{"as_of":"2026-08-13T08:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eb5b8b390c659a5975176974c7e9bdac9e5cd2cd8e3292e2cd9285be2940d462","coverage":[{"denominator":95,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":95,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T14:57:32.388237Z","state":"measured"},{"denominator":95,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":95,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2507.17557/citation-record","integrity":"/paper/2507.17557/integrity","json":"/paper/2507.17557/citation-record.json","paper":"/paper/2507.17557"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/proc/17084","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Stability and finiteness theorems for Wasserstein spaces","venue":"Proceedings of the American Mathematical Society","work_id":"41bc5310-e261-4427-9db0-b623aeb21a94","year":2025},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.908017Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:76a6ca1a46d02d2ce2ebdc2abf5c332a91c8ab171bd3fce3e350e8b8a373d3b5","observation_id":"8dce0003-a0be-4d4f-b025-4cb82bc25db7","resolution":{"observed_at":"2026-08-06T14:57:33.241307Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:31.913842Z","title":null,"venue":null,"work_id":null,"year":1948},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.913842Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:99faea47588b0423f68f3caa17381716d78134a7cdb76bea1e98ee93835ca9d6","observation_id":"ad202496-d8d4-4732-98e4-8ee457d4fc83","resolution":{"observed_at":"2026-08-06T14:57:31.913842Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:31.918857Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.918857Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:4ae620d8e0557ab585cef6a62158bc41bf44d5726fc99d9caae8d3e3f6fff942","observation_id":"6c46111e-fc55-46e1-b2bc-de416ef997c4","resolution":{"observed_at":"2026-08-06T14:57:31.918857Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:31.928414Z","title":"Cellular decompositions of3-manifolds that yield3-manifolds","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.928414Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:774d6c1b79bb78c9da2f87428867b526571f54d5482c4c2dcd2921250f5f1d7a","observation_id":"962c8c60-5875-4bff-a3f8-576c88321a31","resolution":{"observed_at":"2026-08-06T14:57:31.928414Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:31.933360Z","title":"Approximating varepsilon-homotopy equivalences by homeo- morphisms on 4-manifolds","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.933360Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:bb883f5761ed61ada845c1780701f5dc5a096229ec5fb856ff4ee9ae42b54a6d","observation_id":"8a047aba-4750-4447-96c6-be77d099b5fc","resolution":{"observed_at":"2026-08-06T14:57:31.933360Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:31.938678Z","title":"The disc embedding theorem","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.938678Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:7b5ccb5d642dabaf091e32cb197350df55059bca83faac0d4f5a0e82ec1c08fc","observation_id":"ba25482d-2e27-410c-8a00-e52947ac9731","resolution":{"observed_at":"2026-08-06T14:57:31.938678Z","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":"10.1090/s0002-9904-1949-09298-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:33.220566Z","title":"A convex metric for a locally connected continuum","venue":null,"work_id":"5cb8c4cf-8e2d-4ca6-8824-9acc87c6649d","year":1949},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.943692Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:5cffe16b789133116bb08b7f5f877c319e582decce886eb4cd98413dd08a482f","observation_id":"1b5cd7da-dc40-4aec-a62b-bda6af7cec71","resolution":{"observed_at":"2026-08-06T14:57:33.225296Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0002-9904-1949-09298-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Bulletin of the American Mathematical Society","work_id":"5fd756ae-5071-4560-9a7d-2d59302913fd","year":1949},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.948575Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:7a7dec392854ed4913ad85703bc31f0762815a93b104b6707b9929e17467e42f","observation_id":"a18a7624-13cf-4115-bb81-c3052e29e42c","resolution":{"observed_at":"2026-08-06T14:57:33.210378Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0002-9904-1952-09621-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Partitioning continuous curves","venue":"Bulletin of the American Mathematical Society","work_id":"e23b746a-4d73-49ee-8792-0252f7dadfea","year":1952},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.953717Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:7f89e01ec6b1db554c286813fbcb831bdf3bb0ef5fb98b1cf9312a6d2e61a411","observation_id":"359f1232-ef4a-4867-ac98-976bca0a2c60","resolution":{"observed_at":"2026-08-06T14:57:33.194096Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00222-002-0233-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Quasisymmetric parametrizations of two-dimensional metric spheres","venue":"Inventiones mathematicae","work_id":"b0f33e6e-9057-45eb-9b9b-e9d84faa5558","year":2002},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.959049Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:90be90df30ecfc5d1c29204eadc89a0728989eca728097b2ffec1f51242446c4","observation_id":"fdda7c61-9794-4df8-9dfb-e8096d18638b","resolution":{"observed_at":"2026-08-06T14:57:33.179344Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:31.964599Z","title":"Theory of retracts","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.964599Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b6595cd601b44a83c9966aacc5b3dad25fd5bd9f8061b79c4ee88bbb35ef3c35","observation_id":"7c8664f5-4c8b-4afd-9f08-a67ab9b1c301","resolution":{"observed_at":"2026-08-06T14:57:31.964599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.03839","last_updated":"2024-05-06T20:42:06Z","snapshot_observed_at":"2026-08-13T00:13:37.240994Z","submitted_at":"2024-05-06T20:42:06Z","title":"Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.03839","snapshot_observed_at":"2026-08-06T14:57:31.970117Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.970117Z"},"links":{"cited_paper":"/paper/2405.03839","citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b0a2884b1a68e2e88ee0832806b08feebb432ba818a536bcb76ceb050cce939b","observation_id":"c876051b-5b0f-41d6-a200-2936a5ca33b9","resolution":{"observed_at":"2026-08-06T14:57:31.970117Z","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":"10.4007/annals.2024.200.2.8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Erratum: “Topology of homology manifolds","venue":"Annals of Mathematics","work_id":"28c0ca18-d159-49bd-801a-cd4edaf41929","year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.976031Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:9f3f5e82c4aa6478a911110aebe53dcc33daf8184166767399eb1a920cd75f38","observation_id":"40431afd-fad4-49c3-a704-2b9e69357b47","resolution":{"observed_at":"2026-08-06T14:57:33.163021Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2118532","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Topology of homology manifolds","venue":"Annals of Mathematics","work_id":"86e10939-4c0e-4fb3-a431-29b2bc4392c7","year":1996},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.981638Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:1156b5f4a086bcbe846b0cff61ac2cbedd8220fa8d0db3e36ce4cafbbe5b0e2c","observation_id":"b214d2cd-9036-4bb4-8f92-2068d4f76d21","resolution":{"observed_at":"2026-08-06T14:57:33.143140Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:31.986875Z","title":"Resolving zero-dimensional singularities in generalized man- ifolds","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.986875Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b86cc32fc9670f8d549449f559f1766722e479874d810b8188a6edaf32b94af7","observation_id":"c8ec09ff-2714-4d40-88ba-a29cb8c740a2","resolution":{"observed_at":"2026-08-06T14:57:31.986875Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:31.991620Z","title":"The structure of generalized manifolds having nonmanifold set of trivial dimension","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.991620Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:95222abc007d2bb028abf976009805344cb5471e9078629b5ae0292b4f77ea43","observation_id":"7d008481-87d3-45d5-9e0b-143feae9378e","resolution":{"observed_at":"2026-08-06T14:57:31.991620Z","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":"10.1512/iumj.1992","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:33.122071Z","title":"Approximating compact inner metric spaces by surfaces","venue":null,"work_id":"ca646095-f318-41e0-9b20-790db6700ffd","year":1992},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:31.996319Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b1ac00cfef05f9759c15bff108ce6b2306ac0674d8ae6ea1e769bedfad9d6eeb","observation_id":"348f27b9-ac6d-4284-af87-4e7f298136fa","resolution":{"observed_at":"2026-08-06T14:57:33.127245Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.001618Z","title":"Existence and uniqueness of optimal transport maps","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.001618Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:7fa65db854d3fde80e7360c18140b5f15463fd209b71a37bd077a11383cddc94","observation_id":"ddce1988-d5e0-4dea-b88a-5df147f71065","resolution":{"observed_at":"2026-08-06T14:57:32.001618Z","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":"10.4171/156","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"EMS Series of Lectures in Mathematics","venue":"EMS series of lectures in mathematics","work_id":"56cb7138-27e1-4736-9220-aa6755195237","year":2016},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.006672Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:7b43a5b08134e09c632d8bb097f4bd4d40c695e40fd8a095bec8e58b9bb7d1c5","observation_id":"4c797542-3c0f-4a53-ad1a-e0573e08e70c","resolution":{"observed_at":"2026-08-06T14:57:33.099997Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1999603","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Controlled boundary and h-cobordism theorems","venue":"Transactions of the American Mathematical Society","work_id":"8e9b5355-4530-4643-b0b5-21edc8a38918","year":1983},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.012705Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:e700a73d48934cd17a144fb5b153bd18b60d8b795d769f49fa171c1306ab4e35","observation_id":"e7ee7136-23c5-4e61-81ed-56f43f7e2b9c","resolution":{"observed_at":"2026-08-06T14:57:33.085082Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2373799","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Approximating homotopy equivalences by home- omorphisms","venue":"American Journal of Mathematics","work_id":"41a9f73e-6f7d-4f97-acdb-d336fb38fd54","year":1979},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.018317Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:c0437bdbce6ea2dbbad92de8628e01e23b82bb028d3d776df2d66e6280e31ae5","observation_id":"fde4ba8d-324c-4751-9f99-6aeef8fa60b3","resolution":{"observed_at":"2026-08-06T14:57:33.069566Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.023311Z","title":"On the structure of spaces with Ricci curvature bounded below. I","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.023311Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:a609249637c7291171e1a047433834d98a3f41e58a8f1f2c3a72f7559dc42ebc","observation_id":"185a5557-3ab9-48c7-8395-85d32a320d00","resolution":{"observed_at":"2026-08-06T14:57:32.023311Z","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":"jdg/1214342","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:34.659694Z","title":"On the structure of spaces with Ricci curvature bounded below. III","venue":null,"work_id":"31fc0e5c-7233-47cc-815a-ea489fe4d826","year":2000},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.032744Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:dd3e6bd009e6c3500777c1c1ab824702712b26d30031f33873edd2f1bc99087b","observation_id":"0464c294-d3fc-4171-a9ce-bc551009ea89","resolution":{"observed_at":"2026-08-06T14:57:34.671809Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.038646Z","title":"Applications of Surgery Theory to Geometry.Thesis(Ph.D.)