{"as_of":"2026-08-08T08:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a36756ca45abe1f2ab56312b3a4139de0309d41e7b9570adc2ecf5212fa75203","coverage":[{"denominator":95,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":95,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T22:15:42.019298Z","state":"measured"},{"denominator":95,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":95,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2508.07619/citation-record","integrity":"/paper/2508.07619/integrity","json":"/paper/2508.07619/citation-record.json","paper":"/paper/2508.07619"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T22:15:41.719263Z","title":"Aaronson, B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.719263Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:f9d69913877585bef4ca9555e486f40e197ce8e774c7ee28a44889f86648b9af","observation_id":"3f81c50f-572c-4c07-88e4-fea8590d8df1","resolution":{"observed_at":"2026-08-05T22:15:41.719263Z","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":"2026-08-05T22:15:41.723203Z","title":"Oracles are subtle but not malicious","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.723203Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:4d29fc5d63177df65691df802d8ba4fbeb36c0470fd2998ecccb2389f1cad115","observation_id":"0748ea4d-ed7b-4297-b1b5-0dd6a00dc074","resolution":{"observed_at":"2026-08-05T22:15:41.723203Z","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":"2026-08-05T22:15:41.726217Z","title":"Allender and R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.726217Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:be2a9e5a392b64a048ec5650f242d4260cd784319765eb52799dc645e55305d6","observation_id":"bee33e2e-975e-4d54-8010-9b45782107c4","resolution":{"observed_at":"2026-08-05T22:15:41.726217Z","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":"2026-08-05T22:15:41.733181Z","title":"Ambos-Spies and E","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.733181Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:53bd631d7b378d266c5c7bb9e0e8ec9cda236c8998a2f5e4e3cbf7fd58fe760b","observation_id":"d5a1a8f4-23de-4950-99cc-4e0ea12e9c5b","resolution":{"observed_at":"2026-08-05T22:15:41.733181Z","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":"2026-08-05T22:15:41.736585Z","title":"Ambos-Spies, H.-C","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.736585Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:9f87e6111757a688b69c1689816942193eedc726ca4cfc91b5181f5eea698a2d","observation_id":"71db2de9-8f1c-433a-be0e-dcfea298a06f","resolution":{"observed_at":"2026-08-05T22:15:41.736585Z","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":"2026-08-05T22:15:41.740393Z","title":"������������� ����������� � ������ ��������","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.740393Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:9d37c3caacf24915522cc35ebf33aedc56f2af9426c632708fb5e50a8cabb2eb","observation_id":"58a99491-0c6c-41bd-9bbd-80fc9b9f79cf","resolution":{"observed_at":"2026-08-05T22:15:41.740393Z","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":"2026-08-05T22:15:41.744216Z","title":"Grilo, Tom Gur, Igor C","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.744216Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:f7e9f8572a38f33b38789e5ea85edb59f7f0e2595b3aef5485f55ee614dec729","observation_id":"5b763b94-bfac-4196-89cf-97fecc5bd42b","resolution":{"observed_at":"2026-08-05T22:15:41.744216Z","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":"2026-08-05T22:15:41.748252Z","title":"Arvind and J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.748252Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:fdf7bacf20c89ca5b678e5ea2cc6bd8fa7f497f28c4a7fe03d54d4adc097b418","observation_id":"5eefd26a-8fb2-4fb2-8e9c-aa1aae177dbf","resolution":{"observed_at":"2026-08-05T22:15:41.748252Z","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":"2026-08-05T22:15:41.752061Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.752061Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:39c1e0ea0a5453d851e17be3030490ba4f2a313ee6f57f90901eddbadf7dcfae","observation_id":"ffea01af-c09c-4098-94dd-6d69eb130358","resolution":{"observed_at":"2026-08-05T22:15:41.752061Z","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":"2026-08-05T22:15:41.754968Z","title":"Aydinlioglu, D","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.754968Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:b8eb17085a7d0029f7447c3510c5b97cd2f9934d4b4bbd5f629094cb3b96465f","observation_id":"67026d96-777a-41da-bdd3-825e19261979","resolution":{"observed_at":"2026-08-05T22:15:41.754968Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.13091","last_updated":"2023-08-24T21:31:40Z","snapshot_observed_at":"2026-07-06T16:10:11.901106Z","submitted_at":"2023-08-24T21:31:40Z","title":"Quantum Analog of Shannon's Lower Bound Theorem","version":1},"cited_work":{"arxiv_id":"2308.13091","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.13091","snapshot_observed_at":"2026-08-05T22:15:42.071321Z","title":"Quantum Analog of Shannon's Lower Bound Theorem","venue":"quant-ph","work_id":"79ac55aa-aa0c-462d-bca6-ec70e3f34b98","year":2023},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.757958Z"},"links":{"cited_paper":"/paper/2308.13091","citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:36612e3257b67d04ac60d8d4511f847c2b4fd0240491fe5d0bb606862c56d6a5","observation_id":"ad0a4556-0506-4a05-854c-a9287a59cb6e","resolution":{"observed_at":"2026-08-05T22:15:42.075168Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:41.761666Z","title":"Berman