{"as_of":"2026-08-14T23:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f73bf6ac669a856669fc1196326ee8c054eb8c16753630f0fc24cd9c631bfe64","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":"2026-08-07T01:13:28.247893Z","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":"2026-08-14T06:32:32.682623+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/2506.11873/citation-record","integrity":"/paper/2506.11873/integrity","json":"/paper/2506.11873/citation-record.json","paper":"/paper/2506.11873"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.11001","last_updated":"2025-02-05T14:10:25Z","snapshot_observed_at":"2026-08-12T22:43:24.469388Z","submitted_at":"2024-09-17T09:05:41Z","title":"Foundations on k-contact geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.11001","snapshot_observed_at":"2026-08-07T01:13:27.804922Z","title":"ArXiv:2409.11001 [math.DG] (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11873","last_updated":"2025-06-13T15:26:02Z","snapshot_observed_at":"2026-08-07T00:59:41.599318Z","submitted_at":"2025-06-13T15:26:02Z","title":"A relation between k-symplectic and k-contact Hamiltonian systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T01:13:27.804922Z"},"links":{"cited_paper":"/paper/2409.11001","citing_paper":"/paper/2506.11873"},"observation_digest":"sha256:36ddbbf8d4e24e472ef08670833cf2ae80f532fefcdddad7845a7d77ff6f9914","observation_id":"5e667ddf-bb1f-4a8f-a175-63d3e42ab008","resolution":{"observed_at":"2026-08-07T01:13:27.804922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.05462","last_updated":"2025-05-08T17:54:10Z","snapshot_observed_at":"2026-08-07T15:48:41.741420Z","submitted_at":"2025-05-08T17:54:10Z","title":"Marsden--Meyer--Weinstein reduction for $k$-contact field theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.05462","snapshot_observed_at":"2026-08-07T01:13:27.899790Z","title":"ArXiv:2505.05462[math.DG] (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.11873","last_updated":"2025-06-13T15:26:02Z","snapshot_observed_at":"2026-08-07T00:59:41.599318Z","submitted_at":"2025-06-13T15:26:02Z","title":"A relation between k-symplectic and k-contact Hamiltonian systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T01:13:27.899790Z"},"links":{"cited_paper":"/paper/2505.05462","citing_paper":"/paper/2506.11873"},"observation_digest":"sha256:e11506c8eb86ca67ea6319e8a007b5bfc2f9d76b43faa7f8206e6d23eaa1fb1d","observation_id":"a87a47a4-fb38-414d-af0d-2dcaf162811b","resolution":{"observed_at":"2026-08-07T01:13:27.899790Z","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":"2026-08-07T01:13:28.794164Z","title":null,"venue":null,"work_id":"aa67e869-67be-4832-b611-b37a7bf6e6c2","year":2020},"citing_paper":{"arxiv_id":"2506.11873","last_updated":"2025-06-13T15:26:02Z","snapshot_observed_at":"2026-08-07T00:59:41.599318Z","submitted_at":"2025-06-13T15:26:02Z","title":"A relation between k-symplectic and k-contact Hamiltonian systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T01:13:28.020058Z"},"links":{"citing_paper":"/paper/2506.11873"},"observation_digest":"sha256:65d8b573c3125ead6f4ba9c21e4bd36fd8e5deecce6a26e7debe7121cf92548c","observation_id":"f3abd97a-8e0d-418d-91d5-926d95768f32","resolution":{"observed_at":"2026-08-07T01:13:28.903449Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T01:13:28.561728Z","title":null,"venue":null,"work_id":"5f8cbe1e-b95b-4bc3-ab64-6dae1a5dcd38","year":2021},"citing_paper":{"arxiv_id":"2506.11873","last_updated":"2025-06-13T15:26:02Z","snapshot_observed_at":"2026-08-07T00:59:41.599318Z","submitted_at":"2025-06-13T15:26:02Z","title":"A relation between k-symplectic and k-contact Hamiltonian systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T01:13:28.137718Z"},"links":{"citing_paper":"/paper/2506.11873"},"observation_digest":"sha256:f3916f9264ed21c651f0af088ff9c22cc221eccda9f9cd4db2222a73a224befb","observation_id":"88f733e7-6fae-42cf-9000-7b9551a95bc2","resolution":{"observed_at":"2026-08-07T01:13:28.665497Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T01:13:28.370122Z","title":"Vilariño, S.: Methods of Differential Geometry in Classical Field Theories","venue":null,"work_id":"ed59ea66-2aa0-4e0e-8316-4536265c57b9","year":2015},"citing_paper":{"arxiv_id":"2506.11873","last_updated":"2025-06-13T15:26:02Z","snapshot_observed_at":"2026-08-07T00:59:41.599318Z","submitted_at":"2025-06-13T15:26:02Z","title":"A relation between k-symplectic and k-contact Hamiltonian systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T01:13:28.247893Z"},"links":{"citing_paper":"/paper/2506.11873"},"observation_digest":"sha256:de9528e124dcc0a6f803a9610b470db543c64ed045fb634837c4a335c6775492","observation_id":"2cd4397d-8517-4a0f-914b-a26aac7446c6","resolution":{"observed_at":"2026-08-07T01:13:28.432714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.11873","last_updated":"2025-06-13T15:26:02Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-07T00:59:41.599318Z","submitted_at":"2025-06-13T15:26:02Z","title":"A relation between k-symplectic and k-contact Hamiltonian systems"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":1},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2506.11873."}