{"as_of":"2026-08-23T00:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6c424ab92090aa9c9a9ff94031e5dc85b1a0bbff3e043696ac23e6d8cb3c0006","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:04:08.772886Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T09:31:43.237221Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-29T09:33:17.301402Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"cited_work":{"arxiv_id":"2505.03218","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.03218","snapshot_observed_at":"2026-06-29T09:33:17.301402Z","title":"A Characterization of Metaplectic Time-Frequency Representations","venue":null,"work_id":"d50c5d48-6544-47aa-94ce-649674786161","year":2025},"citing_paper":{"arxiv_id":"2605.28786","last_updated":"2026-05-28T17:46:26Z","snapshot_observed_at":"2026-07-06T23:38:19.096349Z","submitted_at":"2026-05-27T17:46:28Z","title":"A quantum harmonic analysis approach to nonlinear time-frequency concentration","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T09:31:43.237221Z"},"links":{"cited_paper":"/paper/2505.03218","citing_paper":"/paper/2605.28786"},"observation_digest":"sha256:4c7241c794ab9377d6eccb06c74e1f3843e47792b5d341f894d5e7e1496e603c","observation_id":"eb58031c-4a2f-42e9-8aa7-ace0c846f2dc","resolution":{"observed_at":"2026-06-29T09:33:17.302786Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.03218/citation-record","integrity":"/paper/2505.03218/integrity","json":"/paper/2505.03218/citation-record.json","paper":"/paper/2505.03218"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:09.053715Z","title":"Bilinear Time-Frequency Distributions and Pseudodifferential Operators","venue":null,"work_id":"77ab3142-91f0-4900-a714-2e472cf94603","year":2010},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.691477Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:233730e0775ea3e2deb848c4e36e7ff5c01ea9b2c1b427171a5e14f4e7ce690a","observation_id":"9dd79f79-8d4e-4375-818a-14004ca0287e","resolution":{"observed_at":"2026-08-16T00:04:09.057748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:09.043908Z","title":"Theory of Lie Groups","venue":null,"work_id":"d2e4c21d-3f93-47bb-a3e0-b717a5328708","year":1946},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.695638Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:7971f196af5d227e4d9202983451bb194b74fd36394d7fcc6f10fc778e93bdb7","observation_id":"33c77929-33df-4f31-b288-cc806f83fe42","resolution":{"observed_at":"2026-08-16T00:04:09.047377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:09.033665Z","title":"Generalized phase-space distribution functions","venue":null,"work_id":"dbc54d57-497d-4114-a2f1-2a5aac4dbd7e","year":1966},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.699187Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:546b40b55ee7cd267f947418329e50544560a7876acf68d375b120418d75f9a4","observation_id":"18175b0d-3739-4907-87c9-b9b6d77955bf","resolution":{"observed_at":"2026-08-16T00:04:09.037170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:09.022956Z","title":"Time--frequency analysis","venue":null,"work_id":"ea53cf7f-19e0-48de-8a41-a8333e6eec66","year":2011},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.702916Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:1696c248386c0d9b3dbb2f1a26adbddc983418723f0000eb43673bb4d6a55c8c","observation_id":"88629728-71b0-4757-adb3-202f4ee7cc9a","resolution":{"observed_at":"2026-08-16T00:04:09.026714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:09.012401Z","title":"Time-frequency analysis of operators , volume 75 of De Gruyter Studies in Mathematics","venue":null,"work_id":"7d8c3a9a-307c-4ab4-901a-235bb85accca","year":2020},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.707014Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:45be54b063b7a39483f7bf1046945b291d8ca35f0e57de82cfac10f7cda3c3c7","observation_id":"72c40b5c-76ab-4b5d-83a3-b64d3b1cb30b","resolution":{"observed_at":"2026-08-16T00:04:09.016097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:09.002536Z","title":"Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes","venue":null,"work_id":"61791a17-b957-4a63-84df-2457a9c71ed6","year":2024},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.710816Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:8575d056423b41bced84c69187c587b4fed613bad0a0019536481f4ec38a7bb4","observation_id":"45d75912-5110-4710-80c5-eeca2fd1266c","resolution":{"observed_at":"2026-08-16T00:04:09.006204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.992620Z","title":"Wigner analysis of