{"as_of":"2026-08-10T20:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d3ffac5388eced1df6aae4894c48cc8c82957667f1919e5457dee841267e5499","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":"2026-08-10T06:31:04.303077+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":"2026-08-10T14:10:43.699151Z","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":"2026-05-11T14:16:30.469342Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.16381","last_updated":"2025-02-12T00:48:57Z","snapshot_observed_at":"2026-07-06T18:20:01.382394Z","submitted_at":"2024-05-25T23:53:07Z","title":"Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.16381","snapshot_observed_at":"2026-08-10T14:10:43.699151Z","title":"Triv- ialized momentum facilitates diffusion generative modeling on lie groups","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.15598","last_updated":"2025-01-26T16:52:27Z","snapshot_observed_at":"2026-08-10T14:05:55.915322Z","submitted_at":"2025-01-26T16:52:27Z","title":"Diffusion Generative Modeling for Spatially Resolved Gene Expression Inference from Histology Images","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T14:10:43.699151Z"},"links":{"cited_paper":"/paper/2405.16381","citing_paper":"/paper/2501.15598"},"observation_digest":"sha256:9b45ceb5a923d760285b83b53d7dc17aec2c8555a0b3871c6cb649348ffb6ad3","observation_id":"23103cd9-de47-4ed4-8ae4-d4fdf590446f","resolution":{"observed_at":"2026-08-10T14:10:43.699151Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.16381","last_updated":"2025-02-12T00:48:57Z","snapshot_observed_at":"2026-07-06T18:20:01.382394Z","submitted_at":"2024-05-25T23:53:07Z","title":"Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.16381","snapshot_observed_at":"2026-08-06T20:15:03.037092Z","title":"doi: 10.1038/s41586-025-08628-5","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.03602","last_updated":"2025-07-04T14:18:26Z","snapshot_observed_at":"2026-08-08T23:10:23.129592Z","submitted_at":"2025-07-04T14:18:26Z","title":"Kinetic Langevin Diffusion for Crystalline Materials Generation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:15:03.037092Z"},"links":{"cited_paper":"/paper/2405.16381","citing_paper":"/paper/2507.03602"},"observation_digest":"sha256:be0a189f833497068a21322ae56cfa08352cc9c87cd82dbfa9bae78e57a154b2","observation_id":"a55204bb-5e9c-4be4-b0f9-a3f94c38206e","resolution":{"observed_at":"2026-08-06T20:15:03.037092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.16381","last_updated":"2025-02-12T00:48:57Z","snapshot_observed_at":"2026-07-06T18:20:01.382394Z","submitted_at":"2024-05-25T23:53:07Z","title":"Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups","version":2},"cited_work":{"arxiv_id":"2405.16381","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.16381","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2405.16381 , year=","venue":null,"work_id":"a75ee53c-1c58-4850-816d-737a5bcda491","year":null},"citing_paper":{"arxiv_id":"2604.21809","last_updated":"2026-05-14T02:18:52Z","snapshot_observed_at":"2026-07-06T23:08:19.446684Z","submitted_at":"2026-04-23T16:04:40Z","title":"Quotient-Space Diffusion Models","version":1},"reference_index":143,"source":"arxiv_source","source_observed_at":"2026-05-09T22:05:39.486930Z"},"links":{"cited_paper":"/paper/2405.16381","citing_paper":"/paper/2604.21809"},"observation_digest":"sha256:a57e9f5ce2a5a985119720ac6004f17bed03971dfd678be0ce2431eeb8527fdd","observation_id":"28837bed-7602-4946-9e9d-3501a323a8a6","resolution":{"observed_at":"2026-05-11T14:16:30.481563Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.16381/citation-record","integrity":"/paper/2405.16381/integrity","json":"/paper/2405.16381/citation-record.json","paper":"/paper/2405.16381"},"outbound":[],"paper":{"arxiv_id":"2405.16381","last_updated":"2025-02-12T00:48:57Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T18:20:01.382394Z","submitted_at":"2024-05-25T23:53:07Z","title":"Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.16381."}