{"as_of":"2026-08-14T00:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:15a8594bf63ec250fd170e1c2ac3e33f634127a9a3eab39663d991890575666f","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:59:41.371708Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.16888/citation-record","integrity":"/paper/2411.16888/integrity","json":"/paper/2411.16888/citation-record.json","paper":"/paper/2411.16888"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:59:41.623588Z","title":"Azimi, Constructing (non-)Catenarian rings , J","venue":null,"work_id":"33d2556d-e1ad-4ca2-914f-e88a60cdb3bb","year":2022},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.303625Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:30d7fdf7441514a6c49e5d3d261ebcc46c0d60ce3dac964e3ade27621d47717d","observation_id":"a90fa408-a989-40da-bbbd-bbbf5d934ab3","resolution":{"observed_at":"2026-08-12T12:59:41.630948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.601404Z","title":"Azimi, Hilbert rings with maximal ideals of diﬀerent heights and un ruly Hilbert rings , Canadian Mathematical Bulletin, 66(1), (2022), 196–203","venue":null,"work_id":"6fc7c0e9-64fe-4ddd-966d-24247ad4569c","year":2022},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.309120Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:9f83a2926d10f949499df107eedf9835e11c2a3e31e807b44c4e5d8a94da7210","observation_id":"554ee059-081d-4666-8696-58999fc27407","resolution":{"observed_at":"2026-08-12T12:59:41.612952Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.582017Z","title":"Azimi, P","venue":null,"work_id":"2f07650b-1f79-4b3e-9ca9-52f9af053d86","year":2018},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.313025Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:95a008bb8eb1515505cbf5c7394bee5c4b1b1e44716671869fb61436a6b15fda","observation_id":"60e12bee-8b95-4b50-852f-16343a25ef81","resolution":{"observed_at":"2026-08-12T12:59:41.588799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.566676Z","title":"Azimi, P","venue":null,"work_id":"2cf051dd-da31-46c5-9ba6-83a062efd94b","year":2019},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.316943Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:0966617ecaf548a7cc7f0f4e623dd30ca83ecb1b881d5a83856948842e0c5bee","observation_id":"bba4bb92-a612-4fe1-bea6-62c376c68bef","resolution":{"observed_at":"2026-08-12T12:59:41.570450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.554037Z","title":"Banaschewski, pm-rings and the prime ideal theorem , Topology Appl","venue":null,"work_id":"c7f54042-e42c-4ccf-ba6c-d9d4c0e7504a","year":2011},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.321734Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:93f5ea542b14e8a0bf18a9e87c2fe347e0de0a602f0c1620e8f16b27ff8d4aa2","observation_id":"f10c565f-bf96-47e1-bedd-93e71d4b4ffb","resolution":{"observed_at":"2026-08-12T12:59:41.558529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.541598Z","title":"Contessa, On some properties of pm-rings and mp-rings , C","venue":null,"work_id":"4d175e1f-47f7-47d9-8fa0-c966c4b12f7f","year":1981},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.325499Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:38d29ecb5aad7d85bf7403c8f82bd15e7a664572ae92a7758438b11e735c2192","observation_id":"6a7c843f-32f9-40dc-84ca-2dfc4e4f910a","resolution":{"observed_at":"2026-08-12T12:59:41.546668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.531755Z","title":"Contessa, On pm-rings , Comm","venue":null,"work_id":"a1eade51-d7fb-444e-83ac-a70d385c3a34","year":1982},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.330194Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:b1f06e905b418da948b12f7719e700653cf543cb4e3686e3057d8b9188e244e8","observation_id":"7cfe97ce-b6c4-46ed-9bd3-c5717708cdcb","resolution":{"observed_at":"2026-08-12T12:59:41.535079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.522354Z","title":"De Marco, A","venue":null,"work_id":"6529f4aa-6563-45d0-97da-a1e14dd0c971","year":1971},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.334432Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:1769e72c9182d4a3e7799b413297e68a1f081218b1740f9e5110912cd9ff0fe8","observation_id":"7ad93617-a60a-45b7-aef7-38bf41adfbbd","resolution":{"observed_at":"2026-08-12T12:59:41.525663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.511934Z","title":"D’Anna, C","venue":null,"work_id":"75858faa-f4a2-4881-a22d-e38598e92d00","year":2008},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.337625Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:ffdd712d1cb215783e26e35d95ddcca251ec66e2695d7f489bc74ce23d05efea","observation_id":"80f9b73f-1371-4dab-a3b7-540a035811dc","resolution":{"observed_at":"2026-08-12T12:59:41.515356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.500627Z","title":"D’Anna, C","venue":null,"work_id":"a791a1ba-d0f4-4c4f-957c-68ea31c4f360","year":2010