{"as_of":"2026-08-04T00:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b0007b750d59fa6707292567bba6f40149d5a1a3a5be404c0e8acd925f98b938","coverage":[{"denominator":108,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T18:14:03.072394Z","state":"measured"},{"denominator":103,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":103,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-03T06:30:56.289259+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T15:39:53.390975Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-05-20T19:08:54.184825Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"cited_work":{"arxiv_id":"2604.06324","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.06324","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","venue":"cond-mat.stat-mech","work_id":"aca44611-74a9-4c9b-a70d-7567598522d9","year":2026},"citing_paper":{"arxiv_id":"2604.23346","last_updated":"2026-04-25T15:07:48Z","snapshot_observed_at":"2026-07-06T23:09:34.300163Z","submitted_at":"2026-04-25T15:07:48Z","title":"Bayesian phase transition for the critical Ising model: Enlarged replica symmetry in the epsilon expansion and in 2D","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-05-08T07:00:41.720311Z"},"links":{"cited_paper":"/paper/2604.06324","citing_paper":"/paper/2604.23346"},"observation_digest":"sha256:98bc1807fa1c746250f2e296f23b909e4d09069a76b245250100514ce823bbce","observation_id":"1fe1949a-afe1-4cee-a342-74f97018e56a","resolution":{"observed_at":"2026-05-11T21:06:11.790077Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"cited_work":{"arxiv_id":"2604.06324","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.06324","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","venue":"cond-mat.stat-mech","work_id":"aca44611-74a9-4c9b-a70d-7567598522d9","year":2026},"citing_paper":{"arxiv_id":"2605.16029","last_updated":"2026-05-15T15:04:58Z","snapshot_observed_at":"2026-08-02T07:06:38.668335Z","submitted_at":"2026-05-15T15:04:58Z","title":"Born-rule statistical dynamical quantum phase transitions under measurement","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-20T19:07:09.299135Z"},"links":{"cited_paper":"/paper/2604.06324","citing_paper":"/paper/2605.16029"},"observation_digest":"sha256:7a884d4c3e98adfa3697ce54f8e7f0aaa51c9665916e79b70783b9a58295cdd1","observation_id":"608e4292-54ce-49c9-bbb7-15ae810efacf","resolution":{"observed_at":"2026-05-20T19:08:54.186608Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.06324","snapshot_observed_at":"2026-08-01T15:39:53.390975Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18374","last_updated":"2026-07-20T18:00:00Z","snapshot_observed_at":"2026-08-01T15:39:50.638738Z","submitted_at":"2026-07-20T18:00:00Z","title":"Nishimori Threshold Estimation for Bayesian Inference and $\\mathbb{Z}_q$ Surface Code Decoding","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T15:39:53.390975Z"},"links":{"cited_paper":"/paper/2604.06324","citing_paper":"/paper/2607.18374"},"observation_digest":"sha256:219d5bf62ae6767088b8a96141d4d54ca1f840a7591c0129dd56fe5eaed2c36c","observation_id":"98626cf0-6156-4416-894f-c1c96868fb56","resolution":{"observed_at":"2026-08-01T15:39:53.390975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.06324/citation-record","integrity":"/paper/2604.06324/integrity","json":"/paper/2604.06324/citation-record.json","paper":"/paper/2604.06324"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"61b70461-8190-4235-98fe-4e297ebf820e","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:a6af3454d8e9ffb0b431a34e8356dc917c66516ccc6bb1a09c0f7c2191ec6017","observation_id":"093451f5-d7a9-4155-9670-3cd65e2914d3","resolution":{"observed_at":"2026-05-17T06:24:10.598456Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"(33), which is the tricritical point in the 2D Ising learning phase diagram, are readily seen without the use of replicas","venue":null,"work_id":"b0dd00bd-70eb-45f7-89c7-32bfc2de0bed","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:bece087163f7e138dd7df7ae4429474753b9e643cbb6946927ce8d2bd5f19e7d","observation_id":"bd6cbed3-0987-444b-8fc2-5de6a4a90796","resolution":{"observed_at":"2026-05-17T06:21:36.465766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Fol- lowing Ref","venue":null,"work_id":"955f2311-1c1e-4b0c-a69d-edce178a49c2","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:c9d50a520bd196ff5004c4008243215932bf9645d9f0c9af32956f710eae0972","observation_id":"a6b75812-e898-459f-a319-3d7c8764af9f","resolution":{"observed_at":"2026-05-17T06:24:10.590561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c8de6465-66c7-4ee2-92ee-0e7beab675be","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:bb65dfdde5223efad0f87968a87e0e00175a6c887adb08d9c70aae428ef50dcf","observation_id":"ca39c651-4999-420e-a2c5-f0b4c3c04388","resolution":{"observed_at":"2026-05-17T06:21:36.460231Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"(E1) and the corresponding replica R → 0 Casimir effective central charge c(R→0) eff de- fined as c(R→0) eff := dc(R) dR R=0","venue":null,"work_id":"56a8aade-24bf-4b32-8d22-ef94f268d736","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:652feae5b5e717afb3ccbd951ab1cb5e40987d568e90735ddfb2eed8ddadd3d2","observation_id":"e06b90ab-f1e8-4e37-a038-85fc36abb180","resolution":{"observed_at":"2026-05-17T06:21:36.455193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0caaecb0-288e-451d-8026-241d5dddadce","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:608b4e0041c837cff68d6a6a62c6c0ef8f87ebf20bf8c2e14cb5507d410541c1","observation_id":"ce70a185-94be-45ef-a6d2-ed3995b182af","resolution":{"observed_at":"2026-05-17T06:21:36.462800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"(33)], which corresponds to the critical point of the 2D clean Ising model and therefore has central charge 