{"as_of":"2026-08-14T07:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2e35b92594c6eef90da7f5793ff22974de88b89eeddabd9e2a6522343b50ba0a","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T19:57:58.500403Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-24T01:33:43.220332Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2305.16722","last_updated":"2025-05-19T10:32:47Z","snapshot_observed_at":"2026-08-13T11:32:41.515665Z","submitted_at":"2023-05-26T08:21:04Z","title":"Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\\ell^p$-Heisenberg groups","version":2},"cited_work":{"arxiv_id":"2305.16722","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.16722","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Borza and K","venue":null,"work_id":"eae37b66-cd2e-4a4b-9ccb-6c476663abf3","year":2023},"citing_paper":{"arxiv_id":"2405.08605","last_updated":"2026-05-17T08:35:27Z","snapshot_observed_at":"2026-07-06T18:14:12.170084Z","submitted_at":"2024-05-14T13:42:47Z","title":"On gradient estimates of the heat semigroups on step-two Carnot groups","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T01:29:36.030480Z"},"links":{"cited_paper":"/paper/2305.16722","citing_paper":"/paper/2405.08605"},"observation_digest":"sha256:1e2b0b9f45c6fe04eb0a7bbada56b3fb2de5c0cf713a2eac6cdc5776c3e4ac4e","observation_id":"6481d5f3-7c35-4adb-a1e6-db0a6bb3aa67","resolution":{"observed_at":"2026-05-24T01:33:43.223356Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":{"arxiv_id":"2305.16722","last_updated":"2025-05-19T10:32:47Z","snapshot_observed_at":"2026-08-13T11:32:41.515665Z","submitted_at":"2023-05-26T08:21:04Z","title":"Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\\ell^p$-Heisenberg groups","version":2},"cited_work":{"arxiv_id":"2305.16722","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.16722","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Borza and K","venue":null,"work_id":"eae37b66-cd2e-4a4b-9ccb-6c476663abf3","year":2023},"citing_paper":{"arxiv_id":"2602.05740","last_updated":"2026-04-17T07:33:40Z","snapshot_observed_at":"2026-07-06T22:44:42.380489Z","submitted_at":"2026-02-05T15:05:30Z","title":"Busemann and MCP","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-16T07:01:32.042815Z"},"links":{"cited_paper":"/paper/2305.16722","citing_paper":"/paper/2602.05740"},"observation_digest":"sha256:a8af368bc04ff9a8dfbe11b931c9a93edbd7a1d120f32918db176c6d1b650a27","observation_id":"40399bf1-55c3-491e-861f-02feffc3fe24","resolution":{"observed_at":"2026-05-16T07:02:29.017768Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":{"arxiv_id":"2305.16722","last_updated":"2025-05-19T10:32:47Z","snapshot_observed_at":"2026-08-13T11:32:41.515665Z","submitted_at":"2023-05-26T08:21:04Z","title":"Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\\ell^p$-Heisenberg groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.16722","snapshot_observed_at":"2026-08-01T19:57:58.500403Z","title":"Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler ℓp-Heisenberg groups","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16817","last_updated":"2026-07-18T13:21:11Z","snapshot_observed_at":"2026-08-12T13:10:00.308751Z","submitted_at":"2026-07-18T13:21:11Z","title":"Sub-Finslerian Interpolation Inequalities","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T19:57:58.500403Z"},"links":{"cited_paper":"/paper/2305.16722","citing_paper":"/paper/2607.16817"},"observation_digest":"sha256:1ea48a9555594c4c3f4857347d33d46fef77868840ac6297e0cd1d5219284957","observation_id":"9d648554-34fb-40c6-af79-9245105c7a44","resolution":{"observed_at":"2026-08-01T19:57:58.500403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2305.16722/citation-record","integrity":"/paper/2305.16722/integrity","json":"/paper/2305.16722/citation-record.json","paper":"/paper/2305.16722"},"outbound":[],"paper":{"arxiv_id":"2305.16722","last_updated":"2025-05-19T10:32:47Z","latest_version":2,"primary_category":"math.MG","snapshot_observed_at":"2026-08-13T11:32:41.515665Z","submitted_at":"2023-05-26T08:21:04Z","title":"Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\\ell^p$-Heisenberg groups"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2305.16722."}