and J","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.761666Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:40aab492346d15ce8e4aa4bde3c72a2f52ca3e4e06827869981fd53906e16c30","observation_id":"f281f17f-2dfb-4cc3-9394-300b95b1b38e","resolution":{"observed_at":"2026-08-05T22:15:41.761666Z","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":"2026-08-05T22:15:41.764641Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.764641Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:3c85b7ca920f4711582389ee0569d28811088ffcc66f2891eea5ba5b9176b7d3","observation_id":"409036b5-c992-4f9f-a075-3d0317b3f89a","resolution":{"observed_at":"2026-08-05T22:15:41.764641Z","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":"2026-08-05T22:15:41.770581Z","title":"Buhrman, L","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.770581Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:57429cc967c11c1b7d3e238b5ebbd7c30807139473423b87e446ed8cc6055e04","observation_id":"f023102a-2aad-479e-b8b9-1c832528dfc9","resolution":{"observed_at":"2026-08-05T22:15:41.770581Z","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":"2026-08-05T22:15:42.799202Z","title":"Buhrman and S","venue":null,"work_id":"6f769494-f9da-4fb9-9327-6f1568948cfe","year":1992},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.773971Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:ab6a5d681454a648bf68b38bea873ac1f484bacc10e18caf2acf01606fac7310","observation_id":"ce4fc0e8-4a79-4a22-8ac5-3aed7183f377","resolution":{"observed_at":"2026-08-05T22:15:42.802445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.790442Z","title":"Symmetric exponential time requires near- maximum circuit size","venue":null,"work_id":"cd195ada-09c4-494f-9187-2c3488e93e2b","year":2024},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.777848Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:403326b47a4ce9211ecdb7740dfe87003cbcbf7943829f429bc685cb88107700","observation_id":"54d05c43-6942-416a-91dd-3a304a988649","resolution":{"observed_at":"2026-08-05T22:15:42.793689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.03171","last_updated":"2021-09-14T16:10:05Z","snapshot_observed_at":"2026-08-05T23:37:23.295403Z","submitted_at":"2021-08-06T15:34:49Z","title":"Quantum Meets the Minimum Circuit Size Problem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.03171","snapshot_observed_at":"2026-08-05T22:15:41.780635Z","title":"Quantum meets the minimum circuit size problem","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.780635Z"},"links":{"cited_paper":"/paper/2108.03171","citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:d72c147448fd519028a658d9d96dc909eec3d85bd9007ce45325ce93045fdeb6","observation_id":"78d164bc-c3cf-4da5-bd15-43664fd6e1ea","resolution":{"observed_at":"2026-08-05T22:15:41.780635Z","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":"2026-08-05T22:15:42.780166Z","title":"Quantum Meets the Minimum Circuit Size Problem","venue":null,"work_id":"de402c4e-ca54-48a4-b660-5ae5b0415eba","year":2022},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.783663Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:62cabaadfad075e1d34c016eb59b8856d6304c04ef955d4552fdfeee1976976a","observation_id":"231e6217-4412-4365-a249-b6610325e9d6","resolution":{"observed_at":"2026-08-05T22:15:42.783877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.770571Z","title":"Downey and D","venue":null,"work_id":"1fd77529-19cb-4044-86ff-c4433a34ac4f","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.786658Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:800ef88c590206045000b816558f9199080528b882ed13b4ac0c9eaff1e212ad","observation_id":"e8eb6f27-bea9-4cbf-9c1b-d351efbeb369","resolution":{"observed_at":"2026-08-05T22:15:42.773689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.751862Z","title":null,"venue":null,"work_id":"4de76629-0fa3-48c2-8540-73c60e745739","year":1994},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.792711Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:b3272218367d671d38d136ad01b2b2e73bd39b6b2a0716628b4942b5f1519a6e","observation_id":"526c819b-88c9-43b9-bc5f-89974b3e552e","resolution":{"observed_at":"2026-08-05T22:15:42.755169Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.743551Z","title":"An oracle builder’s toolkit","venue":null,"work_id":"4c26b629-14d4-40f5-bc48-3e8bf3a85ac2","year":2003},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.796174Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:e9357f51fad1851701ef29c5108d92416ef77761d45e6bf30224267b6122591c","observation_id":"03b16f25-0199-4f2f-aba2-900988c6fbf6","resolution":{"observed_at":"2026-08-05T22:15:42.746383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.735226Z","title":null,"venue":null,"work_id":"9fd5d759-91d9-490b-8a9c-c576b8eaed79","year":2003},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.799331Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:aefcab393502f51f7c0c6f891750163dd1a61c2aad3c950024fbde69b6686ca3","observation_id":"c234cffe-fae2-4bed-b399-7f5bcbf5a84e","resolution":{"observed_at":"2026-08-05T22:15:42.738233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.726527Z","title":null,"venue":null,"work_id":"44356ba0-60ae-4ba9-abae-1f7a4b5117b7","year":1997},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.802249Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:aa9a5b51d1b2a2934c16263628fa14fb5256a75bcfcbfa267e0305890acef624","observation_id":"0a779239-a8dc-495d-b0ab-f64ac3f88093","resolution":{"observed_at":"2026-08-05T22:15:42.730095Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.717516Z","title":"Fortnow