operators","venue":null,"work_id":"d82d0957-1293-4b00-a217-fbace8fa9c85","year":2022},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.715108Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:628f44b41c5214f86424e2fbc7e574905dcb333ca55002329ad509df9127a3d0","observation_id":"f2827750-fb74-4df0-bf7d-b2af01a58263","resolution":{"observed_at":"2026-08-16T00:04:08.995902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.982397Z","title":"Characterization of modulation spaces by symplectic representations and applications to S chr\\\" o dinger equations","venue":null,"work_id":"963c30ef-ab61-44a3-9362-fe645dc243e5","year":2023},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.718912Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:12ec39dd378ba53ea19d42806998bceb0e5921aeb3224e0e687667606441eb7d","observation_id":"b73da862-0099-4752-a0f0-e51e74af107e","resolution":{"observed_at":"2026-08-16T00:04:08.986306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.971886Z","title":"Wigner Analysis of Operators","venue":null,"work_id":"00ae9036-1c7e-4837-8d59-e3775a047269","year":2024},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.722292Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:e3285e042489d1dfa406db723d7148bb043c5c6d5d042389df81fa86563c3aee","observation_id":"e50e27ac-d595-407e-a439-e14c96ed3086","resolution":{"observed_at":"2026-08-16T00:04:08.975406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.961462Z","title":null,"venue":null,"work_id":"747d2182-7d16-4f9b-96f8-f472e4d43c03","year":2011},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.725847Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:1c12eaff71810e18078b72de546faad77f4c98067ce208044b06fe9b6fe6af67","observation_id":"c9baa02d-2b7c-4e2c-8105-7321e44f29ff","resolution":{"observed_at":"2026-08-16T00:04:08.964972Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.951136Z","title":null,"venue":null,"work_id":"037dd19a-d311-408d-900c-92b2ad3f354e","year":1989},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.729536Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:6c2ee280b41b73266d31306d4b7d0967829e2fa831f126e8578512d15cd5eb75","observation_id":"ceae6d1e-c1f8-433e-a5ad-ca66cb6ffd0a","resolution":{"observed_at":"2026-08-16T00:04:08.955048Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.939729Z","title":"M., and Vilenkin, N","venue":null,"work_id":"98049702-8045-411f-a3e9-8a5d27f3ddc9","year":2016},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.733252Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:5330f5abed15c8084caae7926969d73e6d12354f734fc075739350da8d9c7e54","observation_id":"d2758cab-8e79-42be-a705-e3156a1df7ad","resolution":{"observed_at":"2026-08-16T00:04:08.944514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.928503Z","title":"Classical Fourier Analysis , 3 ed","venue":null,"work_id":"ba7a7485-cfcc-4fad-a832-8f17a70f3bd8","year":2014},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.737081Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:9fe07afe3b77a4a69f6da965581e5dd430273170308ddd2228378ac84728d483","observation_id":"c47c28d5-dd70-4acc-94e7-f0feee898eb6","resolution":{"observed_at":"2026-08-16T00:04:08.932090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.917160Z","title":"o chenig, K. Foundations of time-frequency analysis . Applied and Numerical Harmonic Analysis. Birkh\\","venue":null,"work_id":"d70ebc1e-9110-4ebb-adc1-a33f8aca349e","year":2001},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.740456Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:bd780f5795d9f23cec3f33c553743f41edd5fe24747663eec8b9d8e93f21866e","observation_id":"f759f676-10fb-4e99-af95-d8b807c740e9","resolution":{"observed_at":"2026-08-16T00:04:08.921049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.905566Z","title":"o chenig, K. Time-frequency analysis of S j\\","venue":null,"work_id":"6054c172-506d-4efe-ac13-33117e1e4759","year":2006},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.743970Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:48ac3485ce0545ab2c1df62d6e8ca0378ea79bf242b786d9d82ad8717183721b","observation_id":"55b942be-ae0c-463d-b8a4-9d82f6e118c7","resolution":{"observed_at":"2026-08-16T00:04:08.909525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12112","last_updated":"2024-05-20T15:27:54Z","snapshot_observed_at":"2026-08-16T13:51:16.832553Z","submitted_at":"2024-05-20T15:27:54Z","title":"Benedicks-type uncertainty principle for metaplectic time-frequency representations","version":1},"cited_work":{"arxiv_id":"2405.12112","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.12112","snapshot_observed_at":"2026-08-16T00:04:08.822989Z","title":"Benedicks-type uncertainty principle