1/2","venue":null,"work_id":"58010228-766c-4ec0-97a1-a31a5c1d5836","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:ec9f423901c0efcf6d924220a11c3b40cae5a884f8e3d996c39ccbaccd703163","observation_id":"0e1229ac-d4fe-4b6c-bbaa-6b1c3ef662d1","resolution":{"observed_at":"2026-05-17T06:21:36.447099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Kitaev, Fault-tolerant quantum computation by anyons, An- nals of Physics 303, 2 (2003)","venue":null,"work_id":"91bf2cc8-3373-4655-ab63-235a44643d3e","year":2003},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:9a129acf29519e71fcf8abc6f44f4aa60e6652015ad13f7dfd089d08fa7247f2","observation_id":"99c18e68-b689-4740-af8f-05f9874ee9d5","resolution":{"observed_at":"2026-05-17T06:21:36.438724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Dennis, A","venue":null,"work_id":"46c5079d-8c58-43ca-86df-78415f992fe2","year":2002},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:cf64dc89979a42255b145e4c978cbf16cd14af0d9e72ab49da44cabff82ed05b","observation_id":"42aeaa60-6ebd-495a-9dfa-24a67f66962b","resolution":{"observed_at":"2026-05-17T06:21:36.444116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Nishimori, Exact results and critical properties of the Ising model with competing interactions, Journal of Physics C: Solid State Physics 13, 4071 (1980)","venue":null,"work_id":"c5f1cb82-4ee5-41db-b78b-87bca0b55af6","year":1980},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:864f65fe6f6e5e7df2cf295dd69a7d7815a5adac6f5855876dff60a67e61a9a0","observation_id":"96520ad5-3c1a-41f6-af7f-89c35d794ec5","resolution":{"observed_at":"2026-05-17T06:21:36.433072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Nishimori, Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model, Progress of The- oretical Physics 66, 1169 (1981)","venue":null,"work_id":"7fa2a523-8b09-4206-9dad-8bb7c1d5ab2b","year":1981},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:8c696ce7c50ba49197b9e99ca84cd65a453767c329c2579afb9ee76bfb328cae","observation_id":"db472f82-d1e9-4079-ab83-0b8bc7eebd8f","resolution":{"observed_at":"2026-05-17T06:21:36.436120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Nishimori, Statistical Physics of Spin Glasses and Infor- mation Processing: An Introduction(Oxford University Press, 2001)","venue":null,"work_id":"9d79c286-0000-4a28-9784-5d5d967f9dd0","year":2001},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:2c38c86b43990c050309f018f095b6b704eee3c5e2bede4c093fb4543cd8f1f3","observation_id":"5d600905-9d03-4e3a-90bd-788e51ff7f6a","resolution":{"observed_at":"2026-05-17T06:21:36.441560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"432247aa-1c2f-4b9c-9724-3c30bf3d630b","year":2023},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:0069e5947b5e06857203204d54fa2069abb5e0016005f79c1cf675f52f6d6121","observation_id":"eb4a6c4c-adfd-4cb9-96f2-54bbb55107a2","resolution":{"observed_at":"2026-05-17T06:24:10.508617Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.11699","last_updated":"2022-09-06T16:28:58Z","snapshot_observed_at":"2026-07-06T13:45:08.197247Z","submitted_at":"2022-08-24T17:59:58Z","title":"Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond","version":2},"cited_work":{"arxiv_id":"2208.11699","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2208.11699","snapshot_observed_at":"2026-07-04T20:50:12.411461Z","title":"2022 , url =","venue":null,"work_id":"092ccac2-1dc7-4eeb-8a64-236ad74cbf17","year":2022},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2208.11699","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:37a962e44803bf8ab9148b042ea63e3a08e3401973c9ed8041c4c76f5cb50fb9","observation_id":"6fbaa395-a7d1-480f-9df6-29d0384ab19a","resolution":{"observed_at":"2026-05-11T05:16:03.617337Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4d5fea54-f2fb-4e1c-ba12-6e06d3bc5d2d","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:1bd90afbaf95700ac098975c407a31b8ac9c0d41051d646316c7d324d3e86be8","observation_id":"8442e1c1-60c7-42ea-b17f-248b0bf68643","resolution":{"observed_at":"2026-05-17T06:24:10.567926Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d11172ce-633f-4ce8-81c8-c80aa4b7eaba","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:5024f235ecc12bc37086d21f05ccc5bb8a3944d95df7e71aa66d9a9556cb4108","observation_id":"a8c33a9f-c590-42ab-9293-61963444ee9a","resolution":{"observed_at":"2026-05-17T06:24:10.479618Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.05687","last_updated":"2026-05-01T07:16:30Z","snapshot_observed_at":"2026-08-02T09:51:07.182041Z","submitted_at":"2023-01-13T18:15:04Z","title":"Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions","version":2},"cited_work":{"arxiv_id":"2301.05687","doi":"10.48550/arxiv.2301.05687","metadata_source":"pith","pith_arxiv_id":"2301.05687","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions","venue":"quant-ph","work_id":"f225c91a-842a-44ce-9103-928e2cebfef9","year":2023},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2301.05687","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:c3f497cc810924d687036f286320816d7eb3bc5c40db4a2709d2789084c9c49b","observation_id":"8bf800f3-18a5-47df-95f8-763ada981a83","resolution":{"observed_at":"2026-05-11T05:16:03.528358Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6c12fd3d-9433-4151-9fb8-4e1535857d80","year":2023},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:2588b262a12acc8ab01905b54c33896cccacd6c918e37b43fca0a89ca579cc02","observation_id":"2138f30d-60db-4145-8127-918f0129a233","resolution":{"observed_at":"2026-05-17T06:24:10.639733Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-07-08T16:35:10.851487Z","title":null,"venue":null,"work_id":"5c6a3e2a-5b99-4bb1-92b6-67304c1f8c8c","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:ebee487c9a73b16e9225ec35286af479c1d20653428ecf8d3ab59d391cb6ac5b","observation_id":"e24e3244-52c6-4eec-8f3c-cc77c48e10e4","resolution":{"observed_at":"2026-05-17T06:24:10.573897Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"735da6bc-62f4-4b0d-b73b-5f5f2ec03d45","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:15f187692fd0dc0f7ed01ab64d6f537e84a372b00aae04449b05db1c02573195","observation_id":"03fe67e9-310a-4226-b683-f9643a601c56","resolution":{"observed_at":"2026-05-17T06:24:10.623068Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b2d64185-635c-49c5-bc3a-cefc3a6b2aed","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:8f2b7e33971f733aba9ee026b0f7dddbf42be9e43e49913ebb2549260d9a2981","observation_id":"c8056ce1-14bc-4652-93f6-52ceb5946966","resolution":{"observed_at":"2026-05-17T06:24:10.595797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Chen