{"as_of":"2026-08-22T14:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e1ef972f35034fe676d305dbb17b5b9e07c27ce3a8857b0376b3484ecef2e891","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T09:10:06.032979Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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/2605.28461/citation-record","integrity":"/paper/2605.28461/integrity","json":"/paper/2605.28461/citation-record.json","paper":"/paper/2605.28461"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T09:10:06.032979Z","title":"Grayson, Algebraic K -theory via binary complexes , J","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-29T09:10:06.032979Z"},"links":{"citing_paper":"/paper/2605.28461"},"observation_digest":"sha256:e4b404cb5919b5135e3f17b77efb754971348c01d44e81df6d2f7c99af01f530","observation_id":"31f70675-0be3-4787-af34-25acb7487c56","resolution":{"observed_at":"2026-06-29T09:10:06.032979Z","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":"2026-06-29T09:10:06.032979Z","title":"K-Theory 2 (2017), no","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-29T09:10:06.032979Z"},"links":{"citing_paper":"/paper/2605.28461"},"observation_digest":"sha256:9fe7e29772d53f6e5d771aee1572ee495ba236b16d2e8b947f0e1b0623a938c6","observation_id":"03c9c951-d8ca-4399-95cb-72008d6a7f51","resolution":{"observed_at":"2026-06-29T09:10:06.032979Z","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":"2026-06-29T09:10:06.032979Z","title":"1, 203--213","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-29T09:10:06.032979Z"},"links":{"citing_paper":"/paper/2605.28461"},"observation_digest":"sha256:48a353138f69fef3f51cdd00ab81b65e005dd2478b7dedbb4a388b9fcdee9991","observation_id":"60c3d2d4-8308-465a-9a67-3f59d3237250","resolution":{"observed_at":"2026-06-29T09:10:06.032979Z","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":"2026-06-29T09:10:06.032979Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-29T09:10:06.032979Z"},"links":{"citing_paper":"/paper/2605.28461"},"observation_digest":"sha256:097405238c1f0f155029591f3da86cd1c8ba57fbe6b385c5c06cc0923c208449","observation_id":"ce441106-affe-4ca2-a798-56650e7b5845","resolution":{"observed_at":"2026-06-29T09:10:06.032979Z","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":"2026-06-29T09:10:06.032979Z","title":"Nenashev, K_1 by generators and relations , J","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-29T09:10:06.032979Z"},"links":{"citing_paper":"/paper/2605.28461"},"observation_digest":"sha256:fa6b2298b44db09ecb0757241346087bc3fefbdd3f20b84131014ded52063272","observation_id":"5e56f926-22c4-42ce-9c25-fd77b21bedfe","resolution":{"observed_at":"2026-06-29T09:10:06.032979Z","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":"2026-06-29T09:10:06.032979Z","title":"341, Springer, Berlin, 1973, 85--147","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-29T09:10:06.032979Z"},"links":{"citing_paper":"/paper/2605.28461"},"observation_digest":"sha256:35fa1a81409e0307b5ce663343ee23f94e3a364b5b67991a26a554eaec612c1e","observation_id":"44c0003a-1abc-4284-a6c3-31e04a358597","resolution":{"observed_at":"2026-06-29T09:10:06.032979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.28461","last_updated":"2026-05-27T13:28:10Z","latest_version":1,"primary_category":"math.KT","snapshot_observed_at":"2026-08-14T17:24:27.690942Z","submitted_at":"2026-05-27T13:28:10Z","title":"On presentations of K-groups by generators and relations"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":6},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2605.28461."}