{"as_of":"2026-08-16T12:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fc046bd719cbdd2d0cd5fd04d10392a77be0f10e28e5abf07e50e1a7b221f8cc","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:18:05.028529Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.07713/citation-record","integrity":"/paper/1908.07713/integrity","json":"/paper/1908.07713/citation-record.json","paper":"/paper/1908.07713"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.355428Z","title":"Belitskii, The Sternberg theorem for a Banach space, Funct","venue":null,"work_id":"f446dca4-a6fe-4697-bf72-18b04e38d02d","year":1984},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.934902Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:1c2d2d6b140f271f88743167dda0f259a74e020b5d1359575d746f676e44fda7","observation_id":"d8507b17-23f8-44e5-8247-519a7ef16aec","resolution":{"observed_at":"2026-08-14T12:18:05.359299Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.345668Z","title":"Belitskii, V","venue":null,"work_id":"9f8cb479-ac43-478d-95d1-57672728240b","year":2003},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.939308Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:346057aa00f1f5ddc341db4516cf75be72b9b4766aff230c7496eff3e3cb7af8","observation_id":"58356663-3d7d-46c7-8352-90c396a64165","resolution":{"observed_at":"2026-08-14T12:18:05.349097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.335367Z","title":"Belitskii, V","venue":null,"work_id":"ba8ae237-eaea-4964-8c1d-51267228b21f","year":null},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.943672Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:eddf764f9b8032d4ec7408163f377fa91f5afff1217ca653efe7b4f2ed7acfda","observation_id":"12ea97a5-5d44-43b4-9961-e2dd12d2c9a5","resolution":{"observed_at":"2026-08-14T12:18:05.339060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.324103Z","title":"Belitskii and V","venue":null,"work_id":"13d02a5e-45f6-4b83-9530-435854b9786b","year":2019},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.947571Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:49e6004ad189a3993c0fc13e9c175bf01887a3963064c2fe7730d5d579cf2547","observation_id":"2c345bca-dcc7-49bc-8900-430bf4577e93","resolution":{"observed_at":"2026-08-14T12:18:05.328568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.11064","last_updated":"2018-12-23T04:48:30Z","snapshot_observed_at":"2026-08-14T17:39:13.635724Z","submitted_at":"2018-12-23T04:48:30Z","title":"Extension of differentiable local mappings on linear topological spaces","version":1},"cited_work":{"arxiv_id":"1812.11064","doi":null,"metadata_source":"pith","pith_arxiv_id":"1812.11064","snapshot_observed_at":"2026-08-14T12:18:05.162534Z","title":"Extension of differentiable local mappings on linear topological spaces","venue":"math.FA","work_id":"b5c3d27e-c24f-4c49-bc79-44a09781e1b8","year":2018},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.951792Z"},"links":{"cited_paper":"/paper/1812.11064","citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:02b5be8fcb9aaf5ef1e61c35a58ad84a34efe754034858a929c2f0ad07a706ee","observation_id":"eea3c40f-cb83-4de9-9d6f-05e252c8b2dd","resolution":{"observed_at":"2026-08-14T12:18:05.166440Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.313765Z","title":"D'Alessandro and P","venue":null,"work_id":"0aafd391-990e-4136-a6af-31449e099c41","year":2014},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.956200Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:e732e25b03a5cc3cf2f8174d56f15fae9c4dadb09af5c2e6357d4406f506992b","observation_id":"ed0866ed-75b1-4332-a34b-c5802d7bc337","resolution":{"observed_at":"2026-08-14T12:18:05.317456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.303903Z","title":"Guysinsky, B","venue":null,"work_id":"8d4edaae-861b-43d3-b746-203f2844a969","year":2003},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.960300Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:54acb15f963d2ec1c5498d1fe8104f6154c4874edc5b73385b79cf990014ad19","observation_id":"dcd3aa86-48d3-4c9b-8c97-40db7ef68bad","resolution":{"observed_at":"2026-08-14T12:18:05.307613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.292795Z","title":"Hajek and M","venue":null,"work_id":"2cf263d7-8e9d-45de-87f6-178383c962c4","year":2014},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.964098Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:4e6c5efc7af8f79392a0226b8899bbaa7926821a34caf90b44ef4f6f7614d426","observation_id":"a838ce66-2cfa-448c-b5e5-2de4f3400b45","resolution":{"observed_at":"2026-08-14T12:18:05.296263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.281558Z","title":"Meshkov, Smoothness