{"as_of":"2026-08-14T23:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a1b90656fa34f12a6e76bca91d3e57ecdb6c3649b3db12766ddcf09669efa2e4","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-21T02:53:29.870619Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T23:49:32.801116Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.21483","snapshot_observed_at":"2026-07-31T23:49:32.801116Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.23339","last_updated":"2026-07-25T19:35:29Z","snapshot_observed_at":"2026-08-12T17:34:48.210215Z","submitted_at":"2026-07-25T19:35:29Z","title":"Interpreting the stacked kinetic SZ effect I: velocity reconstruction and non-linear velocity effects","version":1},"reference_index":174,"source":"arxiv_source","source_observed_at":"2026-07-31T23:49:32.801116Z"},"links":{"cited_paper":"/paper/2605.21483","citing_paper":"/paper/2607.23339"},"observation_digest":"sha256:f7dc75d89b8ceb7de4b4acc6d14f5788762b406fc580b77116acfaa6cdc1561d","observation_id":"22522733-48b4-4f82-954b-53d546e2e863","resolution":{"observed_at":"2026-07-31T23:49:32.801116Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.21483/citation-record","integrity":"/paper/2605.21483/integrity","json":"/paper/2605.21483/citation-record.json","paper":"/paper/2605.21483"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.14738","last_updated":"2025-10-09T16:45:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-03-18T21:14:12Z","title":"DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints","version":3},"cited_work":{"arxiv_id":"2503.14738","doi":"10.1016/c2017-0-","metadata_source":"pith","pith_arxiv_id":"2503.14738","snapshot_observed_at":"2026-07-11T11:50:26.030339Z","title":"DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints","venue":"astro-ph.CO","work_id":"d54834f3-4944-4c0b-9fa4-3008a4c0122d","year":2025},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2503.14738","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:e18df19b84f6c3381463f5d1bce69b46f7729dbdd999fbbf2f10a09ec27f9f64","observation_id":"588ea458-7326-485b-8644-acc64bb9e7a4","resolution":{"observed_at":"2026-05-21T02:53:55.243649Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.12022","last_updated":"2024-11-21T16:47:10Z","snapshot_observed_at":"2026-07-06T19:52:15.853216Z","submitted_at":"2024-11-18T20:03:35Z","title":"DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements","version":2},"cited_work":{"arxiv_id":"2411.12022","doi":"10.48550/arxiv.2411.12022","metadata_source":"pith","pith_arxiv_id":"2411.12022","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements","venue":"astro-ph.CO","work_id":"ff3623b2-379a-4d24-80dd-3266aa77a5ff","year":2024},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2411.12022","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:08bb04f0f9cd7b44f2e947ae0eb708279a5375d6af9b81ee1e7eee207c378dd3","observation_id":"227b5d9f-e68b-4280-adaa-5093398ec4ca","resolution":{"observed_at":"2026-05-21T02:53:55.246145Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.18415","last_updated":"2023-11-20T08:31:51Z","snapshot_observed_at":"2026-08-13T11:30:44.238915Z","submitted_at":"2023-05-28T18:48:50Z","title":"Geometric Algebra Transformer","version":3},"cited_work":{"arxiv_id":"2305.18415","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.18415","snapshot_observed_at":"2026-07-04T06:49:37.431189Z","title":"Geometric algebra trans- former","venue":null,"work_id":"23403342-5ad9-491d-9b7b-e3518669e53c","year":2023},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2305.18415","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:397b85d4fbbcfe20871be73e1e638de535c3177f4b3cf6bd2b2b18b38aeba2fd","observation_id":"481e1258-d914-4ee7-bac0-fd44704e719c","resolution":{"observed_at":"2026-05-21T02:53:55.240559Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.06082","last_updated":"2019-06-25T11:10:58Z","snapshot_observed_at":"2026-08-14T16:31:57.983560Z","submitted_at":"2019-05-15T10:54:01Z","title":"Modelling baryonic feedback for survey