and T","venue":null,"work_id":"ae8129ce-b805-4ecd-9cb7-2d8203eef234","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:803363aa52913fe6deb6658ae2c7e34dc2d36c109a1925a288ef592a0d665907","observation_id":"32ab9735-0473-4b9b-91ce-854447a309d6","resolution":{"observed_at":"2026-05-17T06:24:10.576822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Chen and T","venue":null,"work_id":"8d28c90d-3d0e-4761-b2a9-a96e98aed4c7","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:fe2fa37058bc83361cd5641c192222d23286cf3c5eaaacf55ad5aca7e6017c4e","observation_id":"6e3e9a22-9ad5-4231-9173-2a40858a2678","resolution":{"observed_at":"2026-05-17T06:24:10.619549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"19da246f-3ece-49e7-a139-2673778fc6f6","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:5bc3955034b4aecce9a1c118fb4a7902ef07b90dfe1717d7277514a602a06123","observation_id":"83b1f4aa-970c-4e36-ab77-ebf7e79e03ed","resolution":{"observed_at":"2026-05-17T06:24:10.488887Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Sohal and A","venue":null,"work_id":"fc4532b7-7df6-4cd5-82a0-5877020c9b77","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:64c9826803afe1dfbf6a0dde70e5b826ea65515788aaab143f9039751c4ecd66","observation_id":"ff12dded-0b1f-4d41-80be-842de0963981","resolution":{"observed_at":"2026-05-17T06:24:10.475275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"655d0fdf-7124-447b-9194-e887df1e27af","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:0519f3a5be614dec8a768acb9006b44510e8d4b54e8ccf662cc47d5d53e72fff","observation_id":"f61f6516-d917-47df-9e82-730d669ef768","resolution":{"observed_at":"2026-05-17T06:24:10.636345Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cb24babf-a5db-4df1-ab54-5c711847e8fb","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:34a7378bf3a2d2c605d5dfda2b7b19652abe057879b9ee8ffe952909119e47be","observation_id":"2de570b0-0101-4cd4-8539-48a06cf2f85b","resolution":{"observed_at":"2026-05-17T06:24:10.616119Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Eckstein, B","venue":null,"work_id":"85d915c8-8a58-491b-aab4-0a1e38b46252","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:9e5d93981c93248dd4d5eac4bb8cb4a31d63ccd08c91f57417cb8eb2a2dbd123","observation_id":"a20421a4-412c-42ef-b5ad-f43f892af7a4","resolution":{"observed_at":"2026-05-17T06:24:10.562439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2502.14034","doi":"10.48550/arxiv.2502.14034","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:15:01.137692Z","title":null,"venue":null,"work_id":"4287a630-f90d-4c8e-ae95-ccbac66b660a","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:481e5f66912b7e78d82cf7b6379daafb9e97b2d84d2c9c2be232b3cae429d85a","observation_id":"36955e92-ed0b-42a3-83fa-67f9d4fdf2ad","resolution":{"observed_at":"2026-05-11T05:16:03.581173Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.19786","doi":"10.48550/arxiv.2512.19786","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:15:01.137692Z","title":"Eckstein, B","venue":null,"work_id":"b28073ce-8324-4c67-acbd-286641156663","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:02e3b538f588b4ff08268f64f54f4181e5f609954652793a9b12cf9054d204fa","observation_id":"50d685ee-5a1f-43a1-9b5d-0d4516bf9a07","resolution":{"observed_at":"2026-05-11T05:16:03.650793Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Iba, The Nishimori line and Bayesian statistics, Journal of Physics A: Mathematical and General 32, 3875 (1999)","venue":null,"work_id":"0fbb291f-1c69-4223-95eb-0ca6a3414883","year":1999},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:d9cdeb8c2ccf350d65125be6ee9134502b390d8982acbc20a7733fb674671042","observation_id":"8da07ddd-bdad-4231-bab6-29facf0e0e62","resolution":{"observed_at":"2026-05-17T06:24:10.587753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.12385","last_updated":"2026-04-30T03:45:26Z","snapshot_observed_at":"2026-07-06T21:10:36.816977Z","submitted_at":"2025-04-16T18:00:01Z","title":"Learning transitions in classical Ising models and deformed toric codes","version":3},"cited_work":{"arxiv_id":"2504.12385","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.12385","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Learning transitions in classical Ising models and deformed toric codes","venue":"cond-mat.stat-mech","work_id":"b220e5d0-1711-43c6-b60a-cdb98f949113","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2504.12385","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:f482f2f9b00e90b45d0749568eebbed9242a2fc166102c258e46a15afa56bb85","observation_id":"c18213fb-4bf4-4d21-add5-e26ba420a3eb","resolution":{"observed_at":"2026-05-11T05:16:03.628573Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Castelnovo and