{"as_of":"2026-08-13T04:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4b9ff97199938d17e06417b47274783d8aa52f8c5a16d9f3ad446d30fd23737c","coverage":[{"denominator":59,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":59,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T00:07:46.382274Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T14:55:36.766191Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T11:39:47.019930Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.19758","snapshot_observed_at":"2026-08-03T14:55:36.766191Z","title":"Degli Esposti and G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.19264","last_updated":"2026-07-21T03:23:31Z","snapshot_observed_at":"2026-08-07T14:04:20.198529Z","submitted_at":"2025-12-22T11:01:12Z","title":"In-in worldline formalism in pair creating fields","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-03T14:55:36.766191Z"},"links":{"cited_paper":"/paper/2412.19758","citing_paper":"/paper/2512.19264"},"observation_digest":"sha256:eeb49e7987224bab3726a09d00374b35b535aa7f43f379bffcbbbf95b284f23a","observation_id":"bf09e185-369a-4015-bbac-5295d6656a69","resolution":{"observed_at":"2026-08-03T14:55:36.766191Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"cited_work":{"arxiv_id":"2412.19758","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.19758","snapshot_observed_at":"2026-07-04T11:39:47.019930Z","title":"Nonlinear trident usingWKBandworldlineinstantons,","venue":null,"work_id":"4f603366-755c-4306-b9a8-f8c63a1b9ce9","year":2025},"citing_paper":{"arxiv_id":"2606.23389","last_updated":"2026-06-22T14:17:12Z","snapshot_observed_at":"2026-08-12T15:21:23.714733Z","submitted_at":"2026-06-22T14:17:12Z","title":"Scattered wave functions and worldline instantons for particle production in curved spacetime","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-26T07:49:37.004093Z"},"links":{"cited_paper":"/paper/2412.19758","citing_paper":"/paper/2606.23389"},"observation_digest":"sha256:4a38529c7da7f91f0a18b535a645844854805fa4bd78e2523bfa7ec05dbfcd4d","observation_id":"2f5134e6-423e-4f3e-8b0b-539fe6bdb3cf","resolution":{"observed_at":"2026-07-04T11:39:47.021756Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.19758/citation-record","integrity":"/paper/2412.19758/integrity","json":"/paper/2412.19758/citation-record.json","paper":"/paper/2412.19758"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:08:02.134378Z","title":null,"venue":null,"work_id":"28d78aa3-bb9a-4b30-b8fb-527e87336e35","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.170102Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:52576b9b17d5c7548ec3b2c4116e6385a63a612d408c68e51d5910a25e658e7e","observation_id":"7592a626-4d2a-40d3-bcca-4901f0fec273","resolution":{"observed_at":"2026-08-11T00:08:02.138326Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.123582Z","title":"p′2 1 − γp′ 3p (1 + p′2 1 )([1 + γ2]p′2 1 + [γp′ 3]2) # + 1 2γ q (1 − γp′ 3)2 + γ2(1 + p′2 1 ) ×arccos","venue":null,"work_id":"9083816b-4b10-4c80-8908-19ff2fdcba58","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.174932Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:b0e529fbf8f5b5a08a21b4d7a47de70a6d70fe2d76106f0cc05c86e5572b9d83","observation_id":"2adb5dbb-fc1d-4397-9d6b-853677a08c7a","resolution":{"observed_at":"2026-08-11T00:08:02.127400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.00019","last_updated":"2023-01-31T11:44:54Z","snapshot_observed_at":"2026-08-08T13:01:03.375994Z","submitted_at":"2022-02-28T19:00:02Z","title":"Advances in QED with intense background fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.00019","snapshot_observed_at":"2026-08-11T00:07:46.201082Z","title":"Advances in QED with in- tense background fields,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.201082Z"},"links":{"cited_paper":"/paper/2203.00019","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:ab17f46abc4652e31a64dcf8a61fbc429947520d7c07871e99633b703b45ac7e","observation_id":"18a0514c-7730-43d6-adbc-27c2626ae6b9","resolution":{"observed_at":"2026-08-11T00:07:46.201082Z","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":"2026-08-11T00:08:02.074402Z","title":"Higher-order effects in external field: pair production by a particle","venue":null,"work_id":"9bead541-f787-45d8-8701-133fa9390056","year":1972},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.205315Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:81330f7f53cee40cb9c7192c48190007e6ca0ee2a963800363cc8c3bb1535e00","observation_id":"4e745062-2d5a-4614-83dc-874e393c1425","resolution":{"observed_at":"2026-08-11T00:08:02.078502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.061636Z","title":"Vacuum polarization correction to elastic electron and muon scattering in an intense field and pair electro- and muoproduction,","venue":null,"work_id":"60e280bc-2932-4ace-ba08-0b7e0fadf6af","year":1972},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.209452Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:a7ca5c6bf2c84098507c51dc3c34443ed39dcff406c0b1daca95ad2e142e6305","observation_id":"95e162fc-14cb-4194-8258-5b4d5225d597","resolution":{"observed_at":"2026-08-11T00:08:02.066491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1111.3886","last_updated":"2012-04-25T16:08:32Z","snapshot_observed_at":"2026-08-07T07:33:20.043827Z","submitted_at":"2011-11-16T17:47:35Z","title":"Extremely high-intensity laser interactions with fundamental quantum systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1111.3886","snapshot_observed_at":"2026-08-11T00:07:46.192314Z","title":"Extremely