{"as_of":"2026-08-15T16:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d58fe0ee90c4dd6af4982f4f9c0405a0727f929a5d4d83ff6b1c6b19d1ca099","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:50:08.491852Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.04532/citation-record","integrity":"/paper/1908.04532/integrity","json":"/paper/1908.04532/citation-record.json","paper":"/paper/1908.04532"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.734594Z","title":"Mathematical formulation of the quantum theory of electro- magnetic interaction","venue":null,"work_id":"6ee512ac-d7d3-4959-bbf0-a443b03f3adf","year":1950},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.272077Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:60abfb77b7c1785ae5f981338bb6a6a1e8daf1a453153ac4f48907e96f3bb67f","observation_id":"374f5dd4-7b70-4581-a956-f03498a03656","resolution":{"observed_at":"2026-08-14T13:50:09.738167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.724266Z","title":"Slow Electrons in a Polar Crystal","venue":null,"work_id":"b02ccf64-4a78-4486-9759-e8259a61f850","year":1955},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.276566Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:b0f7ed6456522e03a84a1ad4e9e0f8514102f10b735897b2972ea328c1c943b8","observation_id":"bce438eb-2935-45ba-b387-1792b1196ac4","resolution":{"observed_at":"2026-08-14T13:50:09.727970Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.711753Z","title":"The Particle Limit of Field Theory: A New Strong Coupling Expansion","venue":null,"work_id":"e48304f5-a18d-44e3-a32d-eb6d355a1157","year":1977},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.280347Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:4bb5f3ee2d4c2abda1e56a5bd3c5420e9aaa45f42f46fa2d999fc0927bbab744","observation_id":"6dc3b02a-802e-4b0b-9743-0e2d4a765a2b","resolution":{"observed_at":"2026-08-14T13:50:09.716315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.700394Z","title":"Gauge Fields and Strings","venue":null,"work_id":"d4eef8bd-44b7-41d6-8630-b027214dfd02","year":1987},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.284481Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:fce17b56fdbb21fc39c6d3df0a403f9b28fad6a82cdbda1dcb5afa27da9d03f0","observation_id":"1a566c42-007c-4465-8221-afd2eaea07e8","resolution":{"observed_at":"2026-08-14T13:50:09.704744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.688137Z","title":"A New Approach to One Loop Calculations in Gauge Theories","venue":null,"work_id":"81c7d783-c4f5-4987-a4c7-dbaef2047075","year":1988},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.288437Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:6b77c5cd460cd25bf238a4dae15c09e67edbb5147c3890ec1c26c033cb8469e1","observation_id":"89a142ca-3fde-4997-83ad-717da2c30cf4","resolution":{"observed_at":"2026-08-14T13:50:09.692146Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.675980Z","title":"Field theory without Feynman diagrams: One loop eﬀective actions","venue":null,"work_id":"d8715b79-bd26-4aaf-86ee-63385ac967ea","year":1992},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.292027Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:f4540ad76ad097649d63a1ad5f5dd0a4cb57df230e5b2e05cb05590ccba75794","observation_id":"313a469b-dc02-44a3-b0bc-3ad55dceebcb","resolution":{"observed_at":"2026-08-14T13:50:09.679593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9309055","last_updated":"1993-09-09T21:25:47Z","snapshot_observed_at":"2026-08-15T02:29:38.807341Z","submitted_at":"1993-09-09T21:25:47Z","title":"On the Calculation of Effective Actions by String Methods","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9309055","snapshot_observed_at":"2026-08-14T13:50:08.297122Z","title":"On the calculation of eﬀective actions by string methods","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.297122Z"},"links":{"cited_paper":"/paper/hep-th/9309055","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:5c086b345bd50133f1458aff151b69621c340514e4830438314ce3b1d06b6c7d","observation_id":"9d06fe9d-38a2-43b8-9087-e5384c393354","resolution":{"observed_at":"2026-08-14T13:50:08.297122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/0001171","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.521943Z","title":"Vacuum polarization in QED with world- line methods","venue":null,"work_id":"75427868-32a5-4f11-a866-54a00a71a21c","year":2000},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.301282Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:e74d24c8a56b52ea8cb292de2a9434c7b06976dddb36d19e055b242b82d5f4cd","observation_id":"efd78785-44db-4d1d-b080-0036c4a424b5","resolution":{"observed_at":"2026-08-14T13:50:09.527229Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.664688Z","title":"Perturbative quantum ﬁeld theory in the string inspired formalism","venue":null,"work_id":"6e7bc587-bb48-4b58-8d43-17ce71e6aae3","year":2001},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.305375Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:fd83f7a0f034c8f01ad3e573908c85f611dfb78d4b39d81543db9259968ffe94","observation_id":"88cec5bf-3387-4901-9059-551ab371a4ee","resolution":{"observed_at":"2026-08-14T13:50:09.668053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.650877Z","title":"Pair Production at Strong Coupling in Weak External Fields","venue":null,"work_id":"1ca80fa9-1cd7-40c0-a1d8-8897f4b75781","year":1982},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.309034Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:34017222b437444fa08758b6fd7c0a5859247350b00ea62dd1764952136fd359","observation_id":"14c5970f-58be-46b3-a62c-8032953c6150","resolution":{"observed_at":"2026-08-14T13:50:09.655776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"nucl-th/9709052","last_updated":"1997-09-25T02:34:51Z","snapshot_observed_at":"2026-07-07T06:40:14.872172Z","submitted_at":"1997-09-25T02:34:51Z","title":"Variational