{"as_of":"2026-08-14T20:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bce1c71b6b1cc416877864e8bff8147f5ccc27316be392331b287d8aa64c6dd5","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T14:50:17.504703Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.07301/citation-record","integrity":"/paper/2607.07301/integrity","json":"/paper/2607.07301/citation-record.json","paper":"/paper/2607.07301"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.409601Z","title":"Aguilar and J.-M","venue":null,"work_id":"dd7f3d45-6c54-4c52-8eff-e3c50abcc6f7","year":1971},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:607e4dad93d0cd60c3b5692a7e61f07157085711ddd5315486bef59b8349a0a7","observation_id":"f52d4744-d0c6-45b4-bc68-2fe139d9f584","resolution":{"observed_at":"2026-07-09T14:56:18.410650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.419475Z","title":"Albritton, R Beekie, and M","venue":null,"work_id":"89e69d3d-2fe2-4a82-ba17-c81a767cd693","year":2022},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:32726759e782a39edefb4eb694ee24ce2a06db7ebb8b0221572a69257003d20e","observation_id":"08d805c5-9e77-4cec-820b-e527cd6941c4","resolution":{"observed_at":"2026-07-09T14:56:18.420442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.404321Z","title":"Almog,The stability of the normal state of superconductors in the presence of electric currents, SIAM J","venue":null,"work_id":"46aef129-311a-4c43-af58-6e27688c2686","year":2008},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:8311f2d74e29930447dfed287364673ecef8367b3a4b5e1edaa8f72191a04294","observation_id":"9ad4b180-5e77-4b13-a5ad-3b8e5c5af738","resolution":{"observed_at":"2026-07-09T14:56:18.405480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.402672Z","title":"Almog, D","venue":null,"work_id":"196a0376-39a9-4369-85b1-70be23a611e5","year":2018},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:401570479c48785ded4a2dbe22ff7f251f4a40e558acc4ebc5fb55f08208b188","observation_id":"ea874172-8b56-4225-9a45-94959eccf081","resolution":{"observed_at":"2026-07-09T14:56:18.403795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.406098Z","title":"Almog, D","venue":null,"work_id":"5970a306-3cd4-4b38-ba0a-aae46ff9cc1c","year":2019},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:648d2048502e02347ff46b6071fa70e826ba0c1f22baa6194396c779326cd695","observation_id":"28cb24c8-4741-4ec8-95e0-5ca9492dc67b","resolution":{"observed_at":"2026-07-09T14:56:18.407271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.411251Z","title":"Almog and B","venue":null,"work_id":"2d4e3ac6-8da9-4a09-a296-6653e619884e","year":2020},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:6ce7f4920813499617445e07c189124f793122702243c0b7d386d67468323d49","observation_id":"f02d1c25-7461-4145-8d81-8f79a25033f8","resolution":{"observed_at":"2026-07-09T14:56:18.412423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.421344Z","title":"Almog and R","venue":null,"work_id":"0c1a1e85-4dae-42db-b828-4844f19c473c","year":2016},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:a644fc6fe07295b95f29ba9bdcded9a5c28611d149cc32f41f5a11af957d2fbd","observation_id":"b2f1bbd7-346c-4a57-83de-1d473bab3bc5","resolution":{"observed_at":"2026-07-09T14:56:18.422396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.397326Z","title":"Arnaiz, J.-F","venue":null,"work_id":"91f96b36-905c-4f04-9591-39df72b70088","year":null},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:6b450c7a5eb8fee6a8c8a09a3dcc45a6bd3e2193efe69be0976ccf1e394cc97b","observation_id":"4b498f9b-daa9-4156-8851-a52b3ca7e24d","resolution":{"observed_at":"2026-07-09T14:56:18.398521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.399133Z","title":null,"venue":null,"work_id":"65d8ef00-7ba4-48b6-bbe0-d2e6b3cb44a9","year":1976},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:031776258e48dc24a00064034f0f3a1890eb9c7df044e5cc209def9243d7ff12","observation_id":"0c6c620e-8dca-4ab4-9228-535c6827d9b1","resolution":{"observed_at":"2026-07-09T14:56:18.400247Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.04296","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:17.893403Z","title":"Averseng, N","venue":null,"work_id":"8eb6f0b9-4f92-4568-b2b4-56731eb92535","year":2025},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:902cc66dd703b33f86b0909700050806fb25d6bf40811c366864c529a0482158","observation_id":"7a04a0b7-3ac3-4423-8b42-d03661f1624d","resolution":{"observed_at":"2026-07-09T14:56:17.895213Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.393381Z","title":"Beauchard, B","venue":null,"work_id":"fdd6ca1e-b4b1-4dde-a014-e69610185ce2","year":2015},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:be6c9381536940d6b6765212300e6adbd56749573d9a0e332c36486916b911a4","observation_id":"1fa32982-ba30-43b6-8404-8855bcaffd9a","resolution":{"observed_at":"2026-07-09T14:56:18.394529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.395172Z","title":"Bedrossian