cosmology","version":2},"cited_work":{"arxiv_id":"1905.06082","doi":"10.21105/astro.1905.06082","metadata_source":"pith","pith_arxiv_id":"1905.06082","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Modelling baryonic feedback for survey cosmology","venue":"astro-ph.CO","work_id":"944ba138-aa94-4532-9fea-9933e1acd8a5","year":2019},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1905.06082","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:20c7112109fbd3c41a8f5bb6877a247c1878b5aed51b912b48afba78da0cc485","observation_id":"690a5ceb-c950-4c6c-a074-dd5dc6654e36","resolution":{"observed_at":"2026-05-21T02:53:55.252187Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1602.07576","last_updated":"2016-06-03T10:54:16Z","snapshot_observed_at":"2026-08-14T22:08:58.526560Z","submitted_at":"2016-02-24T16:17:15Z","title":"Group Equivariant Convolutional Networks","version":3},"cited_work":{"arxiv_id":"1602.07576","doi":"10.48550/arxiv.1602.07576","metadata_source":"pith","pith_arxiv_id":"1602.07576","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Group Equivariant Convolutional Networks","venue":"cs.LG","work_id":"473fade8-b16b-45a0-b764-68a0f3957588","year":2016},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1602.07576","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:9c0e9ad1178dba017b92bba433cea8fe4c28dc0865fc1b0e93f41ad7d7467310","observation_id":"5989c097-989f-4923-85a9-08ef95a25b90","resolution":{"observed_at":"2026-05-21T02:53:55.236600Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1208.0022","last_updated":"2012-11-07T22:32:13Z","snapshot_observed_at":"2026-07-06T02:52:54.937210Z","submitted_at":"2012-07-31T20:05:09Z","title":"The Baryon Oscillation Spectroscopic Survey of SDSS-III","version":3},"cited_work":{"arxiv_id":"1208.0022","doi":"10.1088/0004-6256/145/1/10","metadata_source":"pith","pith_arxiv_id":"1208.0022","snapshot_observed_at":"2026-07-11T11:50:26.030339Z","title":"The Baryon Oscillation Spectroscopic Survey of SDSS-III","venue":"astro-ph.CO","work_id":"5fed661b-91ea-46d7-98d4-0fe720688da1","year":2012},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1208.0022","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:62e151e4ffd8c5533ffb0708db2bfa4f782d3af43039a1d0f28b386c893ef635","observation_id":"7acf667b-053e-42db-a2de-e039efe9cd49","resolution":{"observed_at":"2026-05-21T02:53:55.249513Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T00:08:15.254876+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-14T00:08:15.254876+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"The AEMULUS Project. I. Numerical Simulations for Precision Cosmol- ogy","venue":null,"work_id":"8df684cf-1aa1-40a6-b93d-a19af8615860","year":2019},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:8cdcd73f21435444405e7292f3aaa3ebbbba12e94c871b5d27571884fa085887","observation_id":"6e48ebd0-dd2d-4481-aafe-64c5fd02cdfa","resolution":{"observed_at":"2026-05-21T02:53:55.394247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.05865","last_updated":"2018-04-16T18:04:45Z","snapshot_observed_at":"2026-08-14T19:25:25.525715Z","submitted_at":"2018-04-16T18:04:45Z","title":"The Aemulus Project I: Numerical Simulations for Precision Cosmology","version":1},"cited_work":{"arxiv_id":"1804.05865","doi":null,"metadata_source":"pith","pith_arxiv_id":"1804.05865","snapshot_observed_at":"2026-07-02T05:16:39.093812Z","title":"The Aemulus Project I: Numerical Simulations for Precision Cosmology","venue":"astro-ph.CO","work_id":"6ce7d80f-adac-4a88-9c63-e321cf14ea7c","year":2018},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1804.05865","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:9dca97bf89f023a1f296dc9b77f1912620bdec6c32e289f623fd3ab6a289a43c","observation_id":"61d880b7-3710-4929-8531-e76008ed5f3e","resolution":{"observed_at":"2026-05-21T02:53:55.234033Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.14745","last_updated":"2026-03-04T20:06:20Z","snapshot_observed_at":"2026-08-13T07:50:08.990486Z","submitted_at":"2025-03-18T21:14:19Z","title":"Data Release 1 of the Dark Energy Spectroscopic Instrument","version":2},"cited_work":{"arxiv_id":"2503.14745","doi":"10.1051/0004-6361/201116491","metadata_source":"pith","pith_arxiv_id":"2503.14745","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Data