treatment of quenched QED using the worldline technique","version":1},"cited_work":{"arxiv_id":"nucl-th/9709052","doi":null,"metadata_source":"pith","pith_arxiv_id":"nucl-th/9709052","snapshot_observed_at":"2026-08-14T13:50:09.458833Z","title":"Variational treatment of quenched QED using the worldline technique","venue":"nucl-th","work_id":"5c613bbb-aa11-4758-b9cf-9f505d65108a","year":1997},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.313045Z"},"links":{"cited_paper":"/paper/nucl-th/9709052","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:10c38e3f4ce8136e5a28eefcf2101c1428927c547ae18df629157fef449d5151","observation_id":"5bda475c-1c85-4be5-9e05-e8a36d2b11af","resolution":{"observed_at":"2026-08-14T13:50:09.462832Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9703378","last_updated":"1997-06-06T16:56:57Z","snapshot_observed_at":"2026-08-07T20:55:45.913283Z","submitted_at":"1997-03-20T18:20:37Z","title":"From the Feynman-Schwinger representation to the non-perturbative relativistic bound state interaction","version":2},"cited_work":{"arxiv_id":"hep-ph/9703378","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9703378","snapshot_observed_at":"2026-08-14T13:50:09.441541Z","title":"From the Feynman-Schwinger representation to the non-perturbative relativistic bound state interaction","venue":"hep-ph","work_id":"0d05ee93-8cfe-41b8-a223-72427fb5d999","year":1997},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.316939Z"},"links":{"cited_paper":"/paper/hep-ph/9703378","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:b4ced0bc535e7c17ff7b792bf154cb52438dea2cba41b54a62fd3f15a8a3839a","observation_id":"f793b4ed-b950-4c0f-bd57-c51f7bb22f7a","resolution":{"observed_at":"2026-08-14T13:50:09.446205Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9906211","last_updated":"1999-09-01T19:44:48Z","snapshot_observed_at":"2026-08-14T18:36:25.448262Z","submitted_at":"1999-06-02T03:32:17Z","title":"Feynman-Schwinger representation approach to nonperturbative physics","version":2},"cited_work":{"arxiv_id":"hep-ph/9906211","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9906211","snapshot_observed_at":"2026-08-14T13:50:09.426052Z","title":"Feynman-Schwinger representation approach to nonperturbative physics","venue":"hep-ph","work_id":"adc3a870-3396-4dfa-b380-2a7c0aed5ce8","year":1999},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.321339Z"},"links":{"cited_paper":"/paper/hep-ph/9906211","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:a06483eaa54ae620ceafbd538416ea68f401e83a440187d9b0d1eb03b1b3c82c","observation_id":"208f2b48-2f49-41a2-8b68-faf17c5bba46","resolution":{"observed_at":"2026-08-14T13:50:09.430312Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0201065","last_updated":"2002-01-20T23:49:43Z","snapshot_observed_at":"2026-07-07T04:42:14.835378Z","submitted_at":"2002-01-10T12:25:00Z","title":"Non-perturbative quenched propagator beyond the infrared approximation","version":2},"cited_work":{"arxiv_id":"hep-th/0201065","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0201065","snapshot_observed_at":"2026-08-14T13:50:09.409803Z","title":"Non-perturbative quenched propagator beyond the infrared approximation","venue":"hep-th","work_id":"707b30dc-4b15-4b79-84d7-c22eb475903d","year":2002},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.325298Z"},"links":{"cited_paper":"/paper/hep-th/0201065","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:da3daf1393d5cd1291a9d4159be374bf0597bd28fde41eae429eaaa7cb450f74","observation_id":"b91df663-6e5b-49eb-8cd2-38aa2e1cf03b","resolution":{"observed_at":"2026-08-14T13:50:09.414421Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"th/0404068","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.389062Z","title":"Nonperturbative dynamics of scalar ﬁeld theories through the Feynman-Schwinger representation","venue":null,"work_id":"330d9832-5a5e-4042-90e3-49b28cb80365","year":2005},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.328665Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:28a013991cd584de95d949b50ea01a06b8331ce8963d0e5af2579415b92b1cd9","observation_id":"0588a578-0ba5-429c-85b8-d53c59333e61","resolution":{"observed_at":"2026-08-14T13:50:09.396350Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0403304","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.313204Z","title":"Worldline variational approximation: A New approach to the relativistic binding problem","venue":null,"work_id":"baae4333-cca0-4b20-b0a8-18878eced6d0","year":2005},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.331731Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:bb0a895a0f4207baf9b775a9d75c29749a83d5cc5fd22bf17553e6a979d987ba","observation_id":"d6c22102-5643-4274-99ba-8d1c55820be4","resolution":{"observed_at":"2026-08-14T13:50:09.319159Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0404068","last_updated":"2004-04-08T15:51:09Z","snapshot_observed_at":"2026-07-07T04:50:13.827377Z","submitted_at":"2004-04-08T15:51:09Z","title":"Chirality and parity in a first-quantized representation","version":1},"cited_work":{"arxiv_id":"hep-th/0404068","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0404068","snapshot_observed_at":"2026-08-14T13:50:09.169114Z","title":"Chirality and parity in a first-quantized