and M","venue":null,"work_id":"896531e6-a0c5-464c-8ebc-001044a93237","year":2017},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:115fd0e8f4fc82d201b257b5f700be3388a55a5cdf54b511609ad11eb4e83adb","observation_id":"0c828644-34ed-433a-9b5d-107b3b8a1d0b","resolution":{"observed_at":"2026-07-09T14:56:18.396214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.400827Z","title":"Brezis,Functional analysis, Sobolev spaces and partial differential equations, Universitext, Springer, New York","venue":null,"work_id":"612b9773-68d6-4ad1-9a06-14bed806beb5","year":2011},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:0e103d90b309fc8bd153f3e17350e0593210502d7e7ab262cf1563b8456c9d3a","observation_id":"82b729ec-e91b-4dfa-86b7-2766cfed11ae","resolution":{"observed_at":"2026-07-09T14:56:18.402040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.407939Z","title":"Combes, P","venue":null,"work_id":"e8527fd4-9293-48c3-a8a6-89b6494e3bdf","year":1983},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:842803f4a92d6d6665e26b14f9dbc786e3163461301dae33e8a863d6f9ea5c23","observation_id":"2675784e-fa12-4b70-9446-9648935f4705","resolution":{"observed_at":"2026-07-09T14:56:18.408974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.413171Z","title":"Coti Zelati and T","venue":null,"work_id":"ae929ae6-a1ba-431e-aa31-d28a198d1438","year":2021},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:d9dde1bcce7e5d9c6c3f2fa36c947cc948aa969ca5937d9858e2afca446c2a41","observation_id":"c75e6222-a84b-4a9f-b8a9-05984925f732","resolution":{"observed_at":"2026-07-09T14:56:18.414597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.422921Z","title":"Coti Zelati and T","venue":null,"work_id":"eae03b4a-9e89-495f-9aca-47350fe32e74","year":2023},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:b3479ac575d120cbff15d180305e1f99fb498419423e4b8d783fd2c4c849090a","observation_id":"c0d4aba8-3fb5-4aad-852b-003b903a86a0","resolution":{"observed_at":"2026-07-09T14:56:18.424061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.424559Z","title":null,"venue":null,"work_id":"fb31ca28-63a8-47ee-b747-94c03e7d17aa","year":1999},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:27a1a6ba800edfef3db456525206b75a4a4c3e742bbea8f311e4d0fd043b58e7","observation_id":"cb1ef3a0-4135-49c7-a500-762bf42e1b58","resolution":{"observed_at":"2026-07-09T14:56:18.425581Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.388138Z","title":"Dencker, J","venue":null,"work_id":"7b261d5a-37af-4fc7-960e-27882c0aba44","year":2004},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:171f160cdd8c8d104615ab12807c6ca55a3638d70529194a103568b3353f1ff6","observation_id":"d096c58d-b3f2-43a7-9dca-0f9e06112f90","resolution":{"observed_at":"2026-07-09T14:56:18.389309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.389954Z","title":"Dimassi and J","venue":null,"work_id":"e29e8fe2-0840-4eeb-b894-5d1eea7f191a","year":1999},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:3acf5f40f08e5ae6ae0f84201535d741416a85bec46dc5762d5ea13a55f8f733","observation_id":"7a0ef935-2647-4d5b-8bd7-35aafa901774","resolution":{"observed_at":"2026-07-09T14:56:18.390953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.382808Z","title":null,"venue":null,"work_id":"43e8b08a-6b8a-4520-9fec-f8ec07566eca","year":2004},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:452266506a4d9010977a5011b61c34b8795c255664be59efb77e08cc3144e843","observation_id":"1a37f549-727c-4d79-8d7a-84302fc0a272","resolution":{"observed_at":"2026-07-09T14:56:18.383797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.384412Z","title":"Helffer,Semi-classical analysis for the Schr¨ odinger operator and applications, Lecture Notes in Mathe- matics, vol","venue":null,"work_id":"72f10a81-4e48-4eb5-ad40-79ca3fc2a337","year":1988},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:ee1017b7700f8f04f82b5c2d90f8855677cd57e7b22d0711dbf1e6295025f309","observation_id":"d630f5be-ec00-4607-909b-3319993bd416","resolution":{"observed_at":"2026-07-09T14:56:18.385696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.391548Z","title":"Helffer,Spectral