{"as_of":"2026-08-21T05:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9844b0e5ba959bd4a47c83165522d654a4f50684a19cd88555a09f4adeada7d6","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":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":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:46:22.100230Z","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":"2026-07-04T11:29:51.344426Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1801.02662","last_updated":"2019-02-09T23:31:47Z","snapshot_observed_at":"2026-08-20T00:23:39.601443Z","submitted_at":"2018-01-08T19:55:19Z","title":"Tensor network ranks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.02662","snapshot_observed_at":"2026-08-14T13:46:22.100230Z","title":"Ye and L.-H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.04471","last_updated":"2019-11-27T09:08:40Z","snapshot_observed_at":"2026-08-20T04:34:04.134483Z","submitted_at":"2019-08-13T03:11:46Z","title":"Einconv: Exploring Unexplored Tensor Network Decompositions for Convolutional Neural Networks","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:46:22.100230Z"},"links":{"cited_paper":"/paper/1801.02662","citing_paper":"/paper/1908.04471"},"observation_digest":"sha256:7bb76912ec309016b1ac8b30950e055e749e32cd8616116e9e680a1e2b54f59e","observation_id":"66d4ef87-fd63-4e96-a526-1edbd483a50c","resolution":{"observed_at":"2026-08-14T13:46:22.100230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.02662","last_updated":"2019-02-09T23:31:47Z","snapshot_observed_at":"2026-08-20T00:23:39.601443Z","submitted_at":"2018-01-08T19:55:19Z","title":"Tensor network ranks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.02662","snapshot_observed_at":"2026-08-04T19:19:15.603067Z","title":"Dimension of Tensor Network Varieties","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09463","last_updated":"2025-09-11T13:44:49Z","snapshot_observed_at":"2026-08-20T00:24:05.851234Z","submitted_at":"2025-09-11T13:44:49Z","title":"Minimality of Tree Tensor Network Ranks","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-04T19:19:15.603067Z"},"links":{"cited_paper":"/paper/1801.02662","citing_paper":"/paper/2509.09463"},"observation_digest":"sha256:c5c243589419ea3ef3091d03887f39d9edb2f8cdf3014de5c3d6d3e7d230192b","observation_id":"1c1a385b-2193-44f2-861b-db8da6958027","resolution":{"observed_at":"2026-08-04T19:19:15.603067Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.02662","last_updated":"2019-02-09T23:31:47Z","snapshot_observed_at":"2026-08-20T00:23:39.601443Z","submitted_at":"2018-01-08T19:55:19Z","title":"Tensor network ranks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.02662","snapshot_observed_at":"2026-08-03T19:30:23.031935Z","title":"Tensor network ranks.arXiv preprint arXiv:1801.02662, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01016","last_updated":"2026-07-06T15:38:39Z","snapshot_observed_at":"2026-08-14T17:34:07.996072Z","submitted_at":"2025-11-30T18:20:59Z","title":"A Provably Efficient Method for Tensor Ring Decomposition and Its Applications","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T19:30:23.031935Z"},"links":{"cited_paper":"/paper/1801.02662","citing_paper":"/paper/2512.01016"},"observation_digest":"sha256:537404d2cd8166b0958371f9ea4f2b05562676c65ac7b8a83a95da91bd4534f5","observation_id":"4c218b17-682b-4494-b429-987d947fca78","resolution":{"observed_at":"2026-08-03T19:30:23.031935Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.02662","last_updated":"2019-02-09T23:31:47Z","snapshot_observed_at":"2026-08-20T00:23:39.601443Z","submitted_at":"2018-01-08T19:55:19Z","title":"Tensor network ranks","version":2},"cited_work":{"arxiv_id":"1801.02662","doi":null,"metadata_source":"pith","pith_arxiv_id":"1801.02662","snapshot_observed_at":"2026-07-04T11:29:51.344426Z","title":"Tensor network ranks","venue":"math.NA","work_id":"87e309a9-e271-421a-af32-735406a1dd86","year":2018},"citing_paper":{"arxiv_id":"2606.23372","last_updated":"2026-06-22T14:07:33Z","snapshot_observed_at":"2026-08-13T01:25:08.023942Z","submitted_at":"2026-06-22T14:07:33Z","title":"Bounding Classical and Quantum Correlations in Bayesian Networks with Quasiprobabilities","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-26T07:55:47.697849Z"},"links":{"cited_paper":"/paper/1801.02662","citing_paper":"/paper/2606.23372"},"observation_digest":"sha256:e7b3718038a78b117def2084afc64036ef7b5f968cdde794594018246c6c1db1","observation_id":"5cfce053-89e7-4260-8b09-b6be3dc7d136","resolution":{"observed_at":"2026-07-04T11:29:51.345486Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.02662","last_updated":"2019-02-09T23:31:47Z","snapshot_observed_at":"2026-08-20T00:23:39.601443Z","submitted_at":"2018-01-08T19:55:19Z","title":"Tensor network ranks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.02662","snapshot_observed_at":"2026-08-11T00:40:36.657617Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.07611","last_updated":"2026-08-06T22:00:44Z","snapshot_observed_at":"2026-08-14T02:49:41.954807Z","submitted_at":"2026-08-06T22:00:44Z","title":"Two-Cut Coherence of Quintic Forms: Lifting Separations and Second-Derivative Completeness","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T00:40:36.657617Z"},"links":{"cited_paper":"/paper/1801.02662","citing_paper":"/paper/2608.07611"},"observation_digest":"sha256:2e451650f268d4673b769242e4a8715fc3ea4675007f8fedd6fca1581ab38ea4","observation_id":"a986fc7c-cde4-4e34-b521-2c09d153ef36","resolution":{"observed_at":"2026-08-11T00:40:36.657617Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1801.02662/citation-record","integrity":"/paper/1801.02662/integrity","json":"/paper/1801.02662/citation-record.json","paper":"/paper/1801.02662"},"outbound":[],"paper":{"arxiv_id":"1801.02662","last_updated":"2019-02-09T23:31:47Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-20T00:23:39.601443Z","submitted_at":"2018-01-08T19:55:19Z","title":"Tensor network ranks"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1801.02662."}