{"as_of":"2026-08-12T23:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f8a66c44f37ec111be776b92a86bf339f7bcaa20704063ea79a09197f49f831b","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:34:12.328711Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2411.13482/citation-record","integrity":"/paper/2411.13482/integrity","json":"/paper/2411.13482/citation-record.json","paper":"/paper/2411.13482"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:34:12.553303Z","title":"Bezhanishvili, David Gabelaia, and Mamuka Jibladze","venue":null,"work_id":"4d69a60d-2308-4218-a58b-c07b6880268a","year":2016},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.266674Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:7618b771940d80cb3e9b4ff650038b59e474bdbb6c3f3a51e0a1b6462307ac8f","observation_id":"50d3f005-73c4-4677-ab58-0168e6db0a7c","resolution":{"observed_at":"2026-08-12T16:34:12.557776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.538855Z","title":"Wallman duality for semilattice subbases.Houston J","venue":null,"work_id":"2352892c-c3ba-44b5-9e89-5515e14d74af","year":2022},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.272085Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:2e934044fc88b93ea8879df370ec18d994e9fb7c83171b5012ad95d0cabd2af2","observation_id":"891a7939-8303-4129-af3a-538189f1934e","resolution":{"observed_at":"2026-08-12T16:34:12.543727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.524961Z","title":"Chandler and Gary D","venue":null,"work_id":"35f6d136-8511-47ac-8d2f-0175b88e5b8f","year":1998},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.276456Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:4efe12be8b27022ec01dcdca90b117b4b1e30a3fe742704fd2592bddb01eac85","observation_id":"16151d00-5f16-4a21-bcaa-d696868dc996","resolution":{"observed_at":"2026-08-12T16:34:12.529409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.511137Z","title":null,"venue":null,"work_id":"8ee121a8-c14b-4e63-84b8-8cfd9022b153","year":1972},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.280771Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:5bff1797d4222ebdc503348dc228cab8420631ecca67cfbda86492fc9d9b6b69","observation_id":"6de7717c-d69d-4e50-8f33-7fb79341d27d","resolution":{"observed_at":"2026-08-12T16:34:12.515512Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.496827Z","title":"Heyting Algebras: Duality Theory","venue":null,"work_id":"8c1c6251-28e5-4fbf-8d41-1b23cfb56a87","year":2019},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.285767Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:97605775500b3fa901bcc3fa150da0999b7706427231b2c4b61d9f7a0fffa303","observation_id":"d727c485-aa62-4e76-824b-9333290509f4","resolution":{"observed_at":"2026-08-12T16:34:12.501402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.480896Z","title":"Compactifications and semi-normal spaces","venue":null,"work_id":"c71b0b48-3110-4e69-a481-d43304911191","year":1964},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.290833Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:411425183e5a44d400423b4b0888ec28c15b9e9fe06068d06e55e2fb228d3c1a","observation_id":"b09bd2b5-457c-4b50-bf09-1ccc845091ac","resolution":{"observed_at":"2026-08-12T16:34:12.486149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.463217Z","title":"Gehrke and S","venue":null,"work_id":"fa28b5e3-8d61-47be-bc10-4886a7f97de6","year":2024},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.296253Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:49e8008c9dc50bab12ffb6f6f48803f74b23211a4028da18db30d29189130b03","observation_id":"d1f95482-c448-4776-ac1f-ce52783c8fa4","resolution":{"observed_at":"2026-08-12T16:34:12.468962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.449398Z","title":null,"venue":null,"work_id":"58b00cec-6069-4ecb-8114-68fc758166a3","year":1972},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.300791Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:5fc69acec953779d322cfa0db2486869a2e988303a340fe16494494e764f18dc","observation_id":"c8868279-40c5-45ac-9be4-e466b6e13453","resolution":{"observed_at":"2026-08-12T16:34:12.453804Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.434643Z","title":"Sheaves in geometry and logic","venue":null,"work_id":"57069416-2eda-4b12-812c-047631037b16","year":1994},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.305251Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:f3bde2b4bdb5917d96e5204943ebfed2969f99d01cff6f3ec8724d3755b0e66f","observation_id":"dce24a30-1ded-4283-9b6c-b922abedc128","resolution":{"observed_at":"2026-08-12T16:34:12.439392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.419850Z","title":"Topological duality via maximal spectrum functor","venue":null,"work_id":"8f764725-a526-47ed-bf9d-b63263b2a4db","year":2020},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.309457Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:4a3ee368c15ccdc3d1930b5f9898ecb68b535ef4a93e2d691ea8a254fa84ece2","observation_id":"93377a56-4b7e-41a9-8bb9-4d10da2bc7a5","resolution":{"observed_at":"2026-08-12T16:34:12.424085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.404134Z","title":"Pedersen","venue":null,"work_id":"ecc1b2e2-3863-48ef-b60a-cc4f257f4838","year":1989},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.313888Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:64278f12f9c6e47136cde3060e775f00976f794c72b8c0aa4ecc8a5625a2c255","observation_id":"f7287051-59c6-4cb4-9cb8-958bd77336b9","resolution":{"observed_at":"2026-08-12T16:34:12.409261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.388993Z","title":"Frames and Locales: topology without points","venue":null,"work_id":"c7cb5edb-cca8-4ac1-bf3a-dd57284e8295","year":2011},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.319046Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:1e587591efd8741347d938fe3a29cfd22604de094f027e10f8ef167a8430dff0","observation_id":"b8554fb7-96e0-41b4-bb60-409bbd457630","resolution":{"observed_at":"2026-08-12T16:34:12.394355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.374221Z","title":null,"venue":null,"work_id":"8d8a154d-b162-42d7-aa90-83230e92e7b2","year":2024},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.323801Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:e939c4814f312e963eb997145d0acc47e075a727c422912100ecd36134e67554","observation_id":"11e63b74-0f39-4660-aa3c-729b88aceb1b","resolution":{"observed_at":"2026-08-12T16:34:12.379201Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T16:34:12.357720Z","title":"Lattices and topological spaces","venue":null,"work_id":"d68cbdc9-d771-46e5-95b1-9137d7e7258d","year":1938},"citing_paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:12.328711Z"},"links":{"citing_paper":"/paper/2411.13482"},"observation_digest":"sha256:fac0f4155feae267ccc74c5f5161672eef678484ca63254d39621261b1bfd776","observation_id":"1f8fdf20-8520-446f-b182-a6bef5998348","resolution":{"observed_at":"2026-08-12T16:34:12.363673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13482","last_updated":"2025-08-19T17:04:32Z","latest_version":3,"primary_category":"math.GN","snapshot_observed_at":"2026-08-12T22:41:46.621285Z","submitted_at":"2024-11-20T17:34:29Z","title":"Reflecting compact $T_1$-spaces into bounded distributive lattices"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":14},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2411.13482."}