{"as_of":"2026-08-19T05:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:810f651e703e6186d3f0c92c0ed8424adb595548a3fde5ea739061c71593f3ea","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:42:26.781380Z","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":"2026-05-10T03:14:08.342103Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-08-11T00:14:23.100381Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19677","last_updated":"2024-12-27T14:57:40Z","snapshot_observed_at":"2026-08-16T19:29:59.997953Z","submitted_at":"2024-12-27T14:57:40Z","title":"Deep ReLU networks -- injectivity capacity upper bounds","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T00:14:23.100381Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2412.19677"},"observation_digest":"sha256:d604e7a1748c83cff6cd95f3a2289a9a69f70d30310afcd54b13e330d8359881","observation_id":"ba80d0fb-e0b4-4136-8228-999f1b2be320","resolution":{"observed_at":"2026-08-11T00:14:23.100381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-08-15T18:39:35.756458Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.19272","last_updated":"2025-06-24T03:06:17Z","snapshot_observed_at":"2026-08-15T18:31:46.713446Z","submitted_at":"2025-06-24T03:06:17Z","title":"Fully lifted \\emph{blirp} interpolation -- a large deviation view","version":1},"reference_index":102,"source":"pdf_text","source_observed_at":"2026-08-15T18:39:35.756458Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2506.19272"},"observation_digest":"sha256:c9376765d43adfa3c13f0d89430f84b13642e702588028d90bfc3c7e3b267d7a","observation_id":"c6833643-070a-4972-a51b-50eea866007d","resolution":{"observed_at":"2026-08-15T18:39:35.756458Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-08-15T18:39:20.193626Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.19273","last_updated":"2025-06-24T03:08:14Z","snapshot_observed_at":"2026-08-15T18:31:45.528318Z","submitted_at":"2025-06-24T03:08:14Z","title":"A large deviation view of \\emph{stationarized} fully lifted blirp interpolation","version":1},"reference_index":103,"source":"pdf_text","source_observed_at":"2026-08-15T18:39:20.193626Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2506.19273"},"observation_digest":"sha256:623b81d599499b4887a01afd0afb07ca7744cb8274c80619627c3c0ad0c24bc4","observation_id":"fb84f039-5872-4167-bc66-51b95464de05","resolution":{"observed_at":"2026-08-15T18:39:20.193626Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-08-15T18:42:26.781380Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.19276","last_updated":"2025-06-24T03:12:39Z","snapshot_observed_at":"2026-08-16T00:45:44.954746Z","submitted_at":"2025-06-24T03:12:39Z","title":"Rare dense solutions clusters in asymmetric binary perceptrons -- local entropy via fully lifted RDT","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-15T18:42:26.781380Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2506.19276"},"observation_digest":"sha256:c082ae4600c25c3fc0b8a8c39eb16c9bc92993a1f859e14f4cf7fc93319706ad","observation_id":"7776237f-a38f-4d71-aa2a-ab96d58127c3","resolution":{"observed_at":"2026-08-15T18:42:26.781380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-08-06T18:10:19.841075Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.09247","last_updated":"2025-07-12T10:58:50Z","snapshot_observed_at":"2026-08-17T08:55:08.171955Z","submitted_at":"2025-07-12T10:58:50Z","title":"A CLuP algorithm to practically achieve $\\sim 0.76$ SK--model ground state free energy","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T18:10:19.841075Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2507.09247"},"observation_digest":"sha256:1f0c95ff1e5c911eb5fe89b598b240c5a367b1fdf842c2b5777a5f77874f2651","observation_id":"ff1d37b6-5f81-4153-ad2a-a60d4461e8cc","resolution":{"observed_at":"2026-08-06T18:10:19.841075Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-08-06T11:52:02.500953Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.22396","last_updated":"2025-07-30T05:30:46Z","snapshot_observed_at":"2026-08-17T02:41:05.701104Z","submitted_at":"2025-07-30T05:30:46Z","title":"CLuP practically achieves $\\sim 1.77$ positive and $\\sim 0.33$ negative Hopfield model ground state free energy","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.500953Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:329e174719c5faa3a1d622d9906ebf7f60874831467c2da8bfac59515e6f8490","observation_id":"ac3812f9-c191-48bb-b969-db9c8328b8ef","resolution":{"observed_at":"2026-08-06T11:52:02.500953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation","version":1},"cited_work":{"arxiv_id":"2311.18097","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2311.18097","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f78e1de6-2528-4be7-9601-39bbbb224f9c","year":2023},"citing_paper":{"arxiv_id":"2604.19712","last_updated":"2026-04-21T17:36:33Z","snapshot_observed_at":"2026-07-06T23:06:16.972438Z","submitted_at":"2026-04-21T17:36:33Z","title":"Ultrametric OGP - parametric RDT \\emph{symmetric} binary perceptron connection","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-05-10T03:09:42.968897Z"},"links":{"cited_paper":"/paper/2311.18097","citing_paper":"/paper/2604.19712"},"observation_digest":"sha256:8bc90222a7ca549a228b8c7fd12b1d629c25dfdf73fb0b7d74035877c757089e","observation_id":"97f63765-d01c-4ff4-9fa4-14d8ec4f079d","resolution":{"observed_at":"2026-05-10T03:14:08.343285Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2311.18097/citation-record","integrity":"/paper/2311.18097/integrity","json":"/paper/2311.18097/citation-record.json","paper":"/paper/2311.18097"},"outbound":[],"paper":{"arxiv_id":"2311.18097","last_updated":"2023-11-29T21:28:08Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T14:39:03.759909Z","submitted_at":"2023-11-29T21:28:08Z","title":"Bilinearly indexed random processes -- \\emph{stationarization} of fully lifted interpolation"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2311.18097."}