{"as_of":"2026-08-07T23:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7cbdfde92a1b017bc90aa4928fdf2ed8e4745aafaad055df0794ef135bca2f34","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:36:59.893617Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.07892/citation-record","integrity":"/paper/2506.07892/integrity","json":"/paper/2506.07892/citation-record.json","paper":"/paper/2506.07892"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:37:00.244234Z","title":null,"venue":null,"work_id":"52ad2f9d-476c-4d0d-9f58-1cfd0e7a9874","year":1992},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.798176Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:bb768dff4f68d581de18d1087d23b655adeef271f15a3e027cabd0eb85cd9924","observation_id":"9e24da85-300d-4854-9924-d8db9ef491e5","resolution":{"observed_at":"2026-08-07T05:37:00.248853Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.228848Z","title":"A., & Ivanov, S","venue":null,"work_id":"67d2f188-665c-4a17-801c-1ec91d271560","year":1995},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.805588Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:d726edf0be901ff4bf3b57d8e04f9895abc82ae02546eabf40caef68b881faff","observation_id":"c135e460-bfe9-4f36-8d55-d4216f08d837","resolution":{"observed_at":"2026-08-07T05:37:00.233579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.212491Z","title":"M., & Slemrod, M","venue":null,"work_id":"96916e62-b5f8-42a0-a951-d5b447aeb181","year":1979},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.811259Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:9a4c93c27cbe1e97176412adae340b0499c0c1304b8304dc6108cfc172b353bc","observation_id":"805058c7-f406-4e15-9ca1-21b440e42fd5","resolution":{"observed_at":"2026-08-07T05:37:00.218157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.196322Z","title":"F., & Pritchard, A","venue":null,"work_id":"84f2c898-f63b-471b-8ea0-c81cade2e2e1","year":1978},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.816582Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:396bf3e132dc3b9bba3268733aaccca42e55b73eef0f7c45612f6edeced55ce0","observation_id":"d1ec2fa4-36ba-4f3a-8235-ec72384101e6","resolution":{"observed_at":"2026-08-07T05:37:00.201446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.180671Z","title":null,"venue":null,"work_id":"74a9d13a-5890-44af-9e5b-55c8b54a9234","year":1977},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.822116Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:d17e0f38c1fa1b1d0779c74636cbbdbba33f3e976ba8e778d6e66ade74aa1e41","observation_id":"bec70c67-f932-4231-9815-6e8c379b5279","resolution":{"observed_at":"2026-08-07T05:37:00.185730Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.164046Z","title":null,"venue":null,"work_id":"2414b7e1-3585-4eaa-8980-bf861932e25e","year":1987},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.827606Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:fd35c150d97e6f4f7baeed9e6d1b35dd7ca83dba0e523a3e775d935ed304231a","observation_id":"5d46190a-5892-4ea4-8592-0d3c47223a44","resolution":{"observed_at":"2026-08-07T05:37:00.169465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.148581Z","title":"C., Zerrik, E., & Pritchard, A","venue":null,"work_id":"ebba9879-d67b-493b-a7b5-ee0b4ed340dc","year":1995},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.834528Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:7301f503b65055a8e6d8692fe9ef3ee449672c57cd173627c86527d617a27786","observation_id":"babe5974-d33c-425f-a745-d2107bc99107","resolution":{"observed_at":"2026-08-07T05:37:00.153519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.130563Z","title":null,"venue":null,"work_id":"71dcca38-fb86-4c87-84f5-519cbcdfe581","year":1997},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.839141Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:e6728a5f717b92d380b8aee92ac1c95a55241aee1ad2917ea9983f2dc2950ee4","observation_id":"73e8f0d0-fffa-421e-b112-d50e766e33b5","resolution":{"observed_at":"2026-08-07T05:37:00.137067Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.111992Z","title":"and