{"as_of":"2026-08-11T16:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1b40dbb9356af2feaf07b3493daf320c3a4909ec044603f7360255fec7760902","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:16:09.430512Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:24:25.794793Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-10T01:10:09.520267Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.21155","snapshot_observed_at":"2026-08-07T04:24:25.794793Z","title":"Low coordinate degree algorithms II: Categorical signals and gen- eralized stochastic block models","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.10748","last_updated":"2025-06-12T14:35:26Z","snapshot_observed_at":"2026-08-07T21:46:25.184559Z","submitted_at":"2025-06-12T14:35:26Z","title":"Computational Complexity of Statistics: New Insights from Low-Degree Polynomials","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T04:24:25.794793Z"},"links":{"cited_paper":"/paper/2412.21155","citing_paper":"/paper/2506.10748"},"observation_digest":"sha256:44a034a4dc9e88dec9ae81afd45252727a296b2024d3673d19733e97a6326598","observation_id":"339288b1-f36d-4fa1-8c7f-929609163866","resolution":{"observed_at":"2026-08-07T04:24:25.794793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"cited_work":{"arxiv_id":"2412.21155","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.21155","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Low coordinate degree algorithms ii: Categorical signals and gener- alized stochastic block models.arXiv preprint arXiv:2412.21155","venue":null,"work_id":"3309e5b8-9292-4b95-b72f-53caceed571e","year":null},"citing_paper":{"arxiv_id":"2604.20907","last_updated":"2026-04-21T20:43:10Z","snapshot_observed_at":"2026-08-11T05:14:04.408751Z","submitted_at":"2026-04-21T20:43:10Z","title":"Achieving the Kesten-Stigum bound in the non-uniform hypergraph stochastic block model","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T01:05:00.847765Z"},"links":{"cited_paper":"/paper/2412.21155","citing_paper":"/paper/2604.20907"},"observation_digest":"sha256:143f4cdd1aae2a474fecbb8ebb35cab63b67f887944a7fb096851e945f0a85d2","observation_id":"ed425965-3265-4873-930e-51f79d732b35","resolution":{"observed_at":"2026-05-10T01:10:09.521639Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.21155/citation-record","integrity":"/paper/2412.21155/integrity","json":"/paper/2412.21155/citation-record.json","paper":"/paper/2412.21155"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:16:09.662233Z","title":"Non-backtracking spec- trum of random graphs: community detection and non-regular ramanujan graphs","venue":null,"work_id":"8c408290-eba7-4c0d-97fd-e892d10c411c","year":2015},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.373567Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:1e021ef110c68ec97f0fcbf86095560dd0dff45711d3da7a964dd19599d009e2","observation_id":"fd7ff43c-f15c-4812-be3b-2204b04d8f3b","resolution":{"observed_at":"2026-08-10T23:16:09.666720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.03424","last_updated":"2024-06-05T16:20:52Z","snapshot_observed_at":"2026-07-06T18:26:01.717861Z","submitted_at":"2024-06-05T16:20:52Z","title":"Computational lower bounds for multi-frequency group synchronization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.03424","snapshot_observed_at":"2026-08-10T23:16:09.390077Z","title":"Computational lower bounds for multi-frequency group synchronization","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.390077Z"},"links":{"cited_paper":"/paper/2406.03424","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:23f11e2d286e31f25c2fc05f88319b0e2517b9ffa0f4791edb3e415c4d36484b","observation_id":"52ede8c3-0b8b-4205-85a5-a950c9c71ce0","resolution":{"observed_at":"2026-08-10T23:16:09.390077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.07862","last_updated":"2024-03-12T17:52:35Z","snapshot_observed_at":"2026-08-09T16:09:24.217439Z","submitted_at":"2024-03-12T17:52:35Z","title":"Low coordinate degree algorithms I: Universality of computational thresholds for hypothesis testing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.07862","snapshot_observed_at":"2026-08-10T23:16:09.403002Z","title":"Low