high-intensity laser interactions with fundamental quantum systems,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.192314Z"},"links":{"cited_paper":"/paper/1111.3886","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:464156fc8989334b3647c3e2196e6ae0f7fd425bc8dbe4202c4cb848409e9f8e","observation_id":"9b7c27bd-afb8-4bd8-bd2b-0c2dc4584501","resolution":{"observed_at":"2026-08-11T00:07:46.192314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.02161","last_updated":"2022-03-18T17:47:44Z","snapshot_observed_at":"2026-08-07T22:19:35.438018Z","submitted_at":"2021-07-05T17:43:22Z","title":"Charged particle motion and radiation in strong electromagnetic fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.02161","snapshot_observed_at":"2026-08-11T00:07:46.196708Z","title":"Charged particle motion and radiation in strong electromagnetic fields,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.196708Z"},"links":{"cited_paper":"/paper/2107.02161","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:257dd2ed3ad99fb422736442dbc736e7d77592a125dd330343b3304fb3f6bc02","observation_id":"807e8c93-dd15-4ad3-ac7c-fdaf321e75c1","resolution":{"observed_at":"2026-08-11T00:07:46.196708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.2596","last_updated":"2010-08-20T13:35:28Z","snapshot_observed_at":"2026-07-06T02:08:16.980129Z","submitted_at":"2010-02-12T16:53:19Z","title":"Complete QED theory of multiphoton trident pair production in strong laser fields","version":2},"cited_work":{"arxiv_id":"1002.2596","doi":null,"metadata_source":"pith","pith_arxiv_id":"1002.2596","snapshot_observed_at":"2026-08-11T00:08:01.809079Z","title":"Complete QED theory of multiphoton trident pair production in strong laser fields","venue":"physics.atom-ph","work_id":"0cc56cb7-8819-40a2-bc99-7af1dda6fadc","year":2010},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.220827Z"},"links":{"cited_paper":"/paper/1002.2596","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:f4c71f78f323b622a2113a1a985b7e41ac72d47600d51a2c8d6b1d8ad672ecb5","observation_id":"ffffd8a7-fcde-4c39-a8c0-5b6d8a0a7940","resolution":{"observed_at":"2026-08-11T00:08:01.812204Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1011.4072","last_updated":"2011-01-14T10:00:18Z","snapshot_observed_at":"2026-07-06T02:19:22.323031Z","submitted_at":"2010-11-17T21:02:01Z","title":"Trident pair production in strong laser pulses","version":2},"cited_work":{"arxiv_id":"1011.4072","doi":null,"metadata_source":"pith","pith_arxiv_id":"1011.4072","snapshot_observed_at":"2026-08-11T00:08:01.797178Z","title":"Trident pair production in strong laser pulses","venue":"hep-ph","work_id":"7c8e5c0c-a1cf-4f64-8d4b-acce153d9b7b","year":2010},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.224291Z"},"links":{"cited_paper":"/paper/1011.4072","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:92524701d5abfb2100c5fd40ea54540c7a1289523f24f7d101c81a52e362d6ec","observation_id":"8b2e0672-1724-4237-9552-96605887caf8","resolution":{"observed_at":"2026-08-11T00:08:01.800351Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.1356","last_updated":"2013-07-02T09:14:02Z","snapshot_observed_at":"2026-07-06T03:08:06.052476Z","submitted_at":"2013-03-06T15:38:07Z","title":"Trident pair production in a constant crossed field","version":3},"cited_work":{"arxiv_id":"1303.1356","doi":null,"metadata_source":"pith","pith_arxiv_id":"1303.1356","snapshot_observed_at":"2026-08-11T00:08:01.782980Z","title":"Trident pair production in a constant crossed field","venue":"hep-ph","work_id":"8d050789-4d3f-4f15-bd46-d7b40c49409d","year":2013},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.228160Z"},"links":{"cited_paper":"/paper/1303.1356","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:6585bb66b29ab8007d747f601559ab21857824549c364085d9ab8539627af022","observation_id":"d96d60b0-0cd7-4004-b778-35efcb37785b","resolution":{"observed_at":"2026-08-11T00:08:01.787006Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.04344","last_updated":"2018-02-21T18:29:08Z","snapshot_observed_at":"2026-07-06T06:09:03.266332Z","submitted_at":"2017-11-12T19:37:54Z","title":"Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity","version":2},"cited_work":{"arxiv_id":"1711.04344","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.04344","snapshot_observed_at":"2026-08-11T00:08:01.833729Z","title":"Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity","venue":"hep-ph","work_id":"a5f2c6ec-da6f-4149-91d2-b9432c82259f","year":2017},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.213147Z"},"links":{"cited_paper":"/paper/1711.04344","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:f6fa343634c36eb262ea4ec39b758e67fc23f17f38d720140727a2b81ea19920","observation_id":"23b1bda7-9fd3-4acd-83c9-93678ab8ad14","resolution":{"observed_at":"2026-08-11T00:08:01.837922Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.07300","last_updated":"2018-01-22T20:10:51Z","snapshot_observed_at":"2026-07-06T06:19:43.927360Z","submitted_at":"2018-01-22T20:10:51Z","title":"The effect of interference on the trident process in a constant crossed field","version":1},"cited_work":{"arxiv_id":"1801.07300","doi":null,"metadata_source":"pith","pith_arxiv_id":"1801.07300","snapshot_observed_at":"2026-08-11T00:08:01.820634Z","title":"The effect of interference on the trident process in a constant crossed