{"as_of":"2026-08-08T10:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ab430bb3c49e99d357f01a44424870cfdbe39decda4bd5771ced61401c7314fe","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:30:22.048279Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2505.21993/citation-record","integrity":"/paper/2505.21993/integrity","json":"/paper/2505.21993/citation-record.json","paper":"/paper/2505.21993"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:30:26.455172Z","title":null,"venue":null,"work_id":"c0882d48-9ff3-4b81-9b5e-f3ab17444333","year":2004},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:19.844758Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:47056696645ef7db60c2a7b1ded65d4efc2c0955f3798f85f93b46bb4eb3b27e","observation_id":"764fe0da-2669-4ba5-9afd-fbd60b80c320","resolution":{"observed_at":"2026-08-07T13:30:26.564752Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:26.085678Z","title":"Borel, Sur la cohomologie des espaces fibr` es principaux et des espaces homog` enes de groupes de Lie compacts , Ann","venue":null,"work_id":"2eec5c8d-3e84-4d84-8ee4-3364f9b32422","year":1953},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:19.994889Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:c62baa4c329db655703d7d6c3bc346dd21d010d169962bbbe073c71962ff81fb","observation_id":"cc9b5a97-bc1a-4ab0-ac18-a4dc7483bbc0","resolution":{"observed_at":"2026-08-07T13:30:26.254745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:25.840961Z","title":null,"venue":null,"work_id":"d9f15024-54eb-4cba-9e1d-a28cab89617a","year":1972},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.092094Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:d2f4c5816ae583823691a7928d11fe6eff9f533c42e4a602a30f22f4e5fc28ee","observation_id":"edee6bf6-034b-4e40-ac04-453af19d4b7a","resolution":{"observed_at":"2026-08-07T13:30:25.934975Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:25.507019Z","title":null,"venue":null,"work_id":"10feb002-5111-4a70-88f0-19459db97aa8","year":2012},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.246208Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:b4f9bf6d5f96446d300d64ab5cc966a5dcea7b4d91288cf5369e7287e70dd47c","observation_id":"9b837858-0b15-4d55-82a7-f69666ce3c30","resolution":{"observed_at":"2026-08-07T13:30:25.674752Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:25.154748Z","title":null,"venue":null,"work_id":"1df0810b-0938-47bd-8574-ab456b0aed2f","year":1960},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.370936Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:b2a22220c32e4ed7eac683f82f521e67c77f1c7c4e81a4016272e543dd9abd29","observation_id":"3bd445f7-01b7-4e12-8eca-6d7a6aa2a46f","resolution":{"observed_at":"2026-08-07T13:30:25.293703Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:24.864733Z","title":null,"venue":null,"work_id":"b6690d29-b7ae-4110-b2a0-62074048e56a","year":2024},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.492678Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:621df337da437e22e43d08a69cf682b5cd89555d6d84a860591b3467f951a576","observation_id":"820b48a9-f987-4250-a71e-349263505805","resolution":{"observed_at":"2026-08-07T13:30:24.985238Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:24.636850Z","title":null,"venue":null,"work_id":"be38afea-982f-41c9-a0c2-8e791eb5c95a","year":2001},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.634753Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:99e9215b4322307478c4a50f569dff90da38e5b1674068b972a7a209543c7ebe","observation_id":"5398a2c1-fba8-494f-9801-33fb2a7d567c","resolution":{"observed_at":"2026-08-07T13:30:24.734904Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:24.284401Z","title":null,"venue":null,"work_id":"11245bb6-d3a9-486e-9309-65a215c543c7","year":2019},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.844771Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:d6d449d8ddc8648cbdedc01360a5f3ef1fd92194ce2fd68960d24923930be545","observation_id":"56a975da-fe9a-4bd2-965d-7e54f154f26e","resolution":{"observed_at":"2026-08-07T13:30:24.376658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:24.170792Z","title":"Kumari, H","venue":null,"work_id":"c5c2a84c-3b25-46ec-8a7b-cc8c7b669229","year":2022},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:20.962836Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:0b8c37cbfe5bb4824d65d4c3f30da3aabb6b1797432ec0cb0e8c49f8bbdc3ef4","observation_id":"2ad5b066-48f7-48c2-86db-c89d2ed0f09c","resolution":{"observed_at":"2026-08-07T13:30:24.213218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:24.018667Z","title":"McCleary, A user’s guide to spectral sequences, Cambridge Studies in Advanced Mathematics, Cambridge University Press, IInd edition, 58 (2001)","venue":null,"work_id":"3ac9e00e-755c-4ba2-980d-31d46527c0e1","year":2001},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.101976Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:4937e9bc2d07d90954d0376c051a72a061f8c221d23dfdbaee6ec9fc5c9794eb","observation_id":"df07cb0d-f063-481f-b579-ada4de658cd0","resolution":{"observed_at":"2026-08-07T13:30:24.084838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:23.884801Z","title":null,"venue":null,"work_id":"fdfd84b3-3f73-4ce0-baed-bee41fd56587","year":2018},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.174751Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:8674ad7eafeb3e5f5b4659220f68cfc5f19ce18876a728bbcf5e523f8d2b2515","observation_id":"1e3a6f9e-6813-45fd-8cf2-23ab5b38f505","resolution":{"observed_at":"2026-08-07T13:30:23.962470Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:23.734294Z","title":"Singh, Orbit spaces of free involutions on the product of two projective spaces, Results Math., 57(1) (2010), 53-67","venue":null,"work_id":"75b91253-b0a8-4da3-ab3b-5697a69b2e51","year":2010},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.294837Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:3ab26fec737749b2d256e8974768b9e667ebea301a259b68ca72bb4d87fa6602","observation_id":"e4f357ff-1a9b-4475-b472-93fb38ed8942","resolution":{"observed_at":"2026-08-07T13:30:23.813625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:23.459404Z","title":null,"venue":null,"work_id":"3d6c6859-cddb-4a0d-a15e-9e958a351c2b","year":1960},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.404425Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:29d74c341d05a8f3afa8ba3ea44a3a60a7d566a1cfeb5e689f92ce18ddc6dfa8","observation_id":"a0dac469-1ad8-4e57-9105-b6a021547a59","resolution":{"observed_at":"2026-08-07T13:30:23.584765Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:23.214745Z","title":"Ozeki, F","venue":null,"work_id":"0eaa6203-79bf-4725-aa49-72a1a462eb1b","year":1972},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.491827Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:38247d49613ddc38ec26cf4fac73697856a5d65400c7dcb93b67a6d51e6e3060","observation_id":"8a32ac60-df83-43d0-8b53-9f0042dd743f","resolution":{"observed_at":"2026-08-07T13:30:23.314777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:22.996863Z","title":null,"venue":null,"work_id":"1568f13e-1004-4898-a57f-50de12ff64a4","year":1969},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.615072Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:1aa4d2f236cd86e8ee1948c2633926f5cc01585c8a163fb9605593d5c3459684","observation_id":"ed20c824-7b54-4550-9e01-f9838a94f77a","resolution":{"observed_at":"2026-08-07T13:30:23.089066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:22.776139Z","title":null,"venue":null,"work_id":"efefdd30-b095-429a-9dff-bb1ba6ef5622","year":1979},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.692630Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:e1af0a6e7da7dd596318575357f104210413bd5ed6a85411629c3ae74a4fbbd9","observation_id":"471ca958-c5a6-4f22-adba-8028dab830b9","resolution":{"observed_at":"2026-08-07T13:30:22.854135Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:22.594746Z","title":null,"venue":null,"work_id":"20f2f68b-66b7-4392-8a9d-05320cf46b1d","year":1974},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.790257Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:43af05912735cfa22a56c3d758f569480b84a8f9baa58afc49b9ea24859c7ff2","observation_id":"75b406d6-75f2-45d2-9302-9799c2bea77e","resolution":{"observed_at":"2026-08-07T13:30:22.672100Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:22.352524Z","title":"Math., 14 (1962), 145-152","venue":null,"work_id":"fa1d2714-05bc-4954-adf5-dfc8f4adf93d","year":1962},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:21.935126Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:3a6304fc8ef89cc5f66228b8f6e4071d6a37771b00a1fe246efe9663bfc18380","observation_id":"4b368cdd-53c5-4194-81ab-90b997f6d4d7","resolution":{"observed_at":"2026-08-07T13:30:22.445305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:30:22.215032Z","title":"Volovikov, On the index of G-spaces, Sb","venue":null,"work_id":"675a6169-c984-4cfc-97da-7e7738a293e1","year":2000},"citing_paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:30:22.048279Z"},"links":{"citing_paper":"/paper/2505.21993"},"observation_digest":"sha256:557110f4f29902671685bc3c2d36920cb36bb2a8ec3c9c3b2a5e02ed5f0b60be","observation_id":"6820f679-3e7d-4c44-b9e3-53b0d110e623","resolution":{"observed_at":"2026-08-07T13:30:22.248309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.21993","last_updated":"2025-06-20T07:21:00Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-07T14:36:31.794178Z","submitted_at":"2025-05-28T05:47:27Z","title":"Free Circle Actions on the Product of Three Spheres"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":19},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2505.21993."}