C","venue":null,"work_id":"79a6c5ce-bcdb-43e6-a879-57c00e567929","year":2008},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:4b1cb3d8b36322158e18f0aa0f4ae9bfb2d777c505aa71e3cf3c25b6b7a2a486","observation_id":"17684a7f-7d3b-48b0-b9cf-c9a1a69f3ca2","resolution":{"observed_at":"2026-05-17T06:24:10.585136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Papanikolaou, K","venue":null,"work_id":"226ca38b-b7b8-419a-83c7-4566bf67415e","year":2007},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:975f8e1f71494d406f59c63599ee4b3c76a2d76d7bb7a3eaa402e70cc415e754","observation_id":"c725e07c-30b3-4998-ac57-3557d028cc85","resolution":{"observed_at":"2026-05-17T06:24:10.565151Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Ardonne, P","venue":null,"work_id":"fdbcf5be-f52a-47a7-bc97-8842394a19c0","year":2004},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:111ece828d2bf9ff91a2f736884d88df388b4f677a7320af5d516f35d5e085c5","observation_id":"d3c0d190-fe09-4721-9edd-54f38e2de72c","resolution":{"observed_at":"2026-05-17T06:24:10.604411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"476f117b-a648-4626-b4ec-80c219578610","year":2011},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:d83293caa0a7c7c7c9350310fd908b67f62bf6b949ceeef73cf7a020d855602a","observation_id":"cefdf2b0-62a7-442d-9f16-a0f2e5fd866b","resolution":{"observed_at":"2026-05-17T06:24:10.497418Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Zhu and G.-M","venue":null,"work_id":"bf070821-9ca0-4446-ac3c-7b2660f0ac61","year":2019},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:83c5c2c281058a94e907f8cbc4b436886f737df48fca8d827980d010c676f438","observation_id":"bc6a94da-15b3-4c81-9da7-47a81eeac308","resolution":{"observed_at":"2026-05-17T06:24:10.502878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Huxford, D","venue":null,"work_id":"a4d57a3f-caa2-47e8-983d-ef094be05981","year":2023},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:a0a56002936c62af2e2ec2298d50f97dd086f4c70f75790f71232166c9261152","observation_id":"16bbf479-4325-487c-84e2-571984f45860","resolution":{"observed_at":"2026-05-17T06:21:36.575789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01977","last_updated":"2025-04-28T03:48:18Z","snapshot_observed_at":"2026-07-06T20:45:59.818273Z","submitted_at":"2025-03-03T19:00:37Z","title":"Enforced Gaplessness from States with Exponentially Decaying Correlations","version":2},"cited_work":{"arxiv_id":"2503.01977","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.01977","snapshot_observed_at":"2026-07-03T17:48:46.189764Z","title":"Enforced Gaplessness from States with Exponentially Decaying Correlations","venue":null,"work_id":"71bb6b34-3afb-4d08-b6b7-57a2ed8a8952","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2503.01977","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:dbf87e895bed5aee3c32310f031ab7dce27068799867e8c2b22d13e932de6ab2","observation_id":"de31793b-4896-413d-8b89-bbc77002892e","resolution":{"observed_at":"2026-05-11T05:16:03.603097Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.01264","last_updated":"2025-04-02T00:25:27Z","snapshot_observed_at":"2026-08-02T21:30:48.863057Z","submitted_at":"2025-04-02T00:25:27Z","title":"Bayesian critical points in classical lattice models","version":1},"cited_work":{"arxiv_id":"2504.01264","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.01264","snapshot_observed_at":"2026-07-10T23:27:38.506932Z","title":"Nahum and J","venue":"cond-mat.stat-mech","work_id":"0bbd9764-4b5a-4165-8ee3-abb1749c1d83","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2504.01264","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:1b9b3a0a58d2b25009a454fe4fa95bf32b6891351be1721201896ae4efc33591","observation_id":"691a28af-250b-4cd5-ab6a-fc5d6e3f8d8e","resolution":{"observed_at":"2026-05-11T05:16:03.705350Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Hauser, Y","venue":null,"work_id":"afe9f609-104e-401e-a562-14613025f6c0","year":2026},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:b4235029a753cb5d4d6ddc5af7ce4eb36bf3ce3197c351faef229871378823f7","observation_id":"19aa82b4-5080-4617-aeb0-81977e2fedf7","resolution":{"observed_at":"2026-05-17T06:21:36.578431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2512.03031","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"In- formation dynamics and symmetry breaking in generic monitoredZ 2-symmetric open quantum systems","venue":null,"work_id":"5ad86b30-f344-440d-8de6-6cf47a7643f4","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:d131ebdd9f5df3915bd2928606122b962fdf0fa8cc248396d5c4e2677d059559","observation_id":"ef55c871-df23-4689-86a3-721429cd4623","resolution":{"observed_at":"2026-05-11T05:16:03.543174Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2511.02907","last_updated":"2026-04-17T16:44:58Z","snapshot_observed_at":"2026-07-06T22:34:53.346702Z","submitted_at":"2025-11-04T19:00:02Z","title":"Revisiting Nishimori multicriticality through the lens of information measures","version":2},"cited_work":{"arxiv_id":"2511.02907","doi":null,"metadata_source":"pith","pith_arxiv_id":"2511.02907","snapshot_observed_at":"2026-07-04T09:29:44.519150Z","title":"Revisiting Nishimori multicriticality through the lens of information measures","venue":"cond-mat.stat-mech","work_id":"de1ee1ca-3485-42ba-960e-a8c651c4b911","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2511.02907","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:976e1f9df3593a5b71f32a45b916361c54227df1b9acca26fb72ac2ad61e0c93","observation_id":"be550a4d-3b7a-49be-a341-616bd15a1159","resolution":{"observed_at":"2026-05-11T05:16:03.570805Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Colmenarez, Z.