{"as_of":"2026-08-16T13:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:22174ffdfa2239d40e1015bee659653f8b9f051b4fe9e71383bcc48607e9a808","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:00:07.386670Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"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/1908.06323/citation-record","integrity":"/paper/1908.06323/integrity","json":"/paper/1908.06323/citation-record.json","paper":"/paper/1908.06323"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1705.01690","last_updated":"2022-04-29T23:56:46Z","snapshot_observed_at":"2026-08-14T21:02:54.767763Z","submitted_at":"2017-05-04T03:33:42Z","title":"Universality of the Homotopy Interleaving Distance","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.01690","snapshot_observed_at":"2026-08-14T13:00:07.369148Z","title":"Blumberg and Michael Lesnick","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.06323","last_updated":"2019-08-17T17:39:12Z","snapshot_observed_at":"2026-08-16T03:34:21.586202Z","submitted_at":"2019-08-17T17:39:12Z","title":"Data and homotopy types","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:00:07.369148Z"},"links":{"cited_paper":"/paper/1705.01690","citing_paper":"/paper/1908.06323"},"observation_digest":"sha256:d15b32048643f088b303e0508e1a6e25e9b0fd97e967b515ce371ea0fdc4b85e","observation_id":"23134983-9674-4342-ad16-105d518b1d77","resolution":{"observed_at":"2026-08-14T13:00:07.369148Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:00:07.463845Z","title":"Characterization, stabilit y and con- vergence of hierarchical clustering methods","venue":null,"work_id":"311e28f2-2122-420e-ae89-08866d1e73b3","year":2010},"citing_paper":{"arxiv_id":"1908.06323","last_updated":"2019-08-17T17:39:12Z","snapshot_observed_at":"2026-08-16T03:34:21.586202Z","submitted_at":"2019-08-17T17:39:12Z","title":"Data and homotopy types","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:00:07.373660Z"},"links":{"citing_paper":"/paper/1908.06323"},"observation_digest":"sha256:fdef3e4d50474d2294ed2b0367116206ac53a090ddc471cbe0267cf407468aa7","observation_id":"c407d853-3abd-48fb-b529-23a85ead9aef","resolution":{"observed_at":"2026-08-14T13:00:07.468585Z","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":"2026-08-14T13:00:07.452269Z","title":null,"venue":null,"work_id":"a3dbf4aa-012c-41a1-b450-76309d3c1679","year":2019},"citing_paper":{"arxiv_id":"1908.06323","last_updated":"2019-08-17T17:39:12Z","snapshot_observed_at":"2026-08-16T03:34:21.586202Z","submitted_at":"2019-08-17T17:39:12Z","title":"Data and homotopy types","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:00:07.378167Z"},"links":{"citing_paper":"/paper/1908.06323"},"observation_digest":"sha256:cc98b0445cbd2524459bcb837dbbd83f20ce612c30373a7a8a3e900dad75aa15","observation_id":"4a3df62b-a67e-4bbf-9d3d-4713a52ece43","resolution":{"observed_at":"2026-08-14T13:00:07.456125Z","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":"2026-08-14T13:00:07.440942Z","title":"Lesnick and M","venue":null,"work_id":"479ccf27-f3c7-42f6-a974-8f7d411eaff7","year":2019},"citing_paper":{"arxiv_id":"1908.06323","last_updated":"2019-08-17T17:39:12Z","snapshot_observed_at":"2026-08-16T03:34:21.586202Z","submitted_at":"2019-08-17T17:39:12Z","title":"Data and homotopy types","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:00:07.382044Z"},"links":{"citing_paper":"/paper/1908.06323"},"observation_digest":"sha256:fb9f657f0c40c0035da4063a9267c006270dfc88dd6d8b3225c29201a9d10e81","observation_id":"d1f69451-89fb-4c1b-8bdf-92f6e1298602","resolution":{"observed_at":"2026-08-14T13:00:07.444729Z","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":"2026-08-14T13:00:07.426963Z","title":"Accelerated hierarchical densit y based clustering","venue":null,"work_id":"d9ba59b3-4d22-40b5-b6f4-65a5a3ab1561","year":2017},"citing_paper":{"arxiv_id":"1908.06323","last_updated":"2019-08-17T17:39:12Z","snapshot_observed_at":"2026-08-16T03:34:21.586202Z","submitted_at":"2019-08-17T17:39:12Z","title":"Data and homotopy types","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:00:07.386670Z"},"links":{"citing_paper":"/paper/1908.06323"},"observation_digest":"sha256:91e73f3d6c0c0765053233bc79eb94eabacf8f18ad6f5043df9fdee888906336","observation_id":"c444df77-af74-4bf6-9869-4d255948309a","resolution":{"observed_at":"2026-08-14T13:00:07.432852Z","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":"1908.06323","last_updated":"2019-08-17T17:39:12Z","latest_version":1,"primary_category":"math.AT","snapshot_observed_at":"2026-08-16T03:34:21.586202Z","submitted_at":"2019-08-17T17:39:12Z","title":"Data and homotopy types"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":5},"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 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:1908.06323."}