theory and its applications, Cambridge Studies in Advanced Mathematics, vol","venue":null,"work_id":"d3fa27a2-045e-4a05-a4c0-757b13263c14","year":2013},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:ff762240a175119f019b6681521a5cf6bf45a3f6e24570e4e69bca5ba32c31b7","observation_id":"0e531efe-eabe-4c25-bba3-8fb0239ad0a0","resolution":{"observed_at":"2026-07-09T14:56:18.392720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.379519Z","title":"Helffer and J","venue":null,"work_id":"031cc968-61f6-4092-97d8-e46e1822e1de","year":1984},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:fecf1bd51af1064572853e5ae39bb03a9d0cd050d0a9b7bc321ecf292f39f467","observation_id":"98fc115c-25ea-4cac-8eff-9b03a8d41657","resolution":{"observed_at":"2026-07-09T14:56:18.380484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1001.4171","last_updated":"2010-01-23T16:38:14Z","snapshot_observed_at":"2026-07-06T02:02:44.128432Z","submitted_at":"2010-01-23T16:38:14Z","title":"From resolvent bounds to semigroup bounds","version":1},"cited_work":{"arxiv_id":"1001.4171","doi":null,"metadata_source":"pith","pith_arxiv_id":"1001.4171","snapshot_observed_at":"2026-07-09T14:56:17.889689Z","title":"From resolvent bounds to semigroup bounds","venue":"math.FA","work_id":"37f57bde-e6cd-450d-aeed-60f84c7e532e","year":2010},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"cited_paper":"/paper/1001.4171","citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:2d318e7f0ad63967c75ef796d971dee396c8ccbf5f03a7ecda7fc12fec32f4c9","observation_id":"241d1bf5-8962-441a-b133-5af234c88553","resolution":{"observed_at":"2026-07-09T14:56:17.891229Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.377815Z","title":"Helffer and J","venue":null,"work_id":"c11cc532-a733-44ea-b3af-86ce1c77f118","year":2021},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:4f56071cdb8f4eecc228df2e4df16470696caa7a5d0e8ba66f05f55ce713f8f2","observation_id":"7d41f3fe-ba27-4655-83d6-e7c1f029ad0c","resolution":{"observed_at":"2026-07-09T14:56:18.378898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.381039Z","title":"Henry,Spectre et pseudospectre d’op´ erateurs non-autoadjoints, Th` ese Universit´ e Paris Sud (2013)","venue":null,"work_id":"c522c024-27a3-4a14-886b-c16410dd1a48","year":2013},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:f5a72c37a77e9d48f3f1c0461a656bfb8e9d2685fc62d4505728628ae55e932f","observation_id":"9c0868a9-bdd7-45a4-a025-01a4de34d23a","resolution":{"observed_at":"2026-07-09T14:56:18.382192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.373908Z","title":"H´ erau, M","venue":null,"work_id":"6752b668-2d58-41e7-9da1-4209a48a96ff","year":2008},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:a4199d39d093c5b4d7424869893253b8e153e1a98e13f774db8b9a2e8f410e3d","observation_id":"110edceb-bbf5-46e9-a0f9-14576e6b6b07","resolution":{"observed_at":"2026-07-09T14:56:18.375043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.375673Z","title":"Kato,Perturbation theory for linear operators, second ed., Grundlehren der Mathematischen Wis- senschaften, vol","venue":null,"work_id":"fb36e1fe-3403-4947-bc8a-43ee46ab2149","year":1976},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:69453a3a38fa0aa06fd4825537b4544628c5e0c833562e055774faa88a0c7dbf","observation_id":"2f11c6c0-df3b-4bef-bacf-d055b66ccbe7","resolution":{"observed_at":"2026-07-09T14:56:18.377177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2601.17643","last_updated":"2026-06-25T22:26:30Z","snapshot_observed_at":"2026-08-09T04:56:09.059799Z","submitted_at":"2026-01-25T01:31:29Z","title":"Harmonic Approximation and Resolvent Estimates for Semiclassical Non-Self-Adjoint Operators","version":2},"cited_work":{"arxiv_id":"2601.17643","doi":null,"metadata_source":"pith","pith_arxiv_id":"2601.17643","snapshot_observed_at":"2026-07-09T14:56:17.896720Z","title":"Harmonic Approximation and Resolvent Estimates for Semiclassical Non-Self-Adjoint Operators","venue":"math.SP","work_id":"7055c2fc-8e48-432b-8acd-82e4d6db79df","year":2026},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"cited_paper":"/paper/2601.17643","citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:c95dfd346d85c27ead84b4d650d7ab1b32d8bf50fdaa0a70a5cf962e45448d0d","observation_id":"1626bc77-37f9-4510-9084-f5ae7879f07c","resolution":{"observed_at":"2026-07-09T14:56:17.898300Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.386422Z","title":"Martinez