{"as_of":"2026-08-10T05:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bd619190adab0142163d55aa22998b4422f3fdb8617bc18fdd971cb2efa2f7b4","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":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":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:54:56.087189Z","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":"2026-05-20T23:53:51.850345Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2106.03812","last_updated":"2022-11-19T05:07:39Z","snapshot_observed_at":"2026-07-06T11:16:49.764856Z","submitted_at":"2021-06-07T17:23:24Z","title":"Neural Monge Map estimation and its applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.03812","snapshot_observed_at":"2026-08-06T21:54:56.087189Z","title":"arXiv preprint arXiv:2106.03812 (2021)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.23429","last_updated":"2025-06-29T23:32:39Z","snapshot_observed_at":"2026-08-09T11:14:19.447879Z","submitted_at":"2025-06-29T23:32:39Z","title":"DPOT: A DeepParticle method for Computation of Optimal Transport with convergence guarantee","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T21:54:56.087189Z"},"links":{"cited_paper":"/paper/2106.03812","citing_paper":"/paper/2506.23429"},"observation_digest":"sha256:04b9368edee7b47c162716e57f65f589449d6a9b0295aacefd2af949d7b7e461","observation_id":"cf0839c9-1416-47bf-8b6c-820320db9b8a","resolution":{"observed_at":"2026-08-06T21:54:56.087189Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.03812","last_updated":"2022-11-19T05:07:39Z","snapshot_observed_at":"2026-07-06T11:16:49.764856Z","submitted_at":"2021-06-07T17:23:24Z","title":"Neural Monge Map estimation and its applications","version":3},"cited_work":{"arxiv_id":"2106.03812","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.03812","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2106.03812 , year =","venue":null,"work_id":"f3c8baa8-2ee1-4078-847f-9bed38fac549","year":null},"citing_paper":{"arxiv_id":"2605.05569","last_updated":"2026-05-19T05:50:04Z","snapshot_observed_at":"2026-08-03T14:15:32.363420Z","submitted_at":"2026-05-07T01:22:20Z","title":"Stability of the Monge Map in Semi-Dual Optimal Transport","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-05-08T08:33:55.151866Z"},"links":{"cited_paper":"/paper/2106.03812","citing_paper":"/paper/2605.05569"},"observation_digest":"sha256:4f3961cbc5c6df119db5ff07ce64adb41d029b5d69b97a04c663045873d59dd8","observation_id":"d4fcb2ef-8a3b-4096-ab7a-3e31bf994b76","resolution":{"observed_at":"2026-05-11T20:36:08.231390Z","resolver_source":"arxiv_id","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":{"arxiv_id":"2106.03812","last_updated":"2022-11-19T05:07:39Z","snapshot_observed_at":"2026-07-06T11:16:49.764856Z","submitted_at":"2021-06-07T17:23:24Z","title":"Neural Monge Map estimation and its applications","version":3},"cited_work":{"arxiv_id":"2106.03812","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.03812","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2106.03812 , year =","venue":null,"work_id":"f3c8baa8-2ee1-4078-847f-9bed38fac549","year":null},"citing_paper":{"arxiv_id":"2605.05569","last_updated":"2026-05-19T05:50:04Z","snapshot_observed_at":"2026-08-03T14:15:32.363420Z","submitted_at":"2026-05-07T01:22:20Z","title":"Stability of the Monge Map in Semi-Dual Optimal Transport","version":2},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-05-12T01:52:41.060819Z"},"links":{"cited_paper":"/paper/2106.03812","citing_paper":"/paper/2605.05569"},"observation_digest":"sha256:dd272f43c662e0ec1ac83b41c14963fa96226c80db8d8003ebfee52abd6632a7","observation_id":"b22c53fb-c204-4120-be19-b8ba6d219258","resolution":{"observed_at":"2026-05-12T07:46:47.328574Z","resolver_source":"arxiv_id","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":{"arxiv_id":"2106.03812","last_updated":"2022-11-19T05:07:39Z","snapshot_observed_at":"2026-07-06T11:16:49.764856Z","submitted_at":"2021-06-07T17:23:24Z","title":"Neural Monge Map estimation and its applications","version":3},"cited_work":{"arxiv_id":"2106.03812","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2106.03812","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2106.03812 , year =","venue":null,"work_id":"f3c8baa8-2ee1-4078-847f-9bed38fac549","year":null},"citing_paper":{"arxiv_id":"2605.05569","last_updated":"2026-05-19T05:50:04Z","snapshot_observed_at":"2026-08-03T14:15:32.363420Z","submitted_at":"2026-05-07T01:22:20Z","title":"Stability of the Monge Map in Semi-Dual Optimal Transport","version":3},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-05-20T23:50:45.176785Z"},"links":{"cited_paper":"/paper/2106.03812","citing_paper":"/paper/2605.05569"},"observation_digest":"sha256:29368b04c394e6418ccd2c696037bf39f17f82f40cd2ed5d295eb9efab0b2908","observation_id":"e37bb0bf-16a5-46b4-97e3-dbddbae55677","resolution":{"observed_at":"2026-05-20T23:53:51.852596Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2106.03812/citation-record","integrity":"/paper/2106.03812/integrity","json":"/paper/2106.03812/citation-record.json","paper":"/paper/2106.03812"},"outbound":[],"paper":{"arxiv_id":"2106.03812","last_updated":"2022-11-19T05:07:39Z","latest_version":3,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T11:16:49.764856Z","submitted_at":"2021-06-07T17:23:24Z","title":"Neural Monge Map estimation and its applications"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2106.03812."}