{"as_of":"2026-08-16T07:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:506eda354be8e7af54074285605ffbb5cb0dbcb446226ff9036e5862a1187db3","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:08:13.160667Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.06236/citation-record","integrity":"/paper/1908.06236/integrity","json":"/paper/1908.06236/citation-record.json","paper":"/paper/1908.06236"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.388287Z","title":null,"venue":null,"work_id":"ff424b85-6d44-4ff1-8d8a-89eb34af9f96","year":2007},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.096579Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:5f312c9fb493119db1d6e28cac9896ec15506b5bbb30a2a79b0101c3a1eb17de","observation_id":"e4557239-c05a-48ff-90da-4aef294bd027","resolution":{"observed_at":"2026-08-14T13:08:13.392728Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.376837Z","title":"Arhangel’skiˇ ı, M","venue":null,"work_id":"009715c2-f349-4624-8ad3-d33b67c0ef4f","year":2008},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.101372Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:34694f908eb4c0f3868c2ddd496bee430657db8485a4f51c839c7d4f91a5ea8a","observation_id":"6e9caa97-f9ba-40ae-b428-87bd38795f97","resolution":{"observed_at":"2026-08-14T13:08:13.380843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.364521Z","title":"Bagley, On the characterization of the lattice of topo logies, J","venue":null,"work_id":"5c7d05a3-9a60-4140-a0ad-d6da6a8b10e5","year":1955},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.104894Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:de038c8673860002fe134e62becf9482d4fd0723fd8a4ce951b4cab1c8fc2a91","observation_id":"855ad919-6a4b-4999-a029-7fe6bfa91eed","resolution":{"observed_at":"2026-08-14T13:08:13.369351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.350584Z","title":"Birkhoff, On the combination of topologies , Fundam","venue":null,"work_id":"d8affb26-5d3b-49a0-b639-16c5c36c86e5","year":1936},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.108454Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:b8b6c3df1e7343edc7134e2bca5b9fd29065c4be2ccb76bf05834f571d191146","observation_id":"6983b24f-918d-41c5-8e20-569c0a599632","resolution":{"observed_at":"2026-08-14T13:08:13.355306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.337147Z","title":"B/suppress laszczyk, M","venue":null,"work_id":"eebd1f2f-6cd4-456c-9c98-1fcea9ec14e9","year":2017},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.111784Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:0c28bc281960027ef5a630e46f9edc7bebf6f777707e939fb5cb5c8142cc62a4","observation_id":"824fc849-0f5f-4383-bc16-3b09ae6fdf58","resolution":{"observed_at":"2026-08-14T13:08:13.341015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.326518Z","title":"Dikranjan, M","venue":null,"work_id":"eb0d2f1f-e920-483e-9765-e79782a8bdd4","year":2005},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.115762Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:5e24b15885eda22210713d1011f66e28004b7fec9c8483f99febdc11848f7cf9","observation_id":"fe96a602-b49d-4b6a-a085-8ac6478376ef","resolution":{"observed_at":"2026-08-14T13:08:13.330259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.313254Z","title":"Dikranjan, M","venue":null,"work_id":"918cf170-370c-4349-837d-90178da5cb2e","year":2006},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.120512Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:fb9df2d8d7ef3457aeb1a27920b667f12089729c2f4f0f49f086830abc625eed","observation_id":"a827a23d-3b85-4202-a866-da9f9876f708","resolution":{"observed_at":"2026-08-14T13:08:13.317664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.300894Z","title":"Engelking, General Topology (revised and completed edition), Heldermann Verlag, Berli n, 1989","venue":null,"work_id":"a0593902-f471-4eec-9890-85484bb377fb","year":1989},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.124663Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:e911abad7cbded0adae7aa909aa669beb52b604c46aa0654f743e45906df0165","observation_id":"acd2e8e4-4ec0-4ab4-a3e9-3e816f462d35","resolution":{"observed_at":"2026-08-14T13:08:13.305752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.288302Z","title":null,"venue":null,"work_id":"016a5ca3-e7a9-406a-bd90-9bbcdb8edab4","year":2012},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.128763Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:3cc44eac41eadf6f9b132e1074b4ad4fbdd20992702bb90f6cf491540d996a57","observation_id":"3f79a84b-7e9f-467b-a079-9cff37a43b57","resolution":{"observed_at":"2026-08-14T13:08:13.292370Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.276616Z","title":"Liu, A