{"as_of":"2026-08-20T03:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:96e5ea1e19e0633d390a55817eb19e8a7fd639d1779f0a7c021a9320f60df77f","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:38:36.525658Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2501.04509/citation-record","integrity":"/paper/2501.04509/integrity","json":"/paper/2501.04509/citation-record.json","paper":"/paper/2501.04509"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:38:37.851895Z","title":"Abdujabbarov, F","venue":null,"work_id":"0a79b6a0-1cb0-4d86-86f3-5f050b3ce2c9","year":2012},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.031094Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:270c7e376412195c94a1aeeed0284b9e2e2bbf736e505d558f7533339265af92","observation_id":"b0bb3448-2102-459c-a6e1-a2d39964164b","resolution":{"observed_at":"2026-08-10T21:38:37.857289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.833137Z","title":null,"venue":null,"work_id":"7ac0910f-2575-4158-972d-1014abc3e910","year":1973},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.037318Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:79a83e1924f6b5703506579ddf5ab381fccc75c5ef74f53b512f3b54b6a40212","observation_id":"c5f96733-2115-45dd-81b0-af30383db226","resolution":{"observed_at":"2026-08-10T21:38:37.839428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.813852Z","title":"Belinskii, V.E","venue":null,"work_id":"aa488fbb-1fea-43b3-a84f-d8fb2f9c5790","year":1978},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.042968Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:a3402ac9a02c97fa0b172a9c5eec2e332e1aef51de2c2fed76e75d5e4ae80bb6","observation_id":"e2b25d8a-da77-4366-8246-d7784abc4559","resolution":{"observed_at":"2026-08-10T21:38:37.819613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.792154Z","title":"Belokolos, A.I","venue":null,"work_id":"5980190c-d554-40b3-b319-f7adc241742f","year":1994},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.047913Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:8905c280e49843b7bd9c595f9e2b2a8ffd205fcc192e059cc6f970f6e7d30442","observation_id":"7f462582-6c36-4f88-9c54-e5eb56d0cd74","resolution":{"observed_at":"2026-08-10T21:38:37.800451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.768284Z","title":null,"venue":null,"work_id":"c10b8e05-f96d-447a-bf8c-48d73df75c9a","year":1969},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.053332Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:0dc25baf97780e07af28613a2d95a1fddd39cab9efdb72973e4bfecdea01a5f2","observation_id":"d5445231-042f-47af-ac31-b76e6e3980ff","resolution":{"observed_at":"2026-08-10T21:38:37.775069Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.703764Z","title":"Chandrasekharan","venue":null,"work_id":"91cd6f8f-565c-45ae-84b4-ae1d404b39f6","year":1985},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.059370Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:50c86b8327fd2d627c8156736aaa340f7836652dd237240a5da25c717ee733b3","observation_id":"81b8be44-cd52-4331-aede-0b17dd954ba7","resolution":{"observed_at":"2026-08-10T21:38:37.740085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:38:36.065276Z","title":"https://doi.org/10.1007/s10714-018-2361-9","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.065276Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:ae17c02fadab572bea25d4375d2e1759a880c958e52ea8ab951e78ab954d9fa7","observation_id":"800fb845-6f0e-47ea-a990-7d8f54de9854","resolution":{"observed_at":"2026-08-10T21:38:36.065276Z","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":"2026-08-10T21:38:37.642938Z","title":"de Leon, J","venue":null,"work_id":"6e975553-b263-4393-a65f-d8fc70e4870b","year":2024},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.070735Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:a3121f20c2bbb72034ad4e6d39f38ba1bef3f94ab9e517ca057b2883db2752bf","observation_id":"82b5add6-2618-436d-a91a-3ac9e1b733b5","resolution":{"observed_at":"2026-08-10T21:38:37.648891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19095","last_updated":"2023-10-29T17:53:15Z","snapshot_observed_at":"2026-08-20T02:53:09.228374Z","submitted_at":"2023-10-29T17:53:15Z","title":"On