{"as_of":"2026-08-08T02:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:667c26b274bc2a93c22bc7f116035a58e2ce8435948c6eda8d60ef19133b60b7","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:52:34.021482Z","state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.04472/citation-record","integrity":"/paper/2506.04472/integrity","json":"/paper/2506.04472/citation-record.json","paper":"/paper/2506.04472"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:52:34.088471Z","title":"Homotopy limits in type theory","venue":null,"work_id":"3b053b00-f11d-49d3-8c78-379e7bc09abe","year":2015},"citing_paper":{"arxiv_id":"2506.04472","last_updated":"2025-06-04T21:43:51Z","snapshot_observed_at":"2026-08-07T10:39:03.086086Z","submitted_at":"2025-06-04T21:43:51Z","title":"Pushforwards in Inverse Homotopical Diagrams","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:52:34.009198Z"},"links":{"citing_paper":"/paper/2506.04472"},"observation_digest":"sha256:9a994a1f21200974bf4ddfdbddae1bbcde267034238963f895831c7dbf9fa233","observation_id":"a45a561f-d144-40fd-b0c9-37c672ca3002","resolution":{"observed_at":"2026-08-07T10:52:34.092287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:52:34.076271Z","title":"Cubical setting for discrete homotopy theory, revisited","venue":null,"work_id":"cffb05fe-3518-46c5-8b61-71c2778c5d0c","year":2024},"citing_paper":{"arxiv_id":"2506.04472","last_updated":"2025-06-04T21:43:51Z","snapshot_observed_at":"2026-08-07T10:39:03.086086Z","submitted_at":"2025-06-04T21:43:51Z","title":"Pushforwards in Inverse Homotopical Diagrams","version":1},"reference_index":180,"source":"pdf_text","source_observed_at":"2026-08-07T10:52:34.013760Z"},"links":{"citing_paper":"/paper/2506.04472"},"observation_digest":"sha256:67a06d1c4ed45e9af0d2843733d4137691224f288f8895883c6b55737bdeb06a","observation_id":"0a3fae9e-b0fa-4741-92a7-c058b2134044","resolution":{"observed_at":"2026-08-07T10:52:34.080207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0610009","last_updated":"2009-02-08T15:40:18Z","snapshot_observed_at":"2026-07-07T06:00:49.875115Z","submitted_at":"2006-09-30T01:12:09Z","title":"Cofibrations in Homotopy Theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0610009","snapshot_observed_at":"2026-08-07T10:52:34.021482Z","title":"Univalence for inverse diagrams and homotopy canonicity","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.04472","last_updated":"2025-06-04T21:43:51Z","snapshot_observed_at":"2026-08-07T10:39:03.086086Z","submitted_at":"2025-06-04T21:43:51Z","title":"Pushforwards in Inverse Homotopical Diagrams","version":1},"reference_index":2009,"source":"pdf_text","source_observed_at":"2026-08-07T10:52:34.021482Z"},"links":{"cited_paper":"/paper/math/0610009","citing_paper":"/paper/2506.04472"},"observation_digest":"sha256:9c3638825937d5c192839e9ba5df20c01e8d820b15ca8c0c095a36f274c0566d","observation_id":"f6e35044-87e5-4c56-a660-5cf3b1e7adbe","resolution":{"observed_at":"2026-08-07T10:52:34.021482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11728","last_updated":"2024-10-15T16:00:33Z","snapshot_observed_at":"2026-07-06T19:33:57.090585Z","submitted_at":"2024-10-15T16:00:33Z","title":"Logical Structure on Inverse Functor Categories","version":1},"cited_work":{"arxiv_id":"2410.11728","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.11728","snapshot_observed_at":"2026-08-07T10:52:34.062597Z","title":"Logical Structure on Inverse Functor Categories","venue":"math.CT","work_id":"41e0f7f4-01ef-4670-8c28-84dad163dabb","year":2024},"citing_paper":{"arxiv_id":"2506.04472","last_updated":"2025-06-04T21:43:51Z","snapshot_observed_at":"2026-08-07T10:39:03.086086Z","submitted_at":"2025-06-04T21:43:51Z","title":"Pushforwards in Inverse Homotopical Diagrams","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T10:52:34.017453Z"},"links":{"cited_paper":"/paper/2410.11728","citing_paper":"/paper/2506.04472"},"observation_digest":"sha256:7bf1effc5c88adaaaecb63b7f1175a077126b1a295659f4b3c107e713462e51b","observation_id":"3875cf0e-bd7a-43c8-8d73-2ce59ee6e4e9","resolution":{"observed_at":"2026-08-07T10:52:34.068179Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.04472","last_updated":"2025-06-04T21:43:51Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-07T10:39:03.086086Z","submitted_at":"2025-06-04T21:43:51Z","title":"Pushforwards in Inverse Homotopical Diagrams"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":2},"total_outbound_references":4},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2506.04472."}