representation","venue":"hep-th","work_id":"ce787b0e-eaa8-4bb8-b87a-39da7bfbdf05","year":2004},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.334729Z"},"links":{"cited_paper":"/paper/hep-th/0404068","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:beab11423b31782c05867b24b953a89866b2ff2b4e8497608b06741ee5cb94b7","observation_id":"661344aa-620b-4021-b677-3614969ee2c4","resolution":{"observed_at":"2026-08-14T13:50:09.173311Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0505275","last_updated":"2005-05-31T16:57:49Z","snapshot_observed_at":"2026-08-10T23:19:37.747859Z","submitted_at":"2005-05-31T16:57:49Z","title":"Quantum effective actions from nonperturbative worldline dynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0505275","snapshot_observed_at":"2026-08-14T13:50:08.338273Z","title":"Quantum eﬀective actions from nonperturbative worldline dynamics","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.338273Z"},"links":{"cited_paper":"/paper/hep-th/0505275","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:f93599a9f568464deaccb1ff1a4dc2324c1e1b47c3d2c36a26f090818163b3f8","observation_id":"6bf903be-e1b7-4219-bdaa-bfe54c108020","resolution":{"observed_at":"2026-08-14T13:50:08.338273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0511026","last_updated":"2005-11-02T19:07:00Z","snapshot_observed_at":"2026-08-13T07:02:14.277039Z","submitted_at":"2005-11-02T19:07:00Z","title":"New tests and applications of the worldline path integral in the first order formalism","version":1},"cited_work":{"arxiv_id":"hep-th/0511026","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0511026","snapshot_observed_at":"2026-08-14T13:50:09.139765Z","title":"New tests and applications of the worldline path integral in the first order formalism","venue":"hep-th","work_id":"7aa08fe7-3eb7-4647-858a-7d72c4d9d3f4","year":2005},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.342199Z"},"links":{"cited_paper":"/paper/hep-th/0511026","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:244f18c1f0f103330406a06b55698c2fe95e9f7b7fed97ba31d05556a783bb0d","observation_id":"b1dad075-9ea9-4529-89c0-81fe032a681e","resolution":{"observed_at":"2026-08-14T13:50:09.144435Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0604089","last_updated":"2006-04-11T00:44:28Z","snapshot_observed_at":"2026-07-07T04:10:37.781668Z","submitted_at":"2006-04-11T00:44:28Z","title":"Pair creation in inhomogeneous fields from worldline instantons","version":1},"cited_work":{"arxiv_id":"hep-ph/0604089","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0604089","snapshot_observed_at":"2026-08-14T13:50:09.123232Z","title":"Pair creation in inhomogeneous fields from worldline instantons","venue":"hep-ph","work_id":"f28600c5-05fb-4f13-bba7-d3800554ed86","year":2006},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.345552Z"},"links":{"cited_paper":"/paper/hep-ph/0604089","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:83c8eabee86bf37453d16c409e769ecc2d341925110b304d8c000342a684b40d","observation_id":"a15a9694-24a2-4799-95d0-c2d197eee7dd","resolution":{"observed_at":"2026-08-14T13:50:09.127071Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0601220","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.107258Z","title":"Variational worldline approximation for the relativistic two-body bound state in a scalar model","venue":null,"work_id":"d8d41b63-ea3a-4b66-9581-e9cfdc3e1e69","year":2006},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.348870Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:4995e2ead4b31a3fb67be3fe9ec1aedb792431bbbb03bb71e08217fae753545b","observation_id":"b071c5e2-3e83-4774-bd64-7be16487586e","resolution":{"observed_at":"2026-08-14T13:50:09.112714Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1405.7770","last_updated":"2014-05-30T04:30:47Z","snapshot_observed_at":"2026-08-14T23:32:10.204788Z","submitted_at":"2014-05-30T04:30:47Z","title":"Integral representations combining ladders and crossed-ladders","version":1},"cited_work":{"arxiv_id":"1405.7770","doi":null,"metadata_source":"pith","pith_arxiv_id":"1405.7770","snapshot_observed_at":"2026-08-14T13:50:09.012846Z","title":"Integral representations combining ladders and crossed-ladders","venue":"hep-ph","work_id":"d26b3049-01af-4ca5-b5fb-25c03e701928","year":2014},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.352203Z"},"links":{"cited_paper":"/paper/1405.7770","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:5a14e7bd31dd390abb2e281e3c1094e9dd12a0005be79c86c02dc9cccd5658e9","observation_id":"c1831306-e589-4587-95de-18f581c8021e","resolution":{"observed_at":"2026-08-14T13:50:09.016981Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.05333","last_updated":"2015-04-10T07:09:26Z","snapshot_observed_at":"2026-08-14T22:55:52.486960Z","submitted_at":"2015-03-18T10:34:51Z","title":"Lattice worldline representation of correlators in a background field","version":2},"cited_work":{"arxiv_id":"1503.05333","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.05333","snapshot_observed_at":"2026-08-14T13:50:08.996822Z","title":"Lattice worldline representation of correlators in a background field","venue":"hep-ph","work_id":"21f6c680-89cf-4a7a-9ed9-2ba58ac80f8f","year":2015},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.355782Z"},"links":{"cited_paper":"/paper/1503.05333","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:a8536820b8fc5a0066bfb600fe55eaaf8f2ed099531cae86fab4181135634b7d","observation_id":"eef81bb4-bab6-406d-844d-3fe892bd6106","resolution":{"observed_at":"2026-08-14T13:50:09.001160Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.04350","last_updated":"2015-12-04T18:59:44Z","snapshot_observed_at":"2026-08-14T22:40:17.179865Z","submitted_at":"2015-07-15T20:00:36Z","title":"All-orders worldline