–University of Florida","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.038646Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:9372da0f5a5e097312a5274ef1b2433dafae383b5638e4de6f88969cbc6fb864","observation_id":"1d3b3053-6575-423c-b1df-5ac45782721d","resolution":{"observed_at":"2026-08-06T14:57:32.038646Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.044659Z","title":"Detecting the disjoint disks property","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.044659Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:bb16c0380cb7917cc9e2a66bf935c1332687d25dce808945c690f3ecfdf65a5b","observation_id":"bd556241-7c48-4f56-a61e-3a6ab8d82fbd","resolution":{"observed_at":"2026-08-06T14:57:32.044659Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.049947Z","title":"A ghastly generalizedn-manifold","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.049947Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:6c042b31ac8323884ec7fda1e2f38efdd65089262cb74786f462b2fbb086373b","observation_id":"f9cdd960-d457-4643-b3d8-95560a8ee746","resolution":{"observed_at":"2026-08-06T14:57:32.049947Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.059251Z","title":"The orientation of Yang-Mills moduli spaces and4-manifold topol- ogy","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.059251Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:5c2493fc878e352a787c22c24f8283dc39147cdfdc314d9ed86e21dc88d95bbc","observation_id":"aace3f4a-93ea-4718-8af2-a1e8833b327b","resolution":{"observed_at":"2026-08-06T14:57:32.059251Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.06351","last_updated":"2025-01-10T21:23:11Z","snapshot_observed_at":"2026-08-10T21:02:09.016562Z","submitted_at":"2025-01-10T21:23:11Z","title":"Convergence of Riemannian 2-manifolds under a uniform curvature and contractibility bound","version":1},"cited_work":{"arxiv_id":"2501.06351","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.06351","snapshot_observed_at":"2026-08-06T14:57:34.384192Z","title":"Convergence of Riemannian 2-manifolds under a uniform curvature and contractibility bound","venue":"math.MG","work_id":"39441afb-8f1e-4fab-bf8c-1c0e1730319d","year":2025},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.064018Z"},"links":{"cited_paper":"/paper/2501.06351","citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:2e65a5124dae5ff37a847ed963b9085f30c50a9f99e1bacd78f20e2540656685","observation_id":"cdac7fcd-1925-4a1d-9561-0c4a3fcb5468","resolution":{"observed_at":"2026-08-06T14:57:34.390522Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/agms-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:33.050141Z","title":"Gromov-Hausdorfflimitsofclosedsurfaces","venue":null,"work_id":"68083e2b-2aba-4f74-a6e3-39dfcfb84da4","year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.069830Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:aba5d485722b6cef058ae9fe54050863c979e5d7ed25670f59088c86c2786fde","observation_id":"2358154d-172d-4ae7-b9db-8b6d038926a0","resolution":{"observed_at":"2026-08-06T14:57:33.054584Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10455-024-09973-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":"On the Gromov-Hausdorff limits of compact surfaces with boundary","venue":"Annals of Global Analysis and Geometry","work_id":"3299b591-3150-413f-8f22-33fb1a7c4897","year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.074702Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:fe4b88f4f9085cb52172e911920c9212ba406387276ada63cc3041a1274e8383","observation_id":"19d8b6f2-7d6c-4eb6-8e66-173161d0e30a","resolution":{"observed_at":"2026-08-06T14:57:33.038643Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1070/rm1988v043n04abeh001900","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Homological dimension theory","venue":"Russian Mathematical Surveys","work_id":"068c75e8-bb7e-4c19-8b9b-69d14fc469f1","year":1988},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.079270Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:f84e6356f39df83ba199b8618184319934d8c2f0a989fda04f23792bf9c526b5","observation_id":"81ae0c41-1ee4-4429-a778-21316818ea59","resolution":{"observed_at":"2026-08-06T14:57:33.023538Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1070/sm1989v063n02abeh003290","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"OnaproblemofP.S.Aleksandrov","venue":"Mathematics of the USSR-Sbornik","work_id":"8eb83081-373a-4936-ad17-d09a1cb55910","year":1988},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.084234Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:0586491ff32736014565cfae074b134c6fbb856389f53cc9e502db28a5604fe7","observation_id":"03ce92cb-bf99-4a95-bf33-9c629d24ab43","resolution":{"observed_at":"2026-08-06T14:57:33.006936Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/cjm.2020.v8.n1.a2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"An infinite- dimensional phenomenon in finite-dimensional metric topology","venue":"Cambridge Journal of Mathematics","work_id":"afedff43-ec97-4c23-96e1-cfd318002298","year":2020},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.088852Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:342aedb17c61d05b67ccd7551a65307cea727e7e95f231b9f4e651dcb86290e8","observation_id":"5822f051-267a-4ff1-84ca-37eba1cddc0c","resolution":{"observed_at":"2026-08-06T14:57:32.988666Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0040-9383(93)90040-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Infinite-dimensional compacta having cohomological dimension two: an application of the Sullivan conjecture","venue":"Topology","work_id":"5440142d-30c3-4f86-b9eb-4cf074be39ef","year":1993},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.093490Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:90aaa7f5dcf82cbbb4d6a215f2c94accb43d822f2b2affeeb71fa9b131b05ab7","observation_id":"908ab904-5795-46bd-8235-e3075ce4849e","resolution":{"observed_at":"2026-08-06T14:57:32.972840Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.098290Z","title":"The topology of manifolds and cell-like maps","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.098290Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:fa8534db09b98578dd71acc52d22e0a328e0a54196d955a892c869863ce4bb5f","observation_id":"964011c8-c239-4b41-8270-0cf9c338359e","resolution":{"observed_at":"2026-08-06T14:57:32.098290Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.102943Z","title":"Thesis (Ph.D.)