{"as_of":"2026-08-11T21:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c9a07c05ff406e08c9334dd87fcb711c862977d8a9567666d456d1580948bb5f","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:44:41.715066Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2506.21481/citation-record","integrity":"/paper/2506.21481/integrity","json":"/paper/2506.21481/citation-record.json","paper":"/paper/2506.21481"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:44:43.456502Z","title":null,"venue":null,"work_id":"79511eee-761d-4cc9-967d-517c4f323f20","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.888491Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:df2e1168796ae76fa173e5e28dd3602075a00f7e778b576a8f8c66eb8e61bd64","observation_id":"5d95fea8-bdeb-41ad-9574-608013ff3df7","resolution":{"observed_at":"2026-08-06T22:44:43.486223Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.12282","last_updated":"2020-07-23T22:36:36Z","snapshot_observed_at":"2026-08-11T14:52:04.982675Z","submitted_at":"2020-07-23T22:36:36Z","title":"On Positivity and Minimality for Second-Order Holonomic Sequences","version":1},"cited_work":{"arxiv_id":"2007.12282","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.12282","snapshot_observed_at":"2026-08-06T22:44:41.906490Z","title":"On Positivity and Minimality for Second-Order Holonomic Sequences","venue":"math.NT","work_id":"908a91db-b818-485e-b3fd-c641a2c2da9b","year":2020},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.126157Z"},"links":{"cited_paper":"/paper/2007.12282","citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:738e8d196e9d018e634a876ce434a3ead678f84010fd9434ae3122f4a4087189","observation_id":"8d469527-1e82-4883-937e-fe0a2835b246","resolution":{"observed_at":"2026-08-06T22:44:41.972687Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.738339Z","title":null,"venue":null,"work_id":"2b1d3076-42f5-44f6-ba5e-17034eef4e78","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.700394Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:75f9a8b6a2ed96f002b2bff5bd5528bc50df46307a04eef1239e1ac9154776e0","observation_id":"b99e9c8c-2482-43ac-a62c-0671036d0ac9","resolution":{"observed_at":"2026-08-06T22:44:43.741407Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.785521Z","title":null,"venue":null,"work_id":"350a34ab-d2f2-4833-a732-4a851a0159ff","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.283180Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:4715d62a2e013ac7b348c8c5229038c4f3cc542441e532f6b16789d7fc86d8fe","observation_id":"f833e9c4-27da-431e-b4ae-e76f14df52e6","resolution":{"observed_at":"2026-08-06T22:44:43.789721Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.775854Z","title":"Indeed, since Ei is non-empty, it contains a point x","venue":null,"work_id":"a9c0679d-8144-4d32-b8b5-a0c572b27b69","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.390071Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:461e2dbc1c52d51745c3727f8ab78761b253ee2f2a2a408d983b8f9814617a2a","observation_id":"d85733d9-460a-46e2-96f3-478e47978ed7","resolution":{"observed_at":"2026-08-06T22:44:43.779500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.765687Z","title":"It follows that d(y, x) < δ, contradicting the assumption that Ei is disjoint from B(Ek, δ)","venue":null,"work_id":"dfbd6ab6-189b-4c2d-a05d-2002ae22cfcd","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.474819Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:d6c671ca016e8f2aeffc52da2764f6fbebc93ace7541d86afaa391e9676a85e0","observation_id":"155e584c-47ff-4e5c-9d6a-d0100edcdae8","resolution":{"observed_at":"2026-08-06T22:44:43.769636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.756230Z","title":"Now, EN+1 is required to be a non-empty subset of K, disjoint from