field","venue":"hep-ph","work_id":"61681cec-34c2-413c-8646-fe018bc73eb9","year":2018},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.216953Z"},"links":{"cited_paper":"/paper/1801.07300","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:381c554c6af90c529e2785760f0846e296ad665194473ace8bcbedcd711c2bdf","observation_id":"3431996a-30b4-4510-b8bc-7561ae80036f","resolution":{"observed_at":"2026-08-11T00:08:01.824245Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.01731","last_updated":"2018-05-04T12:01:28Z","snapshot_observed_at":"2026-07-06T06:37:23.588751Z","submitted_at":"2018-05-04T12:01:28Z","title":"Nonlinear trident pair production in an arbitrary plane wave: a focus on the properties of the transition amplitude","version":1},"cited_work":{"arxiv_id":"1805.01731","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.01731","snapshot_observed_at":"2026-08-11T00:08:01.757193Z","title":"Nonlinear trident pair production in an arbitrary plane wave: a focus on the properties of the transition amplitude","venue":"hep-ph","work_id":"a4ae38d4-7cf6-41ca-b7f0-29632453bc36","year":2018},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.237841Z"},"links":{"cited_paper":"/paper/1805.01731","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:89df66a8a250007a717d9af8ff2e1e4f665b3ef7ce7deb81198964cf8d9d8676","observation_id":"45e2c630-73e5-42a7-8e3d-1fc220a56290","resolution":{"observed_at":"2026-08-11T00:08:01.761286Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.08860","last_updated":"2019-06-04T11:37:51Z","snapshot_observed_at":"2026-07-06T07:29:00.536663Z","submitted_at":"2019-01-25T12:59:08Z","title":"Laser pulse-length effects in trident pair production","version":2},"cited_work":{"arxiv_id":"1901.08860","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.08860","snapshot_observed_at":"2026-08-11T00:08:01.743656Z","title":"Laser pulse-length effects in trident pair production","venue":"hep-ph","work_id":"c13fda0b-2d42-4d1a-bdad-8dc67d10c596","year":2019},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.241325Z"},"links":{"cited_paper":"/paper/1901.08860","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:7ca59bfd18854bccdd4dcef4d4579e54a2ff5c89e60ede8799e30450ade59e56","observation_id":"5e85c924-479f-45e6-9666-ba2e5e7c1e9a","resolution":{"observed_at":"2026-08-11T00:08:01.747974Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.11017","last_updated":"2019-12-23T18:23:44Z","snapshot_observed_at":"2026-07-06T08:46:37.972284Z","submitted_at":"2019-12-23T18:23:44Z","title":"The trident process in laser pulses","version":1},"cited_work":{"arxiv_id":"1912.11017","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.11017","snapshot_observed_at":"2026-08-11T00:08:01.730839Z","title":"The trident process in laser pulses","venue":"hep-ph","work_id":"e96eb03c-fd21-4d95-8fdc-90f91a428706","year":2019},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.244639Z"},"links":{"cited_paper":"/paper/1912.11017","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:1dd9f8eca7ba2264bb5405cf7b2c4526ef679801b0056bfd2c1ea9f53601f3c9","observation_id":"20abcb53-5d0d-49f9-8936-99efbf35ba9e","resolution":{"observed_at":"2026-08-11T00:08:01.734275Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1308.5324","last_updated":"2013-08-24T13:34:32Z","snapshot_observed_at":"2026-07-06T03:21:22.898923Z","submitted_at":"2013-08-24T13:34:32Z","title":"Trident Pair Production in Colliding Bright X-ray Laser Beams","version":1},"cited_work":{"arxiv_id":"1308.5324","doi":null,"metadata_source":"pith","pith_arxiv_id":"1308.5324","snapshot_observed_at":"2026-08-11T00:08:01.770787Z","title":"Trident Pair Production in Colliding Bright X-ray Laser Beams","venue":"physics.atom-ph","work_id":"2abc3b00-bc9f-41ff-bb46-8b8adef18ef4","year":2013},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.231663Z"},"links":{"cited_paper":"/paper/1308.5324","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:3945c855dcd59c5e511afc3ba69d26f0a64392654e8784b668059972e549ee74","observation_id":"910b01f5-9428-4161-9745-70855c379f91","resolution":{"observed_at":"2026-08-11T00:08:01.774077Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.048162Z","title":"Circular dichroism in nonlinear electron-positron pair creation","venue":null,"work_id":"23cefd0b-2811-4c83-9852-32d491a1c1c2","year":2015},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.234785Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:a979a7031a03b749424d75975543c35a77f12a1c9e9bb4b51eda6b3e000d4ab3","observation_id":"02de1231-6b1e-426b-b9ae-31ebbe1bb847","resolution":{"observed_at":"2026-08-11T00:08:02.053062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.05031","last_updated":"2022-07-11T17:37:48Z","snapshot_observed_at":"2026-08-12T14:09:02.131141Z","submitted_at":"2022-07-11T17:37:48Z","title":"Resummation of the $\\alpha$ expansion for nonlinear pair production","version":1},"cited_work":{"arxiv_id":"2207.05031","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.05031","snapshot_observed_at":"2026-08-11T00:08:01.688635Z","title":"Resummation of the $\\alpha$ expansion for nonlinear pair production","venue":"hep-ph","work_id":"52e8f18f-5215-40e2-a2ac-723559038801","year":2022},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.256299Z"},"links":{"cited_paper":"/paper/2207.05031","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:843509530b4ea0c4bfa83f233a10e0a4c2822ba380f74cb769d6c71f0bcc927c","observation_id":"a75767f2-877c-4e3a-89d8-2e53c8a4ee48","resolution":{"observed_at":"2026-08-11T00:08:01.692523Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.07872","last_updated":"2022-09-16T12:07:24Z","snapshot_observed_at":"2026-07-06T13:53:02.447733Z","submitted_at":"2022-09-16T12:07:24Z","title":"Plasma