and J","venue":null,"work_id":"223a51ee-f2b1-4ac3-8992-4e629fcd5a5e","year":1999},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.805853Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:9ff3b91a5d60b97aaf23fc0ae492fb81dd8c855a3620abb715c313992131ba4e","observation_id":"6dde872a-2ed2-41a2-9d5c-8b4d3a7cc162","resolution":{"observed_at":"2026-08-05T22:15:42.720648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.708307Z","title":"One complexity theorist’s view of quantum computing","venue":null,"work_id":"94835f99-4a1a-44f6-bc75-a46b0b671ad5","year":2003},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.809687Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:3068bbeeb151a7dcb5f7fe6ebbae842d47891239d1c15256afcfea89f94f19fc","observation_id":"7605c9cb-12b4-442f-9303-7885170a27d2","resolution":{"observed_at":"2026-08-05T22:15:42.711613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.697876Z","title":"Reviewing bounds on the circuit size of the hardest functions","venue":null,"work_id":"764a47ca-7fd4-4e6e-898c-580da9113c11","year":2005},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.812799Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:7cb597a02e6c61fe6f358fb78b00b1fff26051c4385134da5b1dd744fd918dcc","observation_id":"e19cb8e0-d4b2-4ea4-be05-46f0a2510079","resolution":{"observed_at":"2026-08-05T22:15:42.701198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.688252Z","title":null,"venue":null,"work_id":"2aa1a6d0-9545-4f3b-b1ce-afc87115ecb7","year":1995},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.816350Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:6aaf433ee1df9a7dc752c70cd2b89ea5a7864e2b15ee9fa1181ad7ba43245123","observation_id":"1ea71734-0cb5-4a54-9155-dd1b84dcb35d","resolution":{"observed_at":"2026-08-05T22:15:42.691583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.679673Z","title":null,"venue":null,"work_id":"ba0d7f52-e6f5-4cba-883c-72f1151a5869","year":2006},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.820171Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:b7254ad2c9200bb75d6e0f0f687d7e333b6c1e6640bb5d4087127c94142b2183","observation_id":"221d2bc6-de98-4aed-8fb8-3a346d927364","resolution":{"observed_at":"2026-08-05T22:15:42.682702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.671293Z","title":"Harkins and John M","venue":null,"work_id":"d2135b57-cffe-442a-b8a9-5c6ffb990060","year":2011},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.823660Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:5176d07320f6fe1d7a368f45a9244589d0738fed6f21181f0889e25c8109ca06","observation_id":"722d4d88-9b40-44e0-ba0c-43cd3e723718","resolution":{"observed_at":"2026-08-05T22:15:42.674266Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.662857Z","title":"Hausdorff","venue":null,"work_id":"293896fb-9720-4ad3-a2e9-5a72bffdab0e","year":1919},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.826365Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:58d5d79870e8ba8f520b34b26607e388679a408d0d6193527e34d38952137196","observation_id":"730c1f41-dd10-490c-8a61-579f114c1351","resolution":{"observed_at":"2026-08-05T22:15:42.665880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.654426Z","title":null,"venue":null,"work_id":"36b83772-4d88-4b03-a8d3-a1b325760cc2","year":2003},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.829392Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:1da6c60cc07a73f2460b40c2ae2ef37e52a8379ebcddd7ee331176262a2975e7","observation_id":"8b50213d-b564-4f2b-9fe9-ed66d9c5bfc9","resolution":{"observed_at":"2026-08-05T22:15:42.657535Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.644465Z","title":null,"venue":null,"work_id":"725146c8-5533-4e7e-88fd-6c28d2361c35","year":2004},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.833026Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:006bc7cfa0e4555ab330f8ef35ec11e92aa2079366f11ea4c38071bcf696a20d","observation_id":"8f6a37f5-4185-4ef3-9741-a4bf18ab20e6","resolution":{"observed_at":"2026-08-05T22:15:42.648415Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.634678Z","title":null,"venue":null,"work_id":"63d5c553-4c86-4851-be0b-9db3f8ceb179","year":2005},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.835870Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:89000bd0cd74bbedfd0e2d5d0dffcdff1fea65d84a98f36ebc93f67e4da3d5b4","observation_id":"43a3b8a5-e58b-4d20-92f9-c6bab8f6f2c1","resolution":{"observed_at":"2026-08-05T22:15:42.637796Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.625332Z","title":null,"venue":null,"work_id":"0788aa33-4094-44be-8203-0681efce21bc","year":2007},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.839198Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:b869335122842d07d64f42090cd616d46fb9d657b1b7a2c031417060869bd7ef","observation_id":"1f9ad81e-1faa-4be1-8ff0-4d0848a9ba3c","resolution":{"observed_at":"2026-08-05T22:15:42.628338Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.615521Z","title":null,"venue":null,"work_id":"9d872679-0dd4-48df-980a-ea67e41d76bf","year":2008},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.842060Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:328f0173c013ba86b0101cfaee967000cda5b13222c83ef2d8182e6ee7c33cb2","observation_id":"a8388763-6f46-4561-a651-1bdf0207ec7b","resolution":{"observed_at":"2026-08-05T22:15:42.619244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.605786Z","title":null,"venue":null,"work_id":"b9f41dfb-0352-44a4-b3f6-fcb1ef9296eb","year":2004},