{"as_of":"2026-08-05T10:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:be754c42aeb12285903a0e93ea039fab3a87fc581a5f4f96cb294ed80515687a","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-10T05:04:10.503198Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+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/2607.08631/citation-record","integrity":"/paper/2607.08631/integrity","json":"/paper/2607.08631/citation-record.json","paper":"/paper/2607.08631"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T05:06:48.232914Z","title":"MR0146835","venue":null,"work_id":"5a626352-e12d-42d6-941a-4e2e3f3df918","year":1962},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:053c5ea7ee9fa0983fb97035a73108f0a865a21554ae9a506bb965f35d4493f3","observation_id":"1284c2b0-06c6-40f8-b485-354a6ff7a4d8","resolution":{"observed_at":"2026-07-10T05:06:48.233917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.234486Z","title":null,"venue":null,"work_id":"cfe48451-373d-4b65-a83f-04850e069ebc","year":1965},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:9dea060016c82dda2c4d39e6f6f020249022e990e2f70895358112c92e7bcbb5","observation_id":"a95d5eaf-932c-4822-99d4-c070f596ef50","resolution":{"observed_at":"2026-07-10T05:06:48.235503Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14375","last_updated":"2024-08-26T15:56:04Z","snapshot_observed_at":"2026-07-06T19:06:06.424850Z","submitted_at":"2024-08-26T15:56:04Z","title":"Rigidity theorems for the area widths of Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"2408.14375","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.14375","snapshot_observed_at":"2026-07-10T05:06:47.875114Z","title":"Ambrozio, F","venue":"math.DG","work_id":"3ed66ca7-f556-4001-af3c-e5c58dad0a3b","year":2024},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2408.14375","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:ef9b12e74160f0ed608f207c941e6148ee7d97117bc2b7af1a66e31f9e787175","observation_id":"de098165-721f-44d8-84be-77aa0cbda11e","resolution":{"observed_at":"2026-07-10T05:06:47.876440Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.08710","last_updated":"2019-09-18T21:11:41Z","snapshot_observed_at":"2026-07-06T08:22:55.156176Z","submitted_at":"2019-09-18T21:11:41Z","title":"Ricci flow and contractibility of spaces of metrics","version":1},"cited_work":{"arxiv_id":"1909.08710","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.08710","snapshot_observed_at":"2026-07-10T05:06:47.890361Z","title":"Bamler and B","venue":"math.DG","work_id":"cf1f0e82-df89-4c11-bf2d-a25343c6dcc3","year":2019},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/1909.08710","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:d7e6be1635074d2d8c26791578bec3b715e343f5a433fe03399c3a85ebdd33b3","observation_id":"eb44491e-c2da-45cf-b9a6-f13468934ee9","resolution":{"observed_at":"2026-07-10T05:06:47.891571Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.264850Z","title":null,"venue":null,"work_id":"93e24e47-bbb1-4950-a0a2-81c918d043d5","year":1985},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:3269832430b5b8d46598367c1a40b222adf3fad3f9bd929ceee22d6e496ed908","observation_id":"160a46bd-b73e-4de6-9219-b5edea1594f2","resolution":{"observed_at":"2026-07-10T05:06:48.265917Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.06019","last_updated":"2025-08-08T05:10:32Z","snapshot_observed_at":"2026-08-04T00:42:00.797684Z","submitted_at":"2025-08-08T05:10:32Z","title":"Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature","version":1},"cited_work":{"arxiv_id":"2508.06019","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.06019","snapshot_observed_at":"2026-07-10T05:06:47.882846Z","title":"Chun-Pong Chu,Minimal surfaces with arbitrary genus in3-spheres of positive Ricci