– State University of New York at Binghamton","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.102943Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:3539ba2ead1db42f9ee58dd7da107b022a037bd987a128f0710a7b4419578c20","observation_id":"81e4001a-ffeb-43f2-8e30-88036c9ff23c","resolution":{"observed_at":"2026-08-06T14:57:32.102943Z","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":"10.1016/s0040-9383(98)00080-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Limits of polyhedra in Gromov-Hausdorff space","venue":"Topology","work_id":"c2afc33f-1bda-48f5-9ce5-f07c52438c12","year":1998},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.107496Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:3f926fcd938126600cf90cb38471043db464ddf0a637a053c6dabb35b38afc07","observation_id":"faa064e4-2fbe-4b4f-88d7-2a4424182bd8","resolution":{"observed_at":"2026-08-06T14:57:32.955752Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1215/s0012-7094-94-07404-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.932991Z","title":"Topological finiteness theorems for manifolds in Gromov-Hausdorff space","venue":null,"work_id":"6a7499e6-2104-4a1d-a84f-0819a7c2122d","year":1994},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.112055Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:252882f9c78b4bebd9aca9abd4408aaed9b17cb34e139ca68b0c402100252128","observation_id":"23920449-53f0-4542-96ed-a588cce8024e","resolution":{"observed_at":"2026-08-06T14:57:32.939525Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2161004","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Approximating topological metrics by Riemannian metrics","venue":"Proceedings of the American Mathematical Society","work_id":"4278457b-f87e-4652-844a-e58bc4f39a0b","year":1995},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.116453Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:381eeea298b25bb3a81f55b8ebb44859f18b128fa17197ae07c2ea8befa798c7","observation_id":"77252978-4f66-4505-9fef-59fa7573cb22","resolution":{"observed_at":"2026-08-06T14:57:32.921274Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01232272","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Curvature, tangentiality, and controlled topology","venue":"Inventiones mathematicae","work_id":"6ab61501-8f6c-4426-b46b-57df6d7e69ce","year":1991},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.121492Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b7a95cc1b51738927aebee1f40cf63f0aea5cec2e03fcad86bcdd673dab63e2a","observation_id":"9c48239e-53d0-4a16-8925-f77ec75bdab7","resolution":{"observed_at":"2026-08-06T14:57:32.901871Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.126259Z","title":"Freedman and Frank Quinn","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.126259Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:81e42c773694ff44f32500a654f9ccbf85c6565f5cd032c542dba3fefd2afb87","observation_id":"f6826322-9b5f-45a9-9456-33140599b975","resolution":{"observed_at":"2026-08-06T14:57:32.126259Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.131088Z","title":"The topology of four-dimensional manifolds","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.131088Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:80ac022ee4612ecf8bd5b1bc5990feb0fc9f2e4c959b8c7e8246af1f0176358b","observation_id":"c43147dd-2aa1-4c64-b8fa-a31527069ca1","resolution":{"observed_at":"2026-08-06T14:57:32.131088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.07372","last_updated":"2024-01-02T18:21:49Z","snapshot_observed_at":"2026-08-10T16:26:47.795582Z","submitted_at":"2019-10-16T14:27:42Z","title":"A survey of the foundations of four-manifold theory in the topological category","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.07372","snapshot_observed_at":"2026-08-06T14:57:32.135512Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.135512Z"},"links":{"cited_paper":"/paper/1910.07372","citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:607b11c0454ed0352dce58bcea8123a1945f797a7984e0f38b7bf6c9e50148a5","observation_id":"20e93e1a-1a54-4c01-9b65-5d477f2398da","resolution":{"observed_at":"2026-08-06T14:57:32.135512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14587","last_updated":"2025-08-11T02:42:11Z","snapshot_observed_at":"2026-08-13T00:24:18.356016Z","submitted_at":"2024-04-22T21:26:45Z","title":"Alexandrov spaces are CS sets","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.14587","snapshot_observed_at":"2026-08-06T14:57:32.140812Z","title":"Alexandrov spaces are CS sets","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.140812Z"},"links":{"cited_paper":"/paper/2404.14587","citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:0f88153c44e26fdba27c866e8f0652b8cccde95b46b77923c6adc8f501adfc77","observation_id":"92967045-2df6-4762-8fb3-e03b01f560e2","resolution":{"observed_at":"2026-08-06T14:57:32.140812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.14455","last_updated":"2026-06-01T14:32:08Z","snapshot_observed_at":"2026-08-07T16:00:51.300063Z","submitted_at":"2025-04-20T02:18:06Z","title":"Topological regularity of Busemann spaces of nonpositive curvature","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.14455","snapshot_observed_at":"2026-08-06T14:57:32.145859Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.145859Z"},"links":{"cited_paper":"/paper/2504.14455","citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:8398157876b28ade60dca6fb0d2bfba2c610ae020254a64c9c8394cb5f5994dc","observation_id":"560c32fe-4d95-4332-b763-a0315129bbe1","resolution":{"observed_at":"2026-08-06T14:57:32.145859Z","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":"10.1016/j.jfa.2018.06.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On quo- tients of spaces with Ricci curvature bounded below","venue":"Journal of Functional Analysis","work_id":"493302a1-0b7a-46b5-9ceb-9fc34caedb4a","year":2018},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.150915Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:f5578c048425ee85ce372d93770762f1bec2312d7543287e3f2d8cacb73be0bb","observation_id":"06faf839-2b1d-4b51-8e79-8f7890008ad6","resolution":{"observed_at":"2026-08-06T14:57:32.885296Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10455-020-09716-7.url:","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.863897Z","title":"Cohomogeneity one Alexandrov spaces in low