Release 1 of the Dark Energy Spectroscopic Instrument","venue":"astro-ph.CO","work_id":"a536800a-8f7c-4eb1-b9ac-29718dc7c858","year":2025},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2503.14745","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:69a08e8a680f45af315ee565743b483a4b3d124fee12c4e23a4abdbdbcd0c4d9","observation_id":"89c555ca-2bd2-4760-b46d-1702d2d99d08","resolution":{"observed_at":"2026-05-21T02:53:55.231452Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10503","last_updated":"2020-11-24T19:03:03Z","snapshot_observed_at":"2026-08-09T05:40:35.546658Z","submitted_at":"2020-06-18T13:23:01Z","title":"SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networks","version":3},"cited_work":{"arxiv_id":"2006.10503","doi":"10.48550/arxiv.2006.10503","metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10503","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Large-scale density and velocity field reconstructions with neural networks","venue":"arXiv (Cornell University)","work_id":"ae8d1a17-2683-4806-85a1-f2aa17cdc441","year":2006},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2006.10503","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:c42164ff2c159ab5c20317ff0fe7f6d5ce7313abdb7d39f685f8217b26209ffc","observation_id":"9cbf5575-3d02-40a0-a76f-532aaa65c1c5","resolution":{"observed_at":"2026-05-21T02:53:55.228411Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.03690","last_updated":"2018-11-10T23:20:43Z","snapshot_observed_at":"2026-08-14T19:47:07.968648Z","submitted_at":"2018-02-11T04:32:33Z","title":"On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups","version":3},"cited_work":{"arxiv_id":"1802.03690","doi":null,"metadata_source":"pith","pith_arxiv_id":"1802.03690","snapshot_observed_at":"2026-06-30T10:04:36.079788Z","title":"On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups","venue":"stat.ML","work_id":"c739b1d3-1ea5-4c5b-aa20-7d2928abd3f3","year":2018},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1802.03690","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:1879d9f9a927c30efc4af2867c559218b5c5bf3292f0495e2ae7e8abc16c2e2a","observation_id":"daa843ce-b195-41d1-8087-d9894e7b0b1f","resolution":{"observed_at":"2026-05-21T02:53:55.261279Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9309009","last_updated":"1993-09-08T01:24:02Z","snapshot_observed_at":"2026-07-07T01:08:55.329615Z","submitted_at":"1993-09-08T01:24:02Z","title":"On the Prediction of Velocity Fields from Redshift Space Galaxy Samples","version":1},"cited_work":{"arxiv_id":"astro-ph/9309009","doi":null,"metadata_source":"pith","pith_arxiv_id":"astro-ph/9309009","snapshot_observed_at":"2026-06-29T05:43:08.469990Z","title":"On the Prediction of Velocity Fields from Redshift Space Galaxy Samples","venue":"astro-ph","work_id":"10731034-7cb3-48f1-95ed-2d9772a2cbe1","year":1993},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/astro-ph/9309009","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:7d9a7ae8bc115a4f59722d9c6e00ad3afe7bde595abe070e931efea435b6635a","observation_id":"d0b32e6a-191d-4161-8a63-9f1f480d4e6d","resolution":{"observed_at":"2026-05-21T02:53:55.225699Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.03655","last_updated":"2023-06-14T14:07:05Z","snapshot_observed_at":"2026-08-13T12:49:16.149183Z","submitted_at":"2023-02-07T18:16:13Z","title":"Reducing SO(3) Convolutions to SO(2) for Efficient Equivariant GNNs","version":2},"cited_work":{"arxiv_id":"2302.03655","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.03655","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Reducing SO(3) convolutions to SO(2) for efficient equivariant GNNs","venue":null,"work_id":"3e7d301b-6c47-4ed2-83ea-1f85b53db656","year":2023},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2302.03655","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:fda7dad72c0b6252751a212d97b84273bf772b96f5a48ac772172b8ccbe2865d","observation_id":"5264a6a0-d1d0-4cb7-8c84-0890005e5531","resolution":{"observed_at":"2026-05-21T02:53:55.255454Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.05273","last_updated":"2021-08-16T01:22:46Z","snapshot_observed_at":"2026-08-13T05:50:31.580181Z","submitted_at":"2019-09-11T18:01:04Z","title":"The