curvature","venue":"math.DG","work_id":"5b832bcb-6222-49eb-bddc-6daa1efd3118","year":2025},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2508.06019","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:d259f4038517ed1ca744e345f193eefa3dea8488d3100d165c71f81f050a083d","observation_id":"f50ab3f0-5397-4f48-a553-8853c1f311d3","resolution":{"observed_at":"2026-07-10T05:06:47.884131Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09315","last_updated":"2025-07-31T17:31:16Z","snapshot_observed_at":"2026-07-06T19:15:21.535851Z","submitted_at":"2024-09-14T05:24:48Z","title":"Existence of 5 minimal tori in 3-spheres of positive Ricci curvature","version":2},"cited_work":{"arxiv_id":"2409.09315","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.09315","snapshot_observed_at":"2026-07-10T05:06:47.872684Z","title":"Chun-Pong Chu and Y","venue":"math.DG","work_id":"9db28349-5599-4bd0-aa3e-51dbfb0537cf","year":2024},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2409.09315","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:466edc3954de6ca13a56af8aa27d80c2869527a50a53edff897cdec015c79f58","observation_id":"76a7faa9-fbd1-46a1-82fc-837f034f838b","resolution":{"observed_at":"2026-07-10T05:06:47.873919Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.01736","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T05:06:47.877651Z","title":"Chun-Pong Chu, Y","venue":null,"work_id":"0f269b9d-a579-4e51-9fb2-4f13be2a62ed","year":2026},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:585a62b7fd4570220ec1b8b029683bb5d8762e1ce3705e3432aac02f0ca24d10","observation_id":"c53e556a-d394-4266-9c6a-41f84c6f58f3","resolution":{"observed_at":"2026-07-10T05:06:47.879075Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.23239","last_updated":"2026-04-30T01:26:02Z","snapshot_observed_at":"2026-07-31T20:07:20.491067Z","submitted_at":"2025-07-31T04:34:22Z","title":"Min-max theory and minimal surfaces with prescribed genus","version":3},"cited_work":{"arxiv_id":"2507.23239","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.23239","snapshot_observed_at":"2026-07-10T05:06:47.885447Z","title":"Min-max theory and minimal surfaces with prescribed genus","venue":"math.DG","work_id":"15d30a96-2e54-42d9-a37e-f54166650e7b","year":2025},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2507.23239","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:3210890c1cf1c2d1cf9aa77046d7603ec850bff32b97f1cde3c685cb9bf8cb59","observation_id":"e9ac5da8-bef3-4e9c-a519-37183d4a7b7b","resolution":{"observed_at":"2026-07-10T05:06:47.886729Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.274706Z","title":"Colding and Camillo De Lellis, The min-max construction of minimal surfaces , Surveys in differ- ential geometry, Vol","venue":null,"work_id":"888d4f8d-f322-43a8-981f-5054b25cfdaf","year":2002},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:222b30e8f4054d082515970169e658baa0b26515bc38f5b5c1a6b2fa448bb12e","observation_id":"e1ff35f6-aa0f-4cb4-b2cf-103ebc1f5b1a","resolution":{"observed_at":"2026-07-10T05:06:48.276003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.280078Z","title":"Colding and William P","venue":null,"work_id":"b2bf6b6a-99b9-42ab-84bf-8b1e004c9dac","year":2008},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:acde2d33848ea376a16abcbaa161bf2d12ebe53f48830cefa55b8b22451a4838","observation_id":"5f85ef91-4534-4c52-8af2-487923d48ab6","resolution":{"observed_at":"2026-07-10T05:06:48.281139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.07695","last_updated":"2021-12-02T03:04:22Z","snapshot_observed_at":"2026-07-06T08:51:52.563800Z","submitted_at":"2020-01-21T18:53:58Z","title":"Minimal $2$-Spheres and Optimal Foliations in $3$-Spheres with Arbitrary Metric","version":2},"cited_work":{"arxiv_id":"2001.07695","doi":null,"metadata_source":"pith","pith_arxiv_id":"2001.07695","snapshot_observed_at":"2026-07-10T05:06:47.880305Z","title":"Minimal $2$-Spheres and Optimal Foliations in $3$-Spheres with Arbitrary Metric","venue":"math.DG","work_id":"ce2bc652-12db-4631-bbb9-262dd1e5e84c","year":2020},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2001.07695","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:80362b1fa1c41e638013006d43066ee4531264d346fe09c883001e57ac5cd300","observation_id":"1f4210c2-c625-4501-b960-557a15aadf7a","resolution":{"observed_at":"2026-07-10T05:06:47.881661Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.266505Z","title":"MR02573 25","venue":null,"work_id":"1eab3d02-797a-4bdf-baa7-22b4434d18f2","year":1969},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:632c189d80f74a1a681fe24c6cf0631cdd9ff54177923c473bfcaad266226bed","observation_id":"a027095c-142a-40c9-88a7-7b0e4ce607ab","resolution":{"observed_at":"2026-07-10T05:06:48.267617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.271410Z","title":null,"venue":null,"work_id":"ee934ac0-7b3f-42c3-a452-9cefad9fefb7","year":2024},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:6c2593f1b645bcc0efbfafab892b3d3ba275fd76c489187f09beb8f743e05625","observation_id":"65d6f7ee-2885-4f64-85ad-605899d842b7","resolution":{"observed_at":"2026-07-10T05:06:48.272450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.236058Z","title":"80, Birkh¨ auser Verlag, Basel, 1984","venue":null,"work_id":"8fc2e9e9-79f7-444c-8405-54b19404e59d","year":1984},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:026be2f99c6fbb48acc64ef8639c66e753f4cb8267d03ac8d66cc538a0386440","observation_id":"e376c55c-4e24-413a-bd3f-6a33a896a64e","resolution":{"observed_at":"2026-07-10T05:06:48.237159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.242959Z","title":null,"venue":null,"work_id":"ea432fd3-1af8-4271-bbc6-e40f9184647c","year":1986},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:71dff484f330cbb3dc93b85bbfd73548ed3c5c3259a0c5c64a555772828ee1cf","observation_id":"d3cb4a60-f99d-4e88-a241-9fe813ecce13","resolution":{"observed_at":"2026-07-10T05:06:48.244010Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.269794Z","title":null,"venue":null,"work_id":"c9702327-f5a5-4a69-a2f7-e7686cb867f7","year":2019},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:c5a33b2c1234fd5cb61d16ac94f7071a3f1d63a8ed4402fbe996faf9f7e986fa","observation_id":"a4afc493-3ead-4d83-b38b-dab8f65845fa","resolution":{"observed_at":"2026-07-10T05:06:48.270821Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.278385Z","title":"Hatcher, A proof of the Smale conjecture, Diff( S3) ≃ O(4), Ann","venue":null,"work_id":"b0cdac31-b733-49df-bbd2-f7c10182f6d8","year":1983},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:3bc1568c8c306147c67fae59b5e2eae890c1d0f406b88a13d744409113b4dab5","observation_id":"265cf6f8-474f-4ee1-8745-5864cbeccb7e","resolution":{"observed_at":"2026-07-10T05:06:48.279522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.281684Z","title":"MR1867354","venue":null,"work_id":"d18356d7-5b10-4d61-aec0-708f78fda6f2","year":2002},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:497a8c9285a9c4e9384578f537e9c989eb7b12d9239c668ceb74809daa7dce6e","observation_id":"f2c79de5-50e7-4e0a-9d6d-a305f7cb4910","resolution":{"observed_at":"2026-07-10T05:06:48.282726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.283335Z","title":"Marques, and Andr´ e Neves, Density of minimal hypersurfaces for generic metrics , Ann","venue":null,"work_id":"2d065401-a805-459d-9356-6cffae407669","year":2018},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:f3d0b211c993e6a40b7bca0e8dba7e9cd14c9ae0b1496cbb7d71aaa25daf7a29","observation_id":"b641c4f6-b425-4708-a24f-9ae26a53fc48","resolution":{"observed_at":"2026-07-10T05:06:48.284561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.251175Z","title":null,"venue":null,"work_id":"984d88ad-4f75-404e-8fb1-33cc658d9618","year":2025},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:a27c8ad0e10cedc423c97ee7096acd51626a3085458cb918d9cdb6df735f007a","observation_id":"1ed8dc96-05f2-45a6-a657-a8fdabf41112","resolution":{"observed_at":"2026-07-10T05:06:48.252243Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.252839Z","title":"Marques, and Andr´ e Neves, The catenoid estimate and its geometric applica- tions, J","venue":null,"work_id":"c6606269-d9de-458c-85b9-a795c49e7ca8","year":2020},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:52535740a82cc174c416449022383b287b39e1dedb07f6b0f37706fbce156fce","observation_id":"a9c82a25-e980-4ba2-b663-f1bcc9b99d31","resolution":{"observed_at":"2026-07-10T05:06:48.254063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.256456Z","title":"Reine Angew","venue":null,"work_id":"ef68f7b4-7ae0-4dbc-bd90-89addfc7e7de","year":2025},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:9463971a58ef95cce5cfa22c39318405c90d67d1384d4d5803b510bff0889c32","observation_id":"d7f89671-447d-4ddf-817d-eeda367ae0f6","resolution":{"observed_at":"2026-07-10T05:06:48.257528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.10391","last_updated":"2024-09-16T15:27:07Z","snapshot_observed_at":"2026-08-04T00:41:57.295061Z","submitted_at":"2024-09-16T15:27:07Z","title":"Existence of embedded minimal tori in three-spheres with positive Ricci curvature","version":1},"cited_work":{"arxiv_id":"2409.10391","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.10391","snapshot_observed_at":"2026-07-10T05:06:47.895615Z","title":"Li and Z","venue":"math.DG","work_id":"7028914f-f04c-4455-82e3-4cfa24fa44bc","year":2024},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2409.10391","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:12b9911ce521dcebff0e5a458cd9dd3a69bd23b1fbb8efb33b58efb0a7a4822b","observation_id":"42da4969-125e-4ce2-9586-cb233d103c6c","resolution":{"observed_at":"2026-07-10T05:06:47.896925Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.272988Z","title":"Marques, and Andr´ e N eves, Weyl law for the volume spectrum , Ann","venue":null,"work_id":"10628517-5091-4708-a3e0-cf281e4aa754","year":2018},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:14488fa6173f986888f8d3e7ba695f8581f8474d54b4831003ac3eb560d2c2a9","observation_id":"02a11243-7576-43ca-83c4-b8085f846dd9","resolution":{"observed_at":"2026-07-10T05:06:48.274133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.276575Z","title":"Marques and Andr´ e Neves, Min-max theory and the Willmore conjecture , Ann","venue":null,"work_id":"013e8356-9ac0-4dbf-83f8-be09fa56ca8f","year":2014},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:bc372ea3f3cb8aa48ee6afe0fedb817968886fab6e8042ee0df84b78a39d81ba","observation_id":"8cc4c972-5c0c-4045-ab80-87493084900b","resolution":{"observed_at":"2026-07-10T05:06:48.277809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.259866Z","title":null,"venue":null,"work_id":"16f995f7-2307-4a43-baf7-7b1bb83ad172","year":2017},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:aa64735f98ad990796ad2cb12ee6a9f4d325f14ca5fc0e02f14192e467f445b4","observation_id":"41e6e907-6e97-42ee-bb76-003c3b2cad50","resolution":{"observed_at":"2026-07-10T05:06:48.260920Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.246133Z","title":null,"venue":null,"work_id":"0f1441ba-2abf-484c-a105-f35cc512641c","year":2021},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:47d81d7b7eebbfeea26bb30579fb9e64061f0b96986dc11cbc1d3b44d9841444","observation_id":"8a738708-44e7-44f5-aae2-350fe5a159c8","resolution":{"observed_at":"2026-07-10T05:06:48.247213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.237714Z","title":"Marques, Andr´ e Neves, and Antoine Song, Equidistribution