{"as_of":"2026-08-16T22:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5d556b740e37b2a27b7659819d22b6c2f8138a0e53eb49e244da250fec79de13","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:56:46.052943Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"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/1908.04442/citation-record","integrity":"/paper/1908.04442/integrity","json":"/paper/1908.04442/citation-record.json","paper":"/paper/1908.04442"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.413602Z","title":null,"venue":null,"work_id":"cf2e0c94-2912-4a81-be6d-35c5aca684ad","year":2012},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.918432Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:29297fb435d313cbdb631e042c57dd83dd4b6c5fd2856df23de88ef5187bf61c","observation_id":"c593f500-4ee9-4b7f-a021-46085ac55fc2","resolution":{"observed_at":"2026-08-14T13:56:46.417603Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.402268Z","title":null,"venue":null,"work_id":"4c7f11df-4d76-42eb-a4a8-73ea0181dccc","year":2010},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.925455Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:c0bacf16a4978e78e84ce9f4b53c8370f308d081b013ea20a6d1a05f551ed2fc","observation_id":"03da00f8-2998-48d8-bda3-57b13425540b","resolution":{"observed_at":"2026-08-14T13:56:46.406109Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.391108Z","title":null,"venue":null,"work_id":"a4c59767-5fa9-4431-bf4d-6be8f5f4e5ae","year":1957},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.930226Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:77f48abf88b787bf6dc59288ede66fbb9cffcd6dfa86586ec1f1d8865f28f7ac","observation_id":"8624df31-d2e2-4e15-bc69-a7b5d1fe623e","resolution":{"observed_at":"2026-08-14T13:56:46.394944Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.378014Z","title":"C., Hoffnung, A","venue":null,"work_id":"56cc8e86-dd08-47f7-add7-b7afcf6bd089","year":2011},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.936040Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:97b62efe25e93bac02a5c8b9b65bfcff7e0c4da36d50f1fd86771def4f2277cc","observation_id":"98134c89-7320-4cd6-8e37-0fceb698319c","resolution":{"observed_at":"2026-08-14T13:56:46.382079Z","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":"2026-08-14T13:56:46.365414Z","title":null,"venue":null,"work_id":"662e238f-3da7-4124-8f1d-a833336a4ee1","year":2004},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.940969Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:da1b91b29dc2ded62e15b0b72ac03cc0796e1e7e35dc82d46f3d2a646a028cbc","observation_id":"8e41b12d-a581-439e-970b-4638b4fc70a7","resolution":{"observed_at":"2026-08-14T13:56:46.369941Z","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":{"arxiv_id":"math/0511194","last_updated":"2006-05-16T08:41:45Z","snapshot_observed_at":"2026-08-02T20:36:08.807754Z","submitted_at":"2005-11-08T11:32:01Z","title":"Symplectic connections","version":2},"cited_work":{"arxiv_id":"math/0511194","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0511194","snapshot_observed_at":"2026-08-14T13:56:46.092465Z","title":"Symplectic connections","venue":"math.SG","work_id":"3167f0d7-e569-4a37-85b7-f8ae5cedf93e","year":2005},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.946141Z"},"links":{"cited_paper":"/paper/math/0511194","citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:b4f57ecac42437effa82ec9876e6128c1784adc31afa42fdad805c4aedc769e3","observation_id":"80051358-b3e6-4543-88ee-927220deaf1d","resolution":{"observed_at":"2026-08-14T13:56:46.099672Z","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":"2026-08-14T13:56:46.352020Z","title":null,"venue":null,"work_id":"eb148f1b-f575-4404-bcf2-9e04d3422634","year":2008},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.953191Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:7143be18d5b7e9daaeb68b001bc0faa032b85a1791d1449eca4b2ea7af704646","observation_id":"1b60d1e3-e67c-4583-91da-1b30136f2e64","resolution":{"observed_at":"2026-08-14T13:56:46.356331Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.337526Z","title":null,"venue":null,"work_id":"821325a6-150f-429e-ad2d-54da101e21f7","year":2011},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.959542Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:522450749351f42d63eea8b79da5754ea10a3bc11852ea3cbe1427a9e7f08339","observation_id":"d1a91383-d9d1-48b2-8a49-8b818a1ab19e","resolution":{"observed_at":"2026-08-14T13:56:46.342031Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.316840Z","title":null,"venue":null,"work_id":"0db33f4c-afb7-4957-a3bb-c1dd72089ba4","year":1991},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.964329Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:463337b21ed94159444e4f7c5972ebbb56ee4e4f57b5bc506cc7fef03faab2fd","observation_id":"d30bfe18-8e0b-4ead-a41c-ee646b6e77a4","resolution":{"observed_at":"2026-08-14T13:56:46.325411Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.303403Z","title":null,"venue":null,"work_id":"97f534ee-b9c1-49f1-a0cd-93d64ddc17a3","year":1994},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.973443Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:ba9304deb81aeaac4ce4eb80e655338c79dfc8754f93424a3bb6bfa67cdf741b","observation_id":"65b785f9-5f23-46e5-9090-f806826b1cdc","resolution":{"observed_at":"2026-08-14T13:56:46.307861Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.290391Z","title":"I., Manin, Y","venue":null,"work_id":"944e5bcf-e5dd-4e3b-a531-d1a1f90940fe","year":2003},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.977927Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:5b2634b27d34e22d21fcfa029afa308366b62b663e951a957d87118735504dfb","observation_id":"e708af6e-a4f3-49f4-9d37-5f76168d638a","resolution":{"observed_at":"2026-08-14T13:56:46.294569Z","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":"2026-08-14T13:56:46.277011Z","title":"E., Complete