{"as_of":"2026-08-07T05:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d7bdac57fec07cc7e27be0eca3e4dc26f879deef80bee66e4132bc3622413f9","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":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:11:43.242241Z","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":"2026-07-02T10:16:52.440678Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-08-06T11:11:43.242241Z","title":"Toward Picard-Lefschetz theory of path integrals, complex saddles and resurgence","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.23125","last_updated":"2025-07-30T22:05:02Z","snapshot_observed_at":"2026-08-06T15:58:08.939669Z","submitted_at":"2025-07-30T22:05:02Z","title":"Path integral analysis of Schr\\\"odinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T11:11:43.242241Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2507.23125"},"observation_digest":"sha256:33ce5aaac209e59c9f5d2db37afbbf46d00837df9755b9b39cc9f044f9cfa8ca","observation_id":"24b666d8-c5f1-4974-8494-0623207d4901","resolution":{"observed_at":"2026-08-06T11:11:43.242241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-08-03T20:15:06.698801Z","title":"Behtash, G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.20778","last_updated":"2026-05-26T05:17:07Z","snapshot_observed_at":"2026-08-06T10:24:13.410946Z","submitted_at":"2025-11-25T19:16:21Z","title":"Exact WKB in all sectors II: Potentials with non-degenerate saddles","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T20:15:06.698801Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2511.20778"},"observation_digest":"sha256:05967da3c1b9e9a630f3fb6f75a8111f256de138775b2fe83f0e58855f4c3d26","observation_id":"d5e1dad2-229c-48db-975d-50cb97e8fde9","resolution":{"observed_at":"2026-08-03T20:15:06.698801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-08-03T11:05:16.728803Z","title":"Behtash, G.V","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2601.07927","last_updated":"2026-07-19T16:39:34Z","snapshot_observed_at":"2026-08-05T05:21:48.354220Z","submitted_at":"2026-01-12T19:00:39Z","title":"Pure D-brane Black Holes: BPS Counting and non-BPS Vacua","version":4},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-03T11:05:16.728803Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2601.07927"},"observation_digest":"sha256:d5fda710cbbb818724a374929215ed8ec38685e62b67694640c9bf7c27d5370d","observation_id":"1d092275-406b-4e1c-a315-c862476088b3","resolution":{"observed_at":"2026-08-03T11:05:16.728803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-08-03T08:40:15.513773Z","title":"Behtash, G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2601.16963","last_updated":"2026-05-25T13:10:36Z","snapshot_observed_at":"2026-08-03T08:40:10.321830Z","submitted_at":"2026-01-23T18:33:00Z","title":"Constrained Symplectic Quantization I: the Quantum Harmonic Oscillator","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T08:40:15.513773Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2601.16963"},"observation_digest":"sha256:caed291336c61eef5795b28df14466990230f388d117cb174061e3c57bbede18","observation_id":"f26511aa-76b6-4c18-9177-c246baa090b7","resolution":{"observed_at":"2026-08-03T08:40:15.513773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":"1510.03435","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-07-02T10:16:52.440678Z","title":"Behtash, G","venue":"hep-th","work_id":"6acf6a5c-6d85-40b8-aa85-aa54a1622bbe","year":2015},"citing_paper":{"arxiv_id":"2604.05878","last_updated":"2026-05-12T04:48:34Z","snapshot_observed_at":"2026-07-06T22:54:30.567988Z","submitted_at":"2026-04-07T13:39:17Z","title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-10T19:31:50.995501Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2604.05878"},"observation_digest":"sha256:03a5439b32fdb701ad6ac9427f4cad58d2501add5354b073067854fbc7d8406f","observation_id":"c5ff6353-332e-44aa-8c82-993aaf4e061d","resolution":{"observed_at":"2026-05-10T22:50:50.490770Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":"1510.03435","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-07-02T10:16:52.440678Z","title":"Behtash, G","venue":"hep-th","work_id":"6acf6a5c-6d85-40b8-aa85-aa54a1622bbe","year":2015},"citing_paper":{"arxiv_id":"2604.05878","last_updated":"2026-05-12T04:48:34Z","snapshot_observed_at":"2026-07-06T22:54:30.567988Z","submitted_at":"2026-04-07T13:39:17Z","title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-13T07:52:12.455546Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2604.05878"},"observation_digest":"sha256:f3f009920cb05ab77e628a9eeb1cd44f101ddf2dc3ed3e2526aa51e5695fb03c","observation_id":"f830c469-636d-4d9f-88fc-35d810a7d208","resolution":{"observed_at":"2026-05-13T07:52:31.669274Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":"1510.03435","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-07-02T10:16:52.440678Z","title":"Behtash, G","venue":"hep-th","work_id":"6acf6a5c-6d85-40b8-aa85-aa54a1622bbe","year":2015},"citing_paper":{"arxiv_id":"2605.26892","last_updated":"2026-05-26T11:53:28Z","snapshot_observed_at":"2026-08-03T04:51:16.076599Z","submitted_at":"2026-05-26T11:53:28Z","title":"Constrained Symplectic Quantization II: The Free Scalar Field","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T16:03:38.331293Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2605.26892"},"observation_digest":"sha256:6a367de1d1d0647c4bdba0f3d3da147b326d4f9b6d6f7a686524a5b8d910749d","observation_id":"2fc7d966-e8eb-4810-b9c3-44665b6415f1","resolution":{"observed_at":"2026-06-29T16:13:36.186310Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":"1510.03435","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-07-02T10:16:52.440678Z","title":"Behtash, G","venue":"hep-th","work_id":"6acf6a5c-6d85-40b8-aa85-aa54a1622bbe","year":2015},"citing_paper":{"arxiv_id":"2605.28686","last_updated":"2026-05-27T16:16:05Z","snapshot_observed_at":"2026-07-06T23:38:14.056361Z","submitted_at":"2026-05-27T16:16:05Z","title":"Constrained Symplectic Quantization: Disclosing the Deterministic Framework Behind Quantum Field Theory","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T09:17:42.074018Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2605.28686"},"observation_digest":"sha256:67f8201a10bf217a494f99235e434d7381da2f501b28ed51e506f406dfc0b9ab","observation_id":"af403050-933c-49af-8153-b038d184a9b3","resolution":{"observed_at":"2026-06-29T09:23:16.565503Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence","version":1},"cited_work":{"arxiv_id":"1510.03435","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.03435","snapshot_observed_at":"2026-07-02T10:16:52.440678Z","title":"Behtash, G","venue":"hep-th","work_id":"6acf6a5c-6d85-40b8-aa85-aa54a1622bbe","year":2015},"citing_paper":{"arxiv_id":"2606.05282","last_updated":"2026-06-03T18:00:01Z","snapshot_observed_at":"2026-08-05T21:54:32.644843Z","submitted_at":"2026-06-03T18:00:01Z","title":"The Double Well Done Doubly-Well","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-06-28T05:08:40.227877Z"},"links":{"cited_paper":"/paper/1510.03435","citing_paper":"/paper/2606.05282"},"observation_digest":"sha256:81b606c6959896da62625635e78d2f60278a3f5178e53d339065c4a673ff5ef6","observation_id":"b65aa0af-a8a5-4781-98c0-6afac36025b0","resolution":{"observed_at":"2026-07-02T10:16:52.442013Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1510.03435/citation-record","integrity":"/paper/1510.03435/integrity","json":"/paper/1510.03435/citation-record.json","paper":"/paper/1510.03435"},"outbound":[],"paper":{"arxiv_id":"1510.03435","last_updated":"2015-10-12T20:12:54Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-07T03:34:51.813512Z","submitted_at":"2015-10-12T20:12:54Z","title":"Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence"},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1510.03435."}