holography and higher spins","version":2},"cited_work":{"arxiv_id":"1507.04350","doi":null,"metadata_source":"pith","pith_arxiv_id":"1507.04350","snapshot_observed_at":"2026-08-14T13:50:08.980682Z","title":"All-orders worldline holography and higher spins","venue":"hep-ph","work_id":"018c2950-6178-4a22-bed3-2ae32a8c3c69","year":2015},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.359090Z"},"links":{"cited_paper":"/paper/1507.04350","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:0b309bd65daa0f1bc6c3b777e0b826c2c6580fe67bfe07b476a3ffc723a7c986","observation_id":"40c6190d-0db5-40e6-b48f-828a0ed08305","resolution":{"observed_at":"2026-08-14T13:50:08.984681Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.05144","last_updated":"2015-12-21T10:12:43Z","snapshot_observed_at":"2026-08-14T22:35:46.452629Z","submitted_at":"2015-08-20T22:52:50Z","title":"Dressed scalar propagator in a non-abelian background from the worldline formalism","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.05144","snapshot_observed_at":"2026-08-14T13:50:08.362915Z","title":"Dressed scalar propagator in a non-Abelian background from the worldline formalism","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.362915Z"},"links":{"cited_paper":"/paper/1508.05144","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:540f2823d9de6599e9d7668dde341dfabb4d33ddbbf4296251f7475d31ef83e8","observation_id":"1a3c7b92-13e6-4414-836a-d44584b570cf","resolution":{"observed_at":"2026-08-14T13:50:08.362915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.04801","last_updated":"2017-08-24T09:01:11Z","snapshot_observed_at":"2026-08-14T21:06:31.850823Z","submitted_at":"2017-04-16T18:03:01Z","title":"Thermal Schwinger pair production at arbitrary coupling","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.04801","snapshot_observed_at":"2026-08-14T13:50:08.367043Z","title":"Thermal Schwinger pair production at arbitrary coupling","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.367043Z"},"links":{"cited_paper":"/paper/1704.04801","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:60ce4b4f89f1928f4d850b23495e80d8943ffe695c3d20e0f064aa4e0aace7cf","observation_id":"13676610-5ec6-4c2c-a348-bbdb014572d2","resolution":{"observed_at":"2026-08-14T13:50:08.367043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.02665","last_updated":"2018-10-09T08:51:01Z","snapshot_observed_at":"2026-08-14T19:06:28.169292Z","submitted_at":"2018-06-07T13:25:03Z","title":"Worldline sphaleron for thermal Schwinger pair production","version":2},"cited_work":{"arxiv_id":"1806.02665","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.02665","snapshot_observed_at":"2026-08-14T13:50:08.942502Z","title":"Worldline sphaleron for thermal Schwinger pair production","venue":"hep-th","work_id":"7efafc02-f56b-4591-855a-cd8c332dc579","year":2018},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.370547Z"},"links":{"cited_paper":"/paper/1806.02665","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:6d8e5dad83f9ed1cccda845e7b19b76e8739e9631f3e1c51f1a4e0528badb902","observation_id":"bb8cdc56-53d9-4d51-8a6b-958989a005c7","resolution":{"observed_at":"2026-08-14T13:50:08.946766Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.638163Z","title":"FEYN CALC: Computer algebraic calculation of Feynman amplitudes","venue":null,"work_id":"b39e4fe2-1320-4749-b78d-8cbcaacd1543","year":1991},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.374585Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:14bbeaa2f2288f9aa34fd531e0f7dcf67f3473e60e0f5a7cc114cc2e95c98e57","observation_id":"b37d12c2-aeb2-43e6-98e2-575a9bf71143","resolution":{"observed_at":"2026-08-14T13:50:09.642824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.08380","last_updated":"2018-12-20T06:41:03Z","snapshot_observed_at":"2026-08-14T17:40:46.595947Z","submitted_at":"2018-12-20T06:41:03Z","title":"Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.08380","snapshot_observed_at":"2026-08-14T13:50:08.377820Z","title":"Three- loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.377820Z"},"links":{"cited_paper":"/paper/1812.08380","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:0f314f4d9e87df87d2ecd4c1b4945340505af22df75ec241077a020324cbc59e","observation_id":"d22bd8c9-5127-4e5a-98ff-ece67c363082","resolution":{"observed_at":"2026-08-14T13:50:08.377820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.5315","last_updated":"2010-12-13T03:29:25Z","snapshot_observed_at":"2026-08-15T06:06:42.078601Z","submitted_at":"2010-10-26T04:53:13Z","title":"Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1010.5315","snapshot_observed_at":"2026-08-14T13:50:08.381776Z","title":"Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.381776Z"},"links":{"cited_paper":"/paper/1010.5315","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:ad34b0ed838815bd4c0b96086647aaf3fb278cebdd624dc3b77baf7735fed5f6","observation_id":"ea63c612-cb0b-4901-ae21-d46e2fe71160","resolution":{"observed_at":"2026-08-14T13:50:08.381776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1112.1049","last_updated":"2011-12-05T20:34:36Z","snapshot_observed_at":"2026-08-15T04:26:46.066298Z","submitted_at":"2011-12-05T20:34:36Z","title":"The Euler-Heisenberg Lagrangian beyond one loop","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1112.1049","snapshot_observed_at":"2026-08-14T13:50:08.385497Z","title":"The Euler-Heisenberg Lagrangian Beyond One Loop","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.385497Z"},"links":{"cited_paper":"/paper/1112.1049","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:dbda38dc0d324aef9f7d3fe356887676431eca0ace05711c8202c03cf027b257","observation_id":"57c9481a-02c7-4505-9b34-920f41f4cb11","resolution":{"observed_at":"2026-08-14T13:50:08.385497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.626688Z","title":"Multiloop