{"as_of":"2026-08-08T23:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aefa2b6e7aa229f39f03f6dec48674826e0dc4995fdd6803cf894a7f527e354d","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T19:55:49.796969Z","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":"2026-05-11T18:16:11.339671Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2102.03659","last_updated":"2021-02-06T20:14:50Z","snapshot_observed_at":"2026-08-07T02:19:07.985917Z","submitted_at":"2021-02-06T20:14:50Z","title":"On the Schmidt and analytic ranks for trilinear forms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.03659","snapshot_observed_at":"2026-08-07T19:55:49.796969Z","title":"On the schmidt and analytic ranks for trilinear forms","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.10007","last_updated":"2026-08-03T15:55:05Z","snapshot_observed_at":"2026-08-07T19:40:33.184859Z","submitted_at":"2025-02-14T08:41:57Z","title":"Strength and partition rank under limits and field extensions","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T19:55:49.796969Z"},"links":{"cited_paper":"/paper/2102.03659","citing_paper":"/paper/2502.10007"},"observation_digest":"sha256:7cb5cfcf2c12345ab8eedb68b6e0941368ce61604395713189b9ea07376c5f43","observation_id":"6b393b1a-fded-4f65-b079-9b55a34da7a8","resolution":{"observed_at":"2026-08-07T19:55:49.796969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.03659","last_updated":"2021-02-06T20:14:50Z","snapshot_observed_at":"2026-08-07T02:19:07.985917Z","submitted_at":"2021-02-06T20:14:50Z","title":"On the Schmidt and analytic ranks for trilinear forms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.03659","snapshot_observed_at":"2026-08-05T00:08:32.330384Z","title":"Adiprasito, D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.06294","last_updated":"2025-09-08T02:35:50Z","snapshot_observed_at":"2026-08-05T00:08:31.647994Z","submitted_at":"2025-09-08T02:35:50Z","title":"Slice rank and partition rank of the determinant","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T00:08:32.330384Z"},"links":{"cited_paper":"/paper/2102.03659","citing_paper":"/paper/2509.06294"},"observation_digest":"sha256:612007b5b6fd546f7863fc32b567dd6d86a37ba9cb16e903e3d3b7e5c70ab865","observation_id":"02e1108c-cf2c-443e-b951-0f5e84495e75","resolution":{"observed_at":"2026-08-05T00:08:32.330384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.03659","last_updated":"2021-02-06T20:14:50Z","snapshot_observed_at":"2026-08-07T02:19:07.985917Z","submitted_at":"2021-02-06T20:14:50Z","title":"On the Schmidt and analytic ranks for trilinear forms","version":1},"cited_work":{"arxiv_id":"2102.03659","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.03659","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Adiprasito, D","venue":null,"work_id":"5e1047f8-ece0-4d6f-9f73-1d9867cbe645","year":2021},"citing_paper":{"arxiv_id":"2605.04859","last_updated":"2026-05-06T12:56:05Z","snapshot_observed_at":"2026-07-06T23:17:33.252539Z","submitted_at":"2026-05-06T12:56:05Z","title":"Geometry of multilinear varieties over infinite fields and its applications","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-08T16:21:39.361676Z"},"links":{"cited_paper":"/paper/2102.03659","citing_paper":"/paper/2605.04859"},"observation_digest":"sha256:a1e440a93766c862ca7a580efc8bb30c8beb414b32f987a5708ca82a64de9e7d","observation_id":"88bdc47c-fe93-48ef-a8a3-74a0335c17fc","resolution":{"observed_at":"2026-05-11T18:16:11.342623Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2102.03659/citation-record","integrity":"/paper/2102.03659/integrity","json":"/paper/2102.03659/citation-record.json","paper":"/paper/2102.03659"},"outbound":[],"paper":{"arxiv_id":"2102.03659","last_updated":"2021-02-06T20:14:50Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-07T02:19:07.985917Z","submitted_at":"2021-02-06T20:14:50Z","title":"On the Schmidt and analytic ranks for trilinear forms"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2102.03659."}