{"as_of":"2026-08-08T02:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:edd39295efae766d819de1c7d1c14359ae2be16eefb69b72377305b0c616a52b","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:47:41.590003Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2505.23552/citation-record","integrity":"/paper/2505.23552/integrity","json":"/paper/2505.23552/citation-record.json","paper":"/paper/2505.23552"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:47:45.074064Z","title":null,"venue":null,"work_id":"cb126c94-ffc6-4779-ba8e-205d4c065b7e","year":1972},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.113034Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:708ab0e84419ed3074587efeb134b23fe07d37ae735fb0f74e91f65654c3c695","observation_id":"fcacb0f1-3ff6-461c-bf99-8c792a414cd9","resolution":{"observed_at":"2026-08-07T12:47:45.131197Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:44.965719Z","title":null,"venue":null,"work_id":"8e242304-9179-4e1d-9630-795c6c640931","year":2003},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.209617Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:7f49fbaf0959cd5962e5982dcbc11f9b4228094119d128e2334d596f3cd9929c","observation_id":"43713c78-1f3d-4b0b-a203-7f0e256ea41d","resolution":{"observed_at":"2026-08-07T12:47:45.012971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:39.285023Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.285023Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:da148c5d2d7431c5df99abed2c951ed72a502614ae984a1c14d8528f746959d1","observation_id":"0c53f05b-7a0e-4656-bb52-e982bce4f124","resolution":{"observed_at":"2026-08-07T12:47:39.285023Z","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":"2026-08-07T12:47:44.784492Z","title":null,"venue":null,"work_id":"629adffc-e48e-403c-8d96-3f0b430c415f","year":2010},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.421594Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:9be936f74a9207dafca2e3e7b154128af96ea3e7bc523d773aff7157913d1bf2","observation_id":"127861e7-fb6e-433b-a845-26ab98814ec8","resolution":{"observed_at":"2026-08-07T12:47:44.861852Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:44.614381Z","title":null,"venue":null,"work_id":"cc407399-1c50-4a21-a07b-2c5308ffb0a1","year":2004},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.556031Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:0074585217896f7a6fca414b324b389d16a401bc47bf7a5f14a0fff92ae25084","observation_id":"2e685044-751d-4a7c-a259-1f557c598121","resolution":{"observed_at":"2026-08-07T12:47:44.692409Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:44.429864Z","title":null,"venue":null,"work_id":"110171af-7505-4662-9f7d-65c4117f8be6","year":null},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.638863Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:932f6297e8d6ada82a1819c70337a329b61fd7119103f6c3a8277dc7a122d883","observation_id":"c96417e9-dac2-43c3-8130-3043359d44f4","resolution":{"observed_at":"2026-08-07T12:47:44.522055Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:44.245136Z","title":null,"venue":null,"work_id":"22712394-2f95-4c64-bc55-7df338b8bfa5","year":2004},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.766037Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:73bb1728205157f279a16af44f141aa1c04f0cdc21398ed76c4cdde8adc603a9","observation_id":"8a8af53b-a9ab-4a27-ace4-ad36002f991a","resolution":{"observed_at":"2026-08-07T12:47:44.341644Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:44.101645Z","title":null,"venue":null,"work_id":"f21dfc62-11cd-46af-8fd2-3b72f2d23845","year":2016},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.874723Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:12f1bcac11f0afa544147a6c5b66ab42a9e6055f9fa7b2083daef2cafca65d07","observation_id":"af94d648-9b97-427f-b0c8-ab713fc1a1f8","resolution":{"observed_at":"2026-08-07T12:47:44.176911Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:43.937492Z","title":"H., & Van Loan, C","venue":null,"work_id":"184cf7e8-6fb6-4b7b-ac0d-111e60b88897","year":2013},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:39.986484Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:5fdd00e077890a38362c3ea18032aedcfddc3ea32fa7c54521686f41c6ba7ff6","observation_id":"274cc3c7-33ef-4b22-9007-f87e3c6b72fd","resolution":{"observed_at":"2026-08-07T12:47:43.996448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:43.777046Z","title":null,"venue":null,"work_id":"cfb0103e-fd47-4247-972a-f522dea85ce5","year":1996},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.086032Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:ac313c07a3a1a5b3a41c38766a2ba4afedf795a2d7859db2cfc33d9352735528","observation_id":"9c17ae3e-86a2-4d20-9d50-54339b10448f","resolution":{"observed_at":"2026-08-07T12:47:43.844169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:43.562246Z","title":null,"venue":null,"work_id":"b7ee8549-c5fc-4de8-8867-26600d8e334f","year":2009},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.195725Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:435ac7c6efbd57fef1c745d97278f3c8a7488dedd54c2a21135c4b526d5412f5","observation_id":"488a7dce-703b-4ee3-bc95-2fbc15b22888","resolution":{"observed_at":"2026-08-07T12:47:43.648358Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:43.367897Z","title":"E., & Kennard, R","venue":null,"work_id":"cabafe7d-8b62-43b3-a1b0-4b9ceb5e5e9b","year":1970},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.278227Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:45ef5a1d42a3a982a741cf527eeb41bff5a558b1923682d03c8b602b8cb42221","observation_id":"1c6d87dc-7398-4833-963e-1a06f4af65d8","resolution":{"observed_at":"2026-08-07T12:47:43.459668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-07T12:47:40.405752Z","title":"P., & Ba, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.405752Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:085602d7b