Euler–Heisenberg Lagrangians, Schwinger Pair Creation, and the Photon S-Matrix","venue":null,"work_id":"87bc9f83-ab3b-42b6-9f01-6a3e944d2256","year":2017},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.389207Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:b1145a3413bc53bd7a5f6bb667353ac21306d693a46f71d85612011d7ea17d26","observation_id":"cfbd11c9-331b-4f76-9d45-8dcdf5e783e8","resolution":{"observed_at":"2026-08-14T13:50:09.630509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.615236Z","title":"Mul- tiloop Euler-Heisenberg Lagrangians, Schwinger pair creation, and the QED N - photon amplitudes","venue":null,"work_id":"02285e9f-d9ac-4ef9-b4ac-d5691052943a","year":2018},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.393075Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:0ce1850a435f1e3e2e035948e2d1167c1becd0f65ed6f6183ecb17afd722cce7","observation_id":"29fe459a-ff94-47ee-866a-445aa0caaa49","resolution":{"observed_at":"2026-08-14T13:50:09.618824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0602176","last_updated":"2006-03-30T21:00:13Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-02-17T22:34:07Z","title":"Worldline Instantons II: The Fluctuation Prefactor","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0602176","snapshot_observed_at":"2026-08-14T13:50:08.397269Z","title":"Worldline instantons. II. The Fluctuation prefactor","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.397269Z"},"links":{"cited_paper":"/paper/hep-th/0602176","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:91ff0632a1d1b4d01502945ec1522aa6f0e9109545295e15d2021e406dca79a2","observation_id":"8b82144f-8a45-4161-9ef4-615010c8cb2b","resolution":{"observed_at":"2026-08-14T13:50:08.397269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0754","last_updated":"2008-07-07T08:47:58Z","snapshot_observed_at":"2026-08-15T10:11:47.367576Z","submitted_at":"2008-07-07T08:47:58Z","title":"Dynamically assisted Schwinger mechanism","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0754","snapshot_observed_at":"2026-08-14T13:50:08.401503Z","title":"Dynamically assisted Schwinger mechanism","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.401503Z"},"links":{"cited_paper":"/paper/0807.0754","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:7b56b0c89644ca6717d263e82a3bbf4feea3139fea3048e66906c284f9006f1a","observation_id":"07e173c1-a080-47e0-967f-d91a2fd88088","resolution":{"observed_at":"2026-08-14T13:50:08.401503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.1513","last_updated":"2016-07-01T07:52:49Z","snapshot_observed_at":"2026-08-14T23:31:22.924281Z","submitted_at":"2014-06-05T20:28:19Z","title":"Localisation in worldline pair production and lightfront zero-modes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.1513","snapshot_observed_at":"2026-08-14T13:50:08.405632Z","title":"Localisation in worldline pair production and lightfront zero- modes","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.405632Z"},"links":{"cited_paper":"/paper/1406.1513","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:6bcd907d175903e1e0f85c344b12c4ffa50e5997417dc11749fe48b02efa8ba8","observation_id":"5893b889-ce77-413d-98c5-2af3d0f9d399","resolution":{"observed_at":"2026-08-14T13:50:08.405632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.08828","last_updated":"2015-07-08T09:11:04Z","snapshot_observed_at":"2026-08-14T22:54:19.165916Z","submitted_at":"2015-03-30T20:00:24Z","title":"Pair production from residues of complex worldline instantons","version":2},"cited_work":{"arxiv_id":"1503.08828","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.08828","snapshot_observed_at":"2026-08-14T13:50:08.857598Z","title":"Pair production from residues of complex worldline instantons","venue":"hep-th","work_id":"2ec6829b-e511-4274-a551-77631da9334a","year":2015},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.409016Z"},"links":{"cited_paper":"/paper/1503.08828","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:4c5dbb23df4d244d7fa46377c27b09a8ca5750de0a2570e8a570b5677f33bd4c","observation_id":"49c62211-8d3c-4c94-9a79-c5f8b705d749","resolution":{"observed_at":"2026-08-14T13:50:08.861605Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.603372Z","title":"Doubly assisted Sauter-Schwinger eﬀect","venue":null,"work_id":"202b90d5-f19f-4a58-9102-71d8359d9ff6","year":2016},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.412583Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:b7b980a39b86948d680c09193795d836c0157f2bd577cc213059d03d024ba6bc","observation_id":"a602cd29-5873-4749-a156-1a0aafde56fb","resolution":{"observed_at":"2026-08-14T13:50:09.607370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.09203","last_updated":"2017-06-14T12:44:26Z","snapshot_observed_at":"2026-08-14T21:09:48.073882Z","submitted_at":"2017-03-27T17:45:13Z","title":"Dynamically assisted Sauter-Schwinger effect - non-perturbative versus perturbative aspects","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.09203","snapshot_observed_at":"2026-08-14T13:50:08.416245Z","title":"Dynamically assisted Sauter-Schwinger eﬀect — non-perturbative versus perturbative aspects","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.416245Z"},"links":{"cited_paper":"/paper/1703.09203","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:af010538765323647a7fe50ae7f37d97543d286159bd6378051178be7f013358","observation_id":"223ba84c-89d2-40ca-8041-afee8fef42c8","resolution":{"observed_at":"2026-08-14T13:50:08.416245Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.06447","last_updated":"2018-10-18T10:36:46Z","snapshot_observed_at":"2026-08-14T20:52:50.799101Z","submitted_at":"2017-06-20T14:06:03Z","title":"Euclidean