{"as_of":"2026-08-23T21:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b97e7ca9e0fb8c3875170f01938000d068561ded860a9f7652095814f6e8858c","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T07:59:37.138045Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2606.03400/citation-record","integrity":"/paper/2606.03400/integrity","json":"/paper/2606.03400/citation-record.json","paper":"/paper/2606.03400"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2478/s11533-009-0002-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Central European Journal of Mathematics.7, 299–309 (2009).https://doi.org/10.2478/s11533-009-0002-y","venue":"Open Mathematics","work_id":"e7e16f69-0a67-474a-a823-60a522e99d62","year":2009},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:102e688a298f2aa57b770da6c0a6bd310cbd46f58354415010e6a1125c47e8a3","observation_id":"f280b9a5-38a8-4072-84f3-1c8a1d5af44a","resolution":{"observed_at":"2026-06-28T08:01:46.579836Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-06-28T07:59:37.138045Z","title":"C.: Semi-Boolean Algebra.Matematicki Vesnik.4, 177-198 (1967)","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:a77c648a22bb51e5fd1a2f1c923b0fc8cba5f3643c4c4e63565c2eb0df9064c5","observation_id":"74fa4836-9c76-4ebb-8bed-a6f48d877789","resolution":{"observed_at":"2026-06-28T07:59:37.138045Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T07:59:37.138045Z","title":"C.: Implicational algebras.Bulletin math´ ematique de la Soci´ et´ e des Sciences Math´ ematiques de la R´ epublique Socialiste de Roumanie.11, 3–23 (1697)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:b8478bd8c7a913e3272bbeac9028cebaa030a0955cb44d3fa5ac085736c2cf23","observation_id":"064ed902-f3dd-47fb-8f69-28664fdd77b9","resolution":{"observed_at":"2026-06-28T07:59:37.138045Z","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":"10.1017/jsl.2019.11","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"org/10.1017/jsl.2019.11","venue":"Journal of Symbolic Logic","work_id":"dd436e1d-a1ab-4cba-9722-16a57bad15c3","year":2020},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:a4c26ec08f5814f26e013d3284e4652c0da56bc00088bf5582ef9684e9230375","observation_id":"e3030590-24bd-4ebf-bbee-91e8073cb0b2","resolution":{"observed_at":"2026-06-28T08:01:46.581707Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-06-28T07:59:37.138045Z","title":"Chelsea Publishing Company, New York (1962)","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:2c547446255593705ae68773aff87a6f5597b4ed44b59040011f9a5b5eef219a","observation_id":"59841641-f5c3-4bab-a4b5-65aacfdb8448","resolution":{"observed_at":"2026-06-28T07:59:37.138045Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T07:59:37.138045Z","title":"Part I, volume 64 of Studies in Logic and the Foundations of Mathematics","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:91a0f608ca829c9e0cad999132e89206b89a6cf7702ec4a55b8f7b78fb9f7dc1","observation_id":"3cbe3aa3-aec8-4488-92d5-2e4a791f94ce","resolution":{"observed_at":"2026-06-28T07:59:37.138045Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T07:59:37.138045Z","title":"Part II, volume 115 of Studies in Logic and the Foundations of Mathematics","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:b48dca4a0743ea0647bac490777e4dafc09cd111101b880ad4406d7a4ad0950f","observation_id":"30d0ea00-4f2c-4357-a9c8-83bb37ad0184","resolution":{"observed_at":"2026-06-28T07:59:37.138045Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T07:59:37.138045Z","title":"The Australasian journal of Logic.22, 44 – 288 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:651281ce98d4f38d8d4815d0a9abcf0643306809a50982b8633a8bf4f7dfc7a3","observation_id":"54b434d1-2f83-4b77-9de8-78dad35dc9e2","resolution":{"observed_at":"2026-06-28T07:59:37.138045Z","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":"10.1007/s11225-026-10234-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Studia Logica","work_id":"88341531-f838-411b-b023-d57d1b622b49","year":2026},"citing_paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T07:59:37.138045Z"},"links":{"citing_paper":"/paper/2606.03400"},"observation_digest":"sha256:ff9c596fb289f6de248e9cd95c372c8e10ef76c9dc3845d38bb779b7f4768a0f","observation_id":"09375981-9ce9-418a-8862-d1868776f372","resolution":{"observed_at":"2026-06-28T08:01:46.578003Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.03400","last_updated":"2026-06-02T09:41:44Z","latest_version":1,"primary_category":"math.LO","snapshot_observed_at":"2026-08-17T23:38:29.217358Z","submitted_at":"2026-06-02T09:41:44Z","title":"Monadic and cylindric expansions of bounded implication algebras"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":9},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2606.03400."}