for metaplectic time-frequency representations","venue":"math.FA","work_id":"8c1fa590-f0a0-43bd-baa4-6590db3ad2c2","year":2024},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.747660Z"},"links":{"cited_paper":"/paper/2405.12112","citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:1390f9db46f6c3daab4048980b86762c8db41c7174640910efa521118619daa5","observation_id":"5886ea16-566c-4946-8600-a5bf57fb1cab","resolution":{"observed_at":"2026-08-16T00:04:08.827609Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.13324","last_updated":"2025-03-17T16:01:43Z","snapshot_observed_at":"2026-08-16T12:49:17.811791Z","submitted_at":"2025-03-17T16:01:43Z","title":"More Uncertainty Principles for Metaplectic Time-Frequency Representations","version":1},"cited_work":{"arxiv_id":"2503.13324","doi":null,"metadata_source":"pith","pith_arxiv_id":"2503.13324","snapshot_observed_at":"2026-08-16T00:04:08.802908Z","title":"More Uncertainty Principles for Metaplectic Time-Frequency Representations","venue":"math.FA","work_id":"e498d2ee-acf6-4542-b89c-ac8be590fe3d","year":2025},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.751425Z"},"links":{"cited_paper":"/paper/2503.13324","citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:33017bbdbbdacfb8f5c13eddb71708da1e84c78f1eef08a1e9fbb39842c70374","observation_id":"9ce5760f-e420-4c30-922c-cc92b5dfcf09","resolution":{"observed_at":"2026-08-16T00:04:08.810204Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.893207Z","title":null,"venue":null,"work_id":"5e44c655-db2f-452f-8a09-04a717be2dcd","year":1979},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.755216Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:8e36e64cb46d382292254fc14f15c696388bb1cea234af17b9b40058ed704768","observation_id":"fe573534-dfbc-4b3c-942c-2c29824996d3","resolution":{"observed_at":"2026-08-16T00:04:08.897207Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.881892Z","title":null,"venue":null,"work_id":"92152df9-7a6a-4b51-8c84-5a0c66e32586","year":1996},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.758724Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:86cd65648de68c3e8ffb60f73b58759d71053a5862494ceb45a28d31cf53af72","observation_id":"08e9a848-9664-4f11-98af-0a0d4f3c55a8","resolution":{"observed_at":"2026-08-16T00:04:08.885607Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.869529Z","title":"Real and Complex Analysis , 3rd edition ed","venue":null,"work_id":"86a44573-da5c-4d33-9dfc-aa421251ae83","year":1986},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.762117Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:fe1bd5451d69f92a8f6c76926213fbc5a3a1414cbfd13fd6e4d6705e1c79a44a","observation_id":"0b6a6831-d7cb-44d5-bd96-0d48d2aa110f","resolution":{"observed_at":"2026-08-16T00:04:08.873749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.858278Z","title":null,"venue":null,"work_id":"d195beaa-2ecc-4b54-bb53-79cdc1676c66","year":1971},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.766184Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:85dd64f787de35bb9e760b5e8e4b4c769a2ad423334e5249129b432f474c48f7","observation_id":"2b4d4bfe-77df-404a-9ead-204a6a3e5670","resolution":{"observed_at":"2026-08-16T00:04:08.861875Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.847459Z","title":null,"venue":null,"work_id":"f6ae38ca-e7b1-4cef-91b8-48bb05d0b0e6","year":1967},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.769595Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:89db1ced56ddd33acd99c7ffb43994693a4e5853b740453d37b6530b3a388595","observation_id":"58ad07d5-4103-4412-ba89-ece488a0a556","resolution":{"observed_at":"2026-08-16T00:04:08.851000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T00:04:08.835894Z","title":null,"venue":null,"work_id":"7f429732-aa37-453b-89f1-9e8cf8ffa5d2","year":1984},"citing_paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:08.772886Z"},"links":{"citing_paper":"/paper/2505.03218"},"observation_digest":"sha256:d3d007f0e84cd1abe069bcbd6593d045cd8e1bb08b161c9920b3dcf5579df1a5","observation_id":"76e22253-ae45-4a73-bd38-a8d7e6b70807","resolution":{"observed_at":"2026-08-16T00:04:08.839331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.03218","last_updated":"2025-05-12T15:06:55Z","latest_version":2,"primary_category":"math.FA","snapshot_observed_at":"2026-08-15T23:54:30.317710Z","submitted_at":"2025-05-06T06:18:42Z","title":"A Characterization of Metaplectic Time-Frequency Representations"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":2,"verified_fuzzy":14},"total_outbound_references":23},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2505.03218."}