coordinate degree algorithms I: Universality of computational thresholds for hypothesis testing","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.403002Z"},"links":{"cited_paper":"/paper/2403.07862","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:b5af9ad4ceca91d28d8e83533baa244af2658c39b289371a160b4a55325f965e","observation_id":"3f5e7b79-f728-4df0-b0de-f12538d5b9d5","resolution":{"observed_at":"2026-08-10T23:16:09.403002Z","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":"2026-08-10T23:16:09.624191Z","title":"Is planted coloring easier than planted clique? In 36th Annual Conference on Learning Theory (COLT 2023)","venue":null,"work_id":"0dcba151-c905-41fd-ba89-3fadab58f0a5","year":2023},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.407226Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:d107bc75f5e0ea1ec536bfdfaa849d12690059da759113c7d8503126f19211d7","observation_id":"b8a37591-69ee-4b44-b29b-1ac95743047e","resolution":{"observed_at":"2026-08-10T23:16:09.628350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1609.05573","last_updated":"2016-12-23T08:11:18Z","snapshot_observed_at":"2026-07-06T05:11:17.429764Z","submitted_at":"2016-09-19T00:25:43Z","title":"Optimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.05573","snapshot_observed_at":"2026-08-10T23:16:09.418665Z","title":"Optimality and sub-optimality of PCA for spiked random matrices and syn chronization","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.418665Z"},"links":{"cited_paper":"/paper/1609.05573","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:345d434d06903155bd2ce4b54eebbbded59ed3b293077621df6a59db68e32261","observation_id":"1d74c012-1a0a-466a-b31e-d79485251b6f","resolution":{"observed_at":"2026-08-10T23:16:09.418665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.03858","last_updated":"2025-08-19T18:39:57Z","snapshot_observed_at":"2026-07-06T07:44:33.289298Z","submitted_at":"2019-04-08T06:26:35Z","title":"The Kikuchi Hierarchy and Tensor PCA","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.03858","snapshot_observed_at":"2026-08-10T23:16:09.426599Z","title":"The Kikuchi hierarchy and tensor PCA","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.426599Z"},"links":{"cited_paper":"/paper/1904.03858","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:d3412e57f9684705856bfed0cabe22e263f6a61dd95a9b26ecf7547b8f9101c5","observation_id":"899d58dc-a2ab-4507-b2f5-8ee2e7c740dc","resolution":{"observed_at":"2026-08-10T23:16:09.426599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.00467","last_updated":"2017-08-24T02:59:35Z","snapshot_observed_at":"2026-08-02T18:51:22.964626Z","submitted_at":"2017-02-01T21:54:41Z","title":"The Computer Science and Physics of Community Detection: Landscapes, Phase Transitions, and Hardness","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.00467","snapshot_observed_at":"2026-08-10T23:16:09.410818Z","title":"The computer science and physics of community detection: land- scapes, phase transitions, and hardness","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":1984,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.410818Z"},"links":{"cited_paper":"/paper/1702.00467","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:7c4fd1c056a4c68e4cd0469f4c2273e1c2b3ee3738b21975671e95ed22af4faf","observation_id":"23b28fde-a3a7-4804-939a-0b734f6952e4","resolution":{"observed_at":"2026-08-10T23:16:09.410818Z","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":"2026-08-10T23:16:09.649698Z","title":"The power of sum-of-squares for detecting hidden structures","venue":null,"work_id":"7bba8b3e-48e4-4fa0-a250-0a47b95e8467","year":2017},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":1986,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.381806Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:089dc95a5143611b6230d146f1dd9e8ffdb01f04049ef12792a67006b93af5cd","observation_id":"6096bf0e-f4c1-4836-92e8-3816969e8465","resolution":{"observed_at":"2026-08-10T23:16:09.653737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T23:16:09.612092Z","title":"Spectral