":{"observed_at":"2026-08-04T18:14:08.723086Z","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":"2026-08-04T18:14:08.258587Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector","version":1},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-04T18:14:08.258587Z"},"links":{"citing_paper":"/paper/2509.10198"},"observation_digest":"sha256:425da827e869688cc0cbea47a30170d26fd50d0d827f5f6b77237ef90e7f9a26","observation_id":"61b7e18a-fc0c-4871-a6bc-42fe51c20601","resolution":{"observed_at":"2026-08-04T18:14:08.258587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.10198","last_updated":"2025-09-12T12:43:30Z","latest_version":1,"primary_category":"physics.data-an","snapshot_observed_at":"2026-08-16T16:10:28.098351Z","submitted_at":"2025-09-12T12:43:30Z","title":"Bertrand's Representation of the Optimal Detector"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":33},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 24 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2509.10198."}