-M","venue":null,"work_id":"2b66074d-ef06-4640-b19a-38ccb867a87f","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:9923de48635949a3a97d7f272d03360e40b4104a5a92930793bb726d3dbad387","observation_id":"b211bcdf-1409-4d0d-96b5-8d6418c1e19e","resolution":{"observed_at":"2026-05-17T06:21:36.586072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Huang, L","venue":null,"work_id":"dfe47318-7fbf-4253-bb78-7cadfc43c191","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:576f03ea8a8d4f3a5007a60ce2f3315ed5717e6fbd510cdfe362c8fc2ae797ea","observation_id":"1841b22e-59f9-40b3-afd8-d860f7cfb446","resolution":{"observed_at":"2026-05-17T06:21:36.570460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.08888","last_updated":"2025-04-11T18:00:06Z","snapshot_observed_at":"2026-07-06T21:08:10.094049Z","submitted_at":"2025-04-11T18:00:06Z","title":"Measurement-induced phase transitions in quantum inference problems and quantum hidden Markov models","version":1},"cited_work":{"arxiv_id":"2504.08888","doi":"10.48550/arxiv.2504.08888","metadata_source":"pith","pith_arxiv_id":"2504.08888","snapshot_observed_at":"2026-07-10T23:27:38.419763Z","title":"Measurement-induced phase transitions in quantum inference problems and quantum hidden markov models","venue":"cond-mat.stat-mech","work_id":"45d4af77-b9c0-45ed-b26c-29f1f4dac12d","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2504.08888","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:40f5731a7a92bd0e1eeee676a4187d892c6962af5d8d7ba944f5770bbb22a33c","observation_id":"ed8aab84-836f-4fc2-ab9d-e437498d34f3","resolution":{"observed_at":"2026-05-11T05:16:03.732723Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Le Doussal and A","venue":null,"work_id":"db4bca8b-8d6e-4300-8f7a-e2546c46ea1e","year":1988},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:548ee01f797ec27b0bb0c0eaada195069d2680486138cda00ac8660717f272ba","observation_id":"7882737b-bc53-46f9-b4b4-f177859e945b","resolution":{"observed_at":"2026-05-17T06:21:36.564525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Le Doussal and A","venue":null,"work_id":"b833eeeb-e42b-42d3-885a-d40b9027fd6b","year":1989},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:ecc568cf1b29237f6cfd99434789e1d3da0cc0a8d5ea6477aa5644d0eeb4b622","observation_id":"f512edc9-0395-4799-bfbd-e7f4d7065fc5","resolution":{"observed_at":"2026-05-17T06:21:36.567524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e3e37182-ded8-414d-bc19-80ac8e09e72b","year":1987},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:c48c07860ff8e6374af3831b5671a65dc4684ab924965c6b530d03c4c05dd838","observation_id":"caa8f18c-2eac-4896-b6b3-c37be4843d0a","resolution":{"observed_at":"2026-05-17T06:21:36.573046Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-07-08T16:35:10.746659Z","title":null,"venue":null,"work_id":"f48b020a-c6ec-4819-8757-9c85458f45dd","year":2001},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:d48a1e51bf1c2b96abe6c361a09e237203026a767d2e8e7fc082642e6e22639d","observation_id":"a302a6a4-aef1-4994-8d62-b99c2f030c23","resolution":{"observed_at":"2026-05-17T06:21:36.583591Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.08051","last_updated":"2019-08-21T18:00:01Z","snapshot_observed_at":"2026-07-06T08:15:56.001089Z","submitted_at":"2019-08-21T18:00:01Z","title":"Measurement-induced criticality in random quantum circuits","version":1},"cited_work":{"arxiv_id":"1908.08051","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.08051","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Jian, Y .-Z","venue":null,"work_id":"95d51aae-0482-4a5a-88b6-1aae3a7676c5","year":2020},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/1908.08051","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:2c67f69f24bb62a7e899bea87505f996aaa24540bf063371eaa76327d1c13ed9","observation_id":"70c531a4-c795-4b8c-b76e-c238c047eeb8","resolution":{"observed_at":"2026-05-11T05:16:03.638141Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3a0f72ce-107b-4608-b8c9-7529103f3e0f","year":2020},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:bcca4faeb5c04d18d8685c012308710dd90ac90ecac50d8ecef95f868025d8a5","observation_id":"d4aecdf7-852b-455e-a94b-13d1910f9e6e","resolution":{"observed_at":"2026-05-17T06:21:36.552846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"86a5e2b8-e5e0-448b-a0e3-1731c8dc2475","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:fa9ac7037caa6b3eb7107ea90a8865a31906ac2f2f5fbbfd30d50f66ac86e212","observation_id":"afbd8a3d-8638-4fbd-b959-dbf632c750ec","resolution":{"observed_at":"2026-05-17T06:21:36.555891Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Merz and J","venue":null,"work_id":"7d043ea4-0d66-44f6-b389-3e9801eae417","year":2002},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:9097b71240c31e82b855705da33fafcf6284cc291dcd892da4f52c9720a4adda","observation_id":"53a70512-7065-4393-a1dc-ebd29c88ebbc","resolution":{"observed_at":"2026-05-17T06:24:10.523375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3b5941b7-6816-4415-9bd8-e0be59da110c","year":1971},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:5d0a75167f30e1cd628d51822ecee79cc83ac2587cb44bddfe592aa875984a21","observation_id":"0755e093-1e0e-4577-b8ee-eea19bbfeedd","resolution":{"observed_at":"2026-05-17T06:24:10.650093Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2507.07959","doi":"10.48550/arxiv.2507.07959","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T12:15:01.137692Z","title":null,"venue":null,"work_id":"2b92096f-98ab-43cc-853d-08c07829dce1","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:cd77a66e8606b5a6cef09c4e67f51c93646f955bf3ffbbf84c50246639e789ec","observation_id":"64cbe6c8-0d0c-43d4-bcce-f43c585cc8a7","resolution":{"observed_at":"2026-05-11T05:16:03.672788Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Zabalo, M","venue":null,"work_id":"25add981-5a21-4a0a-973c-7d368234956d","year":2022},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:02f038c722d1f3685d430196e4c38bf3a0d9ceffaa619838e5d8311b9c0de881","observation_id":"81459434-49f4-4e69-9630-e2bfeeb4cad8","resolution":{"observed_at":"2026-05-17T06:24:10.607195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Kumar, K","venue":null,"work_id":"30f4b4f6-953e-449f-854c-38b6e247d234","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:5bc580565b4793222db34624c0eb092fd4592982864d63630584070a31e667f9","observation_id":"5b5b2007-c9d6-4b07-a402-5ed4bba447b2","resolution":{"observed_at":"2026-05-17T06:24:10.629112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