{"as_of":"2026-08-14T09:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:04975dca5f6cc27980dd91b38afe23256854389150e32e1b689a07df47cd4da0","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T18:32:57.301328Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T00:12:37.635093Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T14:47:03.846271Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"cited_work":{"arxiv_id":"2502.00598","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.00598","snapshot_observed_at":"2026-07-02T14:47:03.846271Z","title":"org/abs/2502.00598(preprint), 2025 (cit","venue":null,"work_id":"21519334-b1e0-4834-93bf-088f38011e71","year":2025},"citing_paper":{"arxiv_id":"2606.06707","last_updated":"2026-06-04T20:45:57Z","snapshot_observed_at":"2026-08-02T09:45:03.264909Z","submitted_at":"2026-06-04T20:45:57Z","title":"Strong marker sets for arbitrary generating sets of $\\mathbb Z^n$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T00:12:37.635093Z"},"links":{"cited_paper":"/paper/2502.00598","citing_paper":"/paper/2606.06707"},"observation_digest":"sha256:c4f69c89d126d39258f4c362442eacab688573aab9a11bdd54cd24b60aeb5fae","observation_id":"b2a688a7-dc25-498a-b581-aa1e90ba2307","resolution":{"observed_at":"2026-07-02T14:47:03.847999Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.00598/citation-record","integrity":"/paper/2502.00598/integrity","json":"/paper/2502.00598/citation-record.json","paper":"/paper/2502.00598"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:32:57.418777Z","title":"Becker, A","venue":null,"work_id":"0277e4e0-7e03-4c43-b87d-d2b88b83dedb","year":1996},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.266254Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:3645d82bc4d88b90d1fc28a00cbec0a2abc3a61626345bab4847aee035877b10","observation_id":"6a57f77d-2027-4f90-a6c5-1c54944ee4f6","resolution":{"observed_at":"2026-08-09T18:32:57.422120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.408068Z","title":"Dougherty, S","venue":null,"work_id":"cda39f9a-f8f4-4780-9556-d0a66e75af54","year":1994},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.270322Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:e7e932350ac20cd1aab4367c485612a5bf9c66732d69e037a99c11a02b0ef34e","observation_id":"e26c7845-9785-47c6-b756-db818c4cd2be","resolution":{"observed_at":"2026-08-09T18:32:57.411119Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.399757Z","title":"Feldman, C","venue":null,"work_id":"2a49ac95-5fa1-4865-a5f9-b06fe3b0cd55","year":1977},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.273142Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:86011221c43331a6f04f52ebc7de569d188844bd36c78f3d0cb00113fac7474f","observation_id":"16de9ef7-2b35-4a6a-a810-8b980e8f4e6d","resolution":{"observed_at":"2026-08-09T18:32:57.402962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.390076Z","title":null,"venue":null,"work_id":"6db09fbc-5cea-44ee-b667-a98cbcbe0a74","year":2015},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.276754Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:5a374dac679029d68f81957548b2170d5a525ae8b45768f3d42e0bd7c588a51f","observation_id":"971482e2-4ab0-4ef6-b681-52b236e4c0c0","resolution":{"observed_at":"2026-08-09T18:32:57.393876Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.380191Z","title":null,"venue":null,"work_id":"2d274c4d-9df0-467d-ae70-f442c20339c4","year":2022},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.279882Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:c86286964d0d389415268dbde175702097068bdda7c8d4dfeeb6165f162e66ad","observation_id":"c4b4ca1e-a776-4c61-8c21-8c2d26110b83","resolution":{"observed_at":"2026-08-09T18:32:57.383432Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.03872","last_updated":"2023-04-05T01:17:49Z","snapshot_observed_at":"2026-07-06T06:27:37.630587Z","submitted_at":"2018-03-11T01:06:58Z","title":"Continuous Combinatorics of Abelian Group Actions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.03872","snapshot_observed_at":"2026-08-09T18:32:57.282828Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.282828Z"},"links":{"cited_paper":"/paper/1803.03872","citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:222febaae65efe3500cc27a81246d6b84845833d9adeb54be88b4f2798593ea8","observation_id":"362d763b-b66d-4ab4-bf25-fc3164425fa6","resolution":{"observed_at":"2026-08-09T18:32:57.282828Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.13866","last_updated":"2024-01-25T00:33:31Z","snapshot_observed_at":"2026-08-13T04:35:08.928999Z","submitted_at":"2024-01-25T00:33:31Z","title":"Borel Combinatorics of Abelian Group Actions","version":1},"cited_work":{"arxiv_id":"2401.13866","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.13866","snapshot_observed_at":"2026-08-09T18:32:57.329334Z","title":"Borel Combinatorics of Abelian Group Actions","venue":"math.LO","work_id":"8708d658-8764-4b84-a9f3-afbfbf20f302","year":2024},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.286222Z"},"links":{"cited_paper":"/paper/2401.13866","citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:552c94dd49246415ec7b433149bedd36498711de69983145675ed1fc9df30a8d","observation_id":"04f427ed-9302-4a56-ab02-ceb8a46ed050","resolution":{"observed_at":"2026-08-09T18:32:57.334392Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.289209Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.289209Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:202e522d3ac27443ff2c783e86de96683a4918dcc8936b8d511dc238c77d07ae","observation_id":"60a547aa-a4cd-4ecc-953c-b2a52c1d47f8","resolution":{"observed_at":"2026-08-09T18:32:57.289209Z","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":"2026-08-09T18:32:57.371777Z","title":"Jackson, A","venue":null,"work_id":"e6935a63-e08a-4772-95b7-1c72e5edfa48","year":2002},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.292075Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:6d360493d1c57b13ea50560b391ae81c07645d9e8f82a543becdeb0c27aafcda","observation_id":"3beb4226-20c0-4244-8ac5-cdb600073c4e","resolution":{"observed_at":"2026-08-09T18:32:57.374937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.362295Z","title":"Jackson, C","venue":null,"work_id":"a149b828-539a-4cf0-86a3-a3cd2441efeb","year":null},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.295178Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:3b23b33c7ee9841e93ce979574a92ccf56aa406bdadafb92604ab576dc141273","observation_id":"c63516ca-44e8-4e58-ab78-36a48821b67b","resolution":{"observed_at":"2026-08-09T18:32:57.365377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.354344Z","title":"Slaman, J","venue":null,"work_id":"f5e7b0f9-99a7-4a7e-a0ea-14caf5a4b6bd","year":null},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.298024Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:8554e78de99f00d3209f93484d25fd227d2c1784f405f7a9de9c4dff96afcee2","observation_id":"89ead171-7d60-4210-8616-41a958326ddd","resolution":{"observed_at":"2026-08-09T18:32:57.356627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-09T18:32:57.346970Z","title":"W eiss, Measurable dynamics","venue":null,"work_id":"937fa1c1-c091-4b80-bf48-e1f4b0064b77","year":1984},"citing_paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T18:32:57.301328Z"},"links":{"citing_paper":"/paper/2502.00598"},"observation_digest":"sha256:cda484600cb85cd10cc44705b32e20f80bd293d4281aba32be20195864140ae4","observation_id":"2fc6d693-e47e-435a-85d0-bd6f69acec2f","resolution":{"observed_at":"2026-08-09T18:32:57.349800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.00598","last_updated":"2025-02-01T23:53:52Z","latest_version":1,"primary_category":"math.LO","snapshot_observed_at":"2026-08-12T23:31:52.193427Z","submitted_at":"2025-02-01T23:53:52Z","title":"Strong marker sets and applications"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":7},"total_outbound_references":12},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2502.00598."}