{"as_of":"2026-08-24T03:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:afe8cbf479c564179b2fcfde1460048b1790566ef0dfaceadb2d61d8229b668f","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T05:40:47.081991Z","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":"2026-06-29T09:03:16.253030Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.11965","snapshot_observed_at":"2026-08-12T05:40:47.081991Z","title":"Tomiya and Y","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.00200","last_updated":"2025-05-05T08:01:32Z","snapshot_observed_at":"2026-08-15T22:16:26.402384Z","submitted_at":"2024-11-29T19:01:05Z","title":"Scaling of Stochastic Normalizing Flows in $\\mathrm{SU}(3)$ lattice gauge theory","version":3},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-12T05:40:47.081991Z"},"links":{"cited_paper":"/paper/2103.11965","citing_paper":"/paper/2412.00200"},"observation_digest":"sha256:a012b7a9926516b379d09fdc3eced461d5607c03675ccae681813d3721ef70c2","observation_id":"1181eaab-4114-46b9-a3bb-acc1a4ccac34","resolution":{"observed_at":"2026-08-12T05:40:47.081991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.11965","snapshot_observed_at":"2026-08-07T00:58:38.742479Z","title":"Nagai and A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.12493","last_updated":"2025-06-14T13:12:25Z","snapshot_observed_at":"2026-08-07T17:48:45.226951Z","submitted_at":"2025-06-14T13:12:25Z","title":"Symmetry-preserving neural networks in lattice field theories","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T00:58:38.742479Z"},"links":{"cited_paper":"/paper/2103.11965","citing_paper":"/paper/2506.12493"},"observation_digest":"sha256:e2374d3d820665311d88c1d65ec20e1a9605bf9f5f63964414d4932edd4d37e6","observation_id":"54b21998-f4ee-46f9-a468-272ce22d9648","resolution":{"observed_at":"2026-08-07T00:58:38.742479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons","version":3},"cited_work":{"arxiv_id":"2103.11965","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2103.11965","snapshot_observed_at":"2026-06-29T09:03:16.253030Z","title":"Nagai and A","venue":null,"work_id":"e24422e5-84a8-443b-80a9-199a1d0d7d52","year":2025},"citing_paper":{"arxiv_id":"2510.25704","last_updated":"2026-04-10T12:30:09Z","snapshot_observed_at":"2026-07-06T22:34:23.736456Z","submitted_at":"2025-10-29T17:12:21Z","title":"Scaling flow-based approaches for topology sampling in $\\mathrm{SU}(3)$ gauge theory","version":2},"reference_index":158,"source":"pdf_text","source_observed_at":"2026-05-18T03:21:13.881357Z"},"links":{"cited_paper":"/paper/2103.11965","citing_paper":"/paper/2510.25704"},"observation_digest":"sha256:e69efb4662a62261a949a4b0a4ca893e53c789f07f25834e5ac3b03901545280","observation_id":"de84da31-4a08-4f14-a361-c519a72f7245","resolution":{"observed_at":"2026-05-18T03:22:20.908531Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.11965","snapshot_observed_at":"2026-08-02T20:14:46.428265Z","title":"Nagai and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.23731","last_updated":"2026-03-04T08:01:36Z","snapshot_observed_at":"2026-08-07T06:25:37.780717Z","submitted_at":"2026-02-27T06:57:20Z","title":"A Machine Learning Approach for Lattice Gauge Fixing","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T20:14:46.428265Z"},"links":{"cited_paper":"/paper/2103.11965","citing_paper":"/paper/2602.23731"},"observation_digest":"sha256:dd0fdcd964123c3760dd8be390e13e0faa72724179486bb1e58f9db46f1d448e","observation_id":"0edc63df-b798-44f8-9b49-8749293c61a4","resolution":{"observed_at":"2026-08-02T20:14:46.428265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons","version":3},"cited_work":{"arxiv_id":"2103.11965","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2103.11965","snapshot_observed_at":"2026-06-29T09:03:16.253030Z","title":"Nagai and A","venue":null,"work_id":"e24422e5-84a8-443b-80a9-199a1d0d7d52","year":2025},"citing_paper":{"arxiv_id":"2604.07226","last_updated":"2026-04-08T15:49:10Z","snapshot_observed_at":"2026-08-13T00:03:14.170431Z","submitted_at":"2026-04-08T15:49:10Z","title":"Neural network interpolators for Wilson loops","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T17:36:44.901648Z"},"links":{"cited_paper":"/paper/2103.11965","citing_paper":"/paper/2604.07226"},"observation_digest":"sha256:789720c19e23dbbf2fd7014b1c9e3652b5c419959ce5d8968820f31799630389","observation_id":"c308704a-9f89-49e4-84fe-abb903570522","resolution":{"observed_at":"2026-05-11T06:31:01.029695Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons","version":3},"cited_work":{"arxiv_id":"2103.11965","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2103.11965","snapshot_observed_at":"2026-06-29T09:03:16.253030Z","title":"Nagai and A","venue":null,"work_id":"e24422e5-84a8-443b-80a9-199a1d0d7d52","year":2025},"citing_paper":{"arxiv_id":"2605.29109","last_updated":"2026-06-02T19:48:20Z","snapshot_observed_at":"2026-08-20T22:11:16.691764Z","submitted_at":"2026-05-27T21:17:35Z","title":"First steps towards gauge-independent vortex identification through machine learning","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T08:53:34.578620Z"},"links":{"cited_paper":"/paper/2103.11965","citing_paper":"/paper/2605.29109"},"observation_digest":"sha256:ea5c06c4dac38c0c236220606f6e44eb08bc1f3c5c2c9cc98f49e35ca8947c50","observation_id":"43fb74e3-5c45-4994-88fe-809675d843b0","resolution":{"observed_at":"2026-06-29T09:03:16.254382Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2103.11965/citation-record","integrity":"/paper/2103.11965/integrity","json":"/paper/2103.11965/citation-record.json","paper":"/paper/2103.11965"},"outbound":[],"paper":{"arxiv_id":"2103.11965","last_updated":"2024-10-29T13:03:56Z","latest_version":3,"primary_category":"hep-lat","snapshot_observed_at":"2026-08-16T18:37:14.318682Z","submitted_at":"2021-03-22T16:14:09Z","title":"Gauge covariant neural network for quarks and gluons"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 24 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2103.11965."}