{"as_of":"2026-08-15T17:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dfeb9fd12c1bd1a552f89cbd683c11d2e5653dce3bf3c5d25a54f163cef9cdd6","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T00:55:26.676876Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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":"2026-08-05T18:51:28.801335Z","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":"2026-06-28T20:12:37.649719Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.04168","snapshot_observed_at":"2026-08-05T18:51:28.801335Z","title":"Keshari, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.14505","last_updated":"2025-08-20T07:53:59Z","snapshot_observed_at":"2026-08-07T06:00:41.646331Z","submitted_at":"2025-08-20T07:53:59Z","title":"On the classification and irreducibility of $2$-local representations of the twin group $T_n$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T18:51:28.801335Z"},"links":{"cited_paper":"/paper/2508.04168","citing_paper":"/paper/2508.14505"},"observation_digest":"sha256:fc62394f6c9d4a2ca10f097eb971f94c030d6a41d0ebf9c341240dd85ddcf92d","observation_id":"a3999ec2-a041-47ec-a188-1305ffce1cf9","resolution":{"observed_at":"2026-08-05T18:51:28.801335Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"cited_work":{"arxiv_id":"2508.04168","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.04168","snapshot_observed_at":"2026-06-28T20:12:37.649719Z","title":"Keshari, M","venue":null,"work_id":"8ce6b241-5189-44d0-a361-50984866b225","year":2025},"citing_paper":{"arxiv_id":"2604.19307","last_updated":"2026-04-21T10:13:44Z","snapshot_observed_at":"2026-08-14T22:35:45.641156Z","submitted_at":"2026-04-21T10:13:44Z","title":"On Universal Virtual and Welded Braid Groups and Their Linear Representations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T01:43:41.931372Z"},"links":{"cited_paper":"/paper/2508.04168","citing_paper":"/paper/2604.19307"},"observation_digest":"sha256:fbc181cd1bbc9ed0b104a7c7cd3b397ae12e551079e180bd75de2f7e9162e5ba","observation_id":"ae0dff1e-69a6-4934-96e0-a1107e8c1ebd","resolution":{"observed_at":"2026-05-11T13:26:05.378898Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"cited_work":{"arxiv_id":"2508.04168","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.04168","snapshot_observed_at":"2026-06-28T20:12:37.649719Z","title":"Keshari, M","venue":null,"work_id":"8ce6b241-5189-44d0-a361-50984866b225","year":2025},"citing_paper":{"arxiv_id":"2605.13090","last_updated":"2026-05-13T07:01:00Z","snapshot_observed_at":"2026-08-02T19:53:19.543569Z","submitted_at":"2026-05-13T07:01:00Z","title":"Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-14T01:48:26.441136Z"},"links":{"cited_paper":"/paper/2508.04168","citing_paper":"/paper/2605.13090"},"observation_digest":"sha256:4f0b9323e7b606734ef68826c60b71e77d91413e7c8254bf7cf448f963192950","observation_id":"4e040c54-468e-4793-bdf9-8985c4a02dcb","resolution":{"observed_at":"2026-05-14T01:48:35.993112Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"cited_work":{"arxiv_id":"2508.04168","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.04168","snapshot_observed_at":"2026-06-28T20:12:37.649719Z","title":"Keshari, M","venue":null,"work_id":"8ce6b241-5189-44d0-a361-50984866b225","year":2025},"citing_paper":{"arxiv_id":"2605.31298","last_updated":"2026-05-29T13:33:56Z","snapshot_observed_at":"2026-08-15T15:08:02.533184Z","submitted_at":"2026-05-29T13:33:56Z","title":"Multi-welded twin groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T20:11:15.453728Z"},"links":{"cited_paper":"/paper/2508.04168","citing_paper":"/paper/2605.31298"},"observation_digest":"sha256:0961beeca5ef6cf02854e6b47858e20d1e104ca4400c8827ba3ba9ac31d287e8","observation_id":"c36f32e2-19db-4c30-9218-3120ba8555e1","resolution":{"observed_at":"2026-06-28T20:12:37.650858Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.04168/citation-record","integrity":"/paper/2508.04168/integrity","json":"/paper/2508.04168/citation-record.json","paper":"/paper/2508.04168"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:55:28.318078Z","title":"Twenty-five years of signal processing advances for multiantenna communications: From theory to mainstream technology,","venue":null,"work_id":"7f05dd6d-149e-4afe-ae1d-f091e753e748","year":2023},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:25.703766Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:3285c8886c5b018718e09cb3ca9f9de2916876da441bf8731fe3171bdbf3456b","observation_id":"254e7718-8b7d-417d-baaa-35366dc5e209","resolution":{"observed_at":"2026-08-06T00:55:28.409244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:55:25.778200Z","title":"Integrated sensing and communications: Toward dual-functional wire- less networks for 6G and beyond,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:25.778200Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:6cdaa4ae4d2ec90767d400b90c9f6841091925058f0e6f256ed164fa051121e5","observation_id":"d0326166-b1d0-4195-ab0e-569446012321","resolution":{"observed_at":"2026-08-06T00:55:25.778200Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:55:28.096866Z","title":"A tutorial on extremely large-scale MIMO for 6G: Fundamentals, signal processing, and applications,","venue":null,"work_id":"7146f6ff-b19d-4c6f-a1cf-c7f2d54681f2","year":2024},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:25.880185Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:37eda722c045dd035d7d63a9efd76af211c3c3f67da991d7c90365b9d341b422","observation_id":"2cb59656-58ed-46df-ba01-c6f0e778a7ed","resolution":{"observed_at":"2026-08-06T00:55:28.199239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.05076","last_updated":"2025-02-18T14:30:49Z","snapshot_observed_at":"2026-08-15T09:00:52.753811Z","submitted_at":"2024-04-07T21:22:42Z","title":"Performance