dimensions","venue":null,"work_id":"c4b6cc77-7e37-450e-bb64-eb701dd32a5d","year":2020},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.155972Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:5011e110ed1e827bac245abe7ce11b500713f8120b8e287f711d547896a0f3fe","observation_id":"400f9188-e7ea-4062-bfa4-34582fd2b608","resolution":{"observed_at":"2026-08-06T14:57:32.869129Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.161779Z","title":"Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.161779Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:fa831b225589f9d2908e85e7bb0f44625555e4708f2b1649a2072e6039e95ece","observation_id":"581cbc71-34e6-4b41-ba57-6aa21a18c5eb","resolution":{"observed_at":"2026-08-06T14:57:32.161779Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.177464Z","title":"Geometric finiteness theorems via controlled topology","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.177464Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:72f727d93579249818b9b5c8973d3599481655cddc16764f21f2081bf440bdf5","observation_id":"9374abe3-7166-4530-9cd6-7e5bc9deba85","resolution":{"observed_at":"2026-08-06T14:57:32.177464Z","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":"10.1007/bf01245073","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Erratum: “Geometric finiteness theorems via controlled topology","venue":"Inventiones mathematicae","work_id":"83666631-1a24-4deb-8bbf-aadd8b2eceba","year":1990},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.172003Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:69e95186a8c6fa43a4697ec29825f8a2ef20a63304e23e82ad6a81673992be6b","observation_id":"461637df-b666-41e1-82bd-dc9d12363672","resolution":{"observed_at":"2026-08-06T14:57:32.834751Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.topol.2018.02.024","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"The relationship of generalized manifolds to Poincaré duality complexes and topological manifolds","venue":"Topology and its Applications","work_id":"12a936e9-f774-4798-a2b3-56279d14d327","year":2018},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.186576Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:a552ca2eff3bd7096764639131e6f71da360cfb6c1d5bf47768af9b09257ef13","observation_id":"48cfb91f-612b-4bb8-b1e7-15ce1b82605d","resolution":{"observed_at":"2026-08-06T14:57:32.806482Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:35.031893Z","title":"MetricconstraintsonexoticspheresviaAlexan- drov geometry","venue":null,"work_id":"64420887-65a6-429f-b853-88af826cb766","year":1997},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.182032Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:23d042293f58d3b2022e456656a55f04a040c9f7b2b398bc2fb4c4882e136e92","observation_id":"35bd457e-20df-43a3-9fc3-41f36d0a00d0","resolution":{"observed_at":"2026-08-06T14:57:35.037173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2044491","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Cell-like mappings between CS sets","venue":"Proceedings of the American Mathematical Society","work_id":"914fe881-7f5f-45ae-b44d-12e05c0a8193","year":1984},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.195527Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:d543854308bb7b2b82d159ca4150e84f3fdd534e9549c738ae2c6785b1f71545","observation_id":"ffddbf96-e49e-4d00-b9e0-e2a7834b9325","resolution":{"observed_at":"2026-08-06T14:57:32.773939Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00009-022-02250-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Limits of manifolds in the Gromov- Hausdorff metric space","venue":"Mediterranean Journal of Mathematics","work_id":"e8b1f2a8-855d-46a7-b028-45bc609d2469","year":2023},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.191123Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:4863962781c9dbbdbcff834fec85cade817fdeacd9e64d8ef2a5b17ff7075d49","observation_id":"4a2f1c83-63e7-41b6-8694-c68a218e59e7","resolution":{"observed_at":"2026-08-06T14:57:32.790332Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00039-002-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.735059Z","title":"Regularity of limits of noncollapsing sequences of manifolds","venue":null,"work_id":"8e541e33-bde2-429e-89a7-686ac15f02f0","year":2002},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.205648Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:a717eb3a4bf1a5fad178164c25029bb810f2a1a592ddfef7e0c24084798e05d5","observation_id":"461f13a2-86f8-4d5a-8799-2f8c25a394eb","resolution":{"observed_at":"2026-08-06T14:57:32.739862Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4153/cmb-1994-073-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A characterization of LCn compacta in terms of Gromov- Hausdorff convergence","venue":"Canadian Mathematical Bulletin","work_id":"8cb5ac57-8650-4763-8790-e1206bda935d","year":1994},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.214936Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:f4302468ef159f66abc9395d9b7255a7b781a416e15d39077962cbc7f2606d1b","observation_id":"77ed8857-320a-47c5-9085-d78520a54685","resolution":{"observed_at":"2026-08-06T14:57:32.707704Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-004-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.718502Z","title":"Restrictions on collapsing with a lower sectional curvature bound","venue":null,"work_id":"e4ad2d7f-633f-49b7-9b7b-11f89e40bfb8","year":2005},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.210481Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:17315ee7c5130e0aef5c4b9c9dbedf57f40fe369a90b6a5728c8f09a46641570","observation_id":"ba68d448-9bba-4cb7-af3d-464f5de5692d","resolution":{"observed_at":"2026-08-06T14:57:32.723677Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:35.009987Z","title":"Kirby and Laurence C","venue":null,"work_id":"0e4a8cf4-8800-4bb4-9fdc-c1e0b0b8e665","year":1977},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.224083Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:d1dd6a6fed1ba66dbcb15a5dd1e5827e4f2219b8f588c53c20e98a888536a515","observation_id":"2cdd031b-71a8-4a6f-8408-13b22899e8e2","resolution":{"observed_at":"2026-08-06T14:57:35.015957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.aim.2017","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.687198Z","title":"Transport maps, non-branching sets of geodesics and measure rigidity","venue":null,"work_id":"96bd8a50-5f94-4a15-9a49-92cf1c1cf6fc","year":2017},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.219470Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:579bbfcb2d4e930c4bd01ccb7825031c68dfcf16b0fa371c9a5271b453ae8f26","observation_id":"6c2bba0d-a1ac-439d-b058-ace869640630","resolution":{"observed_at":"2026-08-06T14:57:32.692314Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"pjm/1102978","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:34.296288Z","title":"Cell-like