{"as_of":"2026-08-18T07:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:84698a49a3d209cf28c2dd2a50e781656bbf14d0d0f8874beeb672574879b83a","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":"2026-08-15T16:24:37.075736Z","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":"2026-08-18T06:34:40.430872+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/2509.06577/citation-record","integrity":"/paper/2509.06577/integrity","json":"/paper/2509.06577/citation-record.json","paper":"/paper/2509.06577"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T16:24:37.497010Z","title":"Computer Vision and Image Understanding107(1–2), 56–73 (2007) Approximating Condorcet Ordering for Vector-Valued MM 13 Jϕ B S (J)ϕ h∗ S (J) ϕh1 S (J)ϕ h2 S (J)ϕ h3 S (J) Fig","venue":null,"work_id":"e5199b9c-7761-4df5-b686-2c2dc1830780","year":2007},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.956652Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:99644d6b723572e1f73d311d7793aad65ad040eb594194d2967614419584d5c3","observation_id":"5f3c1dfb-d99b-47db-a0d9-d210c1c4a78f","resolution":{"observed_at":"2026-08-15T16:24:37.502458Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.480854Z","title":"Pattern Recognition40(11), 2914–2929 (2007)","venue":null,"work_id":"d8ba5c60-07a5-43f4-8b58-360ff5698b24","year":2007},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.963374Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:2866cff24baa57587c44cd18206f642002ce4e4cb3e01b1d689c0ab7767463e6","observation_id":"6fca6157-f566-4103-a077-5679af29c8ee","resolution":{"observed_at":"2026-08-15T16:24:37.486342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.464088Z","title":"American Mathematical Society, Providence, 3 edn","venue":null,"work_id":"a9a8e078-044f-4066-ad57-9a6da44995ea","year":1993},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.968329Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:762f2781b593ad48e63e8b1f91529ff2b3b5aa34276da37b2e3e5733f05373ec","observation_id":"45d789d5-5d1a-4fca-a02f-4554df1427df","resolution":{"observed_at":"2026-08-15T16:24:37.469394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.447507Z","title":"(eds.): Handbook of Computational Social Choice","venue":null,"work_id":"49ae989e-c4db-4b91-af2b-a9496588d13b","year":2016},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.973686Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:032f2f2ccef38f9d98f184311a5c28b02771687d034c4cbfa7151f8c8cf62488","observation_id":"2d009291-7bdd-4847-8d32-56f68f77619e","resolution":{"observed_at":"2026-08-15T16:24:37.452736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.430125Z","title":"Journal of Mathematical Imaging and Vision54(3), 344–357 (3 2016)","venue":null,"work_id":"48d0d438-23aa-4fa1-a62b-1224e13ed219","year":2016},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.979072Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:04e70ef6fb813a89589b983e41df32c3674e8db4bf759206ca186759317e8996","observation_id":"5200836b-145d-470b-8521-1f824bb3951b","resolution":{"observed_at":"2026-08-15T16:24:37.435789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.414207Z","title":"In: Benediktsson, J.A., Chanussot, J., Najman, L., Talbot, H","venue":null,"work_id":"f21abd58-2714-47ff-85c4-ae267a7210e6","year":2015},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.984669Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:4e75c96103a33bf9cbbe180377fffda8f4df4c26dc88efaaa2e1486bb54ccd00","observation_id":"2cc27d57-475f-4184-b20f-97cf72059390","resolution":{"observed_at":"2026-08-15T16:24:37.419409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.398152Z","title":"Springer Berlin Heidelberg, Berlin, Heidelberg (2011)","venue":null,"work_id":"0b54df6a-5868-4e53-b6dc-339c3ea74bd9","year":2011},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.989940Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:9f9e966911e3df39602b9ca043be64648f0b5a2f3582f4151f7bf1ee8123b8fb","observation_id":"40c0408a-9625-4e7c-9730-47ad11ec0b5f","resolution":{"observed_at":"2026-08-15T16:24:37.403239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.380245Z","title":"Computer vision and image understanding62, 326–346 (1995)","venue":null,"work_id":"d7e5a5c4-91e4-4201-af41-f3891cd8a2ab","year":1995},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.994553Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:61a2ba8b77ec8658c4b90daac6eb2b6515e505dfcff235abb5c24a9d7a15df64","observation_id":"6ac73338-3615-4762-8177-dacff5e6690a","resolution":{"observed_at":"2026-08-15T16:24:37.387029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.364720Z","title":"SIAM Review37(1), 1–36 (1995)","venue":null,"work_id":"7131e18a-0dea-49c2-aa6e-f2b559cf0a46","year":1995},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:36.999475Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:53fb389b3c4c9c1a8428d9d2edf6ecc1a4c7eb60df2e5875215802b4c5074dfb","observation_id":"43cf837e-c2ac-4e32-860c-eff40c80f9bd","resolution":{"observed_at":"2026-08-15T16:24:37.369735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.348649Z","title":null,"venue":null,"work_id":"6d8e3c17-ee60-4a2f-8adf-4783a63fef15","year":2009},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.004081Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:036519ed014f8eb03e14a55c8d1e7717fa0e87c821f4b3735e7ca6cf8c73ac75","observation_id":"7c476fdd-4813-4a03-bb77-de9d3e1386c2","resolution":{"observed_at":"2026-08-15T16:24:37.353587Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.332851Z","title":null,"venue":null,"work_id":"1a056916-e7f3-43e1-b2b2-9782d6ffd792","year":2014},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.008720Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:72f3291f871abda5fe30ca1bb1af4a4b3a727b5db660c9ad8366b2ca3c832ff5","observation_id":"d577e08f-9c55-46a0-b635-30fe3a8f6a2a","resolution":{"observed_at":"2026-08-15T16:24:37.337604Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.00119","last_updated":"2025-06-27T13:26:25Z","snapshot_observed_at":"2026-08-16T13:04:00.738923Z","submitted_at":"2024-10-31T18:17:39Z","title":"Soft Condorcet Optimization for Ranking of General Agents","version":4},"cited_work":{"arxiv_id":"2411.00119","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.00119","snapshot_observed_at":"2026-08-15T16:24:37.113635Z","title":"Soft Condorcet Optimization for Ranking of General Agents","venue":"cs.MA","work_id":"82eeea01-ed65-4b2d-974b-9ce0472e68f1","year":2024},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.014426Z"},"links":{"cited_paper":"/paper/2411.00119","citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:776a1ce556fcde195c803bfe96a13581e5de33e253f7281b5295bce24ac3f1d6","observation_id":"c3b94081-4f1a-45e2-a98e-3f097c80155b","resolution":{"observed_at":"2026-08-15T16:24:37.121496Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.315381Z","title":"Mathematical Morphology - Theory and Applications5(1), 43–69 (1 2021)","venue":null,"work_id":"c04aa755-19e0-40dd-95d4-4dcd995ea255","year":2021},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.019776Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:753c594a6259d2569e4c55ae59162449298820bec859af9b1e5357747eec1d8e","observation_id":"ed82595b-3e81-40b1-a9d5-579e288d677a","resolution":{"observed_at":"2026-08-15T16:24:37.320539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.300044Z","title":"Revue de statistique appliquée30(2), 21–44 (1982)","venue":null,"work_id":"48d6de59-32c7-4aab-bd0a-e231e336a072","year":1982},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.024535Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:8151b94bf094f2d7eabac32504d9f23ff6c997be7b8248916da6649171124483","observation_id":"0cb8463b-adba-452b-b4af-1a60803cd57c","resolution":{"observed_at":"2026-08-15T16:24:37.304972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.282240Z","title":"In: Proceedings of the 8th International Confer- ence on Computer Vision","venue":null,"work_id":"7a486458-2193-4c3d-89d7-6b8a9ddee26d","year":2001},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.028972Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:5959e206dc7fce3027954452128354febb7354fab7bd240073a62603ef73cdb8","observation_id":"316cdb47-5b17-4e97-8b59-a3e32f63abba","resolution":{"observed_at":"2026-08-15T16:24:37.288787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.264598Z","title":"Signal Pro- cessing21(2), 129–154 (1990)","venue":null,"work_id":"43553f20-3682-410f-b773-f67f94b6a410","year":1990},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.034282Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:3cafaa25e819e708a6e58f1796d406a7318f55fd4a579520310bf9cea478d694","observation_id":"206e1983-8afd-4a9c-b34c-03d50692015e","resolution":{"observed_at":"2026-08-15T16:24:37.269898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.248000Z","title":"False