{"as_of":"2026-08-15T00:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:896af1d9655ffe7e5627e426de1215ea707cf0bd8d363b803a44f53719b2e599","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:47:00.490410Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2506.01634/citation-record","integrity":"/paper/2506.01634/integrity","json":"/paper/2506.01634/citation-record.json","paper":"/paper/2506.01634"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:47:50.543583Z","title":null,"venue":null,"work_id":"100ccc71-1d8a-456e-a932-8c728c98e399","year":1975},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.131754Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:78df3a360f46dff2ebe01cab76e10e2229d6734c91f361789c5c0d3a2f9f7dc5","observation_id":"6e33005d-beb3-4d00-952c-f6827c7aa48e","resolution":{"observed_at":"2026-08-07T11:47:50.583051Z","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":"2026-08-07T11:47:50.446405Z","title":"A phase transition in Minesweeper","venue":null,"work_id":"53b719fd-350f-4126-b75f-2d0a7640a6d1","year":2021},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.165880Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:edea155dc70220c3e325c3e09bc5b022f1edcf515a9e77fa51f3dd248411e7e1","observation_id":"bf14695a-4050-4091-99e8-cd4b002e09f2","resolution":{"observed_at":"2026-08-07T11:47:50.480137Z","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":"2026-08-07T11:47:50.316229Z","title":"Sharp thresholds of graph properties, and thek-SAT problem (with an appendix by Jean Bourgain).J","venue":null,"work_id":"2062ad82-911f-468f-b0f6-b1a8029cb557","year":1999},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.208792Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:42b7899fc037966e37d46c14e0641818c3358410be4b4e7068d1e973eb594365","observation_id":"63ef2156-d146-4e93-adce-7402f9250fa3","resolution":{"observed_at":"2026-08-07T11:47:50.359700Z","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":"2026-08-07T11:47:50.168653Z","title":"Complexity of Planar Graph Orientation Consistency, Promise-Inference, and Uniqueness, with Applications to Minesweeper Variants","venue":null,"work_id":"5b643d39-4922-4435-b7a6-9d447c5986dc","year":2024},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.246292Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:64e1240fd7bf4b84623f1169ba52ea716eb04caad270959f3d61ba71eec10586","observation_id":"a51951c9-9e5e-4e84-8aa2-651ddca13d62","resolution":{"observed_at":"2026-08-07T11:47:50.240341Z","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":"2026-08-07T11:47:50.008518Z","title":"Wiley-Intersci","venue":null,"work_id":"600e19e0-9180-4bd8-9ed5-6e7a1fe3bc8e","year":2000},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.283777Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:8b3a58205fd305b64d7e3f5f1e8fe2720e4548fa48a6addde7edba14f5400a22","observation_id":"505d87d5-8d47-4c5d-8f0f-6fa0cc304ac1","resolution":{"observed_at":"2026-08-07T11:47:50.076558Z","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":"2026-08-07T11:47:49.836706Z","title":"Threshold phenomena and influence: perspectives from mathematics, computer science, and economics","venue":null,"work_id":"29901906-f57a-40de-a143-e7e116e98998","year":2001},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.326568Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:1a9577b1f4ee68a66c64b814fde8b6b3cd3826930d582ee6c8af341d363ba7a0","observation_id":"04c5fa48-b4ee-4f7c-bbce-4fac21aaf74d","resolution":{"observed_at":"2026-08-07T11:47:49.920209Z","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":"2026-08-07T11:47:49.684593Z","title":null,"venue":null,"work_id":"732cb0b8-482a-417a-82fb-e0a96200b647","year":1972},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.365342Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:c721cbfe51a48766d4437391b59c968b97605280a24fc965d2430d1b7a572d07","observation_id":"096d707a-8c94-424c-9f24-cb95c9bfb928","resolution":{"observed_at":"2026-08-07T11:47:49.753932Z","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":"2026-08-07T11:47:00.839714Z","title":"Minesweeper is NP-complete.Math","venue":null,"work_id":"1db103c4-53ad-44c3-943c-24f18053de40","year":2000},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.399542Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:9c38385aa229f3ceb1495b98841bd0de7fa52d009da31b3c21f28939989a6cb2","observation_id":"7e83e5a6-0011-48bb-ac67-31a7793cea1b","resolution":{"observed_at":"2026-08-07T11:47:49.598743Z","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":"2026-08-07T11:47:00.715366Z","title":"Searching for (sharp) thresholds in random structures: where are we now?Bull","venue":null,"work_id":"8de82fc1-c95e-4504-91c6-eb88678facf6","year":2025},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.440257Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:9916588e9b562eb3d5ed779ca26a8df07eadd639a5f5e140f8b10cf8c419c14a","observation_id":"bb2c2dce-2264-476e-9744-0b50d510fea0","resolution":{"observed_at":"2026-08-07T11:47:00.765454Z","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":"2026-08-07T11:47:00.616243Z","title":"Minesweeper may not be NP-complete but is hard nonetheless","venue":null,"work_id":"23caf7c8-400e-4623-9595-ee564d39463a","year":2011},"citing_paper":{"arxiv_id":"2506.01634","last_updated":"2025-06-02T13:12:00Z","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T11:47:00.490410Z"},"links":{"citing_paper":"/paper/2506.01634"},"observation_digest":"sha256:1003527d2bb64ba0e90f1d435a979383ef2c0153704c94a608de9b7202cfd480","observation_id":"61432ebf-8169-4971-ba22-c2629c21c66a","resolution":{"observed_at":"2026-08-07T11:47:00.652723Z","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":"2506.01634","last_updated":"2025-06-02T13:12:00Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T11:34:45.803644Z","submitted_at":"2025-06-02T13:12:00Z","title":"Phase transition for Minesweeper"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":8},"total_outbound_references":10},"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 15 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.01634."}