{"as_of":"2026-08-19T09:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2792857cddee6292d3aea9e1a9c71e595e45c7095ec48e6b3b8356474ee54206","coverage":[{"denominator":92,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":92,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:52:02.564017Z","state":"measured"},{"denominator":93,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":93,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T03:09:42.968897Z","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":"2026-05-11T12:41:05.062730Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.22396","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22396","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1a88baeb-6fed-4fe2-8cb3-7397c0c9acdc","year":2025},"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":98,"source":"pdf_text","source_observed_at":"2026-05-10T03:09:42.968897Z"},"links":{"cited_paper":"/paper/2507.22396","citing_paper":"/paper/2604.19712"},"observation_digest":"sha256:19e048b1922f8483d410a56f44f3f2e7462ab628b8c859078a7f6fb4f961abca","observation_id":"6ba67d12-6c67-4293-a27c-5a5e303ac368","resolution":{"observed_at":"2026-05-11T12:41:05.064812Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.22396/citation-record","integrity":"/paper/2507.22396/integrity","json":"/paper/2507.22396/citation-record.json","paper":"/paper/2507.22396"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:52:02.245118Z","title":"Achlioptas, A","venue":null,"work_id":null,"year":2011},"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":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.245118Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:b54ba1e88b63b7a20930eadf08035c24cde4e09a40c06e72ef193166350a63ad","observation_id":"963d8895-cbd3-4ad4-a366-8735cd00a999","resolution":{"observed_at":"2026-08-06T11:52:02.245118Z","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":"2026-08-06T11:52:02.248813Z","title":"Addario-Berry and P","venue":null,"work_id":null,"year":2019},"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":2,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.248813Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:e2c767df3685fd7fb1a43642718d6c6832168365e491fb612a295e2acb779c09","observation_id":"92967cf6-8d5d-4fad-b506-0bfdf9b318dc","resolution":{"observed_at":"2026-08-06T11:52:02.248813Z","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":"2026-08-06T11:52:02.252694Z","title":null,"venue":null,"work_id":null,"year":2022},"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":3,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.252694Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:b4790eb07d9938fb1eba320b62f5d5bb7e00adb669c665a709b1feeee7b9cd4d","observation_id":"274e59f6-f213-4431-b620-5cdd70b764e1","resolution":{"observed_at":"2026-08-06T11:52:02.252694Z","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":"2026-08-06T11:52:02.256203Z","title":null,"venue":null,"work_id":null,"year":2025},"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":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.256203Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:d60d3296e34cbc0f9e1523f7d3c1bfad60437367b431b4f0ac5aefba6f829f3c","observation_id":"2935ea1e-ddc0-40bc-8f73-35bf38c70051","resolution":{"observed_at":"2026-08-06T11:52:02.256203Z","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":"2026-08-06T11:52:02.259793Z","title":null,"venue":null,"work_id":null,"year":1987},"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":5,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.259793Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:bcf51b77ba8121a3f9a1d70cb544be7ffed2ebdedc319113aefb726b90d8afec","observation_id":"fb34b022-2562-4b92-9fe6-7af94097ffc4","resolution":{"observed_at":"2026-08-06T11:52:02.259793Z","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":"2026-08-06T11:52:02.263325Z","title":null,"venue":null,"work_id":null,"year":1987},"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":6,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.263325Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:5a553d3fbdbde7a7db8e70532d498862986f11d9daf09d2fe066a3dd8a34fb7c","observation_id":"5ade4bfe-85a7-465b-8ce6-15d8c0409d0a","resolution":{"observed_at":"2026-08-06T11:52:02.263325Z","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":"2026-08-06T11:52:02.267153Z","title":"Arora, E","venue":null,"work_id":null,"year":2005},"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":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.267153Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:2e33a48854f827c382654e19e9082dd9326b3dfe49747f1916896cf8a43a0929","observation_id":"eb9e7095-9810-411d-b3cf-a1cec7769b15","resolution":{"observed_at":"2026-08-06T11:52:02.267153Z","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":"2026-08-06T11:52:02.270478Z","title":"Auﬃnger and W.-K","venue":null,"work_id":null,"year":2015},"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":8,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.270478Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:e90176c5a83ee036b0e84ce58eb92f0f23e26e10d17fb480fa3bbd7f17d3342e","observation_id":"10399750-a4f9-4385-9039-29100f6fe581","resolution":{"observed_at":"2026-08-06T11:52:02.270478Z","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":"2026-08-06T11:52:02.274280Z","title":"Auﬃnger, W.-K","venue":null,"work_id":null,"year":2020},"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":9,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.274280Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:bb08d29d05c557a590cbeb9efa807045ca9cc5d5c9c358b3714c41667f0e9ec4","observation_id":"b63a90c6-05e6-443a-af44-f45e9c54d6b1","resolution":{"observed_at":"2026-08-06T11:52:02.274280Z","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":"2026-08-06T11:52:02.277702Z","title":"Baldassi, A","venue":null,"work_id":null,"year":2015},"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":10,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.277702Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7a20d48eed4b2817e1abb5c9932a0ceb7d0fadf79e05e8fb391a85fc8324e7d0","observation_id":"ff8b8062-3ea3-4749-865a-2debac126f16","resolution":{"observed_at":"2026-08-06T11:52:02.277702Z","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":"2026-08-06T11:52:02.281189Z","title":"Baldassi, A","venue":null,"work_id":null,"year":2016},"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":11,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.281189Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:532a0e074b39843fd975a17b3eed659aa4e6f60354795779