Imanuvilov, O","venue":null,"work_id":"0bf2b5dc-caf9-4f59-8bdd-5c1bec22be96","year":1996},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.844815Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:b66d005b7ec4e24df1f785c49b56c61cb6a9c42f5bc09000572d1b0c2df85e02","observation_id":"b45a121e-bfe3-4c5b-931c-97c10547474d","resolution":{"observed_at":"2026-08-07T05:37:00.117280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.093691Z","title":null,"venue":null,"work_id":"0c013b5f-3897-498d-a891-8f848a02c137","year":2003},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.850253Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:cbcbb4f3e3841929d02a93c76e367bd3ad8c04ca684172c86fa032b616fe8fcf","observation_id":"2f838b5e-35e6-47af-8bdb-5db81b6c3c7c","resolution":{"observed_at":"2026-08-07T05:37:00.099140Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.076076Z","title":null,"venue":null,"work_id":"4f001b2a-7eda-4f9d-b9c9-3ca741f17df5","year":1995},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.855407Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:a73917a06cca4fddf37de58be77c03251323b61bf5ad88cf5e4c980edbb550f1","observation_id":"35602122-8cea-4131-971f-0134c91f059b","resolution":{"observed_at":"2026-08-07T05:37:00.081408Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.060824Z","title":null,"venue":null,"work_id":"53d8ce40-8bae-4223-900a-c48a7f0db34e","year":2012},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.860263Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:ccb843702d28ddaf033a3e984c162143390311bd12742296de26ce2fc377f111","observation_id":"f1397a55-2697-4d8f-86cf-4c779c729b45","resolution":{"observed_at":"2026-08-07T05:37:00.065535Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.045066Z","title":null,"venue":null,"work_id":"0e041d31-a4d7-4727-bf0c-6a35657172ea","year":2017},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.864827Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:a1984eaeb2b8c440e2b10ac724f2036e950bd8771499a9880bdfb8400b75beab","observation_id":"3056b23d-d474-4286-8ee8-36b27559979d","resolution":{"observed_at":"2026-08-07T05:37:00.050201Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.026841Z","title":"Approximate controllability for the semilinear heat equation","venue":null,"work_id":"416c2fff-16da-4051-8346-c54d1d67549c","year":2007},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.869387Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:2a42024635f809fad55b7440689fdd543aba1bc777e380a67e189a9de140aaf9","observation_id":"ba9b033e-6c16-4f5e-aeb1-e1609173dc75","resolution":{"observed_at":"2026-08-07T05:37:00.032833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:37:00.007510Z","title":null,"venue":null,"work_id":"cb4d1962-d505-4cbd-851e-d4ed340906dd","year":1973},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.874487Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:20777241d4aadec5aef206a830db851947f86e3d4ccd119a57f0bcb27c683e5e","observation_id":"0b6abea0-71e2-4cbc-b2ea-e2d256cdd871","resolution":{"observed_at":"2026-08-07T05:37:00.012971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:36:59.989461Z","title":null,"venue":null,"work_id":"7e6a6d94-47c8-4cb2-9a44-2b2df0a435df","year":1978},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.878921Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:9551b29836f3551374ddeb0187b3a989ede64333fc64fdc7f11a85b878662aaa","observation_id":"8f122a98-4b30-4a3f-852d-65896ee0bda5","resolution":{"observed_at":"2026-08-07T05:36:59.994674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:36:59.973197Z","title":null,"venue":null,"work_id":"d8d9017e-04c7-4147-b50f-73daf0c66e7d","year":1977},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.883495Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:2b8c1791223b55c8b1fde7141763bb103d1e057e65b7fe6a40b0fc46c43fd548","observation_id":"562f48ed-525b-44c9-b8e6-00f55e391bc6","resolution":{"observed_at":"2026-08-07T05:36:59.978031Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:36:59.956409Z","title":null,"venue":null,"work_id":"2a14e0c4-d68f-4d3f-a400-1d95002ff9c9","year":2000},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.888186Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:6dd60329c4d2fa972ad9b8156c2d938e3bb1d08bbf6293151f8644b8d5f7dcb7","observation_id":"02057a5b-246d-4cbb-90bc-927824432445","resolution":{"observed_at":"2026-08-07T05:36:59.961501Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:36:59.932067Z","title":"Controllability of partial differential equations and its applica- tions","venue":null,"work_id":"35e42f8b-ddfe-4ffa-a201-ca553aaf7192","year":2009},"citing_paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:36:59.893617Z"},"links":{"citing_paper":"/paper/2506.07892"},"observation_digest":"sha256:c12164816fa8e502a608c6b52031e052b6d4285d50b503cb34e1ae90314800e4","observation_id":"6622ffd9-9620-43db-a980-c3d6ad8acd67","resolution":{"observed_at":"2026-08-07T05:36:59.941074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.07892","last_updated":"2025-06-09T16:07:19Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T05:20:30.575271Z","submitted_at":"2025-06-09T16:07:19Z","title":"Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":19},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.07892."}