and M","venue":null,"work_id":"fff19aff-eb75-427d-8983-8de079a2f629","year":1988},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:f7616421bd0a86bb6783a9527123c7e9f536988a730187884785beb58d9b3a29","observation_id":"79c01ecd-a566-469c-9609-405bbd123c24","resolution":{"observed_at":"2026-07-09T14:56:18.387491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.417012Z","title":"Morin, N","venue":null,"work_id":"290e20f4-2dd7-48b1-8d42-c2eaf2a586a7","year":2023},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:195139e07f51a7bf94ce5a13fd86f868f13527f373f7f9b85976f0273700a77f","observation_id":"f2708515-a951-4fd8-962e-92f08025f610","resolution":{"observed_at":"2026-07-09T14:56:18.418213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.415452Z","title":null,"venue":null,"work_id":"e79d7ebf-97e0-4890-a410-ac79d283ab13","year":2002},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:d4de6cddae6f7f08698e9ea1a83bff2b6eda3f7f6733c14b8751b102659c8656","observation_id":"55da29f8-25b0-4631-9479-7d7651ba6afd","resolution":{"observed_at":"2026-07-09T14:56:18.416524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.436500Z","title":"Sibuya,Global theory of a second order linear ordinary differential equation with a polynomial coefficient, North-Holland Math","venue":null,"work_id":"4c547c80-7ccd-4292-9f8a-1e7037620036","year":1975},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:86876132c1405949e3b5aa8637a8392c9346d116a06186f34804d9b77de65072","observation_id":"b63f8ae3-29c3-4ec9-969b-f2694d9d3017","resolution":{"observed_at":"2026-07-09T14:56:18.437799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.434573Z","title":"Simon,Semiclassical analysis of low lying eigenvalues","venue":null,"work_id":"28261fe3-f0e7-4f8a-9cd5-b9ef5abd158c","year":1983},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:b5e9405601f8a9596508bcdc48ef8316d92602491fd09d921f53d222567ed1da","observation_id":"e34d84fe-6234-4a3d-a9ac-99ab9a4a4877","resolution":{"observed_at":"2026-07-09T14:56:18.435964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.426170Z","title":"Sj¨ ostrand,Non-self-adjoint differential operators, spectral asymptotics and random perturbations, Pseudo-Differential Operators","venue":null,"work_id":"0806c77b-709b-48c6-9776-843ab865a9fe","year":2019},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:2aba9232f4ef8f7235d3fad79586a24821b7be0d5583d8da2e9e0c2d8a98de63","observation_id":"d964de94-3653-4ae9-b668-0a4663f89edd","resolution":{"observed_at":"2026-07-09T14:56:18.427619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.428551Z","title":"Trefethen,Pseudospectra of linear operators, SIAM Rev.39(1997), no","venue":null,"work_id":"861cc58e-fad0-4fa1-8b5c-3163be245ba1","year":1997},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:b2cc5a324e3c07047b614d9c156b4aedb4d50da59c05d389116b912a08a1b609","observation_id":"ea5a57b9-ef32-4b52-8871-5af20b1d228b","resolution":{"observed_at":"2026-07-09T14:56:18.429829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.430503Z","title":"Wei,Diffusion and mixing in fluid flow via the resolvent estimate, Sci","venue":null,"work_id":"73b7fbda-b627-416c-921b-4847fba470ab","year":2021},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:f082eaa78c96102058a3f61cff110f68947ceadab740690dc8821395352ca9a3","observation_id":"37eefbb7-2637-4a74-a850-9711e5dc3e8a","resolution":{"observed_at":"2026-07-09T14:56:18.431837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T14:56:18.432557Z","title":"Whitney,Functions differentiable on the boundaries of regions, Ann","venue":null,"work_id":"00c5a46c-4e72-435a-ad0e-702bcdf39295","year":1934},"citing_paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-09T14:50:17.504703Z"},"links":{"citing_paper":"/paper/2607.07301"},"observation_digest":"sha256:f9ed72d4f267bf75a54b5bb2a6a546aa84efc5921ec7d3a15e8adf0cc8eb60ed","observation_id":"85369ab9-6b16-4777-8b29-e86f6319bc26","resolution":{"observed_at":"2026-07-09T14:56:18.433804Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.07301","last_updated":"2026-07-08T11:43:00Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-04T03:39:35.558342Z","submitted_at":"2026-07-08T11:43:00Z","title":"Semiclassical Schr\\\"odinger operators with purely imaginary potential"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":3,"verified_fuzzy":31},"total_outbound_references":38},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2607.07301."}