{"as_of":"2026-08-18T11:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1f81847e6b3fea8e72a221e4777b733e74076f596b889dbf6eac6fe21722d0f6","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:37:31.516897Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-11T21:33:56.505577Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1508.05738","last_updated":"2015-08-24T10:04:49Z","snapshot_observed_at":"2026-08-14T22:35:29.397988Z","submitted_at":"2015-08-24T10:04:49Z","title":"Wave Operators for Schr\\\"odinger Operators with Threshold Singuralities, Revisited","version":1},"cited_work":{"arxiv_id":"1508.05738","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.05738","snapshot_observed_at":"2026-08-11T21:33:56.505577Z","title":"Wave Operators for Schr\\\"odinger Operators with Threshold Singuralities, Revisited","venue":"math-ph","work_id":"8bb42371-0601-46ef-aba0-342385a96bbe","year":2015},"citing_paper":{"arxiv_id":"2412.04406","last_updated":"2024-12-05T18:25:27Z","snapshot_observed_at":"2026-08-12T09:31:53.362146Z","submitted_at":"2024-12-05T18:25:27Z","title":"Intertwining operators beyond the Stark Effect","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T21:33:56.465276Z"},"links":{"cited_paper":"/paper/1508.05738","citing_paper":"/paper/2412.04406"},"observation_digest":"sha256:54867e6627d45e8871a8d0fa4ed6504db5e10f47c989ab710c80cf3a6eeb9afe","observation_id":"63738d6a-c47b-4327-802c-f5232b9ae5fb","resolution":{"observed_at":"2026-08-11T21:33:56.512248Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.05738","last_updated":"2015-08-24T10:04:49Z","snapshot_observed_at":"2026-08-14T22:35:29.397988Z","submitted_at":"2015-08-24T10:04:49Z","title":"Wave Operators for Schr\\\"odinger Operators with Threshold Singuralities, Revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.05738","snapshot_observed_at":"2026-08-15T19:37:31.516897Z","title":"Yajima, Wave Operators for Schr¨ odinger Operators with Threshold Singularities, Revisited","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.16378","last_updated":"2026-07-16T13:57:26Z","snapshot_observed_at":"2026-08-15T19:25:24.415156Z","submitted_at":"2025-06-19T14:58:07Z","title":"$L^p$ boundedness of wave operators for higher order schr\\\"odinger operators with threshold eigenvalues","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T19:37:31.516897Z"},"links":{"cited_paper":"/paper/1508.05738","citing_paper":"/paper/2506.16378"},"observation_digest":"sha256:3b7ee3bbaddc1aedda68f0d6a58fcb6b9be9748a7d467ef54030882785218cd8","observation_id":"a1013de0-53e5-4720-ac38-4823759cdb4a","resolution":{"observed_at":"2026-08-15T19:37:31.516897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.05738","last_updated":"2015-08-24T10:04:49Z","snapshot_observed_at":"2026-08-14T22:35:29.397988Z","submitted_at":"2015-08-24T10:04:49Z","title":"Wave Operators for Schr\\\"odinger Operators with Threshold Singuralities, Revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.05738","snapshot_observed_at":"2026-08-04T15:52:38.487011Z","title":"Yajima,Wave Operators for Schr¨ odinger Operators with Threshold Singularities, Revisited","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.18003","last_updated":"2026-07-16T14:13:43Z","snapshot_observed_at":"2026-08-04T22:12:43.284581Z","submitted_at":"2025-09-22T16:41:13Z","title":"The $L^p$-continuity of wave operators for fractional order Schr\\\"odinger operators","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T15:52:38.487011Z"},"links":{"cited_paper":"/paper/1508.05738","citing_paper":"/paper/2509.18003"},"observation_digest":"sha256:63f78177dedc6dc28509cc46d8505cf1aa926b2e9ed6caebff2d4733b22acbff","observation_id":"6da914c6-9f2e-4f6f-8f11-28ef32c9ff87","resolution":{"observed_at":"2026-08-04T15:52:38.487011Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1508.05738/citation-record","integrity":"/paper/1508.05738/integrity","json":"/paper/1508.05738/citation-record.json","paper":"/paper/1508.05738"},"outbound":[],"paper":{"arxiv_id":"1508.05738","last_updated":"2015-08-24T10:04:49Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-14T22:35:29.397988Z","submitted_at":"2015-08-24T10:04:49Z","title":"Wave Operators for Schr\\\"odinger Operators with Threshold Singuralities, Revisited"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1508.05738."}