{"as_of":"2026-08-05T23:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:862b41f0181d7a6314fdf44970e1a6b5269b52827d7c22ae97f82da9dfe933a4","coverage":[{"denominator":122,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T10:23:56.249264Z","state":"measured"},{"denominator":105,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":105,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T13:38:01.301761Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T20:40:08.030889Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.04391","snapshot_observed_at":"2026-08-04T13:38:01.301761Z","title":"& Gong, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.26620","last_updated":"2026-05-29T06:16:39Z","snapshot_observed_at":"2026-08-05T12:21:58.708529Z","submitted_at":"2025-09-30T17:55:55Z","title":"Amplified response of cavity-coupled quantum-critical systems","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T13:38:01.301761Z"},"links":{"cited_paper":"/paper/2509.04391","citing_paper":"/paper/2509.26620"},"observation_digest":"sha256:89fa161c1cdfff335ade20de8748eadd07b8a3497577375961456aa20db0d31d","observation_id":"f0bc8432-a3c4-4d3b-84c3-121cb282169a","resolution":{"observed_at":"2026-08-04T13:38:01.301761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"cited_work":{"arxiv_id":"2509.04391","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.04391","snapshot_observed_at":"2026-07-04T20:40:08.030889Z","title":"Unilateral criticality and phase transition in the cavity- ising model,","venue":null,"work_id":"101d38b9-0892-47b9-964e-6dd2f0bce974","year":2025},"citing_paper":{"arxiv_id":"2603.22416","last_updated":"2026-04-03T17:13:40Z","snapshot_observed_at":"2026-08-01T19:17:30.434610Z","submitted_at":"2026-03-23T18:00:19Z","title":"Dicke materials as a resource for quantum squeezing","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-05-15T00:23:32.759773Z"},"links":{"cited_paper":"/paper/2509.04391","citing_paper":"/paper/2603.22416"},"observation_digest":"sha256:40972f7ee4dc726d96bd5cac08d44b3a7eec06e37571241500194f90f377d85f","observation_id":"99a6726d-bdf9-4413-ae53-5ffdcdff9789","resolution":{"observed_at":"2026-05-15T00:28:23.623230Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"cited_work":{"arxiv_id":"2509.04391","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.04391","snapshot_observed_at":"2026-07-04T20:40:08.030889Z","title":"Unilateral criticality and phase transition in the cavity- ising model,","venue":null,"work_id":"101d38b9-0892-47b9-964e-6dd2f0bce974","year":2025},"citing_paper":{"arxiv_id":"2605.24061","last_updated":"2026-05-22T03:00:37Z","snapshot_observed_at":"2026-08-03T05:56:17.560675Z","submitted_at":"2026-05-22T03:00:37Z","title":"Universal classification of continuous phase transitions with two order parameters","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-30T15:18:08.847642Z"},"links":{"cited_paper":"/paper/2509.04391","citing_paper":"/paper/2605.24061"},"observation_digest":"sha256:f8fc8b0f3ead3ca3ba87735dfd6f7eb29405680014a85243bf4c261f9e54d101","observation_id":"56357890-8c47-4569-9d8b-d22368d87c1f","resolution":{"observed_at":"2026-06-30T15:24:50.134520Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"cited_work":{"arxiv_id":"2509.04391","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.04391","snapshot_observed_at":"2026-07-04T20:40:08.030889Z","title":"Unilateral criticality and phase transition in the cavity- ising model,","venue":null,"work_id":"101d38b9-0892-47b9-964e-6dd2f0bce974","year":2025},"citing_paper":{"arxiv_id":"2605.27484","last_updated":"2026-06-01T15:37:20Z","snapshot_observed_at":"2026-08-05T11:12:56.661663Z","submitted_at":"2026-05-26T13:04:17Z","title":"Quantum criticality of the ferromagnetic Dicke-Ising model","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-29T15:40:12.870279Z"},"links":{"cited_paper":"/paper/2509.04391","citing_paper":"/paper/2605.27484"},"observation_digest":"sha256:5e63aba2d353965736ac4c64b2a064060bb499f0def3d0048d3776c06cdb9fb0","observation_id":"450204d8-58f0-47b2-8fe3-6473dd6d96a5","resolution":{"observed_at":"2026-06-29T15:43:32.601070Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"cited_work":{"arxiv_id":"2509.04391","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.04391","snapshot_observed_at":"2026-07-04T20:40:08.030889Z","title":"Unilateral criticality and phase transition in the cavity- ising model,","venue":null,"work_id":"101d38b9-0892-47b9-964e-6dd2f0bce974","year":2025},"citing_paper":{"arxiv_id":"2606.26081","last_updated":"2026-06-24T17:55:04Z","snapshot_observed_at":"2026-07-07T00:00:26.827253Z","submitted_at":"2026-06-24T17:55:04Z","title":"Folds of one curve: the superradiant phase diagram of Dicke modes with interacting