Honecker, M","venue":null,"work_id":"66d7e837-055b-4b59-8858-e02939641ce5","year":2001},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:03b0f60be50dc7ae37aa4a54156d351d677c8e43c080ec7537ce17c19f6cdb07","observation_id":"778fe4c6-78c0-4df0-be5b-6c3881d2d5a7","resolution":{"observed_at":"2026-05-17T06:24:10.532488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Picco, A","venue":null,"work_id":"5e2863db-f8af-49de-89bc-4190e2a715eb","year":2006},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:2da6b10699890148e9c7ef82f8c6b2e4bc3959e59f47c701e507a31b54e4a0c0","observation_id":"fee68a72-924c-4cd3-9249-ad377c0d6217","resolution":{"observed_at":"2026-05-17T06:24:10.601689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7f389d3e-a607-4a46-978f-ab1852443867","year":2004},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:f82addbd417080821d0b8015d4e01772b7f5ca82b66e709ee982b49a2f78898a","observation_id":"ca4f95da-d8c9-40cc-b9fe-bbc78f2567ba","resolution":{"observed_at":"2026-05-17T06:21:36.561720Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Chang, V","venue":null,"work_id":"2225c7c2-2581-4b61-a049-1ab94ecf8dc6","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:e791d87719d9c9a9dab4888e03abb51ed5c1bf244d0e247b822ac590515088ef","observation_id":"679ccfc2-63e0-4639-bc13-3a89644fe3e2","resolution":{"observed_at":"2026-05-17T06:21:36.558837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"El-Showk, M","venue":null,"work_id":"8ab4c766-a392-491f-bad7-aa67b2c8ffa8","year":2012},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:a51f04b68da102d09f04c26cd52bdfe8a1a118139bd75fffeb897eba73f72aab","observation_id":"d1743c64-9309-41ae-a4e5-ea241b623154","resolution":{"observed_at":"2026-05-17T06:21:36.580943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"fcee8800-9341-4934-aeba-b6412daf36af","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:3d8dd84a19e42427eda09f76438f0795d6ca86d7983c0914b48a4f2f9078877c","observation_id":"6c3b1d15-70b6-494e-990e-0c9f285ef84e","resolution":{"observed_at":"2026-05-17T06:24:10.544557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"P ¨utz, R","venue":null,"work_id":"dacb2ac9-17ed-4ee2-b1c3-6492f9db7737","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:47cd157c90cf121ff01826a062147c8f686a6ca8283c34f505a2174ab229edea","observation_id":"36057c8e-4367-446a-93cf-4adaec03d826","resolution":{"observed_at":"2026-05-17T06:24:10.553695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"06ff897f-c27b-41c9-b26c-c6f8e8b314c8","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:8ca8dd88c3fdec13c1d57401db55cfe87c8214093bf12105429db877c1d2ed2b","observation_id":"2c7f8369-eb5d-4ec5-95a6-b2589f01307e","resolution":{"observed_at":"2026-05-17T06:24:10.559710Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5ecdd253-ad71-42c7-9248-c5f6771937bf","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:106942012ad6e19f29af477f9c3023441f30fa92c5944a2bdec4d3980622ffd7","observation_id":"13f9803c-a2bf-4778-82c8-89c86c25a6c7","resolution":{"observed_at":"2026-05-17T06:24:10.526492Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"40ba350c-5b15-4218-bdc6-3994b1490f1e","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:b95565ea52276cea58d92878b796035f6226c27c02e29e8afa2e5445ad307c43","observation_id":"0f204129-c8be-42e2-a308-3f16ba93995f","resolution":{"observed_at":"2026-05-17T06:24:10.486151Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Sourlas, Spin Glasses, Error-Correcting Codes and Finite- Temperature Decoding, Europhysics Letters 25, 159 (1994)","venue":null,"work_id":"4b0fc421-983a-4bf4-a46b-beff25fc0a23","year":1994},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:f0733771755d92511018c4b9dc548f977b66b4f88ffad67ee1223e3d9e609d28","observation_id":"dfd5e48f-4e0a-4629-9597-9b476ebffea1","resolution":{"observed_at":"2026-05-17T06:24:10.494656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2f1df9da-c8e8-4dd7-9e2d-6f01e13929cd","year":2020},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:20c2eaa41ded974caf5c92a9840b75fbb337b255c1f2e2bb5c28d3a0790d9585","observation_id":"1724f1f9-6277-45eb-ba72-273fbcb0b26a","resolution":{"observed_at":"2026-05-17T06:24:10.491776Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Zhang, Y","venue":null,"work_id":"1a31a059-91f3-4808-a59b-3a48dbe2123e","year":2025},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:8edfc8c6e70e17433ce34bafd33b8a03590e8464479245e0257cd54fa96babe9","observation_id":"e03e0e8d-be41-4999-9ef5-c86fd23e88ff","resolution":{"observed_at":"2026-05-17T06:24:10.570794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"4] also meets the other two line of transitions at the tricritical point","venue":null,"work_id":"e73609af-e373-49b5-8abb-9a3f18d0e43d","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:e74802a698a2bf66903ded1a7b45a69ead9c4a00b0759f886e3df465f2ee8bc2","observation_id":"f26980dd-d102-430c-9293-20493822f165","resolution":{"observed_at":"2026-05-17T06:24:10.500257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e26aa4b9-a04c-4fce-8c30-81cd4c7d289f","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:353c940f7dd505700b1c6985d460b02c68ee2037b0e3f266a3f5fba82a7f1bad","observation_id":"0e5905b8-565d-4bc4-beb3-bc9248fc98c6","resolution":{"observed_at":"2026-05-17T06:24:10.556781Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0a67e523-28e9-46e4-a975-26c9a20de1b4","year":1941},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:592fa078dd79063039c2662af828a44014af499124b40d7e0ad326fb832a17d0","observation_id":"3c24c91d-a318-41af-9fe3-0d7cdd318c12","resolution":{"observed_at":"2026-05-17T06:24:10.613035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"(20) on the β = 0 line to the Nishi- mori line in the replica R → 0 RBIM with Gaussian bond disorder [53, 