a class of algebro-geometric solutions to the Ernst equation","version":1},"cited_work":{"arxiv_id":"2310.19095","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.19095","snapshot_observed_at":"2026-08-10T21:38:36.597942Z","title":"On a class of algebro-geometric solutions to the Ernst equation","venue":"math-ph","work_id":"e98bed39-895c-4ab7-8c44-6e9f12241bc5","year":2023},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.102712Z"},"links":{"cited_paper":"/paper/2310.19095","citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:2d0316be538ba64aa908249ba3bf7d216d753c3812c92a45b4d582346f0d8f69","observation_id":"21c62259-8d5a-4175-9c15-36af2fc7d970","resolution":{"observed_at":"2026-08-10T21:38:36.642881Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.618195Z","title":"Einstein, Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field, Science 84, 506 (1936)","venue":null,"work_id":"4f30777e-b574-4198-bb41-fca6c948da10","year":1936},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.158582Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:318514f66e3380b7c206728ea1e94da5e24a1b9e30b502858f81fb2f24ced80e","observation_id":"e6a3ed9a-073e-416d-97f0-ed38e91d4d4d","resolution":{"observed_at":"2026-08-10T21:38:37.627190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.589149Z","title":"Ernst, New formulation of the axially symmetric gravitational field problem I , Phys","venue":null,"work_id":"8aa9cc6e-33f9-4cad-91a6-0b13d637b2c9","year":null},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.183411Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:168582450e4ee8d897bcd52d609fd9d63bafe2bf2996c313b12c03ac0164a790","observation_id":"2215dedf-7b4e-4986-b23e-bfb49d4df203","resolution":{"observed_at":"2026-08-10T21:38:37.594971Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.558800Z","title":"Ernst, New formulation of the axially symmetric gravitational field problem II , Phys","venue":null,"work_id":"26a595af-5d75-4e75-8d28-c36565cf71df","year":null},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.188228Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:2cb9f7acd8a0707f8de857f554d164af88f374ec5c643f8127db9b881405c6a3","observation_id":"b847b067-9c9d-49f1-b6c5-9ed8de55626c","resolution":{"observed_at":"2026-08-10T21:38:37.569130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.538211Z","title":"Frauendiener and C","venue":null,"work_id":"7015d4cf-c458-44a4-a635-fcfb7b5c47d8","year":null},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.193714Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:2fcca942e4822c79c81fd7d916a4355df3ea7c1f2e46ba96b3c102821a82a4e7","observation_id":"027c641f-3642-4241-8cdb-6d0c2e3a07bf","resolution":{"observed_at":"2026-08-10T21:38:37.545310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.513942Z","title":"Grenzebach, V","venue":null,"work_id":"0eadf1f1-fc5a-4e84-a438-c6a56fccb2f0","year":2014},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.199185Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:201e38656133ebb5b7e866163c4f952735d435a6cc8684fc7d1c29f3f3430526","observation_id":"650c59a0-e4df-4f20-9317-d30c983bb82a","resolution":{"observed_at":"2026-08-10T21:38:37.520830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.363933Z","title":"Hackmann and C","venue":null,"work_id":"204fb089-175a-421f-a996-6a757c8610c4","year":2012},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.204229Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:c28d1cf4d21700176506fed9a36ec01e169bb826a5a867a6151d69e65b471fea","observation_id":"3713890b-e362-4294-8bdc-096797761ecd","resolution":{"observed_at":"2026-08-10T21:38:37.439918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.347279Z","title":"Klein, D","venue":null,"work_id":"ccc4d615-c54c-4c0a-a2cd-843a5e1c0bbc","year":2004},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.209553Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:4ea49924ccb473c6c7f2e5e3ac4849dc6510de0fa49ca8625bedcc7f898ed47a","observation_id":"91491952-bfae-4361-9b3d-f5721534a0b1","resolution":{"observed_at":"2026-08-10T21:38:37.352120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.328100Z","title":"Klein, O","venue":null,"work_id":"1aaabbe7-0f50-4e94-a56a-aa47dc895563","year":1999},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.214658Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:a65ef2859c5f614d623efd40270d06302643cc0ed24f21030f86b67c12a381da","observation_id":"5cb62cf9-cd15-4e68-ad95-630970d899e0","resolution":{"observed_at":"2026-08-10T21:38:37.334921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.304736Z","title":"Klein