{"as_of":"2026-08-09T08:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:873d1f4fa781517982e6991f7b19c8e385f5dc69721a166c11decbc1c359007b","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:07:47.046106Z","state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2506.03472/citation-record","integrity":"/paper/2506.03472/integrity","json":"/paper/2506.03472/citation-record.json","paper":"/paper/2506.03472"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.15507","last_updated":"2025-05-21T13:27:14Z","snapshot_observed_at":"2026-08-07T15:14:11.082266Z","submitted_at":"2025-05-21T13:27:14Z","title":"Directional Non-Commutative Monoidal Structures for Compositional Embeddings in Machine Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.15507","snapshot_observed_at":"2026-08-07T11:07:46.645351Z","title":"Godavarti, Directional Non-Commutative Monoidal Structures for Com- positional Embeddings in Machine Learning","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.03472","last_updated":"2025-06-04T01:07:51Z","snapshot_observed_at":"2026-08-07T10:59:59.898897Z","submitted_at":"2025-06-04T01:07:51Z","title":"Directional Non-Commutative Monoidal Embeddings for MNIST","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:07:46.645351Z"},"links":{"cited_paper":"/paper/2505.15507","citing_paper":"/paper/2506.03472"},"observation_digest":"sha256:ac7dc23e07ce733b66832712751f978acfd2e5e2022afea2ff3e86832efcbda8","observation_id":"6405777f-400b-4db7-b120-71e46f7bd831","resolution":{"observed_at":"2026-08-07T11:07:46.645351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.24533","last_updated":"2025-05-30T12:40:01Z","snapshot_observed_at":"2026-08-07T12:16:50.340090Z","submitted_at":"2025-05-30T12:40:01Z","title":"Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators","version":1},"cited_work":{"arxiv_id":"2505.24533","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.24533","snapshot_observed_at":"2026-08-07T11:07:47.241090Z","title":"Directional Non-Commutative Monoidal Structures with Interchange Law via Commutative Generators","venue":"cs.LG","work_id":"9eb3dffd-9a7e-481f-b722-213d91781472","year":2025},"citing_paper":{"arxiv_id":"2506.03472","last_updated":"2025-06-04T01:07:51Z","snapshot_observed_at":"2026-08-07T10:59:59.898897Z","submitted_at":"2025-06-04T01:07:51Z","title":"Directional Non-Commutative Monoidal Embeddings for MNIST","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:07:46.791009Z"},"links":{"cited_paper":"/paper/2505.24533","citing_paper":"/paper/2506.03472"},"observation_digest":"sha256:f80e542e09230e4485c09c01d022f189e786c3bef3c156d137c77c7d5c7f5418","observation_id":"3625cada-ee27-4faf-a4d0-a59e5a8f189b","resolution":{"observed_at":"2026-08-07T11:07:47.362311Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:07:47.830040Z","title":"Oppenheim and Ronald W","venue":null,"work_id":"b6e72db2-63ac-4365-8974-575f82271bc1","year":1999},"citing_paper":{"arxiv_id":"2506.03472","last_updated":"2025-06-04T01:07:51Z","snapshot_observed_at":"2026-08-07T10:59:59.898897Z","submitted_at":"2025-06-04T01:07:51Z","title":"Directional Non-Commutative Monoidal Embeddings for MNIST","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:07:46.901874Z"},"links":{"citing_paper":"/paper/2506.03472"},"observation_digest":"sha256:c78ee6d93ea1a8dfb20ffa7d416c015d6879deaaa61ce6876a2033df19ae531a","observation_id":"a5afc135-d360-4c13-9264-92544edffbb8","resolution":{"observed_at":"2026-08-07T11:07:47.930824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:07:47.532160Z","title":"Gradient- based learning applied to document recognition","venue":null,"work_id":"7eb5ebf3-3e99-4d5d-9bb8-b59d1e6688c9","year":1998},"citing_paper":{"arxiv_id":"2506.03472","last_updated":"2025-06-04T01:07:51Z","snapshot_observed_at":"2026-08-07T10:59:59.898897Z","submitted_at":"2025-06-04T01:07:51Z","title":"Directional Non-Commutative Monoidal Embeddings for MNIST","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:07:47.046106Z"},"links":{"citing_paper":"/paper/2506.03472"},"observation_digest":"sha256:9546939f2db99fda35851bef0b64313035fa9000242f3f9957f3db73b8b000d6","observation_id":"319d846c-1b49-4002-b8ad-da9ca0771304","resolution":{"observed_at":"2026-08-07T11:07:47.659663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.03472","last_updated":"2025-06-04T01:07:51Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T10:59:59.898897Z","submitted_at":"2025-06-04T01:07:51Z","title":"Directional Non-Commutative Monoidal Embeddings for MNIST"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":2},"total_outbound_references":4},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2506.03472."}