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.845674Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:f7dda7a7331633575f114c93161dd8b1b951996bc438a7adb74a5debd461454e","observation_id":"608cfa66-6006-4080-9c80-5ebedeb50a7d","resolution":{"observed_at":"2026-08-05T22:15:42.609340Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.596833Z","title":null,"venue":null,"work_id":"f4559078-8dd2-46b0-a030-cbd43405f6a3","year":2005},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.848511Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:495d02594d87959064609ac35f6433e567af228f1a6b16c3efb9da56906fc407","observation_id":"f936950b-a583-4918-91d6-4176fd665d0e","resolution":{"observed_at":"2026-08-05T22:15:42.599749Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.588436Z","title":null,"venue":null,"work_id":"d63bbecf-7810-4f54-92fa-2d88f06505d7","year":2008},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.851554Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:9ea83148d2fd9be750a2e2d118816e3a2c2c6f2741cb85c53ce0d8e501b2294b","observation_id":"35dc27a5-ad3a-449a-9b53-0a2799b92eac","resolution":{"observed_at":"2026-08-05T22:15:42.591466Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.578357Z","title":null,"venue":null,"work_id":"8f546d96-19fd-4e8d-b5b9-f9416ad16471","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.855076Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:b2a1d954853b655c9000d5d1e4e9a377f6b18011af10db721f7728ed17fdd911","observation_id":"097c529d-2265-43d2-8716-300721ac6cff","resolution":{"observed_at":"2026-08-05T22:15:42.582325Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.559741Z","title":null,"venue":null,"work_id":"388e80a4-5736-455a-a725-a75827c15519","year":2006},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.861315Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:6c645bb9b020f6d4f763ea40beb33fc979bf121db672c1f95ffb20282823dbb7","observation_id":"858b255c-a0dd-4278-a8e0-63a21e2e43a9","resolution":{"observed_at":"2026-08-05T22:15:42.563110Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.550189Z","title":"Impagliazzo and A","venue":null,"work_id":"66dbf41b-b715-4b5c-bac4-d9e4c8696794","year":2001},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.865258Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:746471388e272cb53f727d07870fcc2fb3f8ebba2fa0e291551521bd0b00d228","observation_id":"64d31501-dee9-442c-af56-8eaa7f3ad001","resolution":{"observed_at":"2026-08-05T22:15:42.553604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.541348Z","title":null,"venue":null,"work_id":"cee9e37e-a37a-417c-9027-045e7e55acb9","year":1995},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.868153Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:d654426403b6915a1984701772af2f65196e744f33aef54fc37fa2a6ed8b48db","observation_id":"1f054d09-054d-4589-a7c2-ce2bd8f64d3f","resolution":{"observed_at":"2026-08-05T22:15:42.544419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.531717Z","title":null,"venue":null,"work_id":"ce3793b8-d64a-454e-a66a-8efffee7d59a","year":1996},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.871229Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:566dcb2c4b5541330bf04e5da2adb42deaed6e05a73f27cfe70b8d1adbf22278","observation_id":"ce9c671e-391c-4db9-bdde-c33873933222","resolution":{"observed_at":"2026-08-05T22:15:42.535445Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.521289Z","title":"Kabanets and J.-Y","venue":null,"work_id":"664606ed-f8a0-45f3-8a5e-b9330c1ac050","year":2000},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.874384Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:ecc64cdeb0145f9c196c8d0f7643f1988492add31ac588fe47648f65dd59bd5d","observation_id":"80099b1b-0044-455b-b3f2-f1127a88f689","resolution":{"observed_at":"2026-08-05T22:15:42.525488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.512279Z","title":null,"venue":null,"work_id":"36321199-43a7-43ec-9d58-3332ae89c78f","year":1982},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.877256Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:dfc9290eb2faf4f4e126a13ddc5ce48e1085c4d8b1649c60b2fcba97bdd88af7","observation_id":"905f3041-eb85-4e3e-95fb-884c45cd36c9","resolution":{"observed_at":"2026-08-05T22:15:42.515384Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.501943Z","title":"K¨ obler, U","venue":null,"work_id":"84a58942-3787-47c3-a846-c09de61ace7c","year":1989},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.880124Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:562308a62daf5c74ca2833b15bdc68d63e3daa4c85d0e78ea45c871b2375a065","observation_id":"ddb738e6-612f-43a4-9d69-f76d206c0ede","resolution":{"observed_at":"2026-08-05T22:15:42.505477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.492504Z","title":"The hardest explicit construction","venue":null,"work_id":"0577694e-d962-4114-8fc0-c1252c8a10c2","year":2022},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.882889Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:23294a74bbcf571979a703ecde717809647ed7292d2756a725f38fa7b765cdd4","observation_id":"da517da1-9ca8-479f-aca3-2a68218441e5","resolution":{"observed_at":"2026-08-05T22:15:42.495883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.483129Z","title":null,"venue":null,"work_id":"357eeb47-6d10-41b9-889b-ab99687b6379","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.885793Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:78ad4d68c88d16a2b99a3c488ccb9dc55dabd319cd8911882c939610eeb17511","observation_id":"97caa324-558f-4d1e-9be8-d7fa8f565015","resolution":{"observed_at":"2026-08-05T22:15:42.486695Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.463958Z","title":"Int´ egrale, longueur, aire","venue":null,"work_id":"38482d1d-5dfa-4590-9dfb-fdcf554f7053","year":1902},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.892485Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:6c1a85cad0cad2297f1413a6b12dff30987b3cc80dd827a4510e92f92be308b8","observation_id":"d246fba4-ad3d-4426-8229-5d28a5f6cb41","resolution":{"observed_at":"2026-08-05T22:15:42.467268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.453926Z","title":"�� ��� �������� ���������","venue":null,"work_id":"fd88cc50-69fc-4f1b-b8cc-10a9f687199d","year":1993},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.895406Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:51f195c42a57cd80bbe1745bdc3864b0ef9ee3cbfe866abf2fc04093d7b928c8","observation_id":"16800f5f-713f-431b-af5d-381dac84dc21","resolution":{"observed_at":"2026-08-05T22:15:42.457091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.443867Z","title":"Symmetric exponential time requires near-maximum circuit size: Simplified, truly uniform","venue":null,"work_id":"2a5be743-17a9-46d0-af3c-89cf9327c962","year":2024},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.898406Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:a5aab7622981c375623b9a96bf606b73fa12418bfb422cb614e81a8031d72106","observation_id":"5a0e1e12-9b89-4a17-9550-019b3d8f68db","resolution":{"observed_at":"2026-08-05T22:15:42.447835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.434030Z","title":null,"venue":null,"work_id":"4461eb05-0ae8-4d46-baff-8f288fc2f0b4","year":1958},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.901605Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:301eab1765cd8d9aa1fc5950bfd9ab25e790ed76322dd2a106c8dd774dc9564f","observation_id":"da2ad022-2b3b-4d84-924c-ab0d80df5454","resolution":{"observed_at":"2026-08-05T22:15:42.437840Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.424343Z","title":null,"venue":null,"work_id":"5c15673a-6696-47af-92f7-07ad793f643f","year":1987},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.904499Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:4a7a249105d393294a62a4153e5c2a8d1b20d8b7f993d5f895d72167878b1de0","observation_id":"3ff6709d-f0bd-4de6-8dc5-0a5c1254a206","resolution":{"observed_at":"2026-08-05T22:15:42.428080Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.414583Z","title":null,"venue":null,"work_id":"3b0db919-34e0-444a-92ff-9c1a0fef7912","year":1990},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.907624Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:386e047ee7724f8cc22e754d5eb0b79662ed01c45c4b77e783c230419fcf45dc","observation_id":"950b450d-459e-4859-8400-96b772bb4309","resolution":{"observed_at":"2026-08-05T22:15:42.418481Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.404784Z","title":null,"venue":null,"work_id":"25fa8de3-c751-4a89-a7bb-01d1173bfc75","year":1992},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.910835Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:fc4b80fdc523498f4aa77c9cf79b20e6d5b4e48d6f9c1b9208914fe128166546","observation_id":"90389797-f214-49c2-8d9d-f06fbc035c50","resolution":{"observed_at":"2026-08-05T22:15:42.407790Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.395121Z","title":null,"venue":null,"work_id":"4300656c-1a61-4e4d-adb9-0ba929025ca6","year":1997},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.913825Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:f94a7ac49f7025538979cfe9f4b0ee41c5371290f179436a96cc7114a6a30716","observation_id":"c6e00c1d-54ea-4e29-8001-37fe379028f6","resolution":{"observed_at":"2026-08-05T22:15:42.398342Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.384749Z","title":null,"venue":null,"work_id":"9c4b0b9a-e436-418c-aff8-5f7995d81f5a","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.917545Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:a41c19599b52d0562cf9e9a1dcf3ca356c07165acf04267d96e6503ced3464ae","observation_id":"f1ea95a7-8c1c-44c0-a559-79093d922dab","resolution":{"observed_at":"2026-08-05T22:15:42.388511Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.366190Z","title":null,"venue":null,"work_id":"160d7081-3e55-4280-9009-57200fcfce54","year":2005},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.923896Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:06d5cab1d2701baf6f61fd84e81e070b0b633c7b5470404b3bec0580dff75cc6","observation_id":"7ec9a793-1c42-493c-aac7-1d24475d3d9b","resolution":{"observed_at":"2026-08-05T22:15:42.369485Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.356817Z","title":null,"venue":null,"work_id":"3f03b619-2dd4-44cc-923a-a5d9ae4f748e","year":1994},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.926872Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:19b6df13b868ccd4e10c5d9e03e97e80fb12acbcf4ee6a12b375b5254dddd5a9","observation_id":"e0515aac-7189-485f-9896-af7885c26d3b","resolution":{"observed_at":"2026-08-05T22:15:42.360245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.347650Z","title":null,"venue":null,"work_id":"fdf910bb-f3c1-438a-be66-f26e5a2ef86e","year":1996},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.929800Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:e016eaccf4d69635645cede10c5f575e96b33e3e516d747540760e007a241286","observation_id":"bb082fa4-09a9-48d1-bff6-48ff99815bec","resolution":{"observed_at":"2026-08-05T22:15:42.350658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.338275Z","title":null,"venue":null,"work_id":"0db36772-41fb-4bf3-ad2c-f9b54453910