a8200cc7b62ccaff","observation_id":"4d3723ef-90a6-45b0-a242-4dfdbf2c37c4","resolution":{"observed_at":"2026-08-06T11:52:02.281189Z","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":"2026-08-06T11:52:02.284700Z","title":"Baldassi, R","venue":null,"work_id":null,"year":2020},"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":12,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.284700Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:bf841b20f6a076489c477f630680572ac3155c615a823f13931bd802b37c0c86","observation_id":"3174fd97-2dab-4abb-a173-5a4f241de9fc","resolution":{"observed_at":"2026-08-06T11:52:02.284700Z","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":"2026-08-06T11:52:03.434762Z","title":"Barra, G","venue":null,"work_id":"3fad355a-bb46-4be5-8a83-9c1b7ff301b2","year":2010},"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":13,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.288227Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:f3df7f022633bf584fa65890530a1f364aa1e1790a772d7fccacdb34d0e45d93","observation_id":"1e6f1e2e-535b-4228-9bdc-d174bf4c92ff","resolution":{"observed_at":"2026-08-06T11:52:03.438272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.424666Z","title":"Barra, G","venue":null,"work_id":"ebe02fdc-9f9e-4ea9-b348-4d60cbc4976d","year":2011},"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":14,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.291642Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:fd46c93e08321cff81ca50df31d57f96bdf80f0c88e5ac03701b107dbb1b2b43","observation_id":"339e7ca5-1ecf-4e03-ba36-d432ca73fac3","resolution":{"observed_at":"2026-08-06T11:52:03.428362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.414160Z","title":"Barra, G","venue":null,"work_id":"bd1691f3-6689-4c00-bfe6-f874951d6fc0","year":2012},"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":15,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.294812Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:c9c858cbd85f4447a6699cce0106a2d1d243a51d97ee685ebcb74c884c7f7327","observation_id":"65666b97-5f63-4016-bc21-f4e80a03879f","resolution":{"observed_at":"2026-08-06T11:52:03.418290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.403867Z","title":"Bayati and A","venue":null,"work_id":"62daf11c-b177-4d79-a8fa-154c484acf58","year":2011},"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":16,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.297953Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:c69e15f391c08ad6df0d5d21072749f74f2e6a9b4171bfe6e8b4672a3c8cb518","observation_id":"67315b80-743b-4f6e-a7e3-e164d9aa7098","resolution":{"observed_at":"2026-08-06T11:52:03.407912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.393386Z","title":"Bayati and A","venue":null,"work_id":"4643e637-584c-42dd-a539-e03fc79425a0","year":1997},"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":17,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.301074Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:1462e5decd0d16167a047615569b932815a6453264ec04fcfe9e8a34d5d1d448","observation_id":"2722f564-5d18-4688-afca-6e2f85a3c3c5","resolution":{"observed_at":"2026-08-06T11:52:03.396967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.383029Z","title":"Bovier and V","venue":null,"work_id":"d12f782d-0997-408b-b171-b7c51c3a9d56","year":1998},"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":18,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.304539Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:4ec6524025429dbedf0c92bcfaab538560389b24e98d4875baa545e7d1946e7a","observation_id":"ce98378b-28e1-434d-8696-393b216d83fb","resolution":{"observed_at":"2026-08-06T11:52:03.386608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.373164Z","title":"Charikar and A","venue":null,"work_id":"6ff908c2-d1de-4932-be37-edbeb7bc0192","year":2004},"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":19,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.308024Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:1d30e93a6f30d2a077751746a2453fb19919a6b787aa878b5363691fba95548e","observation_id":"fffddb63-cd82-4cff-ad8c-44d94d4b4653","resolution":{"observed_at":"2026-08-06T11:52:03.376832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.361834Z","title":"Crisamti, D","venue":null,"work_id":"0d97e0f4-aa3a-48b2-a2d4-cc55822783ba","year":1986},"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":20,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.311347Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:f3f4dd9fbd84b666748951b460ac8142144a6528926999f0f683da061d34e7fd","observation_id":"06e96cde-9106-4da7-95c1-40d7f2200949","resolution":{"observed_at":"2026-08-06T11:52:03.365262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.351701Z","title":"Crisanti and T","venue":null,"work_id":"b785e5cb-a506-461c-8b8e-068c57dce06c","year":2002},"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":21,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.314629Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:272b64386487202d5f428266c0cdb5a8a71887a5ad8c4587977b8fafa94bdf88","observation_id":"64aeb6fe-f893-487d-b979-15a83bf75554","resolution":{"observed_at":"2026-08-06T11:52:03.355252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.342060Z","title":"Daude, M","venue":null,"work_id":"f5e8d058-1cb2-41e2-b24c-a17f3f5c3527","year":2008},"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":22,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.318254Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:ed7c8e02c2ce5cf29f67ef903c4645229d1698106222e5b47d886faf8e05a80c","observation_id":"db574615-e9f8-4b9e-b9d1-b865c989e269","resolution":{"observed_at":"2026-08-06T11:52:03.345708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.332360Z","title":"Dean and