de- tection in the censored block model","venue":null,"work_id":"89c5983f-548b-4a70-a36b-9d44f2797e0f","year":2015},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.422919Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:279cdb96ac62168bcfdf549147360495932a5b2f3119dd59978e9eadccaeeefb","observation_id":"83ed9a42-7f83-4749-802c-5a0469b26c60","resolution":{"observed_at":"2026-08-10T23:16:09.616561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T23:16:09.690927Z","title":"Spectral detection on sparse hypergraphs","venue":null,"work_id":"9e3bc157-5b7e-4aad-8cd6-05e8ecf73758","year":2015},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.355223Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:c632ebca043a0b46c28f74dbd3617411767c4518f5917e44b6c947a963fda844","observation_id":"d12e9506-ea60-437f-9da9-f0323c066b6b","resolution":{"observed_at":"2026-08-10T23:16:09.695558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06060","last_updated":"2026-05-27T15:30:35Z","snapshot_observed_at":"2026-07-06T19:12:53.753500Z","submitted_at":"2024-09-09T20:46:36Z","title":"Empirical Bernstein in smooth Banach spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.06060","snapshot_observed_at":"2026-08-10T23:16:09.414810Z","title":"Empiri cal Bernstein in smooth Ba- nach spaces","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.414810Z"},"links":{"cited_paper":"/paper/2409.06060","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:03956d844d8b1cf69e4adfd779a5c6f59ad145195849b5b4b505412aaecb0e0c","observation_id":"5c61a58d-46ce-4d60-a861-906dc7509b2c","resolution":{"observed_at":"2026-08-10T23:16:09.414810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.2910","last_updated":"2012-09-13T14:35:58Z","snapshot_observed_at":"2026-07-06T02:55:32.240144Z","submitted_at":"2012-09-13T14:35:58Z","title":"Community Detection in the Labelled Stochastic Block Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.2910","snapshot_observed_at":"2026-08-10T23:16:09.385594Z","title":"Community detection in the labelled stochastic block model","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.385594Z"},"links":{"cited_paper":"/paper/1209.2910","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:419d641d481059620c12f236914294993e1a11045cb6954f25d7e62873caa0eb","observation_id":"f3b906e5-c33b-4d7c-8e4c-2fd6392b59cf","resolution":{"observed_at":"2026-08-10T23:16:09.385594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.09727","last_updated":"2022-10-13T05:17:58Z","snapshot_observed_at":"2026-07-06T13:11:46.425668Z","submitted_at":"2022-05-19T17:39:29Z","title":"The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics","version":2},"cited_work":{"arxiv_id":"2205.09727","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.09727","snapshot_observed_at":"2026-08-10T23:16:09.599891Z","title":"The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics","venue":"math.ST","work_id":"b0ae4d22-d623-45f3-a9c5-954dcf64b4d1","year":2022},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.359928Z"},"links":{"cited_paper":"/paper/2205.09727","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:d37095a0b478f701ce00a176f915c1f050e26ba4b6c5b86ee0022d2466b59015","observation_id":"074ffbf2-d228-419f-992d-ab7a9c08de8d","resolution":{"observed_at":"2026-08-10T23:16:09.604199Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.09100","last_updated":"2025-05-01T02:02:16Z","snapshot_observed_at":"2026-08-04T19:19:26.995908Z","submitted_at":"2023-10-13T13:39:26Z","title":"Time-Uniform Self-Normalized Concentration for Vector-Valued Processes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.09100","snapshot_observed_at":"2026-08-10T23:16:09.430512Z","title":"Time-uniform self-normalized concentration for vector-valued process es","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.430512Z"},"links":{"cited_paper":"/paper/2310.09100","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:634fa8d17ac07d710f0832a72037e6e937fe4b97b8f07fcfbfab595476072616","observation_id":"59279606-7194-4ad1-8f6b-766585a86c4f","resolution":{"observed_at":"2026-08-10T23:16:09.430512Z","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":"2026-08-10T23:16:09.675788Z","title":"Spectral