properties in Banach spaces, Studia Mathematica, 63 (1978), 111--123","venue":null,"work_id":"fa0b5fc2-7a1e-4c0f-99e2-78daf7bf49b1","year":1978},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.968104Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:16f55aad18798ca4d0229ca6d75ab1bcdcd759fb042842080a3619c78f6e752a","observation_id":"f1ff4280-57ba-4205-aff3-b9194ed3d854","resolution":{"observed_at":"2026-08-14T12:18:05.285278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1211.0229","last_updated":"2012-11-01T17:17:47Z","snapshot_observed_at":"2026-08-15T00:40:47.862529Z","submitted_at":"2012-11-01T17:17:47Z","title":"The cohomological equations in nonsmooth categories","version":1},"cited_work":{"arxiv_id":"1211.0229","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.0229","snapshot_observed_at":"2026-08-14T12:18:05.145694Z","title":"The cohomological equations in nonsmooth categories","venue":"math.FA","work_id":"455d2759-764a-42fb-b93f-1fd30c1678e4","year":2012},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.971610Z"},"links":{"cited_paper":"/paper/1211.0229","citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:94410e55fffc134831a5ee49fd73901e1649f0e57703b0c962ee727605d50cc7","observation_id":"d68a4ca6-cb77-4305-bf59-9ee1465ff8e3","resolution":{"observed_at":"2026-08-14T12:18:05.150316Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.271191Z","title":"Nitecki, Differentiable Dynamics","venue":null,"work_id":"510843f1-268a-4c29-89de-48b701a34594","year":1971},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.975748Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:eadca73a884acee5ca163544ab4d560e0156735a26c087ba3760695502189741","observation_id":"bb118fd7-670b-4b5e-9e2b-526f5e4c2024","resolution":{"observed_at":"2026-08-14T12:18:05.274842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.261157Z","title":"Palis, Local Structure of Hyperbolic Fixed Points in Banach Space, Anais da Academia Brasileira de Ciencias, 40 (1968), 263--266","venue":null,"work_id":"1681e1b1-2b72-4bb1-a956-4ea6b3950444","year":1968},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.979053Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:a81dc831c6d34e566020f872974c166007aef9423d98d58b61e455acc915f50f","observation_id":"36e7d1c5-baeb-4b26-af3e-81b2a8e05670","resolution":{"observed_at":"2026-08-14T12:18:05.264846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.249772Z","title":null,"venue":null,"work_id":"0c042871-c2a2-458b-a0b4-e6a2db119933","year":1969},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.983219Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:1ead5293a019d7cc8eb0122d1bd6150376a3654355e65a4dbebcdb0c8371a647","observation_id":"193a6283-5f88-4e4c-9313-8abfa71486bd","resolution":{"observed_at":"2026-08-14T12:18:05.253641Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0143385708000989","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.070536Z","title":"Rayskin, Theorem of Sternberg-Chen modulo central manifold for Banach spaces, Ergodic Theory & Dynamical Systems, 29 (2009), no","venue":null,"work_id":"efe19ece-3049-4132-9679-87b818e7ec31","year":2009},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.986675Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:cdf60fff7d84e9530186b60bf29d704bbee694f9bca8ce60d6feb5afd8f4f165","observation_id":"1690ba09-30e7-429f-95fe-4495070134ba","resolution":{"observed_at":"2026-08-14T12:18:05.076242Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.238074Z","title":"Rayskin, -H \\\"o lder linearization , Journal of Differential Equations (1998) 147 2 271 - 284 pp","venue":null,"work_id":"02c52e23-a9d5-413d-a7a9-ccc9dbdbd6ff","year":1998},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.990335Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:692ae8bdeadd801490f4fb3a2a72ad697b85a8f7ce420ca83e78cb4a000aba6d","observation_id":"2ea57aa8-534d-4de4-a4a9-e7d68b115035","resolution":{"observed_at":"2026-08-14T12:18:05.241744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.226520Z","title":"Soboleff Sur un th \\'e or \\`e me d'analyse fonctionnelle , Rec","venue":null,"work_id":"fdec9d8a-0dfd-4e5a-b731-33253379554c","year":1938},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.993741Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:66c87731f0f8f28e57c8c81a6f954a62d1a544b7da20babed11c3fabdd52dfd3","observation_id":"07b551dd-e400-4bba-9995-e74a41962bc8","resolution":{"observed_at":"2026-08-14T12:18:05.231004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.215032Z","title":"Sternberg, On