{"as_of":"2026-08-14T06:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:41fea9020f45ef4589df43a34b48e4a10fb680bfeb5661433ba8267ce1e5d346","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":"2026-08-06T13:12:02.311228Z","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":"2026-08-13T06:32:02.005865+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/2507.21282/citation-record","integrity":"/paper/2507.21282/integrity","json":"/paper/2507.21282/citation-record.json","paper":"/paper/2507.21282"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:12:02.264524Z","title":"Infinitely many monotone Lagrangian tori in R6","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.21282","last_updated":"2025-07-28T19:08:30Z","snapshot_observed_at":"2026-08-12T01:03:58.098811Z","submitted_at":"2025-07-28T19:08:30Z","title":"Tightness of Chekanov's bound on displacement energy for some Lagrangian knots","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T13:12:02.264524Z"},"links":{"citing_paper":"/paper/2507.21282"},"observation_digest":"sha256:abc92132db1a33d56ee5a772a87f9c3aff566554c93afff4d5ec117cb5cc9378","observation_id":"7db28a4f-353d-44d8-a201-103c590b04dd","resolution":{"observed_at":"2026-08-06T13:12:02.264524Z","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":"2026-08-06T13:12:02.384400Z","title":"Special Lagrangian fibrations, wall-crossing, and mirror symmetry","venue":null,"work_id":"a9c31316-4481-4e0c-a7a7-b4a198b6aace","year":1935},"citing_paper":{"arxiv_id":"2507.21282","last_updated":"2025-07-28T19:08:30Z","snapshot_observed_at":"2026-08-12T01:03:58.098811Z","submitted_at":"2025-07-28T19:08:30Z","title":"Tightness of Chekanov's bound on displacement energy for some Lagrangian knots","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T13:12:02.209786Z"},"links":{"citing_paper":"/paper/2507.21282"},"observation_digest":"sha256:10ca3c3a45e869941c890ef2e94a2cef8c908a221f8f6ad5804231a1afcb5f23","observation_id":"a93de4ca-53e7-4867-9d59-7985a64e91e8","resolution":{"observed_at":"2026-08-06T13:12:02.388372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:12:02.302788Z","title":"Holomorphic discs, spin structures, and Floer cohomol- ogy of the Clifford torus","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.21282","last_updated":"2025-07-28T19:08:30Z","snapshot_observed_at":"2026-08-12T01:03:58.098811Z","submitted_at":"2025-07-28T19:08:30Z","title":"Tightness of Chekanov's bound on displacement energy for some Lagrangian knots","version":1},"reference_index":226,"source":"pdf_text","source_observed_at":"2026-08-06T13:12:02.302788Z"},"links":{"citing_paper":"/paper/2507.21282"},"observation_digest":"sha256:e2ada4276410ffe1d0bbd363a24ca6633745a9e9937a509135edf33c27590baf","observation_id":"69449ab3-0c75-4e89-add2-3574f61b4fa6","resolution":{"observed_at":"2026-08-06T13:12:02.302788Z","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":"10.1090/amsip/002.1/18","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Lagrangian Floer theory on compact toric manifolds, I","venue":"AMS/IP studies in advanced mathematics","work_id":"3163dfc1-d574-40de-b00d-7601968831e8","year":2012},"citing_paper":{"arxiv_id":"2507.21282","last_updated":"2025-07-28T19:08:30Z","snapshot_observed_at":"2026-08-12T01:03:58.098811Z","submitted_at":"2025-07-28T19:08:30Z","title":"Tightness of Chekanov's bound on displacement energy for some Lagrangian knots","version":1},"reference_index":327,"source":"pdf_text","source_observed_at":"2026-08-06T13:12:02.307375Z"},"links":{"citing_paper":"/paper/2507.21282"},"observation_digest":"sha256:c801e32dcfb1df1ca603e0cdf13123b54b924d5d28dd17372de35178cd24951b","observation_id":"8bac5470-ca93-4df9-90e1-ed1c343f25e1","resolution":{"observed_at":"2026-08-06T13:12:02.341151Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.16356","last_updated":"2024-12-20T21:34:48Z","snapshot_observed_at":"2026-08-11T10:37:34.841840Z","submitted_at":"2024-12-20T21:34:48Z","title":"On Lagrangian Tori in $S^2\\times S^2$","version":1},"cited_work":{"arxiv_id":"2412.16356","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.16356","snapshot_observed_at":"2026-08-06T13:12:02.371925Z","title":"On Lagrangian Tori in $S^2\\times S^2$","venue":"math.SG","work_id":"684aee0d-ee3b-44bf-8455-a347c35fc62e","year":2024},"citing_paper":{"arxiv_id":"2507.21282","last_updated":"2025-07-28T19:08:30Z","snapshot_observed_at":"2026-08-12T01:03:58.098811Z","submitted_at":"2025-07-28T19:08:30Z","title":"Tightness of Chekanov's bound on displacement energy for some Lagrangian knots","version":1},"reference_index":2347,"source":"pdf_text","source_observed_at":"2026-08-06T13:12:02.311228Z"},"links":{"cited_paper":"/paper/2412.16356","citing_paper":"/paper/2507.21282"},"observation_digest":"sha256:45097ff0065d4575c1af22d2d3f3982f89cdc335437b231afeddc5a8dee5910b","observation_id":"28dd219e-890c-4301-8189-6a4d3155ec17","resolution":{"observed_at":"2026-08-06T13:12:02.375850Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.21282","last_updated":"2025-07-28T19:08:30Z","latest_version":1,"primary_category":"math.SG","snapshot_observed_at":"2026-08-12T01:03:58.098811Z","submitted_at":"2025-07-28T19:08:30Z","title":"Tightness of Chekanov's bound on displacement energy for some Lagrangian knots"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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:2507.21282."}