of minimal hypersurfaces for generic metrics, Invent","venue":null,"work_id":"9f139ffc-213d-4584-8449-41aa9a83b88f","year":2019},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:44139110c2adf7310f7ba69b5febb4fbca261da552dbe01fa8f8b80d41b691c5","observation_id":"7d36b345-35e2-43ea-b291-8534b5f6b43b","resolution":{"observed_at":"2026-07-10T05:06:48.238914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.239577Z","title":"Pitts, Existence and regularity of minimal surfaces on Riemannian manifolds, Mathematical Notes, vol","venue":null,"work_id":"682db75c-d3da-4ff9-9de7-b6807fce6d34","year":1981},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:627075df8102fb6e4a0fb2c9bd853f04fa26a1ea4693ad0e8ec617bb8c0c6138","observation_id":"828c39a7-b254-4d99-8e18-327c94a3ce1f","resolution":{"observed_at":"2026-07-10T05:06:48.240730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.241296Z","title":"348, Birkh¨ auser/Springer, Cham, 2023","venue":null,"work_id":"b2f599d6-3357-43f4-b641-ffd6e7b2de50","year":2023},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:978f434e70c989741997f2a0755b0ec8ebd36f0746bf15636e59d0f6507c4f71","observation_id":"f19b8b2c-882f-4207-b5dd-9b6671a8507a","resolution":{"observed_at":"2026-07-10T05:06:48.242405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.249435Z","title":"Uhlenbeck, The existence of minimal immersions of 2-spheres, Ann","venue":null,"work_id":"3593d437-676c-4a76-bfc1-5377a1ad6b76","year":1981},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:7745b3745ad93681479f6bac6d07a0f42150194a3576f6ee4ee32931698d2dc6","observation_id":"72237ad3-16d9-4b8b-b323-835a8543058e","resolution":{"observed_at":"2026-07-10T05:06:48.250608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.231309Z","title":null,"venue":null,"work_id":"fe69a9f3-7bef-4f58-9306-847a4451b463","year":2025},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:cd6e3fd33db3693546e5e3d3b379c9a55c0a04d18b31269e611044021252f461","observation_id":"7917794a-3106-481f-9c22-4db5637da7f0","resolution":{"observed_at":"2026-07-10T05:06:48.232393Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.268193Z","title":"Pure Appl","venue":null,"work_id":"a737cd6b-7614-4164-bfff-4dcddbd03b43","year":1981},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:176f1a3e53926773f8318381ae2a9b319ee31d4b4983060c3047d4ca87b2bf52","observation_id":"e23275fa-f298-4046-b34c-7ea38b886174","resolution":{"observed_at":"2026-07-10T05:06:48.269207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.227730Z","title":"3, Australian Nation al University, Centre for Mathematical Analysis, Canberra, 1983","venue":null,"work_id":"a1e880b1-f6e2-4290-b8fc-5d6862ee0d5e","year":1983},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:add32f1370e932bb259938ebd15332896cec5e8f26d69af2179cf222fa1707fd","observation_id":"6e4d7776-9970-496e-a24c-baffe420d62a","resolution":{"observed_at":"2026-07-10T05:06:48.228927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.229553Z","title":"Smith, On the existence of embedded minimal 2-spheres in the 3-sphe re, endowed with an arbitrary Riemannian metric , Ph.D","venue":null,"work_id":"10489310-f4d3-4401-b9c0-dc2012a15787","year":1982},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:7dd312e86b3a3a7610b3fc2b406ca7cf8700fb2080cfb922692c7e26051cb530","observation_id":"1486d32a-826d-4f20-9597-db64f57d81f7","resolution":{"observed_at":"2026-07-10T05:06:48.230733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.263187Z","title":null,"venue":null,"work_id":"020216ea-aac8-4148-a650-e556495f3de9","year":2023},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:66e97614e783188d13ee191f733ddf209e4765037ff5e1212aa502d5a44a38f5","observation_id":"3d6cfb55-f236-4497-9255-d3f8975a7a8e","resolution":{"observed_at":"2026-07-10T05:06:48.264252Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.03984","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T05:06:47.887782Z","title":null,"venue":null,"work_id":"559c0ed0-e138-4041-b014-e1cbbdb60ea6","year":2026},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:6f02457b5e33d18eec0e04e5374914f67368ce39825e26da27d87baedf2bd0c4","observation_id":"4c6e685a-0aa4-406a-9b07-137c00da2a76","resolution":{"observed_at":"2026-07-10T05:06:47.889181Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.00172","last_updated":"2024-06-17T15:36:02Z","snapshot_observed_at":"2026-07-06T16:00:59.112380Z","submitted_at":"2023-07-31T22:12:08Z","title":"Improved $C^{1,1}$ regularity for multiple membranes problem","version":2},"cited_work":{"arxiv_id":"2308.00172","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.00172","snapshot_observed_at":"2026-07-10T05:06:47.893006Z","title":"Improved $C^{1,1}$ regularity for multiple membranes problem","venue":"math.AP","work_id":"33a405e5-752f-4e29-8bc5-1eab1b45bc15","year":2023},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"cited_paper":"/paper/2308.00172","citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:2f7afe9c79da6bb1aa4027dec33c4e8df07f87b908ea3635080ca21079ee594c","observation_id":"c3dbe3d9-2a37-4fec-a5f1-cf5ce386e099","resolution":{"observed_at":"2026-07-10T05:06:47.894385Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.244573Z","title":"Differential Geom","venue":null,"work_id":"23c2b0aa-c8b2-4a8e-a5a2-46fc25dccf52","year":2025},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:e6253283318c12cca022f93029f3b84adefd11a9a971ad799d9fc0ba02213698","observation_id":"c587bfb8-af2a-45cc-a8c8-ebb9b24db14e","resolution":{"observed_at":"2026-07-10T05:06:48.245596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.258130Z","title":null,"venue":null,"work_id":"a3813cc2-7448-419a-a815-a94655457e1a","year":1987},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:564472adf2a696424a0202543874553eb1d19cd4c6467b80e4ade0f3f5c45bda","observation_id":"0cad47d5-6ae7-4235-8500-f0f1af7dbf86","resolution":{"observed_at":"2026-07-10T05:06:48.259238Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.247814Z","title":null,"venue":null,"work_id":"fd74211f-8085-48fd-9c8b-d3296c80c577","year":1991},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:a153c1ce1d5410c122ca6372398d8fe22627761f53b8e60419dec946eb2869d8","observation_id":"5e6c48c8-ba2e-40c8-bdba-f5a7394fb253","resolution":{"observed_at":"2026-07-10T05:06:48.248884Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.261514Z","title":null,"venue":null,"work_id":"35ab6a0f-c41d-46e5-9fb3-f6e859b71bd7","year":1982},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:a08c4df9d70718954699c6c3df9b8f8cb26e44c5c17ac185de6e95e5f7472dcd","observation_id":"a78cbafc-f130-49e0-be85-0b83142dd015","resolution":{"observed_at":"2026-07-10T05:06:48.262597Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-07-10T05:06:48.254658Z","title":null,"venue":null,"work_id":"aa2d9b6a-9b50-4f6e-b0d2-5ddf00dbeaa1","year":2020},"citing_paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-10T05:04:10.503198Z"},"links":{"citing_paper":"/paper/2607.08631"},"observation_digest":"sha256:fcacd78f6251fb954e72af1d2322763f80fe9c874fa3a0a06cf3ecdf2788eb0f","observation_id":"02811478-8376-4961-b8e7-b8b309d5adf2","resolution":{"observed_at":"2026-07-10T05:06:48.255828Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.08631","last_updated":"2026-07-09T16:01:30Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-07-12T23:18:53.842039Z","submitted_at":"2026-07-09T16:01:30Z","title":"Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":14,"verified_exact":7,"verified_fuzzy":20},"total_outbound_references":44},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.08631."}