{"as_of":"2026-08-20T12:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c700dbfd56aa0ec4c1a3bda5e392cf53032d418e8d07751ce24649a1e4ec7e7a","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:13:45.828333Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2608.02785/citation-record","integrity":"/paper/2608.02785/integrity","json":"/paper/2608.02785/citation-record.json","paper":"/paper/2608.02785"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:13:46.135261Z","title":"Knotted 3-balls in","venue":null,"work_id":"13915639-95cb-4254-add1-3d7c68c3b953","year":null},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.755590Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:15dec988ad92e685a68e9f18ffe0f49dddf38414208bfc8a89c7ed4bee15ad98","observation_id":"e32a4c4d-e6ff-4c0d-966c-01d81430f680","resolution":{"observed_at":"2026-08-15T15:13:46.139791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:46.121318Z","title":"International Mathematics Research Notices , volume=","venue":null,"work_id":"0719f866-f238-44c7-8d7a-7d88f89018a0","year":2025},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.760041Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:9f183043e58d9db467eb27712abb183d72a0c922e2499eb26f28e9c92281c069","observation_id":"905a29fb-b4c5-476f-9641-9910e936cf68","resolution":{"observed_at":"2026-08-15T15:13:46.126175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:45.766109Z","title":"Inventiones mathematicae , volume=","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.766109Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:677a79f888012e23031e49492186cf39c574bcafbb5e380bcada37f4d0b5237d","observation_id":"2849b3f7-0c3c-47e4-9294-7fbdc30c26da","resolution":{"observed_at":"2026-08-15T15:13:45.766109Z","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":"2026-08-15T15:13:46.085839Z","title":"2014 , publisher=","venue":null,"work_id":"056df50e-e0e2-449e-a540-2252aa81e1ec","year":2014},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.770107Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:b13d2a4dc97c1f91ca1d44fabc86f46d9c9422e2cab4d319ee7018af90b0e3f9","observation_id":"c7426e60-b0e0-4ac4-82ce-0c6eeb4765b5","resolution":{"observed_at":"2026-08-15T15:13:46.090344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:46.071678Z","title":"New York Journal of Mathematics Monographs , volume=","venue":null,"work_id":"f0914d1b-b38c-475c-9096-aeb06b8cb3e4","year":2025},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.774662Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:1d6d912be091a21036b626cb888e9a3e237d2fc86cd32804143e222cb413a980","observation_id":"27f5fb79-dc49-44bc-a55c-6c5814ff25e0","resolution":{"observed_at":"2026-08-15T15:13:46.078025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:46.056634Z","title":"2002 , publisher =","venue":null,"work_id":"47e9273e-fead-4c37-9322-f2743c0abb80","year":2002},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.779155Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:9b13388b4c796139b609cb1edb9c35ababf03898c902ead834c881883b6da3fd","observation_id":"adb3ddc1-2d77-4f07-b48c-32ab1e4bddd3","resolution":{"observed_at":"2026-08-15T15:13:46.060843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:46.044309Z","title":"Non-isotopic splitting spheres for a split link in","venue":null,"work_id":"dc6dc31d-469d-4f88-8d5b-9759a1b8df7b","year":2025},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.783205Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:6fb5b67c03ec54ee9a986ce4bb852fd24a0e3582a2c354936d01cf939b27be81","observation_id":"a99e709d-d033-4328-b34e-794ea5f34957","resolution":{"observed_at":"2026-08-15T15:13:46.047880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:46.025492Z","title":"Mathematische Annalen , year=","venue":null,"work_id":"079fac20-a33b-4b43-8fbd-ba7d8e95254d","year":null},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.787331Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:5f461cfeecaf1c8d32de21c3ab880153fccd022e856fe1e8b2cd3c818a858f6b","observation_id":"6e20bafe-0c6a-4b59-bdb7-d00cec9d5094","resolution":{"observed_at":"2026-08-15T15:13:46.029787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.20130","last_updated":"2026-04-05T13:54:31Z","snapshot_observed_at":"2026-07-06T22:49:52.077931Z","submitted_at":"2026-03-20T16:54:50Z","title":"Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms","version":2},"cited_work":{"arxiv_id":"2603.20130","doi":null,"metadata_source":"pith","pith_arxiv_id":"2603.20130","snapshot_observed_at":"2026-08-15T15:13:45.916085Z","title":"Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms","venue":"math.GT","work_id":"4db060fc-467e-4e6d-a635-e1ad2b95e078","year":2026},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.790796Z"},"links":{"cited_paper":"/paper/2603.20130","citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:dd3fda814f288a7cb81cb7471a9456c87f175d15909a75cf2018c486c518956b","observation_id":"6a62f466-e477-4e95-b4c0-33dd597e3572","resolution":{"observed_at":"2026-08-15T15:13:45.922020Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.05029","last_updated":"2022-11-29T21:59:38Z","snapshot_observed_at":"2026-08-16T16:25:26.491889Z","submitted_at":"2022-10-10T22:07:48Z","title":"Exotic codimension-1 submanifolds in 4-manifolds and