{"as_of":"2026-08-13T21:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c48ac29cadf6bda1f6aa24cae8ec49b2032b23f889145d8514ae8dd13056ea1e","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:05:43.305226Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-12T14:05:45.195579Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1801.04852","last_updated":"2019-05-01T12:52:22Z","snapshot_observed_at":"2026-07-06T06:18:39.800151Z","submitted_at":"2018-01-15T15:46:42Z","title":"Border rank is not multiplicative under the tensor product","version":2},"cited_work":{"arxiv_id":"1801.04852","doi":null,"metadata_source":"pith","pith_arxiv_id":"1801.04852","snapshot_observed_at":"2026-08-12T14:05:45.195579Z","title":"Border rank is not multiplicative under the tensor product","venue":"math.AG","work_id":"df56c3ed-2cc5-4d64-a19a-c1321e7b8fbb","year":2018},"citing_paper":{"arxiv_id":"2411.15789","last_updated":"2026-06-07T19:57:04Z","snapshot_observed_at":"2026-08-12T13:51:40.791868Z","submitted_at":"2024-11-24T11:35:38Z","title":"Asymptotic tensor rank is characterized by polynomials","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-12T14:05:43.305226Z"},"links":{"cited_paper":"/paper/1801.04852","citing_paper":"/paper/2411.15789"},"observation_digest":"sha256:d4918b30310194be0b1ae98221efcca8310241f03c4dc673b4087f8a3b2abb55","observation_id":"8e726ccd-1e18-44b2-a733-2d0a7b95b0e1","resolution":{"observed_at":"2026-08-12T14:05:45.204182Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/1801.04852/citation-record","integrity":"/paper/1801.04852/integrity","json":"/paper/1801.04852/citation-record.json","paper":"/paper/1801.04852"},"outbound":[],"paper":{"arxiv_id":"1801.04852","last_updated":"2019-05-01T12:52:22Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-07-06T06:18:39.800151Z","submitted_at":"2018-01-15T15:46:42Z","title":"Border rank is not multiplicative under the tensor product"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1801.04852."}