F","venue":null,"work_id":"fe6eaeee-30b9-4bd9-914b-74f3c6e20c63","year":2002},"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":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.321410Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7581ead5fd7d321575c614d273db0bfa58b9b49bfe23b8a47c837a170f4a4837","observation_id":"b6c0ca9e-0cd8-432b-8355-510f776fdcc3","resolution":{"observed_at":"2026-08-06T11:52:03.335475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.322413Z","title":"Donoho, A","venue":null,"work_id":"785eb603-9d21-44fd-ad6c-b223d6a6eba7","year":2009},"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":24,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.324611Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0a5e63258e7375ac06006146ae2957f25950e058c4d67146b2b70eec1b5f2449","observation_id":"8403428a-7739-4b8c-b6a6-2ec1320fda17","resolution":{"observed_at":"2026-08-06T11:52:03.325613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.312723Z","title":null,"venue":null,"work_id":"fd3bd292-039a-4971-aa73-f21d9a7576c7","year":2011},"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":25,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.327847Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:bf91a6028e2d3c190ad7607e756decea2aa609f32357c1af4bde6802d74d29e0","observation_id":"82192e27-e7ac-4d1e-ac3b-21d87613a09e","resolution":{"observed_at":"2026-08-06T11:52:03.316186Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.303328Z","title":null,"venue":null,"work_id":"57f58593-94e4-45bc-b0f5-27a01e7b065e","year":1975},"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":26,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.331825Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:5a1255974284e8d8ae777b2576721213f908e085823ef48edcc1d1d8f6ad8da5","observation_id":"13817ee7-16a8-4cfe-b6b9-54794510b5cd","resolution":{"observed_at":"2026-08-06T11:52:03.306540Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.292731Z","title":null,"venue":null,"work_id":"d3fa9f35-ee3e-4991-a3fd-1c275655d258","year":2000},"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":27,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.335843Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0150dcdff1c840b37e692c3c9974ea328482ed729b53bd00c0df6c03ad7bf621","observation_id":"1e3ff0ba-2846-4972-aaee-2bac5f5b763e","resolution":{"observed_at":"2026-08-06T11:52:03.295955Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.281766Z","title":"Gamarnik","venue":null,"work_id":"869c7f06-676c-45b8-9c69-ca453d82b823","year":2021},"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":28,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.339139Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:168ecc1e35a3c2f544a00b93db89dde5cc9d1e9b0411319de2fedd2cc7f159dc","observation_id":"5c0ff3c8-70ae-4000-9eff-0087ad5fec2e","resolution":{"observed_at":"2026-08-06T11:52:03.285214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.271535Z","title":"Gamarnik and M","venue":null,"work_id":"ccc41cdd-ba31-41a0-9eed-ab6e12b6a711","year":2014},"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":29,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.342344Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7e83a9608f1e679c2136e491ff00d8ba7874212a4b7fdca4589fd27ce99c28ef","observation_id":"4a80043a-d474-4691-88dd-4b593b634385","resolution":{"observed_at":"2026-08-06T11:52:03.275368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.262291Z","title":"Gamarnik and M","venue":null,"work_id":"c79fac73-4126-4317-a1d1-621d3a161a6d","year":2017},"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":30,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.345740Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:ebe641425a022b23188d9ec844d8baa51cbe504c172adb9e6b0f2bf35312f495","observation_id":"a649d1d1-2706-451c-9472-86c54e9060a8","resolution":{"observed_at":"2026-08-06T11:52:03.265476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.252949Z","title":"Gamarnik and M","venue":null,"work_id":"1b3cac56-269f-4dd8-9b01-106bbdd2a0dd","year":2017},"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":31,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.348912Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:d1e062fd9041edaf17b9297da4976941252cc20db864af36789ea2e7ec788f2c","observation_id":"ce513c98-1d43-4d86-b334-d019300d8399","resolution":{"observed_at":"2026-08-06T11:52:03.256124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.243477Z","title":null,"venue":null,"work_id":"9dc941e7-a709-4be6-94d9-9c948996f90b","year":2003},"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":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.352810Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:a014301c45871079b203b5173d913d2fa2ee95abe5f7af944bd5eaf8351b9a6c","observation_id":"ce572f68-874a-4f34-8239-669642f3afd0","resolution":{"observed_at":"2026-08-06T11:52:03.246715Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.233274Z","title":null,"venue":null,"work_id":"ff2fef07-6b7a-4392-ae86-1fafd31fce67","year":1949},"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":33,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.356014Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:82aa73a6587c06738759477915afb4abe62bef1f09fcd30bd519a5923c09bb0d","observation_id":"f8613831-7a58-4fec-93ed-4333ecf6188b","resolution":{"observed_at":"2026-08-06T11:52:03.236932Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.223749Z","title":null,"venue":null,"work_id":"21bb0790-79d3-43b1-b6fd-8ec971ea2a56","year":1982},"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":34,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.359283Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:49ae554f948ec903c664c9394d87a8b530b659cc9f008d70fe20118a78a27802","observation_id":"0e6b2793-a349-4e45-814f-ba1adec18176","resolution":{"observed_at":"2026-08-06T11:52:03.226908Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.212915Z","title":"Huang and M","venue":null,"work_id":"b1ed21d2-5b72-4813-ba60-ddd2fec1bd02","year":2022},"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":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.362774Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:be690ec76c5dbee072f0dd388aca58177b71e5c8a90df09fbb738192e7dfba63","observation_id":"a5afb65b-5171-45b3-8b99-d6573c01e1f9","resolution":{"observed_at":"2026-08-06T11:52:03.216548Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.202083Z","title":"Jagannath and I","venue":null,"work_id":"44c0f18f-208d-4aa3-a382-097e535e8c74","year":null},"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":36,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.366086Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:61f5e2447b61ab0bfe6501910a811a981bd54e458b995d436b93940235fe209a","observation_id":"1c7c7036-2724-417c-9af6-e703a2edc688","resolution":{"observed_at":"2026-08-06T11:52:03.205691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.192640Z","title":"Kabashima","venue":null,"work_id":"8c96a9a6-a216-4f25-b0d6-8557c70cfc2c","year":null},"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":37,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.369583Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:222e9aa86b5cee392805ff1d89ce0fddad68c9329ff8e45ce915c291ac4e223f","observation_id":"26039b4c-3d54-4fc9-a217-569f6408a19c","resolution":{"observed_at":"2026-08-06T11:52:03.195930Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.183363Z","title":"Kirkpatrick and