dynamics at the Schwinger limit and beyond","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.07872","snapshot_observed_at":"2026-08-11T00:07:46.260932Z","title":"PlasmadynamicsattheSchwingerlimit and beyond,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.260932Z"},"links":{"cited_paper":"/paper/2209.07872","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:7b6256bae360335a6ae1b41d177fd736150cef567ea406dc68c4d8d027003c30","observation_id":"80f671fe-5b73-4ee2-bc7b-d2ee1b573947","resolution":{"observed_at":"2026-08-11T00:07:46.260932Z","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":"2026-08-11T00:08:02.037690Z","title":"Resonance Effects in the Field of an Intense Laser Beam","venue":null,"work_id":"86d36dab-8f2a-43bb-a06a-537457ae11c4","year":1967},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.265226Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:319ed21c78dbbcb7d1e97c2f5e46176daf3bf09af878c02b174d7d462b548ac7","observation_id":"793dcf1e-4c8e-4e1b-a582-6f9ab570f1e2","resolution":{"observed_at":"2026-08-11T00:08:02.041869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.11015","last_updated":"2020-06-04T14:19:15Z","snapshot_observed_at":"2026-07-06T08:46:37.972284Z","submitted_at":"2019-12-23T18:16:23Z","title":"Approximating higher-order nonlinear QED processes with first-order building blocks","version":2},"cited_work":{"arxiv_id":"1912.11015","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.11015","snapshot_observed_at":"2026-08-11T00:08:01.716953Z","title":"Approximating higher-order nonlinear QED processes with first-order building blocks","venue":"hep-ph","work_id":"036aece4-e985-45d0-bb3f-fd3eba7cf0c3","year":2019},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.248189Z"},"links":{"cited_paper":"/paper/1912.11015","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:6fad21a9d8023de77c8f9d107f11970908326f6774f94daa2903a229a937e711","observation_id":"20714012-b8a3-4e58-8281-fe399d6a0650","resolution":{"observed_at":"2026-08-11T00:08:01.721894Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.08492","last_updated":"2020-07-16T17:43:23Z","snapshot_observed_at":"2026-08-12T10:21:05.580089Z","submitted_at":"2020-07-16T17:43:23Z","title":"Nonlinear trident in the high-energy limit: Nonlocality, Coulomb field and resummations","version":1},"cited_work":{"arxiv_id":"2007.08492","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.08492","snapshot_observed_at":"2026-08-11T00:08:01.703393Z","title":"Nonlinear trident in the high-energy limit: Nonlocality, Coulomb field and resummations","venue":"hep-ph","work_id":"87e57eac-52dc-4ee6-99a5-7609ad591b72","year":2020},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.252224Z"},"links":{"cited_paper":"/paper/2007.08492","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:91132f650c16ccd551e8f0e9697138f6b0509bfcb9d49c61a96af1d653daaca8","observation_id":"56cf9fd8-b1cd-4f7b-969c-528fd15fdc17","resolution":{"observed_at":"2026-08-11T00:08:01.706986Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.01659","last_updated":"2023-08-28T13:45:20Z","snapshot_observed_at":"2026-07-06T16:02:03.144875Z","submitted_at":"2023-08-03T09:49:37Z","title":"Momentum spectrum of Schwinger pair production in four-dimensional e-dipole fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.01659","snapshot_observed_at":"2026-08-11T00:07:46.277065Z","title":"Momentum spec- trum of Schwinger pair production in four-dimensional e-dipole fields,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.277065Z"},"links":{"cited_paper":"/paper/2308.01659","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:6387576f546f94d7ead8be620073ebbf69d8d590a38a882edb3a589c72174d3d","observation_id":"a31d785f-013c-4cf2-970f-7eb2599372a1","resolution":{"observed_at":"2026-08-11T00:07:46.277065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0108090","last_updated":"2001-11-07T19:45:12Z","snapshot_observed_at":"2026-07-07T04:40:52.739232Z","submitted_at":"2001-08-13T19:45:47Z","title":"Pair creation and axial anomaly in light-cone $QED_2$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0108090","snapshot_observed_at":"2026-08-11T00:07:46.280816Z","title":"Pair creation and axial anomaly in light cone QED(2),","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.280816Z"},"links":{"cited_paper":"/paper/hep-th/0108090","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:40d1ee209692cd1b1500bb9da1a63af4d93e4d3d14e52a71bf8c94475a5bfb4e","observation_id":"095c42fd-8f86-4e71-b3e4-83ceb2ebddde","resolution":{"observed_at":"2026-08-11T00:07:46.280816Z","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":"2026-07-06T03:45:37.216438Z","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":"2026-08-11T00:07:46.284862Z","title":"Localisation in worldline pair produc- tion and lightfront zero-modes,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.284862Z"},"links":{"cited_paper":"/paper/1406.1513","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:379b92c553086922a1f08f6615695438f72bb4ab15df06572ee4a4abd4677022","observation_id":"701f8598-7fb5-4bfd-a37d-3fec6701b590","resolution":{"observed_at":"2026-08-11T00:07:46.284862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.4045","last_updated":"2012-05-09T13:51:11Z","snapshot_observed_at":"2026-07-06T02:41:24.802766Z","submitted_at":"2012-01-19T12:50:50Z","title":"Two-photon Compton process in pulsed intense laser