planting and the hardness of refuting cu ts, colorability, and communities in random graphs","venue":null,"work_id":"3ded7b19-10d0-46ad-8853-8261658ad882","year":2021},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.369515Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:c5b6d42969a7dbfdc259d635767544b59842e1f63004bc3ad99e160ca204904f","observation_id":"c9bf5537-0623-4508-89d5-43bdc91176c4","resolution":{"observed_at":"2026-08-10T23:16:09.680415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T23:16:09.636644Z","title":"Hypothesis testing with low-deg ree polynomials in the Morris class of exponential families","venue":null,"work_id":"0292456c-ac10-456f-a3c3-9987d31ba1aa","year":2021},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.398682Z"},"links":{"citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:3c54858ea3765aefadc338f6815935ddfd0bc3bb8696ad8bc0f8b6438fe3de1c","observation_id":"e85b3bc6-e939-47eb-8c3d-cc72e09ac56c","resolution":{"observed_at":"2026-08-10T23:16:09.640610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.06107","last_updated":"2021-06-26T17:06:23Z","snapshot_observed_at":"2026-08-10T06:23:52.121835Z","submitted_at":"2020-09-13T22:55:18Z","title":"Statistical Query Algorithms and Low-Degree Tests Are Almost Equivalent","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.06107","snapshot_observed_at":"2026-08-10T23:16:09.364731Z","title":"Statistical query algorithms and low-degree tests are almo st equivalent","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.364731Z"},"links":{"cited_paper":"/paper/2009.06107","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:cba4887bc28fee6a343d8a041fb27e0e29f3ab1015ae8aa18a2d933b1c0f9981","observation_id":"7cb72885-4171-459b-bf2c-ca9859d07a5d","resolution":{"observed_at":"2026-08-10T23:16:09.364731Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.06856","last_updated":"2024-06-11T15:01:44Z","snapshot_observed_at":"2026-07-06T17:28:18.945477Z","submitted_at":"2024-02-10T01:38:00Z","title":"Community detection in the hypergraph stochastic block model and reconstruction on hypertrees","version":2},"cited_work":{"arxiv_id":"2402.06856","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.06856","snapshot_observed_at":"2026-08-10T23:16:09.563732Z","title":"Community detection in the hypergraph stochastic block model and reconstruction on hypertrees","venue":"math.PR","work_id":"7ed502fa-e755-4628-b878-c5a64dc071e2","year":2024},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.377508Z"},"links":{"cited_paper":"/paper/2402.06856","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:754e6ab80503b7f99f25304c3d968f7c1b1dcb8fb0937631f3ea1a9d8d8f9d7c","observation_id":"bec624ea-1751-4793-b321-8e55456868de","resolution":{"observed_at":"2026-08-10T23:16:09.569597Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.06915","last_updated":"2022-10-25T04:14:03Z","snapshot_observed_at":"2026-08-02T11:41:34.042869Z","submitted_at":"2021-09-14T18:28:09Z","title":"Reconstruction on Trees and Low-Degree Polynomials","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.06915","snapshot_observed_at":"2026-08-10T23:16:09.394510Z","title":"Reconstructi on on trees and low-degree polynomials","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-10T23:16:09.394510Z"},"links":{"cited_paper":"/paper/2109.06915","citing_paper":"/paper/2412.21155"},"observation_digest":"sha256:6afbff78d436842264a364a90d89aca813c1e9220eb043ab8010e47a392fb356","observation_id":"1d6811f2-e641-4c4e-a701-911ff979557e","resolution":{"observed_at":"2026-08-10T23:16:09.394510Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.21155","last_updated":"2024-12-30T18:34:36Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-11T07:02:37.706795Z","submitted_at":"2024-12-30T18:34:36Z","title":"Low coordinate degree algorithms II: Categorical signals and generalized stochastic block models"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":2,"verified_fuzzy":7},"total_outbound_references":19},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2412.21155."}