mappings. I","venue":null,"work_id":"0943f74b-7075-414b-a8dd-91b48a1f8f6c","year":1969},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.233334Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b61a7a604ac210ad5700b5482e219f30d97f26b100af84779ce0a770a2f0e24f","observation_id":"8dbaa125-ed1e-4fe4-8777-cb76be97b051","resolution":{"observed_at":"2026-08-06T14:57:34.306452Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/advgeom.2010.049","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On the local structure and the homology ofCAT(κ) spaces and Eu- clidean buildings","venue":"Advances in Geometry","work_id":"504de4a9-b694-4639-9362-851ccaf0aed1","year":2011},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.228654Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:e5e63afe8b2ee019b77a911ee2f73ce58c1c3a64fd4324b1ec2774df75a8a081","observation_id":"047cc118-149b-4066-af80-57f1a007a2ed","resolution":{"observed_at":"2026-08-06T14:57:32.676238Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.242702Z","title":"Ricci curvature for metric-measure spaces via optimal transport","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.242702Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:5e3ed968d8b4cdf2b558d7c8375297e9c7456aa942c71cec44bd6817f2937528","observation_id":"978be1da-1093-439b-8b8b-5202624d16e1","resolution":{"observed_at":"2026-08-06T14:57:32.242702Z","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":"pjm/1102971","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:34.121720Z","title":"Cell-like mappings. II","venue":null,"work_id":"74aa168f-0f56-44ca-a854-31238087cb1c","year":1970},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.238233Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b8c7619be858f70dd6c466e7271fdd8ebfb2163e75c7888e76fac684f0a79c43","observation_id":"0888e97f-bdd3-4340-98af-3a2d6edcc2a5","resolution":{"observed_at":"2026-08-06T14:57:34.129493Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/gt.2024.28.3285","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"CAT(0) 4–manifolds are Euclidean","venue":"Geometry & Topology","work_id":"e58eaa7a-e8cf-471c-b146-b5e8646a55da","year":2024},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.257018Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:61679be67376d25678b0c4f53b5512e5c8747547db68b9f760bbdea1c86be248","observation_id":"94a9291e-47cc-4ace-9623-88469c94e6a0","resolution":{"observed_at":"2026-08-06T14:57:32.633004Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:34.990823Z","title":"Topological regularity of spaces with an upper curvature bound","venue":null,"work_id":"f8207e8d-960b-4707-8eda-a41841c5bb30","year":2022},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.247293Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:6037dd50cfa3f0b6dd5fdddf75571c55aa02fcca7d1fb5bc3301b4b9be2c9563","observation_id":"22b095eb-bfb1-4c0c-af9b-708e587a48ba","resolution":{"observed_at":"2026-08-06T14:57:34.997224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.266827Z","title":"Noncollapsing examples with positive Ricci curvature and infinite topo- logical type","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.266827Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:030e4caf003d1adb7f6bd894f15258818e7700b552c54cbb6f01373e1c0665b5","observation_id":"fbfd416d-2033-4af4-af8d-0d9797344226","resolution":{"observed_at":"2026-08-06T14:57:32.266827Z","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":"2026-08-06T14:57:34.973344Z","title":"Differential topology forty-six years later","venue":null,"work_id":"8ebef0e2-6227-4e61-a9e5-4179cc9247dc","year":2011},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.271516Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:43d68cc32b184aa4572725256c4798567f349462e7f04fabeda6114900beb250","observation_id":"660b1772-a86b-4892-a533-8a4de2faa9ad","resolution":{"observed_at":"2026-08-06T14:57:34.978503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.261751Z","title":"Canonical parameterizations of metric disks","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.261751Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:943fb1251ba3b6ccfb58e0950753bb0052a8c357f737a2421726e4801b754ab4","observation_id":"b0d28d06-80d9-40af-b424-d42006867519","resolution":{"observed_at":"2026-08-06T14:57:32.261751Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0273-0979-1991-15980-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Bounded curvature closure of the set of compact Riemannian mani- folds","venue":"Bulletin of the American Mathematical Society","work_id":"7fc547a7-25fd-4f7d-a900-927d2f992ecc","year":1991},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.280971Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:4173f99da90383830fb86bc066650fe5913d55a9de9fecfb0ccbf4d840a94347","observation_id":"0f07d6dc-6f3d-4ef8-8b04-0df54204a4cd","resolution":{"observed_at":"2026-08-06T14:57:32.563015Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:34.953408Z","title":"Parallel translation and smoothness of the metric of spaces with bounded curvature","venue":null,"work_id":"f37a4fad-2d06-4e6c-b018-7acd8da47e3e","year":1980},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.285589Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:311c5212e0d2e4addf0b752d9bb9251ca57f6335c202ce42612ad0ca61c13726","observation_id":"538c038a-db7d-4d7e-a2b2-c8bc08e20a6b","resolution":{"observed_at":"2026-08-06T14:57:34.959111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02921804.url:","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.577958Z","title":"Gromov-Hausdorff convergence to nonmanifolds","venue":null,"work_id":"1f039126-d745-444d-805b-f0c937b7945e","year":1995},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.276297Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:3477674850ff28625a2bb9d70146d161cff56834bdbf1938c19502f53196ef3a","observation_id":"1fe3f789-8cf8-4fa8-86c0-9f2b33365895","resolution":{"observed_at":"2026-08-06T14:57:32.583682Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:34.930930Z","title":"Alexandrov spaces with curvatures bounded from below