69]","venue":null,"work_id":"5dff52e7-c5d5-4985-b2c7-e5c99e1fb712","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:418592f777c867764ccfafd6fc3c66ebde1fcc483c41b2c7502cf40aadf2fdfa","observation_id":"c8071628-5374-4ef7-9834-538d6d89ff0e","resolution":{"observed_at":"2026-05-17T06:24:10.482578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8ab4901c-d35e-4881-91b3-f7d319476351","year":1984},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:f9f9779cabbe30389987e71309774a0e03bc91e240cc9160ebbab3f5de9e8d19","observation_id":"4c714325-119b-46a8-ad45-e119ea3cfc77","resolution":{"observed_at":"2026-05-17T06:24:10.535548Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"20412167-60e2-415c-94c1-b4cbec0d2f6a","year":2003},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:e8d71d5cb6f504b7cc6f49c4556a4f99d50b94f567efcd3cea7731a224675bd1","observation_id":"5d278625-d97a-44de-8264-9817c1a0fc66","resolution":{"observed_at":"2026-05-17T06:24:10.529482Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Feller, An Introduction to Probability Theory and Its Ap- plications, Volume 2 (J.Wiley and Sons, New York, 1966)","venue":null,"work_id":"812d856b-519a-45f3-a9eb-d68ca4c2bd19","year":1966},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:431ec139c1693b40ef5130af9ea59020ef8ac76396cb1def9fc7acc7cdcacf83","observation_id":"3f6ecba9-e5ae-4c6a-ad22-fefcbf21b4fa","resolution":{"observed_at":"2026-05-17T06:24:10.541567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d13cd788-2f79-4c67-9679-951abe20b8ae","year":1987},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:44ea9a83b81e037fc6f17f99a1367343e5d66aaff6676d1ddd6deaaaf5dd179a","observation_id":"a7014d4d-e98b-43b7-9453-bbcac21142c1","resolution":{"observed_at":"2026-05-17T06:24:10.579508Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Cardy, Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications, Journal of Physics A: Mathematical and Theoretical 46, 494001 (2013)","venue":null,"work_id":"8b55a4e3-26ba-466a-9c0f-b047cb4d2271","year":2013},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:cc80299a550897acddbe5ddfb0300e7bb5164b25f02a924273e668539e3b10fb","observation_id":"9f003749-272d-4c32-bb55-0b292c11c2f8","resolution":{"observed_at":"2026-05-17T06:24:10.582519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Georges, D","venue":null,"work_id":"c1a9738b-c2ba-4f75-afb9-24ba9ffd7e65","year":1985},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:773a5eca7963c5026c05402d580fe29f90d0539cf266558fd5f222688da7305c","observation_id":"5b6171ee-99d2-436a-8e2f-cf12933ae560","resolution":{"observed_at":"2026-05-17T06:24:10.538511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"10a07c68-51f9-4ef6-aef0-831e6aa3d229","year":2026},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:1ca905fea34ba25dea0fd33ff9996e38300373f3d5b02a506231d1182f8c900f","observation_id":"918eb3df-1941-48e5-81d3-8f68d1fa2fda","resolution":{"observed_at":"2026-05-17T06:24:10.517494Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Read and A","venue":null,"work_id":"1e995878-835e-471c-8501-87b4cf9ad16b","year":2000},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:6ad8b81575b15257a37dcf338f4b313e6c5856baeec46e8f6af9cc77738f23c4","observation_id":"46c7731b-e669-4374-8cb7-a993c277c476","resolution":{"observed_at":"2026-05-17T06:24:10.662522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"04232a93-5a22-405d-b723-f48aa7a4710a","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:473db2114645c5c05ba3815cd89549ac2a83ad749d45cb88c27ba0e943259646","observation_id":"249dd521-a9fb-4631-8a0c-65a34b8000bc","resolution":{"observed_at":"2026-05-17T06:24:10.656605Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"McCoy and T","venue":null,"work_id":"3e81205f-99ff-4d6c-a1be-db651a4bf125","year":2014},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:788eaf2143cb6d04b9aa97328c02c0e092a6e64e6b811f52b7a0c9e3fd94585a","observation_id":"34278656-bb21-4e3c-9f2d-52699e5a2cd1","resolution":{"observed_at":"2026-05-17T06:24:10.520761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Schultz, D","venue":null,"work_id":"fc799e2b-6496-47cb-86f7-71705e07c6cb","year":1964},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:282ff98f658f0d9c8f71e9f9b9947fd3e7f6906871f06f035a294f467a6b0798","observation_id":"a292d514-861b-4be0-b9b0-11c5b0d4ac23","resolution":{"observed_at":"2026-05-17T06:24:10.505858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Cardy, Ch","venue":null,"work_id":"cd33fb7a-9bf6-4b96-95f2-6f5e07860a55","year":1996},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:61745dcb8547a391744c15c3b45b8e241b12953fba782fca79c66ef67d5627b3","observation_id":"cb920e2a-b63a-4b54-a519-15eb7fd3378d","resolution":{"observed_at":"2026-05-17T06:24:10.672118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Komargodski and D","venue":null,"work_id":"2150333a-5615-4066-919b-71f7ffa78607","year":2017},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:78130ca9f0ad0a48119695e04a1db24eca0c9a9b507d3c9f7e445e18c213fd5c","observation_id":"1f7dcc97-2a61-408f-a5ac-51a2c100ab34","resolution":{"observed_at":"2026-05-17T06:24:10.669095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d247543b-c364-4237-8a0c-0fe76f46e228","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:6df1fe2b80b8d88283ce83e63044dc118e993002a18b4e6f2d166f2f4f346f26","observation_id":"aa0736c9-6b16-4418-aa21-3082b022735d","resolution":{"observed_at":"2026-05-17T06:24:10.511347Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.02107","last_updated":"2024-09-03T17:59:04Z","snapshot_observed_at":"2026-07-06T19:09:55.393720Z","submitted_at":"2024-09-03T17:59:04Z","title":"Highly complex novel critical behavior from the intrinsic randomness of quantum mechanical measurements on critical ground states -- a controlled renormalization group