stabilizations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.05029","snapshot_observed_at":"2026-08-15T15:13:45.795250Z","title":"arXiv preprint arXiv:2210.05029 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.795250Z"},"links":{"cited_paper":"/paper/2210.05029","citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:e2cf2152a9ce73a5f4ede0ddc2eba689010817a96c8c4eeb02a904b63ab71d34","observation_id":"212cd943-589d-487b-a6de-2b6e5346825e","resolution":{"observed_at":"2026-08-15T15:13:45.795250Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11821","last_updated":"2025-01-21T01:58:58Z","snapshot_observed_at":"2026-08-16T19:42:28.287653Z","submitted_at":"2025-01-21T01:58:58Z","title":"On the mapping class groups of 4-manifolds with 1-handles","version":1},"cited_work":{"arxiv_id":"2501.11821","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.11821","snapshot_observed_at":"2026-08-15T15:13:45.881264Z","title":"On the mapping class groups of 4-manifolds with 1-handles","venue":"math.GT","work_id":"be1ebf1c-129e-474d-bdb5-ab6f2fa4b91e","year":2025},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.799164Z"},"links":{"cited_paper":"/paper/2501.11821","citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:3b00a789ab5f13d7cdc9e87a43d987dc48af5d2f7a2d4f48dca952f8f1ae67a6","observation_id":"92389ba7-2641-455e-9a3e-c9363131bc12","resolution":{"observed_at":"2026-08-15T15:13:45.887882Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:46.008766Z","title":"Annals of Mathematics , volume=","venue":null,"work_id":"16b380de-155e-4395-8337-17306c0a5f74","year":1960},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.803598Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:f42a1a7ed26f2a0a3ec990103149d9130898f8e775e3292a5217186dea793bcc","observation_id":"6059fcfb-c849-483e-baea-83ccbf275455","resolution":{"observed_at":"2026-08-15T15:13:46.014381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:45.991302Z","title":"Ends of maps","venue":null,"work_id":"7dc3c90b-fac6-4816-b896-dd944aeb14ab","year":1982},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.807986Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:e0200a2733c70bb714d96aeb30254106d98924ac8c4572869792a4b7f454285c","observation_id":"943aa709-5909-44a3-960e-9d083d0290ca","resolution":{"observed_at":"2026-08-15T15:13:45.996805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:45.975739Z","title":"American journal of mathematics , volume=","venue":null,"work_id":"32389661-6b8b-4daa-bc33-82e144b91795","year":2009},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.811812Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:e99399e3ee897ccb6e2dbc81e1e8f20da3f3a32e9eedb5b5344cf101d43e22af","observation_id":"960d1f4a-db30-489f-97d4-d79a196abcf1","resolution":{"observed_at":"2026-08-15T15:13:45.981121Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:45.961332Z","title":"Journal of Pure and Applied Algebra , volume=","venue":null,"work_id":"614112aa-f2ff-46c8-b492-54d5f8fd30ba","year":1975},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.815534Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:aafb0ea033dbfcfffd12730f9c036bb60fdab9affa0a65acd57b809223fb1a53","observation_id":"2a2395aa-1c64-4391-9c67-af82ddb682cd","resolution":{"observed_at":"2026-08-15T15:13:45.965835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:45.945010Z","title":"Splitting 3-spheres for unknotted 2-spheres in","venue":null,"work_id":"95898445-133f-4ef0-b1db-25fc6b44d4eb","year":2026},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.819835Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:2409f25494737d6097d1ee9286283749b1a6ba522c4ef874b042c142c24a179c","observation_id":"b5175ea3-eab1-4693-85f3-6d0b09f7f8a8","resolution":{"observed_at":"2026-08-15T15:13:45.952139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T15:13:45.931382Z","title":"Mathematics of the USSR-Sbornik , volume=","venue":null,"work_id":"c307593d-0114-4e4f-9d01-dd85de78c90e","year":null},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.823915Z"},"links":{"citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:33ad70a6129cb34ef46dca5da22c30236c8c6b29eb60d106dad75fb5a5b29d4f","observation_id":"3ad46d7c-b57d-44ba-bfcd-8b844eb44f33","resolution":{"observed_at":"2026-08-15T15:13:45.935324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.09545","last_updated":"2023-02-23T05:49:01Z","snapshot_observed_at":"2026-08-12T11:54:50.208714Z","submitted_at":"2020-05-19T16:00:30Z","title":"Theta-graph and diffeomorphisms of some 4-manifolds","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.09545","snapshot_observed_at":"2026-08-15T15:13:45.828333Z","title":"arXiv preprint arXiv:2005.09545 , year=","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T15:13:45.828333Z"},"links":{"cited_paper":"/paper/2005.09545","citing_paper":"/paper/2608.02785"},"observation_digest":"sha256:98c9c6271cb3f39e6ea015c8d0dbc1c35daf4e9fa26ae5955868ea6762edad26","observation_id":"f2f9f265-3cf0-4fa2-92ea-5ab52cebcd6c","resolution":{"observed_at":"2026-08-15T15:13:45.828333Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.02785","last_updated":"2026-08-03T18:30:20Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-20T06:48:33.523385Z","submitted_at":"2026-08-03T18:30:20Z","title":"Splitting spheres for $S^2$-links in $S^4$"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":18},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.02785."}