and O","venue":null,"work_id":"90dcc76c-a9b1-4ec6-9520-0b124d3da25b","year":2005},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.219712Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:3497d6093841a8d9790149f67be9c2dc8c728dd6dd88ee4b856fe2176c4768e1","observation_id":"dd8ca3f6-e94b-4016-a386-894f82a9a705","resolution":{"observed_at":"2026-08-10T21:38:37.310742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.287491Z","title":"Korotkin","venue":null,"work_id":"7b57b7a2-5579-4e8d-833c-f1cabfccfb8c","year":1988},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.225551Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:603fad89a7bba9cc3df4f5256767a0fc45b80fd858777626c28d1da5e27751c0","observation_id":"25405398-0deb-47b3-a6c1-8564168a1a52","resolution":{"observed_at":"2026-08-10T21:38:37.293242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.208561Z","title":"Korotkin, Solutions of the vacuum Einstein equation having toroidal infinite red-shift surface , Class","venue":null,"work_id":"83a5f1c7-1596-4100-94fb-b9f8eb5cf012","year":1991},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.267865Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:9b34746d00612c016ae357931708ee2bc80fa17e329015d0a00c906e07414c99","observation_id":"874cf1f8-ac23-4793-b6df-1fa61b1104c7","resolution":{"observed_at":"2026-08-10T21:38:37.272614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.153591Z","title":"Korotkin, Algebraic Geometric Solutions of Einstein ’s Equations: Some Physical Properties , Commun","venue":null,"work_id":"2d5efb09-d723-496d-ba6a-67975118050d","year":1991},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.325969Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:9f0998dd40db51d3553041af5ba8bdd8ffd16f784b6ddb2946d94a2903fe9b8e","observation_id":"83d51c08-449a-4588-a890-c758b3b07a64","resolution":{"observed_at":"2026-08-10T21:38:37.159915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.134420Z","title":"Maison, Are the stationary axially symmetric Einstein equations completely integrable? Phys","venue":null,"work_id":"fbda4292-c530-48f9-b8ce-3930e68aec47","year":1978},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.347261Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:ef2755c2bdc25c044f622113a82de4f0bddf8f30beed70c4655b8ad52dabf03a","observation_id":"e718b62e-d5f2-441c-a3fe-8b6b07841a40","resolution":{"observed_at":"2026-08-10T21:38:37.141007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.111233Z","title":"Manko and E","venue":null,"work_id":"61ffd91d-9b55-4d49-9aaf-5459ef88f62a","year":2005},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.353157Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:c6996205ce3d788fcc5cd940bd1237634ba9285eb199ae7292e274dd050ceb3d","observation_id":"663d54ab-cd15-45a5-8cbc-e3803a798f9c","resolution":{"observed_at":"2026-08-10T21:38:37.116958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.091670Z","title":"Moreira, C.A","venue":null,"work_id":"417387e7-627d-4f97-adb2-bb6a8a9db0f0","year":2024},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.358702Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:85281cf6c58752347048452b52176cf99c79df33f49ef13813e666c7a27f727a","observation_id":"f6b623ed-2d91-4ac1-b075-452186781128","resolution":{"observed_at":"2026-08-10T21:38:37.098218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.065840Z","title":"Neugebauer, Backlund transformations of axially symmetric stationary gravitational fields