analysis","version":1},"cited_work":{"arxiv_id":"2409.02107","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.02107","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"64c27ba5-710d-4993-bb51-8f2271dc06eb","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2409.02107","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:098c1f9c93a4f70864eeb0ea7a9f0ed84f09105f8dc15d82ca5b704bfa115172","observation_id":"736dcc27-a318-4ee3-b131-e19071c0658c","resolution":{"observed_at":"2026-05-11T05:16:03.660532Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2af71726-e6ee-4e51-87a6-593a95655cce","year":2024},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:605445c2172d56b1100d4b75c1964aa07d4bf49b0974e716d269889d338db36f","observation_id":"7546902f-b7c2-419b-9d80-c79250987416","resolution":{"observed_at":"2026-05-17T06:21:36.457667Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.09094","last_updated":"2023-02-17T19:00:11Z","snapshot_observed_at":"2026-07-06T14:53:04.347410Z","submitted_at":"2023-02-17T19:00:11Z","title":"Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements","version":1},"cited_work":{"arxiv_id":"2302.09094","doi":"10.48550/arxiv.2302.09094","metadata_source":"pith","pith_arxiv_id":"2302.09094","snapshot_observed_at":"2026-07-10T23:37:44.810432Z","title":"Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born- rule versus forced measurements","venue":"cond-mat.stat-mech","work_id":"b9325174-2704-4125-bf59-b845a2bac98a","year":2023},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/2302.09094","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:e2f40cba7fb48998e48395e15e51ac491de50f275b5c2bd9b5c258b585458317","observation_id":"ada921a5-c589-431c-bda7-ba85d1bf4e51","resolution":{"observed_at":"2026-05-11T05:16:03.683056Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Nishimori and M","venue":null,"work_id":"65668ea8-c821-49d8-a25b-f4c77ddeacaa","year":1983},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:2d8a340fe6a17200ccc58b5250fb54bc2c5d1186e4d4ff7afe656438d1191011","observation_id":"8fc8c439-0b44-4d41-b228-25d091a029f5","resolution":{"observed_at":"2026-05-17T06:21:36.452106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Ozeki and H","venue":null,"work_id":"7958544e-cb8e-4d9a-9c82-073e41c17eda","year":1993},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:2b65ac602550b9063d3bd5f9f97e41bfa89428821f54752cb903ea24cfd6af6a","observation_id":"e31a0a5a-38ce-4269-b77d-657954ba0a10","resolution":{"observed_at":"2026-05-17T06:24:10.550753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"598da497-89b8-40a3-8bf5-c7c53395600b","year":2002},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:6588ec7ba736eb9d0154e796f126e1f3edcbc969660a849bae6a736e2362113e","observation_id":"0917c84f-2624-4a43-bf17-0a886c09a419","resolution":{"observed_at":"2026-05-17T06:24:10.593227Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"Honecker, J","venue":null,"work_id":"93205dc1-3a9d-48f4-90c4-f34c1cee24f0","year":2002},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:987d641315996be1557e29b9c1a4d6e1bae02177677aa0d2b2fb773042cf6cd7","observation_id":"d06812ac-e881-4d63-b1ef-725d1cfd96d6","resolution":{"observed_at":"2026-05-17T06:24:10.659572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.19348702","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","venue":null,"work_id":"08905d8e-ba86-4397-99bd-085bbfd0a081","year":2026},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:7bafcf1936d363124b4660b9e653397a1e980dfda36a1743526499dbd3123f2b","observation_id":"f6e7aeea-cc7c-4b8e-88f7-11b6bd58409f","resolution":{"observed_at":"2026-05-10T18:15:41.740708Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"31e0a92f-6f9a-418f-96dc-91a34e672ef2","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:b14bc537605b0e437c32831bcc8d0c1800a5f92da262da4b645587b2fe81e9ca","observation_id":"39b1fad9-7e94-4fb9-a4cf-ff1aeb2b6466","resolution":{"observed_at":"2026-05-17T06:21:36.449806Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"2026-06-05T21:23:00.469572Z","title":"(C22), ⟨µ˜xµ˜y⟩⃗m is non- negative in every measurement trajectory ⃗m","venue":null,"work_id":"40deecd6-7010-4382-ad83-9b26354a781e","year":null},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:3ec8427fcd6e53509d7e6128cf8525abaca423ad8132932cdf454c7d8bdaf1b1","observation_id":"df93776a-a598-4196-ae31-4f9f8631ad3e","resolution":{"observed_at":"2026-05-17T06:24:10.653382Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.3472","last_updated":"2008-07-22T13:04:42Z","snapshot_observed_at":"2026-08-01T20:38:04.508605Z","submitted_at":"2008-07-22T13:04:42Z","title":"Conformal Field Theory and Statistical Mechanics","version":1},"cited_work":{"arxiv_id":"0807.3472","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.3472","snapshot_observed_at":"2026-07-01T12:25:43.278339Z","title":"Cardy, Conformal Field Theory and Statistical Mechanics (2008), arXiv:0807.3472 [cond-mat.stat-mech]","venue":"cond-mat.stat-mech","work_id":"b60a4a7d-96ba-4d7f-8f88-e4e138f9cd22","year":2008},"citing_paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-05-10T18:14:03.072394Z"},"links":{"cited_paper":"/paper/0807.3472","citing_paper":"/paper/2604.06324"},"observation_digest":"sha256:b504c00b9efbdc0fdd9207fa24bcc502b254efed62c8a289ef24671a97eb111d","observation_id":"cc3348e6-5bd8-4842-a694-f6f5d7c5bd09","resolution":{"observed_at":"2026-05-11T05:16:03.725353Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.06324","last_updated":"2026-04-07T18:00:43Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-02T22:33:52.235273Z","submitted_at":"2026-04-07T18:00:43Z","title":"Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":36,"verified_exact":16,"verified_fuzzy":48},"total_outbound_references":108},"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":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 100 of 108 outbound references and 3 inbound Pith citation observations for arXiv:2604.06324."}