{"as_of":"2026-08-15T04:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:68cf0a76fae1ea00793c1b1f3dc923a2fa5d0571a3237e8b928122114a6be8ca","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:49:45.076515Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.06256/citation-record","integrity":"/paper/2608.06256/integrity","json":"/paper/2608.06256/citation-record.json","paper":"/paper/2608.06256"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:49:43.934856Z","title":"Proceedings of the 58th Annual ACM Symposium on Theory of Computing (STOC 2026) , pages =","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:43.934856Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:1e775046fc592424ebc5bd8e49a05f0c37eca16e3c04232ea8f1eb728cfa068d","observation_id":"a4501e67-62ef-470f-bb09-25100b8b4081","resolution":{"observed_at":"2026-08-07T11:49:43.934856Z","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":"2026-08-07T11:49:46.826026Z","title":"Proceedings of the Twenty-Fourth Annual ACM Symposium on Theory of Computing , pages =","venue":null,"work_id":"c80a8f20-5dc8-43b7-ac45-1d44138e4ec0","year":1992},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.010629Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:dd70dae0d27dac4be067796288e994f3a0a287605dda0054e07da57dcbe24cfb","observation_id":"b58ca6ed-ab1e-42c0-b821-62d5efc74921","resolution":{"observed_at":"2026-08-07T11:49:46.874271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:49:46.634600Z","title":"Computational Complexity , volume =","venue":null,"work_id":"94268238-98de-46e4-9be3-b7490662bcc3","year":1994},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.104911Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:1e60dbaf75a29d76c9c45a5a3ce62b15e8bfc0259c49e6d9b24b07b4c43403da","observation_id":"44e1a265-8f9e-4687-acc9-6e70b226f865","resolution":{"observed_at":"2026-08-07T11:49:46.725544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:49:46.432454Z","title":", title =","venue":null,"work_id":"f276ae46-25cf-4008-b153-3abbbc1c623c","year":2009},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.229443Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:b0344d749df79bf76e0aecbf8dff0b667b469310eb0ff411abae72f959647505","observation_id":"48900aff-ccc2-4649-8699-0377fddb9c20","resolution":{"observed_at":"2026-08-07T11:49:46.507158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:49:46.206668Z","title":"Approximation, Randomization, and Combinatorial Optimization: Algorithms and Techniques (APPROX/RANDOM 2012) , series =","venue":null,"work_id":"10f0af35-86eb-407e-90f7-78b2ef9090b9","year":2012},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.333737Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:17224361337e43261e477906e5c9501fb4d2b6bfc2aca55fec24a4077c4994f0","observation_id":"6829f6ec-8706-4c43-8950-abc7e7025e6b","resolution":{"observed_at":"2026-08-07T11:49:46.324096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1704.03176","last_updated":"2017-04-11T07:37:28Z","snapshot_observed_at":"2026-08-14T21:07:19.631531Z","submitted_at":"2017-04-11T07:37:28Z","title":"On the Spectral Properties of Symmetric Functions","version":1},"cited_work":{"arxiv_id":"1704.03176","doi":"10.48550/arxiv.1704.03176","metadata_source":"pith","pith_arxiv_id":"1704.03176","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On the Spectral Properties of Symmetric Functions","venue":"cs.CC","work_id":"09dc543c-2744-42c7-95a4-73d17c52ba33","year":2017},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.420316Z"},"links":{"cited_paper":"/paper/1704.03176","citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:d1980256e0deca411f4feb079069803c483af25e460439ab52b96b7f09dd73a2","observation_id":"687d6832-9b2c-4d62-ad33-c72e1d029d9a","resolution":{"observed_at":"2026-08-07T11:49:45.291033Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T02:38:12.901987+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-15T02:38:12.901987+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-15T02:38:12.901987+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:49:46.036000Z","title":", title =","venue":null,"work_id":"301e9caf-f3a5-4fce-b494-65c3eb9f5bd7","year":2017},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.535014Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:5c3386183d9f981f963517bef7932af638d4e78c53be20a613d20d01932abd2f","observation_id":"46915e17-995e-448e-a4ef-194e483f4336","resolution":{"observed_at":"2026-08-07T11:49:46.092717Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:49:45.805197Z","title":"Journal of the ACM , volume =","venue":null,"work_id":"1958854b-f03e-4a19-a4ea-e26c3c48345c","year":1995},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.663780Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:31ad8d242f4b74b1f97c3285fb7725ca30a379220e75519231beedc3dfee9d88","observation_id":"860a3038-df7b-4060-971a-141355fc8e9a","resolution":{"observed_at":"2026-08-07T11:49:45.890721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9802049","last_updated":"1998-09-30T08:07:23Z","snapshot_observed_at":"2026-07-07T07:27:33.351874Z","submitted_at":"1998-02-18T17:41:12Z","title":"Quantum Lower Bounds by Polynomials","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9802049","snapshot_observed_at":"2026-08-07T11:49:44.756994Z","title":"Journal of the ACM , volume =","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.756994Z"},"links":{"cited_paper":"/paper/quant-ph/9802049","citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:86c0c85656f00648ab6686e3f3bfa624cc4b612a056f08e97c193e32a7e5d38b","observation_id":"b4f731b3-1bc8-496b-bbe2-92ee273a5dd4","resolution":{"observed_at":"2026-08-07T11:49:44.756994Z","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":"2026-08-07T11:49:44.858389Z","title":"and Lorentz, George G","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.858389Z"},"links":{"citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:ed77d89b76572cd8c7e27ec03cdb80b86b9ce87f7ae45793d00f50dc6c93afa4","observation_id":"8370ac11-0257-4f33-9835-5285983fc086","resolution":{"observed_at":"2026-08-07T11:49:44.858389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1302.6191","last_updated":"2014-03-22T01:13:38Z","snapshot_observed_at":"2026-08-15T00:27:33.194196Z","submitted_at":"2013-02-25T18:53:47Z","title":"Dual Lower Bounds for Approximate Degree and Markov-Bernstein Inequalities","version":3},"cited_work":{"arxiv_id":"1302.6191","doi":null,"metadata_source":"pith","pith_arxiv_id":"1302.6191","snapshot_observed_at":"2026-08-07T11:49:45.420073Z","title":"Dual Lower Bounds for Approximate Degree and Markov-Bernstein Inequalities","venue":"cs.CC","work_id":"9bc3e717-8687-40a7-a71d-9757e8574054","year":2013},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:44.983870Z"},"links":{"cited_paper":"/paper/1302.6191","citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:490bcc86f4d1227f12d125bf81a96cb6cdb85200d09f9757d97ca5d389a8086e","observation_id":"0488e406-a92a-4f1b-ba85-eb32f30b392d","resolution":{"observed_at":"2026-08-07T11:49:45.522393Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0005055","last_updated":"2000-05-15T18:19:59Z","snapshot_observed_at":"2026-07-07T07:03:25.387553Z","submitted_at":"2000-05-15T18:19:59Z","title":"Quantum Amplitude Amplification and Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0005055","snapshot_observed_at":"2026-08-07T11:49:45.076515Z","title":"Quantum Amplitude Amplification and Estimation , booktitle =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T11:49:45.076515Z"},"links":{"cited_paper":"/paper/quant-ph/0005055","citing_paper":"/paper/2608.06256"},"observation_digest":"sha256:9c4e931790fd56ab3689fb94c84dd5113e03a145916bbb73036557b42aaae434","observation_id":"5d89e3c8-2876-4df8-8bbe-29c428d34122","resolution":{"observed_at":"2026-08-07T11:49:45.076515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.06256","last_updated":"2026-08-06T16:45:20Z","latest_version":1,"primary_category":"cs.CC","snapshot_observed_at":"2026-08-14T21:20:27.918363Z","submitted_at":"2026-08-06T16:45:20Z","title":"A Paturi Theorem for Signed Subcube Representations"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":6},"total_outbound_references":12},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.06256."}