d","year":1999},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.932997Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:81895624c4261def5539210741d7a333c52bd0fdfbcc5273df6efe44e592b684","observation_id":"62c1c6ed-391a-4467-bb9a-77986d630168","resolution":{"observed_at":"2026-08-05T22:15:42.341295Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.328696Z","title":null,"venue":null,"work_id":"fea744e4-b1fb-4c46-9be4-9a9c9198ff23","year":2000},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.935796Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:50c5176fea9b302912fb7cce52aa1c7387e5ad9c14c5b72e927923e288daf13e","observation_id":"3139ec89-f0ae-48f0-b989-21944f2c94d1","resolution":{"observed_at":"2026-08-05T22:15:42.331790Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.319404Z","title":null,"venue":null,"work_id":"ca0e32cb-ff19-4490-bba1-7f6a843562af","year":1982},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.938977Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:292e660046c6afb7c2eba5bef79815bbecae5e90b92f19b4ff0265d6533cfc6c","observation_id":"4283cc9e-2b6c-4bdb-b005-60738baf1bc3","resolution":{"observed_at":"2026-08-05T22:15:42.322331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.310224Z","title":"Mayordomo","venue":null,"work_id":"6377d297-4f92-42db-b8b7-1ab8041e7240","year":1994},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.942218Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:8253ecc94cde66d13b0006e83091b49f5e508d56920071892ebebafe88cc7327","observation_id":"87458f9f-1204-477e-8f9f-478fc1ba576d","resolution":{"observed_at":"2026-08-05T22:15:42.313391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.300672Z","title":"Mayordomo","venue":null,"work_id":"cd75cf0a-76fc-419c-9e6f-99c29a058547","year":1994},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.945426Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:4d3421466068ff659d3ee128702d5078c0e509f484531eba2de9e2d52b092332","observation_id":"a19141e5-a3f2-4832-8e0e-2e7c6f06fb62","resolution":{"observed_at":"2026-08-05T22:15:42.304268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.290866Z","title":"Mayordomo","venue":null,"work_id":"cf36696e-842a-4955-88b5-4cbfa75b5cc1","year":2004},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.948968Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:1df026f4db038119cb4df8d1663ea91288fa360f7a43b7b722b48beea3ea8356","observation_id":"46785a76-144e-4d0c-986b-603120e350df","resolution":{"observed_at":"2026-08-05T22:15:42.294141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.279812Z","title":"Mayordomo","venue":null,"work_id":"4eb3d636-eea2-461c-8dba-535feb583b69","year":2008},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.951913Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:fbbef33392c4c11c225d6e0cc9338762cca95bb32c602d23051c65779ccf7032","observation_id":"7e82f392-dc13-46a4-ada0-c528dc7ae355","resolution":{"observed_at":"2026-08-05T22:15:42.283889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.270447Z","title":null,"venue":null,"work_id":"3cb6d991-63a7-4e94-9f7b-ed1f7423a50d","year":1977},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.954819Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:132f80d327c1ce0176e2f2ede29141cd3cab05f3f3065f49f46b5db386a7cd8d","observation_id":"8cf8c342-d24e-4d23-baf4-5bf6eb777363","resolution":{"observed_at":"2026-08-05T22:15:42.273693Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.261020Z","title":null,"venue":null,"work_id":"f40c58e1-5af3-41f6-abc8-245c76af812b","year":1999},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.957640Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:03210c3b79617ff2ae6e47d692f643d93b4d8fcfe3be48cbda74b1f7dc242d08","observation_id":"c4f184bd-6be8-4953-8e8d-930528f0beb4","resolution":{"observed_at":"2026-08-05T22:15:42.264113Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.251982Z","title":"Murray and R","venue":null,"work_id":"b75d2d1b-d1de-453b-82e5-d621e9bd4493","year":2017},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.960523Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:fdbf956343c1f6f5846f76c7111b0c2a41507d35836fea023ebfe4f6009bc253","observation_id":"45bbda42-8578-411c-88af-7a1e480051c1","resolution":{"observed_at":"2026-08-05T22:15:42.254991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.02392","last_updated":"2025-02-09T12:02:32Z","snapshot_observed_at":"2026-08-04T06:04:53.196404Z","submitted_at":"2024-11-04T18:57:49Z","title":"One-Way Functions and Polynomial Time Dimension","version":3},"cited_work":{"arxiv_id":"2411.02392","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.02392","snapshot_observed_at":"2026-08-05T22:15:42.045640Z","title":"One-Way Functions and Polynomial Time Dimension","venue":"cs.CC","work_id":"eb04a73d-a290-4f9a-a5f7-eb30aa4afa29","year":2024},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.963697Z"},"links":{"cited_paper":"/paper/2411.02392","citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:46a2b66bdeb77a4a5ee93f956b108581b40ed094e7075c985ce0ee251f10fa56","observation_id":"369fee55-7427-4131-b1a9-a0b2af1dec6e","resolution":{"observed_at":"2026-08-05T22:15:42.052709Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.242365Z","title":"Ogiwara and