{"as_of":"2026-08-16T17:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d0c72906ae6e3ab7b0051ce9c57b5ba896f8f7aa16c61ac4f8749ea7332c8189","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:31:43.606669Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.03570/citation-record","integrity":"/paper/1908.03570/integrity","json":"/paper/1908.03570/citation-record.json","paper":"/paper/1908.03570"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:31:43.817013Z","title":null,"venue":null,"work_id":"57b0182c-09bc-45f7-909e-1945e0eeff97","year":1947},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.546736Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:91727ebe5cdf3b5e4552a7230a4fac57881f5b1d24e62947c677191665204d84","observation_id":"699d79bc-26c1-4c63-8428-9910a291b20d","resolution":{"observed_at":"2026-08-14T14:31:43.822413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.803781Z","title":"1, 157–199","venue":null,"work_id":"8150ceb8-336a-4b8c-9146-da17610de1d8","year":2018},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.552285Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:eb915cf06920c573f53a2b137f7369d5506f774f9f3f3abf3af32638712e45e4","observation_id":"ed38ca30-9df2-4b9f-9743-b5c467ebd93f","resolution":{"observed_at":"2026-08-14T14:31:43.807999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.789859Z","title":"9-10, 2055–2069","venue":null,"work_id":"55a5a52a-0b75-4cd4-9b40-2713b32dd367","year":2002},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.556578Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:44199fcd326e3fc50f003bae277a1cee65b650f50c7cdcee26fa288c68bd4eeb","observation_id":"aace07dd-a442-4ffc-9aaf-172b0932f249","resolution":{"observed_at":"2026-08-14T14:31:43.794405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.776728Z","title":null,"venue":null,"work_id":"5fedc5cc-b826-44f5-8ca2-900acf0f58cb","year":2009},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.561029Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:17ba267a212bc3b502612311e833f5e7e9fdf69afb792ce1af48bb2a203e89bd","observation_id":"1691ad75-0213-4a4c-91e2-c45270216afe","resolution":{"observed_at":"2026-08-14T14:31:43.781089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.763645Z","title":null,"venue":null,"work_id":"bff2b796-6e69-4816-9056-ed5379e6ff27","year":1953},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.566088Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:2356ff51604450abf6bd18e35721d54e8bad2343e1bae5ca4447752ca760a048","observation_id":"2a399fd6-7cef-4beb-b696-5d3c3a6eeef1","resolution":{"observed_at":"2026-08-14T14:31:43.768083Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.748818Z","title":"Grebenkov and Binh Nguyen, Geometrical structure of Laplacian eigen- functions, SIAM Review 55 (2013), no","venue":null,"work_id":"211da4bd-287a-4f60-ae94-f1ff8e77e722","year":2013},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.570754Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:c9b7b1dc5e50aa622d39ed4e0351daa0bd8ff7d8effe4a3c2ae582c29e0d60fb","observation_id":"1a013f8e-d74c-4ba0-9599-8378cc7d4940","resolution":{"observed_at":"2026-08-14T14:31:43.754399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.736243Z","title":null,"venue":null,"work_id":"56be9a20-7960-48ff-9b32-57d07c9fce77","year":1955},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.575701Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:a6f9eca0a717d843cae566b6d4e03de835a7fb3fa4946e041f0f5b7404a07403","observation_id":"d307b3bf-9f74-4afe-9672-ccf8088f90d3","resolution":{"observed_at":"2026-08-14T14:31:43.740211Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.721987Z","title":"5, 1089–1119","venue":null,"work_id":"9a11c2a5-59d2-4fbd-a916-0cb7d09d6b42","year":2013},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.579964Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:611e454169ca1b3e44e4e382e8cd46648bcd0597dc8069451d38256895d1d493","observation_id":"f25a2a7e-4803-436b-8fd6-62a573f5c590","resolution":{"observed_at":"2026-08-14T14:31:43.726826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.706581Z","title":null,"venue":null,"work_id":"92279e47-6605-4fd0-ab80-4817e918c99c","year":2019},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.584023Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:31178be923eaeb574c22dc890aa1a9f27b127179c5ee71992fd843b99a88c8c2","observation_id":"0f4c9c1e-5844-4635-93d3-4963fa9b66f1","resolution":{"observed_at":"2026-08-14T14:31:43.712246Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.692143Z","title":"1, 191–200","venue":null,"work_id":"3f52dc27-17ed-4566-8e7d-6a267e600989","year":2013},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.588237Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:2e683e63bb05dd481969e169a83f7ba56b0c9b2c23cae44bade2bcdbd360450a","observation_id":"2d35a8d9-b534-49f6-a955-07e164a8058c","resolution":{"observed_at":"2026-08-14T14:31:43.696771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.678368Z","title":"1, 135–152","venue":null,"work_id":"f71cf182-4b16-4faf-9477-e8e6c1621164","year":2011},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.592545Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:d604b57f9b9dd7f93580daa2fced0cc5462f51debd572b81f291645e0d11610e","observation_id":"cf349e90-6341-48ec-9a06-7c7be59bcb0f","resolution":{"observed_at":"2026-08-14T14:31:43.682942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.664486Z","title":null,"venue":null,"work_id":"dc0b04fc-4e1d-4d01-81f3-d804cfb080c4","year":1992},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.596955Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:d37f043ca02ad48685d5207ac84a90f72eb38c1d71aca647b18801834a3bf0c8","observation_id":"f6515a2f-5797-45e1-8b32-bc30deabaaaf","resolution":{"observed_at":"2026-08-14T14:31:43.668778Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.650787Z","title":"140, Amer","venue":null,"work_id":"9af77c12-a952-4afa-b2c8-a204c9efaa30","year":2012},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.601212Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:891bbe35615f0d2b83dcbd1326be60eb070c317408f4e348a6c443e75922fce6","observation_id":"442fc424-bb23-4cf6-b8bf-764c92990eb0","resolution":{"observed_at":"2026-08-14T14:31:43.655143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:31:43.635544Z","title":null,"venue":null,"work_id":"af3a132a-7853-499c-8c4e-66b1cacaedf0","year":1972},"citing_paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:43.606669Z"},"links":{"citing_paper":"/paper/1908.03570"},"observation_digest":"sha256:2d16210e0bf61c4da0f6fd22b6b81cd97a6fee8bfda470a1f60eeed09cdbebe1","observation_id":"a095a638-0276-486f-bb1a-ee70a58f8f53","resolution":{"observed_at":"2026-08-14T14:31:43.641153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.03570","last_updated":"2019-08-09T13:34:47Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T04:38:27.435405Z","submitted_at":"2019-08-09T13:34:47Z","title":"Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":14},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.03570."}