the structure if local homeomorphisms of Euclidean n-space II, Amer","venue":null,"work_id":"051e652f-e4b9-42cf-8bba-43892368e603","year":1958},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:04.997203Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:a0436adbc20ff9a1d40c941a07cfc139b83264d8c7fad23e1e73320004cffc80","observation_id":"6f5e6c58-1f68-428f-88a6-723edc743e63","resolution":{"observed_at":"2026-08-14T12:18:05.219340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.203497Z","title":"van Strien, Smooth linearization of hyperbolic fixed points without resonance conditions, Journal of Differential Equations, (1990), 85, 1 , 66 - 90 pp","venue":null,"work_id":"6acd585f-136b-4ca6-917e-987c096f70dc","year":1990},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.001110Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:95372c9340ecf35b067f92864331b013c8681fdfc49bc3b5fb3cbdec776f828c","observation_id":"a2e931b3-7a46-4a55-a97d-c910002cd67e","resolution":{"observed_at":"2026-08-14T12:18:05.208097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.191771Z","title":"Dfifferentiability of the Conjugacy in the Harman-Grobman Theorem","venue":null,"work_id":"0419fb90-ec29-476f-b5cd-f7eb7b464906","year":2017},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.005236Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:79f5ee2375ec2ace3c95700175cad6ffe89b0ceb1e9ddd623521a249275b0092","observation_id":"1236d653-541e-4b0a-8956-2ef766951f65","resolution":{"observed_at":"2026-08-14T12:18:05.195578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:18:05.009030Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.009030Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:d5883a3a59ef757d50531901bd81ae0ce26a0e8497bde984c05204b2080c0087","observation_id":"b70d6f7d-d857-4120-aa21-1829c8453c55","resolution":{"observed_at":"2026-08-14T12:18:05.009030Z","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":"2026-08-14T12:18:05.013306Z","title":"In: Nagel, W.E., Walter, W.V., Lehner, W","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.013306Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:fc7e9d14662e5c386e457891d7955e9b84b4171c012f94ac6cfc9338aaab3f5f","observation_id":"e6b30859-df31-4f30-a32b-473eb77dfd10","resolution":{"observed_at":"2026-08-14T12:18:05.013306Z","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":"2026-08-14T12:18:05.017187Z","title":"Morgan Kaufmann, San Francisco (1999)","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.017187Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:a3666f192b4b46dba1d23837350af1fd0f626c0f1871858e5a70ace087a2463d","observation_id":"9f4e41a0-a85f-4b2e-8f71-3913c913d385","resolution":{"observed_at":"2026-08-14T12:18:05.017187Z","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":"2026-08-14T12:18:05.021087Z","title":"In: 10th IEEE International Symposium on High Performance Distributed Computing, pp","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.021087Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:9e9e523eff24f4d34f076552579e390e1ef00a5588c3981ea234c5ef8ea1a76e","observation_id":"40f45244-f5bd-4b50-ba9b-204b0369f6bf","resolution":{"observed_at":"2026-08-14T12:18:05.021087Z","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":"2026-08-14T12:18:05.024689Z","title":"Technical report, Global Grid Forum (2002)","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.024689Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:8e3ed43a5cecede720f282ea9be92d2c73919567bf5e4cf5f4726a8a557de38b","observation_id":"635c5ccb-9949-43c7-b391-69181928f0fc","resolution":{"observed_at":"2026-08-14T12:18:05.024689Z","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":"2026-08-14T12:18:05.028529Z","title":"http://www.ncbi.nlm.nih.gov","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T12:18:05.028529Z"},"links":{"citing_paper":"/paper/1908.07713"},"observation_digest":"sha256:32e6722898b23b5e3b9c271910472fd3a07fe86b9b549549706dea128ec6096f","observation_id":"cacbc047-3a39-4173-93ac-99a1ac41be77","resolution":{"observed_at":"2026-08-14T12:18:05.028529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.07713","last_updated":"2019-08-21T05:46:25Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-16T07:27:00.548644Z","submitted_at":"2019-08-21T05:46:25Z","title":"New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":3,"verified_fuzzy":14},"total_outbound_references":25},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.07713."}