note on paratopological groups , Comment Math","venue":null,"work_id":"4216d190-fcf7-4247-acf3-f697591cb997","year":2006},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.132826Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:03c666224d0515f500baf8b63868a6ee637bd705f8f084ec665beaa2305cb62e","observation_id":"1b8f8b9c-52fc-4353-9e60-fcde6f89e83c","resolution":{"observed_at":"2026-08-14T13:08:13.280288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.264775Z","title":"Protasov, E","venue":null,"work_id":"08648069-e7e6-4828-9c20-d7be7871cbde","year":1999},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.136815Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:5856a8a9801efae0c52de6a6d417c75195519c933a462552f35b6c8f427971c8","observation_id":"71831e57-8eb6-4910-9197-93d40db67783","resolution":{"observed_at":"2026-08-14T13:08:13.269358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.251066Z","title":null,"venue":null,"work_id":"01c763e1-f2f8-4a73-ae49-6008c50e6119","year":1968},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.140613Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:b44511b3f8c8b3262894b0e33f2a8d007a82f8bd532b16b445269b1649e50530","observation_id":"d2d6bf52-efdf-464a-a4d4-dd3a23cb1d58","resolution":{"observed_at":"2026-08-14T13:08:13.255889Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.237531Z","title":"Shakhmatov, Condensations of universal topological algebras preservi ng continuity of operations and decreasing weights, Moscow Univ","venue":null,"work_id":"92373cc1-5ddf-4eca-8016-e525564bd5e5","year":1984},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.145450Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:52a3304038e02d63af475c9ebe1c511265c69ab99318bff2094a933b42ea4e68","observation_id":"f7cd6611-cf75-4543-859b-10281a767ef8","resolution":{"observed_at":"2026-08-14T13:08:13.241889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.226033Z","title":"Steiner, Complementation in the lattice of T1-topologies, Proc","venue":null,"work_id":"a3e414ad-9c27-439c-b388-e1d62442819b","year":1966},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.149773Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:cc289aea6ac36bb444eb4833d7baf57976d481f5629276ea185c882939c28512","observation_id":"2e5ed2a2-060a-4f06-a303-f0ee13b38a91","resolution":{"observed_at":"2026-08-14T13:08:13.230069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.215120Z","title":"Tkachenko, I","venue":null,"work_id":"ad4e72e8-1146-43c9-bb0b-e2d1ae8dcb93","year":2002},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.154094Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:d2a5b97eb03ed12489afa1d277a796c6c481a8b545ad3451ff0996182189cbfc","observation_id":"af5a4c7f-a5e8-4320-9383-3b2089ead3ef","resolution":{"observed_at":"2026-08-14T13:08:13.218300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.202096Z","title":"Tkachenko, Paratopological and semitopological groups versus topolo gical groups , Recent Progress in General Topology III, Springer-Verlag, Atlantis Press, 20 14","venue":null,"work_id":"53aa3819-9d08-4ed8-b393-4cd78947da60","year":null},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.157251Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:35e446e78cee267997fcadd28f490e0d0c1875bbf5fa5661cfeaca0d2c1bb021","observation_id":"fd4e9e1e-e3b4-4ddc-91af-6e6d78cc04a7","resolution":{"observed_at":"2026-08-14T13:08:13.206944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:08:13.187789Z","title":"Zelenyuk, I","venue":null,"work_id":"fcab0d1f-848e-4e6d-bff3-dbe4f7fa938b","year":2001},"citing_paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:08:13.160667Z"},"links":{"citing_paper":"/paper/1908.06236"},"observation_digest":"sha256:cd38ec39af17837639751a4764934023fe738bd0502062e9c3b4a7c84c12b8b7","observation_id":"ce1b9017-fa20-4e02-bf59-75eddc8f0f0c","resolution":{"observed_at":"2026-08-14T13:08:13.193597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.06236","last_updated":"2019-08-17T04:23:40Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-14T12:50:01.987142Z","submitted_at":"2019-08-17T04:23:40Z","title":"Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":17},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.06236."}