K","venue":null,"work_id":"6f9e4065-b3bb-4473-90b0-6a9ec74d6d3c","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.579426Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:c60b7a17a92b10418b16176dbed93e2acea2f260e501d3612ef60d152c9718a5","observation_id":"b46560e3-2836-46e8-ac2e-3c53e7c5534b","resolution":{"observed_at":"2026-08-06T22:44:43.759492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.747006Z","title":null,"venue":null,"work_id":"e2086cbd-0858-4108-bea3-ffd1a66f1072","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.637237Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:b9510f6ae6f5cc651365ba7c4bff9c439992a3ca540129d633d3b7fb3f5a7602","observation_id":"eea5424f-5dfa-40b6-86c5-a503b90ffb9c","resolution":{"observed_at":"2026-08-06T22:44:43.750072Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.727863Z","title":null,"venue":null,"work_id":"23681204-8fb6-4861-894d-0c3f5a58f75e","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.767425Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:24a51ee6e3a74031b14af4b4e344e43514bf1518c9d6b203f74aea5a20f53ff5","observation_id":"3c6abd0f-95be-41f5-a71d-cb246a4342b8","resolution":{"observed_at":"2026-08-06T22:44:43.732678Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.567129Z","title":"Suppose we have constructed E0,..., Em as above with x0 ∉ B(Ei, δ) for i = 0,..., m","venue":null,"work_id":"8e195b4e-6935-4ee3-aa25-a078d2804b49","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.818844Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:ecd621e0a10f4738c1704d2dde02d45348ea0ab404c53ccb7772280a4384f1d9","observation_id":"750510ec-4db2-4515-ac64-22cb2f855f9c","resolution":{"observed_at":"2026-08-06T22:44:43.630376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.310819Z","title":null,"venue":null,"work_id":"14813a67-8b8d-436b-bcad-a1015633aff8","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.934647Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:6a712cfb8f441647d11776e91676ea5458ca3709856e4d92370be54dd4d41367","observation_id":"55109f79-6c35-4b69-b6d3-b0cb14c348b3","resolution":{"observed_at":"2026-08-06T22:44:43.395505Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.226417Z","title":null,"venue":null,"work_id":"7fa31496-7a39-46a9-969a-05d6cf318a30","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.992758Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:4e071cc4e2e3d62165817cb5287bae427230efd27928303be8d1cf8613556d95","observation_id":"dd961230-38e5-4bc4-8cb3-f784143e1766","resolution":{"observed_at":"2026-08-06T22:44:43.246385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.213913Z","title":null,"venue":null,"work_id":"568d8eac-46b0-4273-9996-9174317a2bfc","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.056150Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:fcdeb03f56148563976d9f06af508b23a95f4ad6265d027869b20eea58006094","observation_id":"42d4cb0e-d920-4df9-8212-180aec9926f5","resolution":{"observed_at":"2026-08-06T22:44:43.217354Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:43.176461Z","title":null,"venue":null,"work_id":"4993b01f-9bdf-49a9-8d71-7f374fc56f71","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.113985Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:7b7153eca8045c07a5cfffe0709a1340c34e84dbef4a26842d8323170671158e","observation_id":"8994a680-6a65-4789-9b84-7243a16d9c53","resolution":{"observed_at":"2026-08-06T22:44:43.208070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.970498Z","title":null,"venue":null,"work_id":"e13e98bb-a3e4-418e-8139-1a2784a46595","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.195982Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:ce2c648785b8c12825a7ea63cc0070c77bf6c5f5b0a9caeaff697e14f0524bc5","observation_id":"178196cc-ae0c-4fdb-80f2-3c30d546e354","resolution":{"observed_at":"2026-08-06T22:44:43.040648Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.920359Z","title":null,"venue":null,"work_id":"91b4f09a-df70-4f4c-804c-d1eb7524e3b9","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.276019Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:f66ecbc0729f05280e9c6e5e7ed6c6c0d3395166951110e965c68103d8435835","observation_id":"072e5a6f-470b-4644-a2c1-dc01d72d8bb3","resolution":{"observed_at":"2026-08-06T22:44:42.965247Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.804335Z","title":"Observe that the balls B(x j, δ","venue":null,"work_id":"8f6e28cc-71bd-44a4-bc57-ac46167d8fae","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.351492Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:937b94e553e656ea9a2cbff246578287ebb688167ca7c9a287f8704c2f19eba8","observation_id":"5667a855-db45-4c4b-b34e-80143ab6ffdd","resolution":{"observed_at":"2026-08-06T22:44:42.844194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.665265Z","title":"Indeed, if