II","venue":null,"work_id":"b19424cb-4531-4300-9ea4-ea161c8c45b3","year":1991},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.295025Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:d221bf220343a4ffe53fa74ad0312a05da50f9f111b34971f8fb09d05b0a1cdd","observation_id":"4fd6e485-3b2c-4148-81f7-0c8d38fb7265","resolution":{"observed_at":"2026-08-06T14:57:34.938006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.299361Z","title":"A finiteness theorem for metric spaces","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.299361Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:b4e3a25444f5c1fadb6a908d7a48532397761485402898ab3adb79708b67b302","observation_id":"c379b0c8-1eab-4626-bc87-a576bcea74a7","resolution":{"observed_at":"2026-08-06T14:57:32.299361Z","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":"10.1016/j.top.2004.01.010","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Cocompact CAT(0) spaces are almost geodesically complete","venue":"Topology","work_id":"b1f799cf-7668-49e5-a732-1bbae794c8b7","year":2005},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.290326Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:d3975baca23a061abf6546f6e6a8a455b8f40bcb0cc5193485ed4d4600ae1180","observation_id":"acb65964-2df8-4a40-a35b-53e2eace1e7d","resolution":{"observed_at":"2026-08-06T14:57:32.545575Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10711-009-9406-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":"A controlled-topology proof of the product structure theorem","venue":"Geometriae Dedicata","work_id":"fbef4569-be89-4bec-90a4-f190b8bb5dc9","year":2010},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.308625Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:905a10ca2223e066bd9b581a04263068b862983b95a9fe461ff3a156778cc44c","observation_id":"cb745224-6c87-4e71-a858-1829d23ca176","resolution":{"observed_at":"2026-08-06T14:57:32.526585Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.313487Z","title":"An obstruction to the resolution of homology manifolds","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.313487Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:17810fb40bd90fd78edba7bd2fc32e17a719bd76dee24794fa945f52a567cdb8","observation_id":"a18d5cfe-d901-446c-ab3d-ae1dcb43fb2c","resolution":{"observed_at":"2026-08-06T14:57:32.313487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.02450","last_updated":"2020-06-03T18:00:22Z","snapshot_observed_at":"2026-08-10T22:44:13.971494Z","submitted_at":"2020-06-03T18:00:22Z","title":"Stability, Finiteness and Dimension Four","version":1},"cited_work":{"arxiv_id":"2006.02450","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.02450","snapshot_observed_at":"2026-08-06T14:57:34.025240Z","title":"Stability, Finiteness and Dimension Four","venue":"math.DG","work_id":"4ac00c54-5194-4612-80f4-ca6ce32d65ee","year":2020},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.303784Z"},"links":{"cited_paper":"/paper/2006.02450","citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:5f11abe87d3e4cd02b073f5d957ab54f627c41ea15d74626b5aada0eb313323e","observation_id":"c5dd809b-cd8a-4574-8648-6409c1415968","resolution":{"observed_at":"2026-08-06T14:57:34.031261Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:34.912716Z","title":"Ends of maps. III. Dimensions4 and 5","venue":null,"work_id":"89a9a68c-8975-4984-9b8b-26ba8883fdd4","year":1982},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.322587Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:346d6346bf1e39ac2f540b74f74daddf725e0daf66c657580102e7352655d383","observation_id":"70884fe2-8b14-498d-87ec-92e3850a2203","resolution":{"observed_at":"2026-08-06T14:57:34.918129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/gtm.2006.9.87","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Problems on homology manifolds","venue":"Geometry and topology monographs","work_id":"45fba4c0-df2e-4729-a799-48757ccbd27e","year":2003},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.326977Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:22fc6bfb9f71daed2da2a5c5a768f611ca4c5bf14b9b4e63844f3b9dca5889fa","observation_id":"f0b3dde2-b813-488c-a499-c40da76aa70a","resolution":{"observed_at":"2026-08-06T14:57:32.493388Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1971262","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Ends of maps. I","venue":"Annals of Mathematics","work_id":"6bd533dd-6b6a-4d6b-b901-a2ada9c7d566","year":1979},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.318000Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:390d5b65f9244e0a00aece187c85093a1e987a05c5f76c3dcebde1313cb0e63b","observation_id":"7080a924-8dc5-486c-aa7e-e211e3a54a4e","resolution":{"observed_at":"2026-08-06T14:57:32.510665Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:34.893900Z","title":"Geometric aspects of general topology","venue":null,"work_id":"6c90abcc-58d1-4995-90a6-85365dfb6010","year":2013},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.335783Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:529ed9b6c40ff14068ef135cbcd12de4ad962f6c089648d90100b055cde2cdbf","observation_id":"a50bfd70-7267-4845-8cd1-79b6f3d61991","resolution":{"observed_at":"2026-08-06T14:57:34.900515Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.345167Z","title":"On isometries of compact Lp-Wasserstein spaces","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.345167Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:967ec1dd7060d01c655f7f8b2df667e918ed0b1e3bfd66e96c878288e6a4682d","observation_id":"b48af6ba-d39f-4825-9c03-eeb215e94036","resolution":{"observed_at":"2026-08-06T14:57:32.345167Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.331488Z","title":"Examples of tangent cones of non-collapsed Ricci limit spaces","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.331488Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:d3c8cfbe25340dc6c1bbf44441305ea2b7d7824c473e8c25b4154505dca9bb1f","observation_id":"3844b0ba-dbb1-42f6-8589-37a43fe79c07","resolution":{"observed_at":"2026-08-06T14:57:32.331488Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0040-9383(72)90014-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Approximating cellular maps by homeomorphisms","venue":"Topology","work_id":"265c5caf-6d45-4b4e-a1a6-7d8bb3cee73b","year":1972},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.354773Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:a1033368c8bcd70696602f93ed1a8035353d13f1afe96852af454759023f12a9","observation_id":"a7ca6a86-3f0d-486a-9547-b3348b3d450b","resolution":{"observed_at":"2026-08-06T14:57:32.462801Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.340265Z","title":"url: https://doi.org/10.1007/978-4-431- 54397-8","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.340265Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:9ec4af1c0a091b090e2e8e580c5dcc085a315b247959fe888845c46d08a52712","observation_id":"4bac2974-77eb-46e8-a6e9-6f5533ec75d0","resolution":{"observed_at":"2026-08-06T14:57:32.340265Z","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":"2026-08-06T14:57:34.857139Z","title":"Topological manifolds","venue":null,"work_id":"9b9dfb2e-bd77-4696-8d99-09400caf9866","year":1970},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.364329Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:6abfca1197dd867286521416a58195b04a2f9035ad9f84721c7886d0e3eab5cf","observation_id":"9d0c8d56-9206-4cb7-b06b-c12b05d97e8f","resolution":{"observed_at":"2026-08-06T14:57:34.862210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:34.875924Z","title":"The Hauptvermutung for C ∞ homeo- morphisms. II. A proof valid for open4-manifolds","venue":null,"work_id":"05e914f5-9859-4ec5-98aa-2e5fba0af177","year":1974},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.350101Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:1cef33a453f2633c3ce07e8fc57c983c95a424e9f4c3920b9b7eb44026e224cc","observation_id":"98b39133-bde6-4ef1-91d3-aba999c5533f","resolution":{"observed_at":"2026-08-06T14:57:34.882320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1998981","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Isotoping mappings to open mappings","venue":"Transactions of the American Mathematical Society","work_id":"26c56e96-1165-4781-879e-1f3a303f2ada","year":1979},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.374478Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:886f8ca5ce90e7dca20fd97965aea1e77c7d6d8eeec8aafbd433b26fa7206fa0","observation_id":"c8ca1526-eeff-4969-8c4c-078c25faac7c","resolution":{"observed_at":"2026-08-06T14:57:32.429398Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02566793","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Deformation of homeomorphisms on stratified sets. I, II","venue":"Commentarii Mathematici Helvetici","work_id":"fef1d409-4bf1-425e-9cc0-f1f3c4357cba","year":1972},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.359488Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:ebe813d49d84bde1f55480b1685122acd337200eeca9932cc628317a3b384c1f","observation_id":"40026010-e5fb-46f4-bb5e-dc3a4790a0b6","resolution":{"observed_at":"2026-08-06T14:57:32.445563Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T14:57:32.383637Z","title":"Topological regularity theorems for Alexandrov spaces","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.383637Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:a0123a7c126f138fc7d1eac531ec899c7d780e4541617a5ed10c36d35e7f79cc","observation_id":"9b630883-c68f-40f2-a125-2f684689204e","resolution":{"observed_at":"2026-08-06T14:57:32.383637Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.369243Z","title":"A short proof of Hausdorff’s theorem on extending metrics","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.369243Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:69d3159b58d9dc446e77457b560b2c3aebfaf66c6eb163521c1037188fd8bd12","observation_id":"d8395c0a-b35b-43cf-97dd-474820e70e2e","resolution":{"observed_at":"2026-08-06T14:57:32.369243Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.379038Z","title":"On the structure of almost nonnegatively curved manifolds","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.379038Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:420ace96ac3f407520c84c6a9c6ba7e44a87b8d6572d1b7f5194d448ab697e3b","observation_id":"d2361672-a512-435d-b2fe-a5f8a4de301e","resolution":{"observed_at":"2026-08-06T14:57:32.379038Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:57:32.388237Z","title":"A finiteness theorem for Ricci curvature in dimension three","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.388237Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:8f1734adc11dc30386aa51654d745d5a12c88b5ad2a3579f7db3126aa13d51a2","observation_id":"a331a96a-0ce6-41e5-9cd8-42399ff6fd09","resolution":{"observed_at":"2026-08-06T14:57:32.388237Z","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":"10.1007/s40574-025-00458-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"url: https://doi.org/ 10.1007/s40574-025-00458-7","venue":"Bollettino dell Unione Matematica Italiana","work_id":"9db3f991-5e45-4b65-a33c-8443c416e1c3","year":1972},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":271,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.166439Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:75d260be92be2ca194429014bffd18623afb120ed3b040759f00e85db39d92db","observation_id":"17945d81-7096-48fa-bbaa-07259026ff4f","resolution":{"observed_at":"2026-08-06T14:57:32.852721Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/jems/1091","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"url: https://doi.org/10.4171/jems/1091","venue":"Journal of the European Mathematical Society","work_id":"b35f6108-720f-480e-9180-a3764eb6b9a8","year":null},"citing_paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function","version":1},"reference_index":9855,"source":"pdf_text","source_observed_at":"2026-08-06T14:57:32.251897Z"},"links":{"citing_paper":"/paper/2507.17557"},"observation_digest":"sha256:0b0f162347632b283375aabb32668eb78b662a8e0a434da0ea72d1f405261d0c","observation_id":"8508886c-3366-4dfb-a419-c58678b156dd","resolution":{"observed_at":"2026-08-06T14:57:32.648961Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.17557","last_updated":"2025-07-23T14:49:02Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-08-06T14:43:37.510667Z","submitted_at":"2025-07-23T14:49:02Z","title":"Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function"},"reference_resolution":{"displayed":95,"state_counts":{"malformed_identifier":10,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":32,"verified_exact":43,"verified_fuzzy":10},"total_outbound_references":95},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 0 inbound Pith citation observations for arXiv:2507.17557."}