36789d34335a143a343b40b0aed2182986d6189d86a6c675e3c278f","observation_id":"cc567737-1834-42d5-b709-4c2d2bac88e2","resolution":{"observed_at":"2026-08-07T12:47:40.405752Z","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":"2026-08-07T12:47:43.153785Z","title":null,"venue":null,"work_id":"d8fc9b5f-6514-4eb3-a155-5fd2f7c75e11","year":2011},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.518804Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:46178438b3470636bd3a852860f462476dea4ed505b4c0bc9f6ecd2d645c2082","observation_id":"eb09f5a3-adce-4912-a653-0b7d1d84a053","resolution":{"observed_at":"2026-08-07T12:47:43.254746Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:43.014660Z","title":"C., Peck, E","venue":null,"work_id":"02eb0e2b-3848-47f9-9f6d-796f60cf3325","year":2021},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.626779Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:cc1ada2e4bab7722a1c27ff80d0229f420712a4c34624c50f4f8706dfe6f15a0","observation_id":"cfce9cc8-0c5f-43d0-bbcb-5f99c04cce3c","resolution":{"observed_at":"2026-08-07T12:47:43.100828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:42.835919Z","title":null,"venue":null,"work_id":"626c787f-22a0-432d-90e8-e9c65963452a","year":2006},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.725224Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:b21c73324fdf41edbb85c36b77fbc61c49b43114666e958aa727379093e60ac0","observation_id":"cfd1e329-a166-4617-81e7-d89eaa93f445","resolution":{"observed_at":"2026-08-07T12:47:42.929584Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:42.707906Z","title":"K., & Barry, R","venue":null,"work_id":"ed7f1384-7593-4468-ad4f-a5ce865d7ffb","year":1997},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.848321Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:a3c588c7d13787d841a7fed7f08fe9e0a93bfc3f949f509975abe9287f6f0050","observation_id":"6b4e9ede-8013-4d0b-bb31-0a9cd72f0ada","resolution":{"observed_at":"2026-08-07T12:47:42.777258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:42.531726Z","title":null,"venue":null,"work_id":"72a28345-82ba-4d14-a14b-5091f0e8855d","year":1955},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:40.934103Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:57cd745a1fd3ad97351c254b88455eb476a5af262a908703a31b35cf0828723f","observation_id":"3138cc4b-04da-4cc5-8490-11c32ad10cd0","resolution":{"observed_at":"2026-08-07T12:47:42.606090Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1609.04747","last_updated":"2017-06-15T13:21:04Z","snapshot_observed_at":"2026-08-04T02:05:40.539691Z","submitted_at":"2016-09-15T17:32:34Z","title":"An overview of gradient descent optimization algorithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.04747","snapshot_observed_at":"2026-08-07T12:47:41.013913Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:41.013913Z"},"links":{"cited_paper":"/paper/1609.04747","citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:946129b8b99538136345dc405e80e7f11554afc4ea24f6eb6d7718af8c767d5b","observation_id":"36e83cae-4445-4442-a429-22047dd69a7c","resolution":{"observed_at":"2026-08-07T12:47:41.013913Z","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":"2026-08-07T12:47:42.355240Z","title":null,"venue":null,"work_id":"d1d1ef3c-fe66-4cc9-bfc6-48861333eb9b","year":2003},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:41.124225Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:9dfac9f20279fa2eb72426e07671f254e54c84d4eda4165b0724abdcc3d6f15d","observation_id":"eae7dab7-a08d-4a43-a0bd-6cd9c39631b9","resolution":{"observed_at":"2026-08-07T12:47:42.430533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:42.193386Z","title":null,"venue":null,"work_id":"98f5a136-150e-45dd-9fb2-a955dab420d0","year":2003},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:41.260867Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:a3bff6967412e3c6fcef2f1805eca803e834d79a85a7ed547a380bed0627e5c5","observation_id":"4393fa5b-470d-4439-8bae-6910c7f3a7d8","resolution":{"observed_at":"2026-08-07T12:47:42.289076Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:42.024185Z","title":"N., & Bau III, D","venue":null,"work_id":"e94ed776-bcb1-420e-a13c-f7414f5bd914","year":1997},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:41.375127Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:96fca1864acbf602e7dfbe78bb0ac2f339e7b987ea3e3bd1ebe362c765b034ad","observation_id":"81e9f6da-484c-4ebb-bd88-f5a2753aa6d9","resolution":{"observed_at":"2026-08-07T12:47:42.113299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:41.867197Z","title":null,"venue":null,"work_id":"ffeb8cbd-a804-43bd-8bd8-07bee652759e","year":2005},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:41.489151Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:0b57e230f4565f2ec71776f489350c38403ef667e38d832a92e1858ee8c0f7b8","observation_id":"9abf0230-8cb8-49b2-bc4f-865c86ff77be","resolution":{"observed_at":"2026-08-07T12:47:41.935699Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:47:41.734514Z","title":null,"venue":null,"work_id":"d4e4d616-71f9-4366-93c7-ba8407f79b84","year":2014},"citing_paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:47:41.590003Z"},"links":{"citing_paper":"/paper/2505.23552"},"observation_digest":"sha256:0cc19fbca759a656977379f5cf65e28b5aa5f892cc50cac5f5b7a30da2023715","observation_id":"efd0d603-9cd8-417d-861a-24d9a4b22859","resolution":{"observed_at":"2026-08-07T12:47:41.779917Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.23552","last_updated":"2025-05-29T15:28:46Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T12:41:13.484156Z","submitted_at":"2025-05-29T15:28:46Z","title":"Comparing the Moore-Penrose Pseudoinverse and Gradient Descent for Solving Linear Regression Problems: A Performance Analysis"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":24},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.23552."}