},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.341479Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:aef6e195a32a774fc7fa3b9b06c0aa6d9d48e06223f24471da40dc916ccb7d40","observation_id":"1484a872-aad7-4c65-9998-1c083cd70475","resolution":{"observed_at":"2026-08-12T12:59:41.504561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.491091Z","title":"D’Anna, C","venue":null,"work_id":"93e78dc8-cca3-4fe9-8942-dc0c20b45206","year":2016},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.344689Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:cc6bcf70938fc4e7c89c100d6f893847d741f61dbd1d6a5aca6a5ee370eab771","observation_id":"7a36158f-aca7-4761-b7ec-18901110825d","resolution":{"observed_at":"2026-08-12T12:59:41.494246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.481874Z","title":"D’Anna and M","venue":null,"work_id":"6e85171a-5a05-47bd-ad98-bbf09a45ba87","year":2007},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.347732Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:12dfe08a08e6c72c8a4f343ee2eed3d9f70d85fcd69dd5fc6cb3cdd6c471dc42","observation_id":"d8b18402-d815-42ea-8708-0f6b95ec3546","resolution":{"observed_at":"2026-08-12T12:59:41.485573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.469315Z","title":null,"venue":null,"work_id":"630cbd7e-6390-4c0d-a41c-c19927433618","year":2014},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.350734Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:6afcf66cc8f0620c712d1ffcb331d1663ae634e259afbc8c7d651f05af4ce2ba","observation_id":"aa26f6c9-0817-458d-9724-93ea5f57b77f","resolution":{"observed_at":"2026-08-12T12:59:41.474121Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.458013Z","title":"Kaplansky, Commutative Rings , rev","venue":null,"work_id":"64968fe5-5fa1-40cf-a3aa-14489bc2b171","year":1974},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.354450Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:d5d2e20a2b7dbc59fdb9a46d0d51cb9fb43bf45e1e3004ef57a328e86b6640c8","observation_id":"9672f57b-a67e-42a8-a898-47813717dd2f","resolution":{"observed_at":"2026-08-12T12:59:41.461964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0219498814500182","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:59:41.398091Z","title":"Mahdou, A","venue":null,"work_id":"a74d394b-3ad9-4201-8750-2b6176ce9ed5","year":2014},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.358518Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:a8089f9098e37123fb84e3f23aca54aa153dd3a3e73a8d19c5b6e6950636e653","observation_id":"2518e413-5291-4eaa-a638-0e0139e04283","resolution":{"observed_at":"2026-08-12T12:59:41.403456Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.447700Z","title":null,"venue":null,"work_id":"17f8250c-dc27-4b4d-b539-e3dd9fc4a493","year":1979},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.362007Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:c7972866dd76e3bf035c6ca2f6cab700753ba541492a8cbc75209ff3adac9069","observation_id":"0a3c12be-a049-4102-bcbf-01eaeea421be","resolution":{"observed_at":"2026-08-12T12:59:41.451303Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.436695Z","title":"Nagata, Local Rings, Interscience, New York, (1962)","venue":null,"work_id":"23b00ee0-ea33-4b7f-9561-d3445ae82553","year":1962},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.365419Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:3f4374c2be8a87586eb7e2441f33ad57bdce0958ef978838bb7a267daa596531","observation_id":"dc1d3621-c9f7-47f7-84e1-6b94b8b9bde2","resolution":{"observed_at":"2026-08-12T12:59:41.440898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.426722Z","title":null,"venue":null,"work_id":"d9ca332b-946b-4768-8e47-1f5ceb176dd4","year":1970},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.368470Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:8420f90dd43904b608d72fb3dcdbbd1aed6cda08b4b8206af82387d7c3170e5d","observation_id":"d139f753-427f-40e9-ac8e-3e725b0903e4","resolution":{"observed_at":"2026-08-12T12:59:41.430050Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:59:41.415985Z","title":"Tarizadeh, and J","venue":null,"work_id":"f20f33ec-f3a4-47ca-9484-71e3cade0a9c","year":2021},"citing_paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T12:59:41.371708Z"},"links":{"citing_paper":"/paper/2411.16888"},"observation_digest":"sha256:19be0d619d034bae6804a99f27be04be47dae63f756b0d590f1c938c61f947d9","observation_id":"d516787f-16c5-41bc-97c2-740da8b283ae","resolution":{"observed_at":"2026-08-12T12:59:41.420147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16888","last_updated":"2024-11-25T19:39:56Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-12T12:44:11.344692Z","submitted_at":"2024-11-25T19:39:56Z","title":"On the prime spectrum of the amalgamations"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":19},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2411.16888."}