fields","version":2},"cited_work":{"arxiv_id":"1201.4045","doi":null,"metadata_source":"pith","pith_arxiv_id":"1201.4045","snapshot_observed_at":"2026-08-11T00:08:01.667262Z","title":"Two-photon Compton process in pulsed intense laser fields","venue":"hep-ph","work_id":"ea3301ff-92fe-4c4a-b2cf-855573205e51","year":2012},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.269389Z"},"links":{"cited_paper":"/paper/1201.4045","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:eaeb9f26b20144980909e68e712f491fe7d9020ebffd54c4ebbdf518653cfc34","observation_id":"f9d9b0db-247e-4bc0-abf9-b71b6afdba0c","resolution":{"observed_at":"2026-08-11T00:08:01.670551Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.027083Z","title":"Reso- nant Effect of High-Energy Electron–Positron Pairs Pro- duction in Collision of Ultrarelativistic Electrons with an X-ray Electromagnetic Wave,","venue":null,"work_id":"ccb622d6-65e9-4a89-9b29-2b9fa6a71bd9","year":2021},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.273402Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:abee1c484dec6b690386cc7d7a574f0ba220d5a450f53e283f9ae497cf8b0633","observation_id":"7102b28a-d6d4-412b-a608-1dce5f52d060","resolution":{"observed_at":"2026-08-11T00:08:02.031271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.11433","last_updated":"2021-12-21T18:51:35Z","snapshot_observed_at":"2026-08-09T15:49:45.045451Z","submitted_at":"2021-12-21T18:51:35Z","title":"Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.11433","snapshot_observed_at":"2026-08-11T00:07:46.296102Z","title":"Worldline instan- tons for nonlinear Breit-Wheeler pair production and Compton scattering,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.296102Z"},"links":{"cited_paper":"/paper/2112.11433","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:80d49d57220863f28481746cfd114c7f23377def0fe27c05ef5a99fd73011fc4","observation_id":"aae9d296-f0e9-47c2-80dc-b2187cd3a930","resolution":{"observed_at":"2026-08-11T00:07:46.296102Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.17186","last_updated":"2023-12-28T18:18:44Z","snapshot_observed_at":"2026-07-06T17:09:24.271573Z","submitted_at":"2023-12-28T18:18:44Z","title":"Momentum spectrum of nonlinear Breit-Wheeler pair production in space-time fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.17186","snapshot_observed_at":"2026-08-11T00:07:46.300004Z","title":"Momentum spec- trum of nonlinear Breit-Wheeler pair production in spacetime fields,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.300004Z"},"links":{"cited_paper":"/paper/2312.17186","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:29394aaccb64f58278ab6703d7f479fb1a5d63d30ad822e29a7b7f0bf2ac8ea4","observation_id":"c87d160d-b7ef-465a-bee8-11295e05a59b","resolution":{"observed_at":"2026-08-11T00:07:46.300004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.00943","last_updated":"2018-07-01T08:50:38Z","snapshot_observed_at":"2026-07-06T06:42:45.078166Z","submitted_at":"2018-06-04T03:56:44Z","title":"Discrete worldline instantons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.00943","snapshot_observed_at":"2026-08-11T00:07:46.303039Z","title":"Dis- crete worldline instantons,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.303039Z"},"links":{"cited_paper":"/paper/1806.00943","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:44ce10eb56dca2784b445e337e89487fa28f2a47b3f266801ea20f1e9e0b43ce","observation_id":"13d382c3-47cc-4b62-b579-608c58cc13bc","resolution":{"observed_at":"2026-08-11T00:07:46.303039Z","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":"2026-08-11T00:08:02.085936Z","title":"non-physical","venue":null,"work_id":"3af0b6f9-e8dd-4160-956b-b06a7fb308c6","year":2020},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.187497Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:1a9843c6da16e2b38db6f52b07fbac2cb143a6770caaee22577af2d28c6e8c78","observation_id":"8a436cb2-8ab8-4d73-a1ed-acd5afeb5312","resolution":{"observed_at":"2026-08-11T00:08:02.090053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.111977Z","title":null,"venue":null,"work_id":"e3f80315-4fb9-463f-9d0e-bba2b36c8fea","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.179488Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:e58e8c633651caaaf46851ca33dc690760ba93b7b75fe9c08dbf9325434a4f65","observation_id":"62823523-798d-4bf2-9fea-f66902dd141f","resolution":{"observed_at":"2026-08-11T00:08:02.115781Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.099157Z","title":"From the two Mueller vectors,MC and MBW, we now construct a two-step approximation as (cf","venue":null,"work_id":"98857cff-719d-43c9-8099-7a4b1784c21f","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.183217Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:3f90e0cc58b4226b242d232efb11941c6a3ae0803379cde9c5f4aacfa8b86440","observation_id":"a0ec3595-9c7d-4243-9e0e-c851965ff959","resolution":{"observed_at":"2026-08-11T00:08:02.103678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.08741","last_updated":"2022-08-26T14:05:37Z","snapshot_observed_at":"2026-08-07T19:45:50.254552Z","submitted_at":"2021-07-19T10:22:46Z","title":"Sauter-Schwinger effect for colliding laser pulses","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.08741","snapshot_observed_at":"2026-08-11T00:07:46.288781Z","title":"Sauter-Schwinger Effect for Collid- ing Laser