D","venue":null,"work_id":"50615ea5-faa2-4182-a18f-98ab9491176c","year":1978},"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":38,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.373128Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:a569156d07690f51240148286a312a4cd10236a96911a76efb72dab481a8d485","observation_id":"8d6f6c5e-dbb8-4638-b7da-371b3319b118","resolution":{"observed_at":"2026-08-06T11:52:03.186758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.174070Z","title":"Krotov and J","venue":null,"work_id":"376de78b-e016-4035-ada2-99a4e9c390ce","year":2016},"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":39,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.376624Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:f3882ee44497cc38d21576828673991c74741181871f7897c3b473e51600a6dc","observation_id":"a0db9547-c4e4-47e2-a476-de9253a95e0a","resolution":{"observed_at":"2026-08-06T11:52:03.177313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.162384Z","title":"Loukianova","venue":null,"work_id":"a374698f-49fb-4554-9906-bfea5e4271d0","year":1994},"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":40,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.379997Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:8135eb27c0010896bf1626c697c1e378e3c193591b0985f22e6e6fa9fed01bb2","observation_id":"198553de-8886-4246-b62a-449fa863a130","resolution":{"observed_at":"2026-08-06T11:52:03.166973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.151952Z","title":"Loukianova","venue":null,"work_id":"048da07a-d420-459e-8b25-38fded906c18","year":1994},"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":41,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.383217Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:58a6c0e9dff5e7d58f441041d8b6142da4f866539fab826cd84ccd40aae45d15","observation_id":"0eb571bc-eff5-4e12-81c0-c5309bfa9d04","resolution":{"observed_at":"2026-08-06T11:52:03.155666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.141707Z","title":"Loukianova","venue":null,"work_id":"b158ec90-72d3-4945-aeff-a92c5e28edfe","year":1997},"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":42,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.386330Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0f6e8b1ea36d0296067ac85c1107ea729afe7cd78f03d5fa28d80c186f85bace","observation_id":"62f32def-7236-46bd-804d-70b6ff51d893","resolution":{"observed_at":"2026-08-06T11:52:03.145284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.131510Z","title":null,"venue":null,"work_id":"753ed4e2-9ad8-43a4-8d60-b02ac38d6487","year":1987},"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":43,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.390192Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:246c025a4dcc2e0d55a83181a00cf7220122c20b2fc99c6b0ad5840292ae292f","observation_id":"027a3b10-b57d-46e1-92ae-e4cc591728f7","resolution":{"observed_at":"2026-08-06T11:52:03.135413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.120844Z","title":"Megretski","venue":null,"work_id":"256836fd-242d-449e-a538-e7f87657e5f7","year":2000},"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":44,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.393458Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:6fe9f0a8cc6072f1137c11d6e5f4f3cb0474a5c2c646a8d33faaca50c8b0b913","observation_id":"ea0d6605-0032-470a-b0e9-7fdd4d594b89","resolution":{"observed_at":"2026-08-06T11:52:03.124529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.110328Z","title":"Mezard, T","venue":null,"work_id":"0f3244d7-e4f1-4038-ade6-b45029a8fbc6","year":2005},"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":45,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.397439Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:27ba1655588afd2d744381e063c96fc0b7b31a3f6596e8a44139a10aee7a2dd6","observation_id":"aa939faf-7a40-4540-ab58-8212f66cae66","resolution":{"observed_at":"2026-08-06T11:52:03.113929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.099412Z","title":"Montanari","venue":null,"work_id":"b2e76d34-a528-40c8-b845-b212091f1179","year":2019},"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":46,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.401010Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7c8f21e29f027452ac453ab7e220844137031d76781e1fc832a999eb34b70671","observation_id":"af732ab9-d286-4242-89c4-c342e8bf937f","resolution":{"observed_at":"2026-08-06T11:52:03.102701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.088338Z","title":"Nesterov","venue":null,"work_id":"e7189bfa-c13b-4faa-bd42-64bc04ea3388","year":1997},"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":47,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.404331Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:ba9befd5b5bec8dd2812245a25f547805209337cff649d69197074d5a7fedc15","observation_id":"f56a31b1-2680-414c-854a-4c4fed26343d","resolution":{"observed_at":"2026-08-06T11:52:03.092102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.076781Z","title":null,"venue":null,"work_id":"29b6fdf4-69ee-4243-87ea-80ee27aef4a8","year":1988},"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":48,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.408043Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:2b588ce1d0b75b11f11b86022d76ab8ecc289a61a3228d4411c3d4d118e12081","observation_id":"cf6f55a0-7a80-4a34-b6eb-9b7f931498a3","resolution":{"observed_at":"2026-08-06T11:52:03.080801Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.064822Z","title":"Oppermann and M","venue":null,"work_id":"5d6ac4b7-074c-4615-8352-e23b35c5e6b5","year":2008},"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":49,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.411285Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7a47fc19f1c51066ad74298f52484dea8b3a86cd7ca2a326a8f74d99904d5189","observation_id":"e37269e9-8947-4d3c-8679-8434dc0ace99","resolution":{"observed_at":"2026-08-06T11:52:03.069016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.053415Z","title":"Oppermann, M","venue":null,"work_id":"4e2c1a1e-e69c-4e05-b808-c3503c4a4e46","year":2007},"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":50,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.414636Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:d720340f41ce202c8cf0d53382f34975f903225adb9d38ba36fa6551b422501c","observation_id":"b5ff1020-7e8e-441e-ad9a-20af01ebadc5","resolution":{"observed_at":"2026-08-06T11:52:03.057000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.042100Z","title":"Oppermann and