mirrors: enhanced vacuum decay from reflected instantons","version":2},"cited_work":{"arxiv_id":"1706.06447","doi":null,"metadata_source":"pith","pith_arxiv_id":"1706.06447","snapshot_observed_at":"2026-08-14T13:50:08.830757Z","title":"Euclidean mirrors: enhanced vacuum decay from reflected instantons","venue":"hep-th","work_id":"02fad7d3-fe85-4372-afb7-317d635c43e7","year":2017},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.419753Z"},"links":{"cited_paper":"/paper/1706.06447","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:041e6245afae830b772e0857b1bbab9b9d6699e1953e810c8394e9dfde50306b","observation_id":"4d710509-ae74-47ec-ad34-18d4804a022b","resolution":{"observed_at":"2026-08-14T13:50:08.834917Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.590842Z","title":"The self-energy of the scalar nucleon","venue":null,"work_id":"8070b069-9c23-4370-be2c-58c49d76fd42","year":1955},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.424021Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:ca8aa5b855145a0b600f58024433ce8c80b57acf6b91337c9dab28ac5fac70e2","observation_id":"ca1f9f9d-8b6d-442a-ac4e-039b9c13ed0b","resolution":{"observed_at":"2026-08-14T13:50:09.594862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.580315Z","title":"Stochastic solution to highly nonlocal actions: The Polaron problem","venue":null,"work_id":"1cd331b9-6513-44d4-9832-22478b8251d3","year":1992},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.428159Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:620e2d594f96c65064c4da621814611c4df6e84838e33cfbcc75291bda78df56","observation_id":"c53626a4-6fe8-4e3a-815a-3ff168b72512","resolution":{"observed_at":"2026-08-14T13:50:09.583767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"nucl-th/9504002","last_updated":"1995-04-05T21:05:04Z","snapshot_observed_at":"2026-08-10T23:22:50.154700Z","submitted_at":"1995-04-05T21:05:04Z","title":"Polaron Variational Methods In The Particle Representation Of Field Theory : I. General Formalism","version":1},"cited_work":{"arxiv_id":"nucl-th/9504002","doi":null,"metadata_source":"pith","pith_arxiv_id":"nucl-th/9504002","snapshot_observed_at":"2026-08-14T13:50:08.812544Z","title":"Polaron Variational Methods In The Particle Representation Of Field Theory : I. General Formalism","venue":"nucl-th","work_id":"db01f598-8b90-49d3-948a-a170e95fc4c4","year":1995},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.431193Z"},"links":{"cited_paper":"/paper/nucl-th/9504002","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:f9cf1f11a85eb528e7adc17881a3faff97436b79e010b9a33efbd0a4823811c0","observation_id":"579d7072-e0b0-4830-8772-f1a775f7c2c5","resolution":{"observed_at":"2026-08-14T13:50:08.817274Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"nucl-th/9504005","last_updated":"1995-04-06T19:20:46Z","snapshot_observed_at":"2026-08-02T22:59:06.474099Z","submitted_at":"1995-04-06T19:20:46Z","title":"Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator","version":1},"cited_work":{"arxiv_id":"nucl-th/9504005","doi":null,"metadata_source":"pith","pith_arxiv_id":"nucl-th/9504005","snapshot_observed_at":"2026-08-14T13:50:08.792630Z","title":"Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator","venue":"nucl-th","work_id":"bb669c4e-0615-4595-9d7a-e1159758dfb7","year":1995},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.435091Z"},"links":{"cited_paper":"/paper/nucl-th/9504005","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:9726f071717ade243a49a390dfb8d4f47f05eeff181b482da8630cad8421348b","observation_id":"4faadd51-a66a-4316-95f1-50a10e8c9bbb","resolution":{"observed_at":"2026-08-14T13:50:08.797594Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.04258","last_updated":"2019-05-17T12:16:29Z","snapshot_observed_at":"2026-08-14T16:34:10.670859Z","submitted_at":"2019-05-10T16:59:57Z","title":"UV Completion on the Worldline","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.04258","snapshot_observed_at":"2026-08-14T13:50:08.438791Z","title":"UV Completion on the Worldline","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.438791Z"},"links":{"cited_paper":"/paper/1905.04258","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:f92af311f46edabafd72f7a3deb01834540603b96c1fd4b5f49f6d88a010e0cb","observation_id":"bbd910a7-896b-41c0-a938-fc37447e8b33","resolution":{"observed_at":"2026-08-14T13:50:08.438791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0102185","last_updated":"2001-08-02T07:10:31Z","snapshot_observed_at":"2026-08-15T13:34:30.506858Z","submitted_at":"2001-02-15T10:44:53Z","title":"Quantum diffusion of magnetic fields in a numerical worldline approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0102185","snapshot_observed_at":"2026-08-14T13:50:08.442874Z","title":"Quantum diﬀusion of magnetic ﬁelds in a numerical worldline approach","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.442874Z"},"links":{"cited_paper":"/paper/hep-ph/0102185","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:e4e83571ff2038c996369911925137dd2c601ceb0248372cdc288823fa2e5375","observation_id":"f3351033-7201-4266-98fb-1f934adb4a18","resolution":{"observed_at":"2026-08-14T13:50:08.442874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0112198","last_updated":"2001-12-14T11:02:51Z","snapshot_observed_at":"2026-08-13T10:27:36.040097Z","submitted_at":"2001-12-14T11:02:51Z","title":"Loops and loop clouds - a numerical approach to