Pulses,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.288781Z"},"links":{"cited_paper":"/paper/2107.08741","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:dba8a5715afb85c77d896136faa97bba3a1b0ad549998e213ee2c1cf2d3e4eb7","observation_id":"48eea962-2271-4163-872a-3e42095b8bde","resolution":{"observed_at":"2026-08-11T00:07:46.288781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.11578","last_updated":"2022-12-22T10:14:28Z","snapshot_observed_at":"2026-08-12T14:41:45.589337Z","submitted_at":"2022-12-22T10:14:28Z","title":"Worldline instantons for the momentum spectrum of Schwinger pair production in space-time dependent fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.11578","snapshot_observed_at":"2026-08-11T00:07:46.292486Z","title":"Worldline instan- tons for the momentum spectrum of Schwinger pair pro- duction in spacetime dependent fields,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.292486Z"},"links":{"cited_paper":"/paper/2212.11578","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:0bfa8ba5a5f33360b9773f4cf53447f129967180e4d076a2578d9c6cd0bffc42","observation_id":"9ce6e6d1-2fba-4ef3-b524-da89da38e3f9","resolution":{"observed_at":"2026-08-11T00:07:46.292486Z","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":"2026-08-11T00:08:02.017071Z","title":"Über die Beugung und Bremsung der Elektronen,","venue":null,"work_id":"95594ba4-38a4-451c-9659-c6fd5913f47d","year":1931},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.305980Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:d91d6dc894c5edc4d953e216e06bf1eed03803dc46d01a40188a1703d830afdc","observation_id":"6d9c3c8b-3425-465a-96c6-bd19d6c301f2","resolution":{"observed_at":"2026-08-11T00:08:02.020645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:02.005532Z","title":"Interaction of an Electron and Positron in Pair Production,","venue":null,"work_id":"0e378492-f805-4cff-9f26-0bd6aa06f483","year":1948},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.308956Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:d0f39671bbe5d291f383e50ebc904a265ece790bb05c72912f86df303fa791df","observation_id":"7d863212-cdbe-4511-bec2-712e5933c394","resolution":{"observed_at":"2026-08-11T00:08:02.010639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.993448Z","title":"Quantum mechanics","venue":null,"work_id":"7527f86f-5de0-4f2d-81f9-0bc12a278b27","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.312189Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:18f65fa6784988335c173463e644a6e7415174eeca11773c938b9d86b051e1ab","observation_id":"3e2e7cb9-8f97-4147-9bef-b46dcffff9d1","resolution":{"observed_at":"2026-08-11T00:08:01.997654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.981398Z","title":"Quantum mechanics – non-relativistic theory","venue":null,"work_id":"c2ce0469-1232-407b-904e-9cf337e67840","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.315163Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:7545b2daed671db97b7fc7d483270ec0988150f5d9d8ea75a6ee3a1a7c77244a","observation_id":"bd92a8bd-2c27-435b-83b9-46794e5f2c52","resolution":{"observed_at":"2026-08-11T00:08:01.985558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.969915Z","title":"Quantum electrody- namics","venue":null,"work_id":"cbedfe03-4bad-454a-975d-1a1cd9590bb2","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.318410Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:9df1709576939709550e93c8b86f956cbae7c6f29f13cae23d794d4e6424fc41","observation_id":"ab69a00d-6fb0-4d3f-b1a5-96b07ccade44","resolution":{"observed_at":"2026-08-11T00:08:01.973919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.958659Z","title":"Quantum mechanics","venue":null,"work_id":"e1423e5d-ae8e-4206-8a90-d3e50e81aa43","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.321319Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:05013de674a19ae8ded71ee4652a02e8b376b52b7e5ab8d824f734d42bb955ff","observation_id":"d5d96de8-c5cd-43d7-baef-d307599cacf3","resolution":{"observed_at":"2026-08-11T00:08:01.962326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.946502Z","title":"TOPICS IN TAU PHYSICS AT A TAU 30 CHARM FACTORY,","venue":null,"work_id":"c6368734-148c-46cf-b570-3e4093076c29","year":null},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.324317Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:b785440548a04b0ef7f9e585db46c78ad8e56b9e6e1a13b5ea89fa8f76db9139","observation_id":"72eccc2f-e203-4d79-aa49-9e81860fb818","resolution":{"observed_at":"2026-08-11T00:08:01.950865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9312358","last_updated":"1993-12-30T21:57:37Z","snapshot_observed_at":"2026-08-07T15:39:40.184029Z","submitted_at":"1993-12-30T21:57:37Z","title":"E+ E- -> Tau+ Tau- at the Threshold and Beyond","version":1},"cited_work":{"arxiv_id":"hep-ph/9312358","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9312358","snapshot_observed_at":"2026-08-11T00:08:01.583759Z","title":"E+ E- -> Tau+ Tau- at the Threshold and Beyond","venue":"hep-ph","work_id":"45e28a01-595a-4ce0-bef9-b4fc96663e29","year":1993},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.327038Z"},"links":{"cited_paper":"/paper/hep-ph/9312358","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:e5c727aaa803f5c3abaee89dc8fcf2ca0007f435e27cb760e2597f1ceec71f51","observation_id":"273a0f3d-abd7-465c-b051-8c9c0350a5f8","resolution":{"observed_at":"2026-08-11T00:08:01.587017Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0904.2225","last_updated":"2009-05-07T18:56:03Z","snapshot_observed_at":"2026-07-06T01:55:46.858494Z","submitted_at":"2009-04-15T00:14:59Z","title":"Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)","version":2},"cited_work":{"arxiv_id":"0904.2225","doi":null,"metadata_source":"pith","pith_arxiv_id":"0904.2225","snapshot_observed_at":"2026-08-11T00:08:01.567470Z","title":"Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)","venue":"hep-ph","work_id":"72fc3601-d92e-4793-94b7-06d933a56c61","year":2009},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.330067Z"},"links":{"cited_paper":"/paper/0904.2225","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:ae856fb545babe2088337e836ca76b0a670c2269bfe9189f324afe1b6630eabe","observation_id":"6172464b-0b00-4eba-92b0-db681d9bbd51","resolution":{"observed_at":"2026-08-11T00:08:01.572365Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0711.1725","last_updated":"2008-04-01T14:55:55Z","snapshot_observed_at":"2026-07-06T01:31:36.638557Z","submitted_at":"2007-11-12T20:59:58Z","title":"Unexpected