D","venue":null,"work_id":"a00247c6-8319-4c13-a140-cf8ec8484585","year":2005},"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":51,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.418309Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:d2d9e1e4b7ce9d608cd20fa2d4178d303dca0a960fed68bd4fdde504e28e0c19","observation_id":"715dfeb4-89eb-4f22-a33f-a0454c87a91c","resolution":{"observed_at":"2026-08-06T11:52:03.045790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.029521Z","title":"Panchenko","venue":null,"work_id":"a1ac2199-e28a-4b6d-981f-04b70205a737","year":2010},"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":52,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.421559Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:831320d3ec3e944a2dc767c8b80a8c34935a2f7a2a3a0952f841676328ee36b1","observation_id":"20d9d570-7ea7-476a-9ecf-8595c8ee8b92","resolution":{"observed_at":"2026-08-06T11:52:03.033638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.018410Z","title":"Panchenko","venue":null,"work_id":"1360b9fb-c1a4-4e0b-83c9-49ff7f0cdd40","year":2010},"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":53,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.424906Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:c2261b6023f540d4d8aa86ddd9c07aed24decd5e5c4796609d2d63525525f2c1","observation_id":"5276fb71-b795-4e5c-ba08-2986807989f8","resolution":{"observed_at":"2026-08-06T11:52:03.022292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:03.006857Z","title":"Panchenko","venue":null,"work_id":"35c4940a-25bf-4bd7-bfd1-18cb80f21ad8","year":2013},"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":54,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.428515Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:6e270f0881578b5753d20b1ac858de751d986c41e32f5eb88555ff12aac8286b","observation_id":"c85f4d0c-41f2-43c2-8f95-b6bf8862ceb6","resolution":{"observed_at":"2026-08-06T11:52:03.011073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.431863Z","title":"Panchenko","venue":null,"work_id":null,"year":2013},"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":55,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.431863Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:3576324481ebe4c2b66aaec58ce3ccb65dc26d47962e38e2ce0e767d330fcc66","observation_id":"a0cce242-ee28-4a6c-b696-023ab4f30257","resolution":{"observed_at":"2026-08-06T11:52:02.431863Z","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":"2026-08-06T11:52:02.989500Z","title":null,"venue":null,"work_id":"9262bd16-9bd0-49b6-b1b4-b60f84f73f78","year":1979},"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":56,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.435148Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:22fabd48f1c2d5d80e2cb3798e346ba72ed1c4ded189a45a457d1e0534d96dea","observation_id":"158e8967-93d1-4bf6-8b6e-c1f664c7b7f6","resolution":{"observed_at":"2026-08-06T11:52:02.993081Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.978852Z","title":null,"venue":null,"work_id":"efa2a916-1f2b-4b50-b6d5-1d33dc0be0fc","year":1980},"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":57,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.438734Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:75e487214a0714e15e1ab507044632accbc5a76feb1cf8e57dcb8a9ec63634df","observation_id":"b596325a-98dd-4667-8d46-889b26716b37","resolution":{"observed_at":"2026-08-06T11:52:02.982628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.968435Z","title":null,"venue":null,"work_id":"41962e0b-239a-4674-9987-94b435e0da84","year":1980},"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":58,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.442216Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:243715891e1a35628ec122b36c4506775d8bf190a2d562babd801d9cf96f9f00","observation_id":"34973297-cfe4-453b-8f71-be6c9e4caeac","resolution":{"observed_at":"2026-08-06T11:52:02.971925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.957963Z","title":null,"venue":null,"work_id":"7d397684-1a90-4f39-96c6-d619836361b4","year":1946},"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":59,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.445920Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:babbbdbb86509df0a88a7815234d6e8f1d17cf6dca23bddfc9b8df524ee8efc0","observation_id":"32281e20-ed33-4808-a724-0d8d56d605b2","resolution":{"observed_at":"2026-08-06T11:52:02.961608Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.947104Z","title":"Pastur and A","venue":null,"work_id":"40a5fb0a-3cf0-44e4-a482-e553a226c44e","year":1977},"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":60,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.449693Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:b84859116f14b2dace943e14dd8a18bac99c2285a22f02ab6a717e2bd083ecf6","observation_id":"29870010-e1ad-4624-adff-b8945113e249","resolution":{"observed_at":"2026-08-06T11:52:02.950465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.936337Z","title":"Pastur and A","venue":null,"work_id":"7ec9ef34-6581-4714-bb77-9a809d8ae595","year":1978},"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":61,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.453077Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:d1c067f03e11eb3bef876d8d2dc5b132d4a6ce711672f250dc88fee6b80ede84","observation_id":"d2e65979-fe5a-48ad-9e64-a7de4000ce21","resolution":{"observed_at":"2026-08-06T11:52:02.940370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.926268Z","title":"Pastur, M","venue":null,"work_id":"2b230e3b-86b5-4d0e-9888-9f76d09a2e47","year":1994},"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":62,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.456535Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:4d7ffb0c3034702d6c2995576dc4f1f5f30e3788f9b9367609ae21bab430a18e","observation_id":"4a836798-70ba-4eb6-a22d-1209bc23e8a1","resolution":{"observed_at":"2026-08-06T11:52:02.929642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.916679Z","title":"Ramsauer, B","venue":null,"work_id":"24d40486-de1c-4999-894e-b90df0ab3db0","year":2021},"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":63,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.460090Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:19e71f80d420a5f57708ff6d68dde6a6db4447e9c37b0949984e011023047950","observation_id":"ce64e33c-0938-476f-a755-b5c2cb9f91c9","resolution":{"observed_at":"2026-08-06T11:52:02.919938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.906566Z","title":"Shcherbina and B","venue":null,"work_id":"65819b4d-4eae-4a14-b43c-b1ddea705218","year":1993},"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":64,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.463207Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0e93fbb79e8a39f4df832ad3ab2b285b32be434e8e516b17cdd46ce19171b8a6","observation_id":"355a1871-84ab-40fa-b246-783e29b3a770","resolution":{"observed_at":"2026-08-06T11:52:02.909732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.897662Z","title":"Sherrington