metrics of bounded curvature on noncompact manifol ds, Arch","venue":null,"work_id":"8e3008f5-999a-42e0-977f-3930b3737691","year":1978},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.987899Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:3e77ed1f88d7bbacbba4ac904c79ab10e11c10b18085848786b3317bf4ba3b6c","observation_id":"4e256fdc-84d0-41a3-9d5e-277889db0f2b","resolution":{"observed_at":"2026-08-14T13:56:46.281073Z","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":"2026-08-14T13:56:46.262007Z","title":null,"venue":null,"work_id":"a5656e22-aecc-4a9d-a807-44ad30946c6b","year":1983},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:45.995316Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:31f5ae18a01c222a9bdb26488fd84d93df7899ab4bbcc488d5e62bd7b3c9d481","observation_id":"790f70fa-82ec-4d4c-af49-4e4badc18f45","resolution":{"observed_at":"2026-08-14T13:56:46.266477Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.248907Z","title":null,"venue":null,"work_id":"bc8f211b-508b-43bc-96f2-1127322abac3","year":2014},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.000434Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:52448eaa6c902a0c2d8efd0664ab451bc38ec6acde5f09fb6b17e002c46a4499","observation_id":"c4579e86-e9f6-4867-a95a-c7eb58ca8aa3","resolution":{"observed_at":"2026-08-14T13:56:46.253381Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.234103Z","title":null,"venue":null,"work_id":"d1278efb-c487-4794-b13b-67a284c835d6","year":1996},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.006720Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:bd00f150452539ebcd2bd0f76209e4abc996b83b369f5a1a6d753ce33d292c8a","observation_id":"5186e60b-8f2f-4200-bc00-9dce29633c41","resolution":{"observed_at":"2026-08-14T13:56:46.239207Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.210677Z","title":null,"venue":null,"work_id":"cf3261d1-a9cc-4418-948e-737f62592ed0","year":1978},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.016543Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:93efc5955beac7ebcb18f63ea862fab38de1a3f5a44afeb3ec22a2cbca32fb4c","observation_id":"3a247fb2-dd45-4777-bc20-fc80ec6ea378","resolution":{"observed_at":"2026-08-14T13:56:46.220559Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.194892Z","title":null,"venue":null,"work_id":"7398fbff-b4fb-4e33-81ff-a052918627fe","year":1994},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.022365Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:e620120c97b80ffed2cae71082ac92d5c56fa378dc49e3de1a980237c803b76e","observation_id":"6ac901fc-9e0f-4091-a030-b1ab00375cca","resolution":{"observed_at":"2026-08-14T13:56:46.200433Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.176252Z","title":"E., Models for Smooth Infinitesimal Analysis , Springer, 1991","venue":null,"work_id":"d74bb651-e8b1-4159-9e2f-821cfa723845","year":1991},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.031808Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:2f17d71025d5300343ac6bc4b6d75b0fb713acab3f00d5e357d01771277e6dfd","observation_id":"4c7b13e1-2bd4-4583-8cb6-149c7248cc6a","resolution":{"observed_at":"2026-08-14T13:56:46.183403Z","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":"2026-08-14T13:56:46.162335Z","title":null,"venue":null,"work_id":"135daa72-781d-4442-8bb1-87e2a239aa27","year":2015},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.037172Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:e460bf77391824e394d65a51b69752c5a8f40a53090ff317d1057764ec325945","observation_id":"d3accc57-1ed7-456d-8b07-ff49dd6a0d26","resolution":{"observed_at":"2026-08-14T13:56:46.166922Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.147800Z","title":null,"venue":null,"work_id":"275534ed-9b21-4b9c-942d-fdc9d18f16db","year":1999},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.042220Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:151f7b43e11be04428f6d526047e9c3130cbdfd4e50ae1c29606f793cc2263aa","observation_id":"7efd2e19-0f2f-48c0-8b57-39f2f1a3402f","resolution":{"observed_at":"2026-08-14T13:56:46.153077Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.128705Z","title":null,"venue":null,"work_id":"35201848-9c93-4c11-bfaa-ba409143b241","year":1967},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.047039Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:8bff5334413190a56d76a2949a3662b7cb1952f3d46035d3f040140d49e8450a","observation_id":"b857943c-7076-412f-b30e-ddab387ee67c","resolution":{"observed_at":"2026-08-14T13:56:46.135079Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:56:46.109910Z","title":"K., Connections with Lp bounds on curvature , Comm","venue":null,"work_id":"4957c0be-fd69-4988-a925-a60730c80d63","year":1982},"citing_paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:56:46.052943Z"},"links":{"citing_paper":"/paper/1908.04442"},"observation_digest":"sha256:28ba6c8aab0e7e1a6e1da53abb1dc791c3316fd65a8a904dccfe1f217725734e","observation_id":"05d928ee-ee02-4a56-828d-12839014619a","resolution":{"observed_at":"2026-08-14T13:56:46.115400Z","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"}}],"paper":{"arxiv_id":"1908.04442","last_updated":"2021-04-21T12:08:11Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T14:14:34.468106Z","submitted_at":"2019-08-13T00:02:39Z","title":"Existence of $B^k_{\\alpha,\\beta}$-Structures on $C^k$-Manifolds"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":1,"verified_fuzzy":5},"total_outbound_references":22},"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 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.04442."}