J","venue":null,"work_id":"9331ed0c-faa3-4b93-b7b3-24a995b1285a","year":1979},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.363799Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:a74e984c290f8854209ef5bd8faf103a001d6bca3f1f434438b2f575b59d25cb","observation_id":"2ef77ffe-374c-4ff1-8aa4-cd7bd3a7e166","resolution":{"observed_at":"2026-08-10T21:38:37.073021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:37.043019Z","title":"Neugebauer, R.Meinel, General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions , Phys","venue":null,"work_id":"ef914602-e773-4738-a818-6204ddd45052","year":1995},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.369784Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:572020f30024681bf4570388be40a2f48ac981b9ef7bd57de269cbe847a2cd8a","observation_id":"852d70ae-c86d-4b84-8380-56240ee217c1","resolution":{"observed_at":"2026-08-10T21:38:37.050456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-19T23:46:09.720289Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-10T21:38:36.375679Z","title":"Perlick, O.Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.375679Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:33ea925ac6c57649a5bf06ce4dc4a10f2b06933e2fa7c923ca14d369881ef5bb","observation_id":"5d9e7ffd-d4bd-465d-a384-022c8553c77f","resolution":{"observed_at":"2026-08-10T21:38:36.375679Z","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":"2026-08-10T21:38:37.023529Z","title":"Silverman","venue":null,"work_id":"71a26cd0-1996-47fd-859c-5d2671986129","year":1986},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.381215Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:296dc7b40c2724175b1d42a756a68834bfa5d16a01c560e4df70d0e857287259","observation_id":"a7d6c24d-aef8-4784-8939-aa59f6740e5c","resolution":{"observed_at":"2026-08-10T21:38:37.030005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:36.999119Z","title":"Stephani, D","venue":null,"work_id":"b41b065b-468a-4dbd-acdf-3e619cfee2cf","year":2003},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.386106Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:8d59ca7aff20c998ab6b4c07436d41dcf988e74fe8f117a81c70682c1dc6a70e","observation_id":"2051999f-f527-456d-9a1e-18b56fa3361d","resolution":{"observed_at":"2026-08-10T21:38:37.006807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:36.905928Z","title":null,"venue":null,"work_id":"0ebfb756-ab43-449d-800f-3868af16adab","year":1966},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.443524Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:06137aabec4cded8fb73ba23e90e4c06257058c8d0274a4be6c30c5d6287e086","observation_id":"4a7e12e5-9cbe-4012-9b0b-f5db1cdb1a29","resolution":{"observed_at":"2026-08-10T21:38:36.972862Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:36.764750Z","title":"Teo, Spherical Photon Orbits Around a Kerr Black Hole ,General Relativity and Gravitation","venue":null,"work_id":"9a04c3ba-88ee-4bf0-9d9a-94a28f823e31","year":2003},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.512062Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:ce5482835a2be869f518c7b475b7555f91d6b91beca1632ef8a041c3d691aa55","observation_id":"807a8567-ed08-4c73-9a31-1bb60f7674e9","resolution":{"observed_at":"2026-08-10T21:38:36.791323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:36.741636Z","title":null,"venue":null,"work_id":"f76d87bf-7c06-4223-bb16-f4254837e855","year":2021},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.516783Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:077054f7da94a4685f31b9b60ee77818f9c46a376a09c4e3680514b169019f16","observation_id":"16fb3ee0-2f78-454d-af05-d0aabd15654a","resolution":{"observed_at":"2026-08-10T21:38:36.747328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T21:38:36.717304Z","title":null,"venue":null,"work_id":"077fe331-f77f-4393-a4eb-144ffde50e35","year":1972},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.525658Z"},"links":{"citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:1b0248586b6cc461480b5a64ae15d58a7e0f2b7603d6776f91083379694c6418","observation_id":"9152719f-e2b9-4c8d-9f78-33b6e6c2e134","resolution":{"observed_at":"2026-08-10T21:38:36.722652Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-19T23:08:29.657770Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":25},"total_outbound_references":33},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2501.04509."}