and S","venue":null,"work_id":"fc052e3c-883b-41f6-9b65-ade8b1093484","year":1975},"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":65,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.466788Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:6f7821f383880af4a6587c2e265355e2e9bd73c5bc99135f8a73fdf489475dfe","observation_id":"4be2c342-9b9e-45fd-acc7-e768d924920c","resolution":{"observed_at":"2026-08-06T11:52:02.900668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.888495Z","title":"Steﬀan and R","venue":null,"work_id":"c42ee973-ee39-4ee7-85c7-dbf2ead90f28","year":1994},"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":66,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.469666Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:b3b6b9d69fdc4739b14173787ec16a6c1c29a1e5ac8f538310cf412aa130d068","observation_id":"b95c4615-ee68-4ad7-ab4b-829dc0efc283","resolution":{"observed_at":"2026-08-06T11:52:02.891624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.7291","last_updated":"2013-03-29T03:55:09Z","snapshot_observed_at":"2026-08-15T00:23:19.411775Z","submitted_at":"2013-03-29T03:55:09Z","title":"A framework to characterize performance of LASSO algorithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.7291","snapshot_observed_at":"2026-08-06T11:52:02.473059Z","title":null,"venue":null,"work_id":null,"year":null},"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":67,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.473059Z"},"links":{"cited_paper":"/paper/1303.7291","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0018c4e1a9ad0070ffd1d7ba8c751c592c798a18dc3ddc1daf48f204e8f5e7e2","observation_id":"7835c77f-8300-4dcf-8cc2-f2eab8b1fcf7","resolution":{"observed_at":"2026-08-06T11:52:02.473059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0907.3666","last_updated":"2009-07-21T14:40:27Z","snapshot_observed_at":"2026-08-15T05:43:12.751026Z","submitted_at":"2009-07-21T14:40:27Z","title":"Various thresholds for $\\ell_1$-optimization in compressed sensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0907.3666","snapshot_observed_at":"2026-08-06T11:52:02.476972Z","title":null,"venue":null,"work_id":null,"year":null},"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":68,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.476972Z"},"links":{"cited_paper":"/paper/0907.3666","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:641cf18452e54454340fe486170997ac6757cb8b37f373b5ee49b6b8ed4070f4","observation_id":"518d4f29-9d35-4df3-b6db-cedf4697a1b6","resolution":{"observed_at":"2026-08-06T11:52:02.476972Z","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":"2026-08-06T11:52:02.878852Z","title":null,"venue":null,"work_id":"44a30ea7-25ee-4589-a276-7773db784a77","year":2010},"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":69,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.481003Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0f981ab0037c90d255330d7f5da1cbcceb663ab8c4a20a00854cef1dd16b93ef","observation_id":"b7ea92f8-876e-4ec7-b189-17c0c247542f","resolution":{"observed_at":"2026-08-06T11:52:02.882194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1306.3764","last_updated":"2013-06-17T08:25:50Z","snapshot_observed_at":"2026-08-15T00:13:53.499557Z","submitted_at":"2013-06-17T08:25:50Z","title":"Bounding ground state energy of Hopfield models","version":1},"cited_work":{"arxiv_id":"1306.3764","doi":null,"metadata_source":"pith","pith_arxiv_id":"1306.3764","snapshot_observed_at":"2026-08-06T11:52:02.759071Z","title":"Bounding ground state energy of Hopfield models","venue":"math.OC","work_id":"2e5bdd97-f5b6-4122-b16e-f41171dcfc30","year":2013},"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":70,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.484045Z"},"links":{"cited_paper":"/paper/1306.3764","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:95c90cd95c5ce81c38931da8b7b5dab1207144b05fb19893cbb24b312e1a715b","observation_id":"817e1cdc-7aee-4279-a372-99fb548911ea","resolution":{"observed_at":"2026-08-06T11:52:02.762423Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1306.3975","last_updated":"2013-06-17T08:30:56Z","snapshot_observed_at":"2026-08-15T00:13:53.482955Z","submitted_at":"2013-06-17T08:30:56Z","title":"Lifting/lowering Hopfield models ground state energies","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.3975","snapshot_observed_at":"2026-08-06T11:52:02.487845Z","title":null,"venue":null,"work_id":null,"year":2013},"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":71,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.487845Z"},"links":{"cited_paper":"/paper/1306.3975","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:19e8b1a473a9bf822e247a3f4d38d3a6a1a06fa0d792bb181961d09444bfc42b","observation_id":"54d35b2b-3b6b-4d9b-ac1f-552fb2ed3a9f","resolution":{"observed_at":"2026-08-06T11:52:02.487845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.01175","last_updated":"2019-09-03T13:43:42Z","snapshot_observed_at":"2026-08-17T04:44:01.919033Z","submitted_at":"2019-09-03T13:43:42Z","title":"Controlled Loosening-up (CLuP) -- achieving exact MIMO ML in polynomial time","version":1},"cited_work":{"arxiv_id":"1909.01175","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.01175","snapshot_observed_at":"2026-08-06T11:52:02.733803Z","title":"Controlled Loosening-up (CLuP) -- achieving exact MIMO ML in polynomial time","venue":"cs.IT","work_id":"da6c80c6-57f0-421a-9683-897b37c00734","year":2019},"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":72,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.492322Z"},"links":{"cited_paper":"/paper/1909.01175","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:3c9ab678ddd364f691b753819eacd3a935ac9644dfa10d955bf4b9210e3c4f93","observation_id":"b4fb756b-7a9f-4610-80a1-831964eb7f2f","resolution":{"observed_at":"2026-08-06T11:52:02.737507Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.11550","last_updated":"2020-11-23T17:03:13Z","snapshot_observed_at":"2026-08-16T19:03:54.205238Z","submitted_at":"2020-11-23T17:03:13Z","title":"Sparse linear regression -- CLuP achieves the ideal \\emph{exact} ML","version":1},"cited_work":{"arxiv_id":"2011.11550","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.11550","snapshot_observed_at":"2026-08-06T11:52:02.718864Z","title":"Sparse linear regression -- CLuP achieves the ideal \\emph{exact} ML","venue":"cs.IT","work_id":"ffc108af-c695-426f-a8cf-13eb8f09baec","year":2020},"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":73,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.496742Z"},"links":{"cited_paper":"/paper/2011.11550","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:ddc06e41f1324cd9c3c8010a821d4f48cb1055e5176ccb7562a1d644cdf8ebbf","observation_id":"66b34063-41be-44f8-a96e-f1f17098176c","resolution":{"observed_at":"2026-08-06T11:52:02.723182Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2312.00073","last_updated":"2023-11-29T22:22:32Z","snapshot_observed_at":"2026-08-16T14:39:02.885314Z","submitted_at":"2023-11-29T22:22:32Z","title":"Binary perceptrons capacity via fully lifted random duality theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.00073","snapshot_observed_at":"2026-08-06T11:52:02.504991Z","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":75,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.504991Z"},"links":{"cited_paper":"/paper/2312.00073","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7659a43b4e3bb5f2a4a4bc90d17c37ec860def856ce1c3cf211e6ec963a0c548","observation_id":"fb27ad44-5028-4188-a10f-a2a28453fe80","resolution":{"observed_at":"2026-08-06T11:52:02.504991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.16531","last_updated":"2023-12-27T11:23:40Z","snapshot_observed_at":"2026-08-16T14:31:24.495927Z","submitted_at":"2023-12-27T11:23:40Z","title":"Fl RDT based ultimate lowering of the negative spherical perceptron capacity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.16531","snapshot_observed_at":"2026-08-06T11:52:02.508575Z","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":76,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.508575Z"},"links":{"cited_paper":"/paper/2312.16531","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:4b893db8ae18952ec1953595677d3c384adfd9c9e64a111157628b3dabd9e07c","observation_id":"7446eb4f-4056-44e0-bc2d-d2fdedcd68ae","resolution":{"observed_at":"2026-08-06T11:52:02.508575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.18092","last_updated":"2023-11-29T21:20:49Z","snapshot_observed_at":"2026-08-16T14:39:04.191437Z","submitted_at":"2023-11-29T21:20:49Z","title":"Fully lifted interpolating comparisons of bilinearly indexed random processes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.18092","snapshot_observed_at":"2026-08-06T11:52:02.512081Z","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":77,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.512081Z"},"links":{"cited_paper":"/paper/2311.18092","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:16757330d36d1840de8145e12b882ce34c7354f6de96bfc21125a02b626985c7","observation_id":"4180af3b-9b29-4fa6-8f72-f59a4a57bf9f","resolution":{"observed_at":"2026-08-06T11:52:02.512081Z","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":"2026-08-06T11:52:02.868245Z","title":null,"venue":null,"work_id":"7bd87dc9-f6b2-4c88-a46e-c7f1ca10ccd2","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":78,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.515611Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:04496ef8ad9623de3281cd1d154e29c17ce3f9c38ff6692724129db37262744c","observation_id":"edb2e4c9-eb20-4ff0-beec-474a8b272b9c","resolution":{"observed_at":"2026-08-06T11:52:02.871575Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.08257","last_updated":"2023-12-13T16:19:58Z","snapshot_observed_at":"2026-08-17T22:15:54.928823Z","submitted_at":"2023-12-13T16:19:58Z","title":"\\emph{Lifted} RDT based capacity analysis of the 1-hidden layer treelike \\emph{sign} perceptrons neural networks","version":1},"cited_work":{"arxiv_id":"2312.08257","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.08257","snapshot_observed_at":"2026-08-06T11:52:02.665049Z","title":"\\emph{Lifted} RDT based capacity analysis of the 1-hidden layer treelike \\emph{sign} perceptrons neural networks","venue":"stat.ML","work_id":"15b7994a-38a3-494e-950b-4cc1c285b705","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":79,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.518896Z"},"links":{"cited_paper":"/paper/2312.08257","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:83cc296fc04f77e159cec284a4657313f42fe9f83bad87e2fd1ecef02850378b","observation_id":"45668778-5c0e-4a7f-8cc9-3fdad93591da","resolution":{"observed_at":"2026-08-06T11:52:02.670196Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.00071","last_updated":"2023-11-29T22:03:46Z","snapshot_observed_at":"2026-08-16T14:39:03.239586Z","submitted_at":"2023-11-29T22:03:46Z","title":"Studying Hopfield models via fully lifted random duality theory","version":1},"cited_work":{"arxiv_id":"2312.00071","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.00071","snapshot_observed_at":"2026-08-06T11:52:02.650400Z","title":"Studying Hopfield models via fully lifted random duality theory","venue":"math.PR","work_id":"49522056-3135-4e2c-b632-41c863920a88","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":80,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.522741Z"},"links":{"cited_paper":"/paper/2312.00071","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:3043d4a3367b8b4c2c8e250abaf0b186b5f15719d2e804fa69430a30315cc453","observation_id":"f723271a-2101-42bd-ad66-5634385110ab","resolution":{"observed_at":"2026-08-06T11:52:02.654765Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.01907","last_updated":"2024-03-04T10:10:23Z","snapshot_observed_at":"2026-08-16T14:13:09.070692Z","submitted_at":"2024-03-04T10:10:23Z","title":"Capacity of the Hebbian-Hopfield network associative memory","version":1},"cited_work":{"arxiv_id":"2403.01907","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.01907","snapshot_observed_at":"2026-08-06T11:52:02.636245Z","title":"Capacity of the Hebbian-Hopfield network associative memory","venue":"stat.ML","work_id":"fd86683a-d109-477f-b396-fdc9317e1b1a","year":2024},"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":81,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.526249Z"},"links":{"cited_paper":"/paper/2403.01907","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:c720309f326b1f30d614439d55a708066bb308d432b593884a7cd59c1d9dea7a","observation_id":"77d34a09-8f97-4ed4-9871-d22887be5540","resolution":{"observed_at":"2026-08-06T11:52:02.640401Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.09247","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.09247","snapshot_observed_at":"2026-08-06T11:52:02.620711Z","title":"A CLuP algorithm to practically achieve $\\sim 0.76$ SK--model ground state free