{"as_of":"2026-08-08T16:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d42c7d30a8b257bc6ffdae6ba681902aaea49c545d9c6a1e496a2779d2e33f5d","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:52:38.600611Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2505.21123/citation-record","integrity":"/paper/2505.21123/integrity","json":"/paper/2505.21123/citation-record.json","paper":"/paper/2505.21123"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:52:41.537887Z","title":"Antezana, M.L","venue":null,"work_id":"8ba47da2-6ba6-4bd2-8dda-0f274299a7f1","year":2017},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:36.875298Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:b49c2516d3ce48537c98cfd5b7283b813d2acf4664c957a1fb8bafa890a7be97","observation_id":"d2e3ddf2-d003-4b8b-b9aa-c924f40de845","resolution":{"observed_at":"2026-08-07T13:52:41.636191Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:41.399005Z","title":"Arens,Operational calculus of linear relations, Pacific J","venue":null,"work_id":"3478eace-d00a-4452-9312-70af84fcd5ac","year":1961},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.011635Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:87e7bbfdb5e5f9b25068adc347d36f174e5e9b03a85b67d0a06fc16fa251c2ef","observation_id":"2287fb87-8f40-47fd-a0ee-80d300df82e8","resolution":{"observed_at":"2026-08-07T13:52:41.463268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:41.168057Z","title":"Arias, M","venue":null,"work_id":"e20586d7-a467-440a-9afc-87a55b94c58f","year":2024},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.168378Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:403f538c2d65adfa40d1c6e374302670bd99a0e04ea06d305ccb44adf6b2afd3","observation_id":"2f90f454-1405-486f-bb60-71f602883591","resolution":{"observed_at":"2026-08-07T13:52:41.299690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:40.994931Z","title":"Arias, M","venue":null,"work_id":"a695db96-3791-4cd4-a3ea-0ab7acdb2c99","year":2024},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.317813Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:94257bbb2129391ff55f860ed26628038e18361a07625f2d37eb5b43173e9a1e","observation_id":"6d320ad5-469e-478b-a328-9977db174d8c","resolution":{"observed_at":"2026-08-07T13:52:41.054891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:40.744410Z","title":"Arias, M","venue":null,"work_id":"8494d128-abca-458d-8ba7-efc7240592ed","year":2022},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.459982Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:af0aeda6f98aa85de25e79869f9716be4a069b43b31b9a537922048e4238f8aa","observation_id":"b983d86f-0c1c-461e-8a96-cf831e96220d","resolution":{"observed_at":"2026-08-07T13:52:40.863419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:40.494854Z","title":"Arias, G","venue":null,"work_id":"9913c3fd-b0c0-46db-93a4-561025714181","year":2011},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.616565Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:a41516a487167d1355a192f64f1589a39e25bc2835794e76e02e1080a8f252e1","observation_id":"d0da83e5-6989-4737-9a0c-92748faaabf9","resolution":{"observed_at":"2026-08-07T13:52:40.579856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:40.220978Z","title":null,"venue":null,"work_id":"2df7232f-ccdc-4801-8f2b-5449f9ccf9e1","year":1978},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.762559Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:59958a15ba6df249c0244cda9773ce48d7c0726d11510d8af2baca09a6fa2122","observation_id":"86824466-4563-460a-8124-9adf860f8ba5","resolution":{"observed_at":"2026-08-07T13:52:40.341895Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:40.038595Z","title":"Corach, A","venue":null,"work_id":"1eaabb3f-6821-4426-b1fc-d61bb3dbde09","year":2017},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:37.880460Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:4590370be86efc00c57a4f69b6714f0beace350f16069a76eaa124cefebdf0aa","observation_id":"597b82bf-4f2a-4826-9e69-6aed970999c5","resolution":{"observed_at":"2026-08-07T13:52:40.119794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:39.706306Z","title":"Cross, D","venue":null,"work_id":"9aeb61e6-30d3-45da-b881-5740a9b98604","year":2002},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.021721Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:60364147f43006a0934fc4594eef4902333a3bb5a1e1b130359303f82324444d","observation_id":"279d3715-e20d-4549-9571-0ccf0cb1bcb6","resolution":{"observed_at":"2026-08-07T13:52:39.863192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:39.544504Z","title":null,"venue":null,"work_id":"a959aecc-a837-459c-901d-86756adda04e","year":1966},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.158720Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:e2e2d564a37a2b42c04ee9fe5999bc545c3e0fb8fb29ab55ab6256c3aafde101","observation_id":"701a9e71-2d07-4411-b7e5-3f45f644dd06","resolution":{"observed_at":"2026-08-07T13:52:39.614766Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:39.342601Z","title":null,"venue":null,"work_id":"55544d3a-7310-4df7-b5de-4ad2f7952275","year":2021},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.294217Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:58a20031a4400f2f0d34ceb6d9ed81d745bb704f277b06043f419f96a9469ca0","observation_id":"b2952846-b374-4ace-9d5d-65d0032fce13","resolution":{"observed_at":"2026-08-07T13:52:39.440448Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:39.155241Z","title":null,"venue":null,"work_id":"838eb327-b01f-411e-9849-1b4c61628da4","year":1990},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.403646Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:eb330ae3a7cbd4002ec3dd273130a2e8a0463285157d27726ad514ddcbfc8012","observation_id":"2a44ea06-a5c6-43d7-90f7-61db1dc2c8c4","resolution":{"observed_at":"2026-08-07T13:52:39.222107Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:38.957287Z","title":"Popovici, Z","venue":null,"work_id":"1d6d9e20-a817-47f7-ad6f-847189d7963f","year":2013},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.467709Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:3cad7534b97736dd549427a5d1829e905d7378e774e8d95fc5bf79ccc1dc1fdd","observation_id":"cb64c6fb-4712-47c4-9dbc-0370c18d31ce","resolution":{"observed_at":"2026-08-07T13:52:39.055046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:38.848067Z","title":"Radjavi, J.P","venue":null,"work_id":"a9d1fd9a-eadc-4868-b56e-6b6e70f9eb69","year":1969},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.536142Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:46114e999d2b851bb82b95370b050a0e220afac97bae8efa1a6447d569f99910","observation_id":"ebabba2c-31a5-4ecb-b604-f94af6faf0ec","resolution":{"observed_at":"2026-08-07T13:52:38.896801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T13:52:38.737351Z","title":"Alberto P. Calder´on","venue":null,"work_id":"92506c57-5ca9-4c5c-b156-6dd3d08ef802","year":2013},"citing_paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:52:38.600611Z"},"links":{"citing_paper":"/paper/2505.21123"},"observation_digest":"sha256:a3c93227272184ad51397417285163d0f3779ea10577850b3655658cd8e66d52","observation_id":"29519b73-16ba-46b3-b2eb-2893fbe9db02","resolution":{"observed_at":"2026-08-07T13:52:38.781437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.21123","last_updated":"2025-06-12T12:34:50Z","latest_version":2,"primary_category":"math.FA","snapshot_observed_at":"2026-08-07T13:32:48.216115Z","submitted_at":"2025-05-27T12:42:11Z","title":"Factorizations of linear relations by idempotents"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":15},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2505.21123."}