Colour","venue":null,"work_id":"b921951f-7b04-4f60-8b3a-75dd083c4b54","year":2009},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.039480Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:3f88ed88dbba913bd19c7250d585ad046dd8f1712b11f39b61284ffc4448a4af","observation_id":"7923c698-90c0-49ca-af88-9e49118f106e","resolution":{"observed_at":"2026-08-15T16:24:37.253531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.231621Z","title":"Springer Verlag, Berlin (1999)","venue":null,"work_id":"261628db-5ce4-4c71-8e31-49474cfafd57","year":1999},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.044375Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:46500db57c072a1e32c5a4d21df63a0846fb23fc80d24a9ff92a360c0c915013","observation_id":"f9f095fd-cb0a-4676-9f13-a415d004bfdf","resolution":{"observed_at":"2026-08-15T16:24:37.236876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.214652Z","title":"Journal of Mathematical Imaging and Vision64(7), 754–770 (4 2022)","venue":null,"work_id":"0b8de9b3-064b-432d-89e5-b62cadf105d6","year":2022},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.050294Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:208f7cd6490200c11444c07e2e2b69c54268c5cd16b12ab4a180137bd1297a3a","observation_id":"7374a323-dd0f-409b-a946-08d9cae83652","resolution":{"observed_at":"2026-08-15T16:24:37.220008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.197632Z","title":"In: Celebi, M.E., Smolka, B","venue":null,"work_id":"822be3d2-ae30-4480-8e2f-6311abc4c5ca","year":2014},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.056249Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:873901a1ab9f08c6004e73a499a0537ad55ed166227a263ef425cf6d96fb5ddd","observation_id":"9b01ad03-49c2-4498-9d16-b4f9b9117b28","resolution":{"observed_at":"2026-08-15T16:24:37.203407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.060926Z","title":"Neurocomputing147, 235–238 (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.060926Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:727033751ad7b8c5e952bbade75fc520e6eaec30db367edb282317dc7a4b19d3","observation_id":"b4f5d6a3-90ae-409e-862b-8ac8bf98b9cc","resolution":{"observed_at":"2026-08-15T16:24:37.060926Z","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":"2026-08-15T16:24:37.167560Z","title":"American Political Science Review 82(4), 1231–1244 (12 1988)","venue":null,"work_id":"be825505-482c-4c64-b664-3c34b559d041","year":1988},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.066070Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:7770495f3e840761bc7a1c54e5348c1205e323d358c29fc619a21c5a3a2346dc","observation_id":"c7a80087-6aff-43a6-a3c3-1d06917da7fe","resolution":{"observed_at":"2026-08-15T16:24:37.173299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.149742Z","title":"SIAM Journal on Applied Mathematics35(2), 285–300 (9 1978)","venue":null,"work_id":"78c0ada8-c1b4-4348-b02c-9d39c7390c46","year":1978},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.070694Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:2744d89a21d0f72d5abffc1670590cbef5592452f34d5103d38e2bd29bd7ec34","observation_id":"27f590dc-0b95-4c48-b322-0c254cce849e","resolution":{"observed_at":"2026-08-15T16:24:37.154900Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:24:37.133413Z","title":"In: Handbook of Computa- tional Social Choice, pp","venue":null,"work_id":"f0129704-0b52-4691-8525-bafbac26e5a9","year":2016},"citing_paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T16:24:37.075736Z"},"links":{"citing_paper":"/paper/2509.06577"},"observation_digest":"sha256:1d318800e345b86d9be841a533afaa03918df12f55d12a75d44e2bfc6d2a4014","observation_id":"59b8c2df-6d9c-4cdb-bdac-e1657b24da1c","resolution":{"observed_at":"2026-08-15T16:24:37.138639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.06577","last_updated":"2025-09-08T11:47:11Z","latest_version":1,"primary_category":"cs.CV","snapshot_observed_at":"2026-08-15T16:13:47.435527Z","submitted_at":"2025-09-08T11:47:11Z","title":"Approximating Condorcet Ordering for Vector-valued Mathematical Morphology"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":20},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2509.06577."}