features of e+e-->ppbar and e+e-->lambda-lambdabar cross sections near threshold","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0711.1725","snapshot_observed_at":"2026-08-11T00:07:46.333118Z","title":"Un- expected features of e+ e- —> p anti-p and e+ e- —> Lambdaanti-Lambdacrosssectionsnearthreshold,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.333118Z"},"links":{"cited_paper":"/paper/0711.1725","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:896c5043a75f7ada6b37af73efae23e86ee9a1d74f00ebce79b57d87828921c5","observation_id":"6037ae4c-d5a1-43ae-af17-8b425b06a733","resolution":{"observed_at":"2026-08-11T00:07:46.333118Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ex/0512023","last_updated":"2005-12-09T10:31:16Z","snapshot_observed_at":"2026-08-11T04:38:07.522191Z","submitted_at":"2005-12-09T10:31:16Z","title":"A study of e+e- -> p anti-p using initial state radiation with BABAR","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ex/0512023","snapshot_observed_at":"2026-08-11T00:07:46.335979Z","title":"A Study ofe+e− → p¯p using initial state radiation with BABAR,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.335979Z"},"links":{"cited_paper":"/paper/hep-ex/0512023","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:90e175fff88070b4aa7c08ca03cfb34ab42e7532fb05899494835e377e35e6ce","observation_id":"8ae02a3a-df57-4e1d-93b8-3107b9de14fc","resolution":{"observed_at":"2026-08-11T00:07:46.335979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0709.1988","last_updated":"2007-09-13T04:09:46Z","snapshot_observed_at":"2026-08-01T15:16:31.742018Z","submitted_at":"2007-09-13T04:09:46Z","title":"Study of e+e- --> Lambda anti-Lambda, Lambda anti-Sigma0, Sigma0 anti-Sigma0 using Initial State Radiation with BABAR","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0709.1988","snapshot_observed_at":"2026-08-11T00:07:46.338854Z","title":"Study of e+e− → Λ ¯Λ, Λ ¯Σ0, Σ0 ¯Σ0 using initial state radiation with BABAR,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.338854Z"},"links":{"cited_paper":"/paper/0709.1988","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:25923b5c6611b816a09b3b7f0eec1a1ea88a70ed2b11ff6aae0e5d6943f1bff0","observation_id":"a9eeaebb-1032-4ac6-be19-647fd66d2896","resolution":{"observed_at":"2026-08-11T00:07:46.338854Z","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":"2303.07629","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:08:01.520345Z","title":"Measurement of thee+e− → Λ ¯Λ cross section from threshold to 3.00 GeV using events with initial-state radiation,","venue":null,"work_id":"b9b39d1a-da78-4b78-abeb-0a3d581770c2","year":2023},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.342036Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:65f8b223de5c73abe1876b3576082063851177b81bdcf194f7f9a4db1b40780f","observation_id":"4a451fb7-1a79-4ac5-ad89-929bcf9fb114","resolution":{"observed_at":"2026-08-11T00:08:01.526228Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0810.0713","last_updated":"2009-01-20T06:02:39Z","snapshot_observed_at":"2026-08-04T15:47:39.239482Z","submitted_at":"2008-10-06T19:59:30Z","title":"A Theory of Dark Matter","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0810.0713","snapshot_observed_at":"2026-08-11T00:07:46.345211Z","title":"A Theory of Dark Matter,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.345211Z"},"links":{"cited_paper":"/paper/0810.0713","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:052430c3f2e7a1024af477479c2ead746f6c1ae8feb14adb239309cdef9b4053","observation_id":"d2322f22-3892-480d-b358-6a3d2baa9a67","resolution":{"observed_at":"2026-08-11T00:07:46.345211Z","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":"2026-08-11T00:08:01.932329Z","title":"Lagrangian of an intense electromagnetic field and quantum electrodynamics at short distances,","venue":null,"work_id":"35faef8a-b320-4426-947a-3f76eabd3f2a","year":1975},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.349079Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:6239c18f38d640544fc48a7ea00da013921e1e7ae85cfe9815866d5d1eb758b4","observation_id":"5a70d5bc-4e32-47ab-a72e-e4cd3dc861bb","resolution":{"observed_at":"2026-08-11T00:08:01.937646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.920806Z","title":"Pair Produc- tion at Strong Coupling in Weak External Fields,","venue":null,"work_id":"437d216e-2c47-4e84-90b8-8f5821a3df72","year":1982},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.352257Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:e733162e060768d4fee8cf6342f9360cb018080e21ab064e772c30a1bd45548a","observation_id":"6d0d66aa-2b35-4dab-b943-b7d1202bbebd","resolution":{"observed_at":"2026-08-11T00:08:01.924489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.908402Z","title":"VIRIAL REPRE- SENTATION OF THE IMAGINARY PART