Analysis of Near-Field Sensing in Wideband MIMO Systems","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.05076","snapshot_observed_at":"2026-08-06T00:55:25.953380Z","title":"Performance analysis of near-field sensing in wideband MIMO systems,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:25.953380Z"},"links":{"cited_paper":"/paper/2404.05076","citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:e7718056f644d6334852e95f21c03c12319150bad2c03528bfda69eb454ef483","observation_id":"72d9b6fd-8dee-40ed-bc76-8d9eff623eb0","resolution":{"observed_at":"2026-08-06T00:55:25.953380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:55:27.898429Z","title":"Unified near-field and far-field localization for AOA and hybrid AOA-TDOA positionings,","venue":null,"work_id":"e6be75fe-a74a-40ff-9359-3a85c954172e","year":2017},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.026381Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:696bdca5b9b3f40a5ff24f07a3bf7e84ea0b4a9f18e73a2e8b5cdeed30bc6602","observation_id":"f4130d28-7b49-4fd5-a977-c581b4b8283b","resolution":{"observed_at":"2026-08-06T00:55:27.983292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T00:55:27.693284Z","title":"Multiple signal classification based joint communication and sensing system,","venue":null,"work_id":"7f9315df-58cd-44cf-8bc7-dcc7d143324e","year":2023},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.134239Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:6ab2c80436f7c84507da5b62ae26e9c1d5036e503d6fa1a8c42d765b67ae0280","observation_id":"e1ef30d4-4a67-46f3-ae31-c1aeb1247760","resolution":{"observed_at":"2026-08-06T00:55:27.780898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:55:26.236147Z","title":"Channel estimation for extremely large-scale MIMO: Far-field or near-field?","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.236147Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:f091f2af8427dd4240e878b9fa7541020ea158f493ee37b46aa83b409ac67ffb","observation_id":"fc67ac37-fc59-49ee-ac84-e9e56361acd4","resolution":{"observed_at":"2026-08-06T00:55:26.236147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T00:55:27.451306Z","title":"Rethinking integrated sensing and com- munication: When near field meets wideband,","venue":null,"work_id":"2775cad9-b9c4-4812-ad54-4885a727b671","year":2024},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.368854Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:d3692bdbc3a16f2320bcd85bcee1e7b01830d419c22a5079cbb97cf790a65081","observation_id":"94f5bc76-deef-4942-a9d1-70da8f608499","resolution":{"observed_at":"2026-08-06T00:55:27.550210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T00:55:27.254041Z","title":"Beam squint assisted user localization in near-field integrated sensing and communications systems,","venue":null,"work_id":"36da615f-f5da-4a80-9b9a-8d76be485638","year":2024},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.455818Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:daa1f90f397bee2ed38b8e2091a454e13d05024c9bd7ffc4d8f8fb041b3da9e1","observation_id":"7147300a-4b45-416a-9a23-ed3da1acc207","resolution":{"observed_at":"2026-08-06T00:55:27.318234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T00:55:27.069726Z","title":"Near-field localization and sensing with large-aperture arrays: From signal modeling to pro- cessing,","venue":null,"work_id":"134d401c-de9b-4361-9e3c-c3de53365451","year":2025},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.519782Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:e5fce8d69567be7424f448e8c5d48c70d472cc44aac18fcaa95d9483376e2801","observation_id":"1124e34d-5629-4943-8137-3b390c18ba7f","resolution":{"observed_at":"2026-08-06T00:55:27.167581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T00:55:26.975165Z","title":"Estimation of source parameters by maximum likelihood and nonlinear regression,","venue":null,"work_id":"1b9d77e5-7375-4950-91df-b2b6ff4785a2","year":1984},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.584695Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:a524c719f398b3776d6f96f743355bed98d3558ae326be045db982e931e4ce1e","observation_id":"dde756cf-6ca3-4ac0-8a9a-87b108834749","resolution":{"observed_at":"2026-08-06T00:55:27.007373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T00:55:26.808306Z","title":"Three more decades in array signal processing research: An optimization and structure exploitation perspective,","venue":null,"work_id":"3a20d071-6e11-450a-aa17-b7b97fd7c7bf","year":2023},"citing_paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T00:55:26.676876Z"},"links":{"citing_paper":"/paper/2508.04168"},"observation_digest":"sha256:d73222fca0c207eb23556881f165b238f8b61c6e79d52934f70a79f4f5f8726d","observation_id":"92f9c00c-db65-4ae6-ab66-bac6e652c716","resolution":{"observed_at":"2026-08-06T00:55:26.901387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.04168","last_updated":"2025-08-06T07:48:29Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-06T00:55:25.163389Z","submitted_at":"2025-08-06T07:48:29Z","title":"On representations of the multi-virtual braid group $M_kVB_n$ and the multi-welded braid group $M_kWB_n$"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":12},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 4 inbound Pith citation observations for arXiv:2508.04168."}