O","venue":null,"work_id":"f7e99689-e6cc-4992-862b-7a24bc758430","year":1991},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.967535Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:ce3f323dfaa0ab34594a014b0074b5543c9b4a56bc0b353bf9a14e7ed7fd169f","observation_id":"a73cf1d5-91b9-4380-ad35-97b92421ee57","resolution":{"observed_at":"2026-08-05T22:15:42.246043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.232432Z","title":null,"venue":null,"work_id":"723ea2ee-1982-4f19-b0ce-e0978fb29077","year":1995},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.970397Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:6a852a52a72482b12b053c54e57eafaa7fb8aaa1c385c268c7f9009511fd34fb","observation_id":"b8ee1366-7b16-47ad-b427-61f23841994e","resolution":{"observed_at":"2026-08-05T22:15:42.235696Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.223101Z","title":null,"venue":null,"work_id":"596a6a7e-29fa-495e-96e7-5c24668ada46","year":1998},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.973691Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:f8ebe5d2900b1fb9d201fdb5230c7bae54eac8a50d73783528e20c2f98ea7488","observation_id":"243ea285-fc62-4e16-bc81-60e0cc6e0d2b","resolution":{"observed_at":"2026-08-05T22:15:42.226493Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.213368Z","title":"The power of counting","venue":null,"work_id":"6819bf9e-fbfd-4305-b96d-b64ece7abefe","year":1990},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.976755Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:370df78c9e38f2732d2671b2699b838b1786e80661b8b60e082c00fdb2a2da83","observation_id":"439b86f0-24cc-42c2-a1d2-e490fb466974","resolution":{"observed_at":"2026-08-05T22:15:42.216942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.204128Z","title":"Shaltiel and C","venue":null,"work_id":"2a7ad033-5c2a-4024-a102-d8b96a8fd738","year":2005},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.979558Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:bd3a9e1364a8e2e941e9bb15b2f13b7e3343c978146b55ac379bfb10f3d157ac","observation_id":"b25476e5-0a1d-44af-8af0-d1c8042cf1d8","resolution":{"observed_at":"2026-08-05T22:15:42.207427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.193628Z","title":null,"venue":null,"work_id":"c6b323fe-5bde-4b28-b129-58eb46de3002","year":1949},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.983273Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:a7d8c74884fce37227fc2a18f708a3ab1a7a7cef526b44117f68a1e727f90684","observation_id":"cea0d566-9fb6-4a6e-9df2-2054dc54e7a1","resolution":{"observed_at":"2026-08-05T22:15:42.197844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.183153Z","title":null,"venue":null,"work_id":"2f8657e4-1c72-440a-903a-45fab3374e8b","year":1993},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.986518Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:cc56be64ddce415ec2c1f0b96668e44f83a9631563bdb4a6f968e523f3c3dc81","observation_id":"d7dab56a-9d76-4ed8-9abf-966eb4751945","resolution":{"observed_at":"2026-08-05T22:15:42.187232Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.173277Z","title":null,"venue":null,"work_id":"77d3c9ac-06e8-4779-ac92-8be1e78802ad","year":1985},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.989602Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:770bce1f7c23c7c50924185a6b4df17ceb0d3a6c4e6ee42b9178122976f87819","observation_id":"1180b22b-3b5a-4969-adae-d9cd21f32edd","resolution":{"observed_at":"2026-08-05T22:15:42.177118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.164591Z","title":null,"venue":null,"work_id":"874dd438-a570-4c5f-ae71-98b7de87d996","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.992932Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:91edd83b9d94fc0af4422532ce97e3d317ea7344312e5a866f19d3d734d7696f","observation_id":"1a2ad158-0fa8-4df5-b49b-442fd506da80","resolution":{"observed_at":"2026-08-05T22:15:42.167597Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.146656Z","title":"PP is as hard as the polynomial-time hierarchy","venue":null,"work_id":"04a03f23-af36-41bc-9841-dbeb131bc51a","year":1991},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.998835Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:19ec7a7a1dec726d6973c64a732471011292cd103bd46ec16e0ea056e11e045a","observation_id":"2479d0a2-d49b-4aac-a026-cfe5d9de2372","resolution":{"observed_at":"2026-08-05T22:15:42.150044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.137114Z","title":null,"venue":null,"work_id":"68c59679-4ced-4c82-8a27-72d32ac8c38b","year":1982},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.002237Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:7b35353f19bbacd4dca23a2008e4bdfd0d073dfd0b544c5f113058690c35e2cf","observation_id":"0f4825ba-b5bf-402a-ab74-b04c5a2207b2","resolution":{"observed_at":"2026-08-05T22:15:42.140836Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.128299Z","title":"The complexity of computing the permanent","venue":null,"work_id":"3bda9c8f-d5aa-416c-beb8-21df7958e17a","year":1979},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.005143Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:1afc385faf04d55410635cbfb65d30f925ab3cca5bcd1833ea1cd3ba2fb39a6c","observation_id":"11185003-82ca-4e46-a420-5caff80d15bf","resolution":{"observed_at":"2026-08-05T22:15:42.131414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.118930Z","title":"van