energy","venue":"cond-mat.dis-nn","work_id":"e5360b48-dffd-4c8e-8b9f-3f4af925c23d","year":2025},"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":82,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.529830Z"},"links":{"cited_paper":"/paper/2507.09247","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:5c5f836f9742a7a94a929099e553c04b65200f4c089690e15566e95520af2ece","observation_id":"b3e7bfac-96c0-4480-bf77-d7fc43c7bfe6","resolution":{"observed_at":"2026-08-06T11:52:02.624630Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.19276","snapshot_observed_at":"2026-08-06T11:52:02.533631Z","title":null,"venue":null,"work_id":null,"year":2025},"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":83,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.533631Z"},"links":{"cited_paper":"/paper/2506.19276","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:d96ec3602a3d620e2f433a79ecf4a1ca74b36e2e37ba50803f96a2cb2868eccb","observation_id":"9a30b37a-a70c-4511-b9d6-0d3eda71b73e","resolution":{"observed_at":"2026-08-06T11:52:02.533631Z","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":"2026-08-06T11:52:02.857712Z","title":"The complexity of spherical p-spin models - A se cond moment approach","venue":null,"work_id":"0bf4dc2a-0d3e-4367-b5c9-99f8d6194fb2","year":2017},"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":84,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.537309Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7078b0e6dffd44bf6ef903b9f1b54dbfba3756f40092d711496c9f8694b959e8","observation_id":"1df8ab7e-a85d-4e26-a1b1-5f0b7e1b86ca","resolution":{"observed_at":"2026-08-06T11:52:02.861084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.848015Z","title":"The geometry of the gibbs measure of pure spheri cal spin glasses","venue":null,"work_id":"2a83b98d-10f5-425b-91ea-1e01cfb489e8","year":2017},"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":85,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.540701Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:7bc4800125d2ca04d9e3178137fdecf625637d05edad31220bd8680a6867421d","observation_id":"58c30c36-db25-4333-9aec-61c3fd427899","resolution":{"observed_at":"2026-08-06T11:52:02.851290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.837251Z","title":"Following the ground states of full-rsb spheri cal spin glasses","venue":null,"work_id":"be3c0c67-082b-4417-b697-82f86ac71449","year":2021},"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":86,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.544012Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:20f3c5d823132eefa5c230a671f7eb26330d3774f2612e7628555e80ec98df17","observation_id":"1ad4f1e9-a764-4b7d-911e-46623c3161a7","resolution":{"observed_at":"2026-08-06T11:52:02.840864Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.826854Z","title":"Free energy landscapes in spherical spin glass es","venue":null,"work_id":"3ed36c23-487a-470b-a2f6-831c68e63a2b","year":2024},"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":87,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.547221Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:186fbea2ae6b3f820af802caeabfb5b351d4719111a8039cf68164c1f403b491","observation_id":"97d4ee59-45b6-4a60-8fe1-078e8aeb6587","resolution":{"observed_at":"2026-08-06T11:52:02.830016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.817511Z","title":"Talagrand","venue":null,"work_id":"4fc498df-ac17-440c-a418-f59db53d51d1","year":1998},"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":88,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.550545Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:3eb4eb009ab10c937158f3236702c80d7dc2c08e654bf4302652a154de4d5ad5","observation_id":"2d9d726b-db56-4bc5-b735-364e08cb063c","resolution":{"observed_at":"2026-08-06T11:52:02.820817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.808194Z","title":"Talagrand","venue":null,"work_id":"cbf6b51c-370a-48a7-8d3a-e6b6d9cdcf1f","year":2006},"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":89,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.553949Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:e53d24c2a424db79531d9beb235221b2300a0af2db8a247a56156152eac1e95b","observation_id":"0eb9e863-87ab-4c88-971c-625c504be2bc","resolution":{"observed_at":"2026-08-06T11:52:02.811109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.798755Z","title":"Talagrand","venue":null,"work_id":"d2954e75-69f5-4d45-9187-4a02f90dabc1","year":2011},"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":90,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.557277Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:0310207d3d66fb676848f158051333894a1c705931214a5a5578dac44cd1e27c","observation_id":"2d0bded7-8da5-47b6-9502-4b0dd6fda5a8","resolution":{"observed_at":"2026-08-06T11:52:02.801762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T11:52:02.788836Z","title":"Talagrand","venue":null,"work_id":"495d9b93-cf9e-474a-90f3-8c3d251945ab","year":2011},"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":91,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.560749Z"},"links":{"citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:053dd83eff712423dd2647af6015ca41712b815ab64eb43db88e617e39be27d5","observation_id":"872a3b56-98b1-41ec-b403-ded2582ca861","resolution":{"observed_at":"2026-08-06T11:52:02.792028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1108.4771","last_updated":"2012-10-12T16:09:40Z","snapshot_observed_at":"2026-08-15T04:37:28.113374Z","submitted_at":"2011-08-24T07:38:56Z","title":"The Hopfield Model with Superlinearly Many Patterns","version":3},"cited_work":{"arxiv_id":"1108.4771","doi":null,"metadata_source":"pith","pith_arxiv_id":"1108.4771","snapshot_observed_at":"2026-08-06T11:52:02.594030Z","title":"The Hopfield Model with Superlinearly Many Patterns","venue":"math.PR","work_id":"bec76188-c558-446d-98a5-b7a2af0af908","year":2011},"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":92,"source":"pdf_text","source_observed_at":"2026-08-06T11:52:02.564017Z"},"links":{"cited_paper":"/paper/1108.4771","citing_paper":"/paper/2507.22396"},"observation_digest":"sha256:36468d2a86aff42b35ee25a00e3faca466fbdc99d01e7cfeffe869e99406b947","observation_id":"157ccd4a-eea8-49da-a944-a91b7795aa8d","resolution":{"observed_at":"2026-08-06T11:52:02.600136Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.22396","last_updated":"2025-07-30T05:30:46Z","latest_version":1,"primary_category":"cond-mat.dis-nn","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"},"reference_resolution":{"displayed":92,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":35,"verified_exact":8,"verified_fuzzy":48},"total_outbound_references":92},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 92 of 92 outbound references and 1 inbound Pith citation observation for arXiv:2507.22396."}