Quijote simulations","version":2},"cited_work":{"arxiv_id":"1909.05273","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1909.05273","snapshot_observed_at":"2026-07-01T16:45:51.809642Z","title":"Villaescusa-Navarro, C","venue":null,"work_id":"9393c955-e582-4b6d-b15e-81b411d8831d","year":2020},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1909.05273","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:c9b736521e8929f90080ff14b60607173fac27e414bdb0641ed6705d17d67f80","observation_id":"afd1465c-f5ba-43cd-ae98-22307870aca3","resolution":{"observed_at":"2026-05-21T02:53:55.222774Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.14101","last_updated":"2024-06-20T08:34:37Z","snapshot_observed_at":"2026-08-14T18:05:58.334623Z","submitted_at":"2024-06-20T08:34:37Z","title":"Peculiar Velocity Reconstruction From Simulations and Observations Using Deep Learning Algorithms","version":1},"cited_work":{"arxiv_id":"2406.14101","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.14101","snapshot_observed_at":"2026-07-02T11:06:53.010219Z","title":"AI-assisted reconstruction of cosmic velocity field from redshift-space spatial distribution of haloes","venue":null,"work_id":"a9b6dc45-9c67-48b7-a44b-6385306f5be5","year":2024},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2406.14101","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:afcc5ecf54245d574e16b45d77d8e0259abf8a882f4604f6d3511edcb0fb5468","observation_id":"0bdb2756-f106-429f-bed8-3e5419627b4c","resolution":{"observed_at":"2026-05-21T02:53:55.258188Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.11280","last_updated":"2025-08-24T02:53:56Z","snapshot_observed_at":"2026-08-13T09:30:03.895326Z","submitted_at":"2024-11-18T04:44:37Z","title":"AI-Powered Reconstruction of Dark Matter Velocity Fields from Redshift-Space Halo Distribution","version":2},"cited_work":{"arxiv_id":"2411.11280","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.11280","snapshot_observed_at":"2026-07-02T11:06:53.112893Z","title":"A Redshift Survey of IRAS Galaxies. II. Methods for Determining Self-consistent Velocity and Density Fields","venue":null,"work_id":"1a5b20d9-1f19-4c98-9a98-94b847ce0091","year":2025},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/2411.11280","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:1366b446f0d5b45923898d08b3df4c90babaac000ff866d1421064e5b1582a62","observation_id":"8e2759c8-1ce3-4a7f-b167-c4f8f7571b91","resolution":{"observed_at":"2026-05-21T02:53:55.219901Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"Deep Sets","venue":null,"work_id":"438d751d-de4f-46a2-aa9a-08758f8bf0b2","year":2017},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:9891f08c2b85b42e325cfdc135daa79326212c7fecf47fb86f1f052d7b7813db","observation_id":"6e79124d-ddf5-491a-9116-877cf533d2cd","resolution":{"observed_at":"2026-05-21T02:53:55.392352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.06114","last_updated":"2018-04-14T18:54:19Z","snapshot_observed_at":"2026-08-14T21:12:24.518115Z","submitted_at":"2017-03-10T21:02:53Z","title":"Deep Sets","version":3},"cited_work":{"arxiv_id":"1703.06114","doi":"10.48550/arxiv.1703.06114","metadata_source":"pith","pith_arxiv_id":"1703.06114","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Deep Sets","venue":"cs.LG","work_id":"98fe9370-503b-494e-bcc9-b0775a5878e9","year":2017},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/1703.06114","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:ab61bbb97de3d115907e3317311325e6eeee6e37b9a6c52b325d4dbbe7ba0b3b","observation_id":"daf84271-7a55-4218-8503-ff4efb3e807a","resolution":{"observed_at":"2026-05-21T02:53:55.216874Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-03T16:38:09.646583+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-03T16:38:09.646583+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9410080","last_updated":"1994-10-25T07:44:02Z","snapshot_observed_at":"2026-07-07T01:10:17.952412Z","submitted_at":"1994-10-25T07:44:02Z","title":"Wiener