Melkebeek","venue":null,"work_id":"6939fa00-5764-4b54-b93b-56441b12e693","year":2000},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.008012Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:0f29dae273500b3a8bf10da4e655c00deae6fc20f702754da9dc9a651b8b6796","observation_id":"e395534e-b849-4a40-9fdb-c84c17de1032","resolution":{"observed_at":"2026-08-05T22:15:42.122223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.110031Z","title":null,"venue":null,"work_id":"dbebf70e-8737-4e3d-b0e0-140888dbd0a0","year":1939},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.010938Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:06e230e2e0970ee091cc2a0bf96e2db6a31a7e1fad46f2aa62409e37bdece229","observation_id":"0b4f92ff-04f0-4139-abe8-a6814bc98312","resolution":{"observed_at":"2026-08-05T22:15:42.113173Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.100285Z","title":"Watanabe","venue":null,"work_id":"10d25ef9-0cff-4a66-9105-2bacf79b79a1","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.013770Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:7965e86c3f11751253eda9f6d7520e76c48918b96d5a38d003bcdd7f2fbd5c2d","observation_id":"ba4a3217-d2ed-413f-b26b-60f66d70f3e7","resolution":{"observed_at":"2026-08-05T22:15:42.103867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.081287Z","title":null,"venue":null,"work_id":"40b2cbab-4609-4ac1-b8cf-69bab266acb0","year":1985},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.019298Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:49a06f5ee9c6b2dad8d29ccc8bb3bc55a5300221f18b2d82bbfc83c5dc715136","observation_id":"b8345149-b492-42dd-b657-b058d18e76ce","resolution":{"observed_at":"2026-08-05T22:15:42.085163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.473112Z","title":null,"venue":null,"work_id":"e5280b80-9240-4eac-9a6a-a8347546a7a1","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":1970,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.889035Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:a4170c0875155fdf89bec638051aabf1b7f7a0cc4f55af575625027f1cecb6fc","observation_id":"29d911a9-2cfa-4feb-91d1-e5221714b94b","resolution":{"observed_at":"2026-08-05T22:15:42.476932Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:41.767635Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":1974,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.767635Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:7c2082ad240e207aef09d837042751fae73958e6202f5df0c97cbac3cb1dbc16","observation_id":"8c95592e-4700-4d01-bc67-bf44d1c2469f","resolution":{"observed_at":"2026-08-05T22:15:41.767635Z","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":"2026-08-05T22:15:42.090869Z","title":null,"venue":null,"work_id":"0b789d2f-7a0a-4397-9c68-aaf46413cbb9","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":1987,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:42.016680Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:4f00c687d34a9c9448bf5db05031916b7ef721adb3895f10ba021bc8359a175a","observation_id":"ebe7c037-56a2-496b-81c8-84d751d03e65","resolution":{"observed_at":"2026-08-05T22:15:42.093836Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:41.729335Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":1988,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.729335Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:aa0c2fc24196315129e47616ba456476cbf69de6fc338ddb9047d6ae499513c1","observation_id":"6d862dfb-4866-49f4-af8c-57a2d7fd3d0f","resolution":{"observed_at":"2026-08-05T22:15:41.729335Z","resolver_source":null,"status":"parse_uncertain"},"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":"2026-08-05T22:15:42.375410Z","title":"3, 4, 5, 8, 9, 12, 13, 15, 34, 35, 38","venue":null,"work_id":"2f2dd64c-0adc-4900-b711-5554555b29d8","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":2003,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.920894Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:a67789d02b4f3f00fb60d6c7161f7762345e501f3f3ea6c2d370e08842961d4d","observation_id":"a3cd1cc3-1cba-439c-999a-425f4d44002c","resolution":{"observed_at":"2026-08-05T22:15:42.378724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.761066Z","title":null,"venue":null,"work_id":"60518c35-9b29-4c48-a73c-b37e80091947","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.789556Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:cae22348b7769237648270ad8a7b585bbde467c7903a79c690a29fb13af9b6bd","observation_id":"dd9f7073-889d-4fb1-8a1c-570faed622e9","resolution":{"observed_at":"2026-08-05T22:15:42.764645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.569338Z","title":null,"venue":null,"work_id":"8759287b-f995-400f-99c2-b553cce29ff2","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.857937Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:84e30c04e2158811b964977d25604ef2200492592aca0aa13d98c71d1e987c88","observation_id":"026f9592-5575-4df6-bcba-a297fec6b727","resolution":{"observed_at":"2026-08-05T22:15:42.572491Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T22:15:42.155640Z","title":null,"venue":null,"work_id":"b6d3f7a5-de03-45bb-9b8b-d6bd87e67763","year":null},"citing_paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-05T22:15:41.996133Z"},"links":{"citing_paper":"/paper/2508.07619"},"observation_digest":"sha256:8bacbfc18ebda9f6c603744dab5cf371fb03e89be6b76311b56c009052261b51","observation_id":"ef995ce0-cc58-45d6-af1b-941c1cd95e1c","resolution":{"observed_at":"2026-08-05T22:15:42.158896Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.07619","last_updated":"2025-08-11T05:00:36Z","latest_version":1,"primary_category":"cs.CC","snapshot_observed_at":"2026-08-05T22:15:35.901443Z","submitted_at":"2025-08-11T05:00:36Z","title":"Counting Martingales for Measure and Dimension in Complexity Classes"},"reference_resolution":{"displayed":95,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":62,"verified_exact":2,"verified_fuzzy":30},"total_outbound_references":95},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 0 inbound Pith citation observations for arXiv:2508.07619."}