j > k > 0 we have x j ∈ EN− j and xk ∈ EN−k, so that d(x j, xk) ≥ δ by the third property of the Eis","venue":null,"work_id":"b7b3ba9e-dffe-4db7-a52a-62603cdbac7c","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.428254Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:2bdb0e84a7b565910a9dc83d47968738d8d3ce9d2961ebdaac5671518457b576","observation_id":"b6a48a8f-77af-454e-ada7-0b658334ef04","resolution":{"observed_at":"2026-08-06T22:44:42.747462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.521470Z","title":null,"venue":null,"work_id":"3a7acc67-649e-4664-a1ea-f776d2b2aea5","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.506913Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:2417c96ee7891f38906ea3113f6261a65ba98b4ebb2a5b7a39ce4cd0c08eca3e","observation_id":"3782f6a5-81a3-4d88-ba9a-54f1220204c3","resolution":{"observed_at":"2026-08-06T22:44:42.584469Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.375820Z","title":null,"venue":null,"work_id":"339058d3-feb7-416d-9819-1f8356ff9692","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.567318Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:8c082f6a3bcfc6b46f653a925d0adf3ac7cb0976f5dd65936957922a46b9703b","observation_id":"d052ef53-0315-4f6d-b661-e420af55efdc","resolution":{"observed_at":"2026-08-06T22:44:42.462874Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.218859Z","title":null,"venue":null,"work_id":"3606d37d-8b2a-4e26-b522-234b9d0350ca","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.635009Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:f7f517d0e56bb3fd4863c415c9c7002fcf8a0dbca52ec08c2d310c01e838ff8e","observation_id":"680224f1-cc37-4766-8296-879a3717e266","resolution":{"observed_at":"2026-08-06T22:44:42.283833Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T22:44:42.044995Z","title":"We claim that the instance is not robustly trapped in any of the above cases","venue":null,"work_id":"10d2cdbd-67d7-43eb-95f3-760df62b7b2f","year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:41.715066Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:41407859cafa8b58d82f9a61c8a070b80f5aa57fc5a5591946b5380da00e8b51","observation_id":"af4b3085-f8d7-4aab-b2cb-bb792b6ff532","resolution":{"observed_at":"2026-08-06T22:44:42.134447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s0097539703425861","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"7 Lenore Blum, Felipe Cucker, Michael Shub, and Steve Smale","venue":"SIAM Journal on Computing","work_id":"bca10eed-4cab-46f7-a800-f6d7cd02d2f9","year":1998},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.008152Z"},"links":{"citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:f1953debd74a259d871013763755b4d55278ea41dbe498cc89d4d556cbac4661","observation_id":"3e856ced-0fa5-4774-acde-a7bc43800147","resolution":{"observed_at":"2026-08-06T22:44:41.844070Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1204.3763","last_updated":"2015-03-02T22:19:58Z","snapshot_observed_at":"2026-08-05T15:05:22.284775Z","submitted_at":"2012-04-17T11:28:09Z","title":"On the topological aspects of the theory of represented spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.3763","snapshot_observed_at":"2026-08-06T22:44:40.189026Z","title":"29 Joël Ouaknine and James Worrell","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-06T22:44:40.189026Z"},"links":{"cited_paper":"/paper/1204.3763","citing_paper":"/paper/2506.21481"},"observation_digest":"sha256:ffbf5a89b43c226ee244d3a5552a4952da5a2179a1263728b702ac634dc33291","observation_id":"fa75f3af-ea21-4c37-88a4-7c7ad2832caf","resolution":{"observed_at":"2026-08-06T22:44:40.189026Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.21481","last_updated":"2025-06-26T17:10:46Z","latest_version":1,"primary_category":"cs.LO","snapshot_observed_at":"2026-08-09T07:26:51.529480Z","submitted_at":"2025-06-26T17:10:46Z","title":"Deciding Robust Instances of an Escape Problem for Dynamical Systems in Euclidean Space"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":4,"unresolved":11,"verified_exact":1,"verified_fuzzy":7},"total_outbound_references":24},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.21481."}