the worldline formalism in QED -","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0112198","snapshot_observed_at":"2026-08-14T13:50:08.446289Z","title":"Loops and loop clouds: A Numerical ap- proach to the worldline formalism in QED","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.446289Z"},"links":{"cited_paper":"/paper/hep-ph/0112198","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:082a2e4563fc835023fc98fea540be2467e9c1152ca26b23011cd4044599534b","observation_id":"cd2f4cf9-e39b-433b-98dc-a49254feaf6b","resolution":{"observed_at":"2026-08-14T13:50:08.446289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:09.569566Z","title":"Casimir eﬀect on the worldline","venue":null,"work_id":"82ffd9e1-2cc7-4adf-9840-e7d6dc71970c","year":2003},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.449631Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:d46249d842c7ee1433232640f185d91b5844a21ab3b27c382f1b48112bfcafb6","observation_id":"86b3de04-4e0e-4fa0-bbbf-642bff4794c0","resolution":{"observed_at":"2026-08-14T13:50:09.573699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0511092","last_updated":"2006-03-24T10:45:09Z","snapshot_observed_at":"2026-08-02T17:05:44.896001Z","submitted_at":"2005-11-08T14:47:45Z","title":"Quantum energies with worldline numerics","version":2},"cited_work":{"arxiv_id":"hep-th/0511092","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0511092","snapshot_observed_at":"2026-08-14T13:50:08.748832Z","title":"Quantum energies with worldline numerics","venue":"hep-th","work_id":"f57d89c1-608d-44a8-b27d-1d744153bbb7","year":2005},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.454171Z"},"links":{"cited_paper":"/paper/hep-th/0511092","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:8f61f9af251df0a35dd9dc785268fbbf5394ff7d08585ab77c42ed38dbaa7b0f","observation_id":"18fe96f3-a29a-4a45-8835-49a67b6f43b3","resolution":{"observed_at":"2026-08-14T13:50:08.752456Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0605141","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:50:08.732114Z","title":"Worldline algorithms for Casimir con- ﬁgurations","venue":null,"work_id":"396d515c-0395-405e-9c11-01a7d480c556","year":2006},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.458148Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:58fe24eef258284c1b85d01dfe51182292cdd58e57ff9fe609001eec4f183d6b","observation_id":"492a26a8-29eb-48c9-a831-7b5fd8418ea6","resolution":{"observed_at":"2026-08-14T13:50:08.738059Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.557891Z","title":"Casimir Forces via Worldline Numerics: Method Improve- ments and Potential Engineering Applications","venue":null,"work_id":"580dc06d-25a4-4918-9dbe-dda7810f64a3","year":2011},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.461911Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:7516f78373dce73bfc1bd7367efc9dee40e0bd7631944a8c4368f0a55fb731ca","observation_id":"1413157a-2528-41b6-965b-637587ddf361","resolution":{"observed_at":"2026-08-14T13:50:09.562179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1407.7486","last_updated":"2014-07-28T18:12:01Z","snapshot_observed_at":"2026-08-14T23:25:07.902957Z","submitted_at":"2014-07-28T18:12:01Z","title":"Parallel Worldline Numerics: Implementation and Error Analysis","version":1},"cited_work":{"arxiv_id":"1407.7486","doi":null,"metadata_source":"pith","pith_arxiv_id":"1407.7486","snapshot_observed_at":"2026-08-14T13:50:08.630298Z","title":"Parallel Worldline Numerics: Implementation and Error Analysis","venue":"hep-th","work_id":"25528275-3eeb-4230-9bd7-2d125bb7ebc8","year":2014},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.465098Z"},"links":{"cited_paper":"/paper/1407.7486","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:4129dae12913864829a6efb9fe519541f293f0a31799881a4291c8ce6762e077","observation_id":"33b1720d-ae4d-4f05-9329-e173d38b3131","resolution":{"observed_at":"2026-08-14T13:50:08.634684Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0505099","last_updated":"2005-09-16T13:57:39Z","snapshot_observed_at":"2026-08-11T10:56:19.547608Z","submitted_at":"2005-05-12T09:45:24Z","title":"Pair production in inhomogeneous fields","version":2},"cited_work":{"arxiv_id":"hep-ph/0505099","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0505099","snapshot_observed_at":"2026-08-14T13:50:08.614284Z","title":"Pair production in inhomogeneous fields","venue":"hep-ph","work_id":"32f4e5d6-b9ad-4997-a990-c2993262a951","year":2005},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.468483Z"},"links":{"cited_paper":"/paper/hep-ph/0505099","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:1689912bbfdb587cfcec4956f0484e1d5199ae96f110206a5e5c105ed4226fc8","observation_id":"1651f9e4-8416-4cbc-a98e-fc39f146dbb8","resolution":{"observed_at":"2026-08-14T13:50:08.618458Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.04984","last_updated":"2019-03-01T20:49:51Z","snapshot_observed_at":"2026-08-14T20:33:01.292462Z","submitted_at":"2017-09-14T21:31:01Z","title":"Integral transforms of the quantum mechanical path integral: hit function and path averaged potential","version":2},"cited_work":{"arxiv_id":"1709.04984","doi":null,"metadata_source":"pith","pith_arxiv_id":"1709.04984","snapshot_observed_at":"2026-08-14T13:50:08.597694Z","title":"Integral transforms of the quantum mechanical path integral: hit function and path averaged