Reconstruction of The Large Scale Structure","version":1},"cited_work":{"arxiv_id":"astro-ph/9410080","doi":null,"metadata_source":"pith","pith_arxiv_id":"astro-ph/9410080","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Wiener Reconstruction of The Large Scale Structure","venue":"astro-ph","work_id":"e6166c3c-e30a-4e2a-9fcb-8ccd302759ac","year":1994},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"cited_paper":"/paper/astro-ph/9410080","citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:b031f96d0f1310f69941e0d2d06167a29b9d0714a3892aed69da1e7bf6d7e138","observation_id":"a564798c-dc44-4f2b-8fe4-a81e9b456c41","resolution":{"observed_at":"2026-05-21T02:53:55.263551Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"eabcc461-028e-4343-8811-77ca74ab2778","year":1987},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:d7be5537a533da03478f97906ed3ccb6edba94f2182fbc12a708d427c8f92947","observation_id":"f9fc2116-a5fd-445b-9b00-dd94c411a91f","resolution":{"observed_at":"2026-05-21T02:53:55.390530Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"6390.73828","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f8f5ac7d-7204-4e66-be47-fac38398bca2","year":2012},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:47499d54bd003628a3e4ec2d382d658336a49921a815c54ac85c97b63d02bf94","observation_id":"b23c9e7c-d9ef-4428-858c-d84c5ba660ed","resolution":{"observed_at":"2026-05-21T02:53:55.214509Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"95e7bdef-8824-47ae-bb87-c558341db0e1","year":2000},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:ce2b3c4aadd2847c7a8ff4ecccd9202b219ce67fdaa3f96717697998b1b001ab","observation_id":"88b1e271-7ae1-45ea-aee8-2b22c8eb5b34","resolution":{"observed_at":"2026-05-21T02:53:55.388907Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"D.3 GNN baseline The GNN baseline uses the implementation from Huang et al","venue":null,"work_id":"b2113b81-acb7-41e9-9610-03ad851dd8a9","year":2025},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:5f17405f888c95bbc13c8fb701674d5e93d912c57a0ae813112fe9611777c9bf","observation_id":"d50f398e-f44b-42b9-83ee-140c25e4bf77","resolution":{"observed_at":"2026-05-21T02:53:55.387261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"eb96f39d-bf80-4bee-9ae7-4bfa9859db55","year":2048},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:91b589dbabe91cc715c417b28d7f154495696cc196505badd95f1aa626aef3a7","observation_id":"9825eb0d-1830-4b81-ade7-6c474e21dbbb","resolution":{"observed_at":"2026-05-21T02:53:55.385563Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"Results are reported in the main text; this appendix describes the implementation","venue":null,"work_id":"29ed940f-fffd-4509-97d0-7ff5168d998e","year":2048},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:2f6d37c7c2e1d7f34ed38d58389585bd438c419d4b319824fec699bf38b86bc6","observation_id":"fae6e158-67fd-457c-9ce3-08a6ed479e5e","resolution":{"observed_at":"2026-05-21T02:53:55.383801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"VELOCITYFORMERcan thus generalise across our uncertainty on the true cosmological parameters of the Universe","venue":null,"work_id":"d2ddd287-0de6-4e1e-8957-7b1295e319cc","year":2025},"citing_paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-21T02:53:29.870619Z"},"links":{"citing_paper":"/paper/2605.21483"},"observation_digest":"sha256:0d64dec8f67b65f7033c17fbb383833da6c19eea3f9861ae8006b8eb9aeff987","observation_id":"bc93d46d-e642-4756-9e78-ceb5d709750b","resolution":{"observed_at":"2026-05-21T02:53:55.381883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.21483","last_updated":"2026-05-20T17:59:05Z","latest_version":1,"primary_category":"astro-ph.CO","snapshot_observed_at":"2026-08-02T20:49:07.449881Z","submitted_at":"2026-05-20T17:59:05Z","title":"Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":10,"parse_uncertain":0,"unresolved":3,"verified_exact":8,"verified_fuzzy":5},"total_outbound_references":26},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2605.21483."}