OF THE LAGRANGE FUNCTION OF THE ELECTROMAG- NETIC FIELD,","venue":null,"work_id":"d2ec57e4-e5db-4190-b0ab-c3012fab6725","year":1984},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.355459Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:9b85cca1354521617cb546f3ba4699ab55158341933ade6c17585d5151e5c036","observation_id":"15853fbc-ea4d-422a-a0f4-f980bc494a81","resolution":{"observed_at":"2026-08-11T00:08:01.912664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1010.5315","last_updated":"2010-12-13T03:29:25Z","snapshot_observed_at":"2026-07-06T02:18:12.010770Z","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":"1010.5315","doi":null,"metadata_source":"pith","pith_arxiv_id":"1010.5315","snapshot_observed_at":"2026-08-11T00:07:46.453717Z","title":"Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop","venue":"hep-th","work_id":"de8c382b-0661-449a-b8a6-c878de534fd7","year":2010},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.358891Z"},"links":{"cited_paper":"/paper/1010.5315","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:34372783ffff6312face2b8df68ad1ff539a86419ae86732c7a8fe381fa054ab","observation_id":"fd25562c-a378-4a9e-a30b-de2b64216e93","resolution":{"observed_at":"2026-08-11T00:07:46.457519Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.08380","last_updated":"2018-12-20T06:41:03Z","snapshot_observed_at":"2026-08-10T07:31:23.374404Z","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":"2026-08-11T00:07:46.362609Z","title":"Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.362609Z"},"links":{"cited_paper":"/paper/1812.08380","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:ede9539d40af41f416ca798f86051d90223a27e0091be061a745cd09c469cd9f","observation_id":"d4e08bf1-c77e-4c22-849f-645101694256","resolution":{"observed_at":"2026-08-11T00:07:46.362609Z","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":"2026-08-07T19:10:02.196111Z","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":"2026-08-11T00:07:46.366666Z","title":"Thermal Schwinger pair pro- duction at arbitrary coupling,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.366666Z"},"links":{"cited_paper":"/paper/1704.04801","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:a65bc55ee2993d59b7af9ff8e2c1519c39781b6d3551495a66ba0a7bb92cb2b4","observation_id":"87b6a5db-5d81-4693-a786-71d5e0f44ccb","resolution":{"observed_at":"2026-08-11T00:07:46.366666Z","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":"2026-08-11T00:08:01.896940Z","title":"Über das Verhalten eines Elektrons im homo- genen elektrischen Feld nach der relativistischen Theorie Diracs,","venue":null,"work_id":"6efb3d3e-9f3f-43ea-9d4e-b5b695d90e49","year":1931},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.370793Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:827e3cdc87b24a319b674ea63f5231c20e67e6ad1803869e137e6b49c1863d14","observation_id":"466aeb5f-7539-49ea-ae01-b78e51b79b03","resolution":{"observed_at":"2026-08-11T00:08:01.900495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.886465Z","title":"On gauge invariance and vacuum po- larization,","venue":null,"work_id":"ce70b270-c92a-4a35-8302-3846e4ef0c4f","year":1951},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.374419Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:1514930c941ccb9faf44bbb7414286120c462d7be78b697f7b2ce8bd079ddc67","observation_id":"9cfef9af-dd10-4a57-af7a-540beececd1f","resolution":{"observed_at":"2026-08-11T00:08:01.890060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T00:08:01.874059Z","title":"Magnetic Charge and the Charge Quan- tization Condition,","venue":null,"work_id":"ae0c7ba6-3f0c-4177-9e73-340927a3981c","year":1975},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.378560Z"},"links":{"citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:d4d7990cbaac36be7a8c60723935fe8da3cd2dae6a6a21b6369e279de622da89","observation_id":"dc70fc94-c862-4ab6-9e7b-aa572a76f2ec","resolution":{"observed_at":"2026-08-11T00:08:01.879136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1207.1745","last_updated":"2013-05-21T20:30:14Z","snapshot_observed_at":"2026-07-06T02:51:25.667136Z","submitted_at":"2012-07-06T23:21:57Z","title":"The Lorentz-Dirac and Landau-Lifshitz equations from the perspective of modern renormalization theory","version":2},"cited_work":{"arxiv_id":"1207.1745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1207.1745","snapshot_observed_at":"2026-08-11T00:07:46.414679Z","title":"The Lorentz-Dirac and Landau-Lifshitz equations from the perspective of modern renormalization theory","venue":"physics.class-ph","work_id":"46f46c11-a7c6-4d68-9955-883dd71c1133","year":2012},"citing_paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T00:07:46.382274Z"},"links":{"cited_paper":"/paper/1207.1745","citing_paper":"/paper/2412.19758"},"observation_digest":"sha256:3ee96d2246f3c6e39aa7950fb1a451be588ae3a97f215193bc5d7933e0d53340","observation_id":"37fef692-3c44-43bb-9be5-946c57648d01","resolution":{"observed_at":"2026-08-11T00:07:46.421003Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.19758","last_updated":"2025-08-15T07:14:05Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-13T00:03:53.353950Z","submitted_at":"2024-12-27T17:39:55Z","title":"Nonlinear trident using WKB and worldline instantons"},"reference_resolution":{"displayed":59,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":18,"verified_fuzzy":21},"total_outbound_references":59},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 2 inbound Pith citation observations for arXiv:2412.19758."}