potential","venue":"quant-ph","work_id":"6387ffa5-6adc-48ff-95cf-0e4d04585e03","year":2017},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.471857Z"},"links":{"cited_paper":"/paper/1709.04984","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:29c4b3254ba6e91cd7d5094ccf90ee8a401f425770cbf9cac7b467fe718201bd","observation_id":"cda46336-4076-4474-b6d0-90dc52093f67","resolution":{"observed_at":"2026-08-14T13:50:08.602131Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.00536","last_updated":"2019-03-01T20:43:51Z","snapshot_observed_at":"2026-08-14T17:08:45.854726Z","submitted_at":"2019-03-01T20:43:51Z","title":"Applications of the worldline Monte Carlo formalism in quantum mechanics","version":1},"cited_work":{"arxiv_id":"1903.00536","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.00536","snapshot_observed_at":"2026-08-14T13:50:08.580686Z","title":"Applications of the worldline Monte Carlo formalism in quantum mechanics","venue":"quant-ph","work_id":"6c372241-34c8-4073-ad0b-822956d1fcde","year":2019},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.475337Z"},"links":{"cited_paper":"/paper/1903.00536","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:12e63fd929b74fdfd6c9580651aa92c84552cfbc63e69d39ad7b2fd953cf8287","observation_id":"df3bf0f0-9fb2-43a8-bb99-8312514ab56e","resolution":{"observed_at":"2026-08-14T13:50:08.585405Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.01937","last_updated":"2019-10-03T17:34:40Z","snapshot_observed_at":"2026-08-15T07:23:57.400096Z","submitted_at":"2019-08-06T02:49:33Z","title":"Scalar model of effective field theory in curved space","version":2},"cited_work":{"arxiv_id":"1908.01937","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.01937","snapshot_observed_at":"2026-08-14T13:50:08.564112Z","title":"Scalar model of effective field theory in curved space","venue":"hep-th","work_id":"c0c82063-53b7-4942-abbe-2044db622c7b","year":2019},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.478650Z"},"links":{"cited_paper":"/paper/1908.01937","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:32b7eded408cce4f5e77282bb456398ad76ed6c47c090252c84e843f29adb155","observation_id":"d13ac9de-a31e-4a46-96d9-ba7895d8ec62","resolution":{"observed_at":"2026-08-14T13:50:08.568623Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.02416","last_updated":"2019-08-21T18:54:37Z","snapshot_observed_at":"2026-08-15T02:28:10.316644Z","submitted_at":"2019-08-07T01:54:19Z","title":"Unitarity, stability and loops of unstable ghosts","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.02416","snapshot_observed_at":"2026-08-14T13:50:08.482076Z","title":"Unitarity, stability and loops of unstable ghosts","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.482076Z"},"links":{"cited_paper":"/paper/1908.02416","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:7ead8d57dcd489397a8a4c213d2039d528c3c9fd72e1ce5fc1c19a9cfb535c5e","observation_id":"27007e9a-8193-4a0f-a0ba-5806434efae6","resolution":{"observed_at":"2026-08-14T13:50:08.482076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.03509","last_updated":"2015-09-11T13:52:58Z","snapshot_observed_at":"2026-08-14T22:32:48.854937Z","submitted_at":"2015-09-11T13:52:58Z","title":"Worldline Numerics for Energy-Momentum Tensors in Casimir Geometries","version":1},"cited_work":{"arxiv_id":"1509.03509","doi":null,"metadata_source":"pith","pith_arxiv_id":"1509.03509","snapshot_observed_at":"2026-08-14T13:50:08.535624Z","title":"Worldline Numerics for Energy-Momentum Tensors in Casimir Geometries","venue":"hep-th","work_id":"86ba867b-fb17-4e78-aacf-3efdb9ac5700","year":2015},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.485285Z"},"links":{"cited_paper":"/paper/1509.03509","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:b62465ef8352b850a40fa3083a584807dc384187e3db36e185c2240254636bf1","observation_id":"79b0c5f5-927c-4d58-b3c2-5efa845759fe","resolution":{"observed_at":"2026-08-14T13:50:08.539446Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T13:50:09.545791Z","title":"Energy-Momentum Tensors with Worldline Numerics","venue":null,"work_id":"7f2be83f-4bb1-4f8d-9d99-0ecce89ed475","year":2012},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.488514Z"},"links":{"citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:2af57d05f821c9194acaa78930b623d75245d2309a7c69c323267149aa26172e","observation_id":"47bfde9b-5c36-4461-900c-68d5ca17a452","resolution":{"observed_at":"2026-08-14T13:50:09.549344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1112.0469","last_updated":"2011-12-02T14:36:35Z","snapshot_observed_at":"2026-08-15T04:27:01.229781Z","submitted_at":"2011-12-02T14:36:35Z","title":"Energy-momentum tensors with worldline numerics","version":1},"cited_work":{"arxiv_id":"1112.0469","doi":null,"metadata_source":"pith","pith_arxiv_id":"1112.0469","snapshot_observed_at":"2026-08-14T13:50:08.518645Z","title":"Energy-momentum tensors with worldline numerics","venue":"hep-th","work_id":"5163c4a0-1fef-4c4a-b40b-a700da3552d3","year":2011},"citing_paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics","version":1},"reference_index":520,"source":"pdf_text","source_observed_at":"2026-08-14T13:50:08.491852Z"},"links":{"cited_paper":"/paper/1112.0469","citing_paper":"/paper/1908.04532"},"observation_digest":"sha256:ec672f1a39937546f1c5debc33a6b3b8d39bf5fd660df361c5c5b8139bf51586","observation_id":"ad27f912-475f-407c-b431-5f2a8bba2525","resolution":{"observed_at":"2026-08-14T13:50:08.524795Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.04532","last_updated":"2019-08-13T08:29:51Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-15T07:08:42.799917Z","submitted_at":"2019-08-13T08:29:51Z","title":"Propagator from Nonperturbative Worldline Dynamics"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":28,"verified_fuzzy":17},"total_outbound_references":60},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:1908.04532."}