matter","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-06-25T19:51:56.593136Z"},"links":{"cited_paper":"/paper/2509.04391","citing_paper":"/paper/2606.26081"},"observation_digest":"sha256:d0bcfe57933d806a3c5ecfd2c6ebd4c6ea72c48f6417cabdea2691cadd460855","observation_id":"c6668566-6d84-41e0-aca5-62a3c8b0a367","resolution":{"observed_at":"2026-07-04T20:40:08.032470Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.04391/citation-record","integrity":"/paper/2509.04391/integrity","json":"/paper/2509.04391/citation-record.json","paper":"/paper/2509.04391"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.945655Z","title":"(3) into a spinless fermion model [68–70], which can be solved analytically by writingHin the momentum space [67–70]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.945655Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:c9b0d6b6e77849acbd7301c8a4c4d1a1afc0565ff448089e585d664111dd4e4a","observation_id":"7efff7bf-11e3-4cce-b364-335848c2965c","resolution":{"observed_at":"2026-08-05T10:23:55.945655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.949242Z","title":"Coherence in spontaneous radiation pro- cesses,","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.949242Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:23f3525667df05465be1dc22a0df17c02c389e578ade8602dfddf1ac0ddcfdf0","observation_id":"24089809-f9d0-477b-9260-edea9cf6d3fd","resolution":{"observed_at":"2026-08-05T10:23:55.949242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.952231Z","title":"Phase transition in the Dicke model of superradiance,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.952231Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:611a549107147debdabd8e54f603ab2b0299bed18f74e7a57e66f926ee8052cd","observation_id":"41b18d77-fe88-4462-a9c6-44002fbcc5f8","resolution":{"observed_at":"2026-08-05T10:23:55.952231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.955242Z","title":"Phase transitions in some generalized Dicke models of superradiance,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.955242Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:1c1b73ab127bbf5d8b15c19966cfaf4cf6e083c3aaef74ad6025c4d52aa12e64","observation_id":"dc4c0eec-8edd-4ce0-a446-65d52834594d","resolution":{"observed_at":"2026-08-05T10:23:55.955242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.957960Z","title":"Exact so- lution for ann-molecule—radiation-field hamiltonian,","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.957960Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:711a041ccbda2ce6836e7735d3ad1d67548ef7cf2473528b127cfae90b5a08ac","observation_id":"1782fcec-bc43-43f7-a807-4b8eb0901048","resolution":{"observed_at":"2026-08-05T10:23:55.957960Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.960776Z","title":"Effect of antiresonant atom-field interactions on phase transitions in the Dicke model,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.960776Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:dbd882142c3985b142253c9a17f0a5c2617f3858960aa0c8e1b2edf083ce7b37","observation_id":"351dffa7-611c-4075-b938-3435d36591d5","resolution":{"observed_at":"2026-08-05T10:23:55.960776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.963592Z","title":"Behavior of the par- tition function of Dicke type models in the limit of a large number of atoms,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.963592Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:85e95a5ef34f6f70e3847bb72dfeda9584086f111892e5b35214dcef059c0e7f","observation_id":"af83b51b-b80a-4c1d-85ae-42d7d996afc7","resolution":{"observed_at":"2026-08-05T10:23:55.963592Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.966537Z","title":"The func- tional integration method and diagram technique for spin systems,","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.966537Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:20f910cf2293b255b8130897cb2f12d25732b8ed01981cf47dc586790ff945f6","observation_id":"2d89673e-382c-49d6-a9fe-b1bf98e0b57a","resolution":{"observed_at":"2026-08-05T10:23:55.966537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.969165Z","title":"Adequacy of the Dicke model in cavity QED: A counter-no-go state- ment,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.969165Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:a58207bad2144092593697a0c90d9c9b93b229ef27f7b0eac07a68aabd6e3057","observation_id":"084baecd-2928-4005-8776-b1b47fc2235c","resolution":{"observed_at":"2026-08-05T10:23:55.969165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.971755Z","title":"Phase transitions, two-level atoms, and theA 2 term,","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.971755Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:86a6407f123fc15ef6b855cc2a47188bc45f946f2d87214d7f6bbd373707c8c8","observation_id":"2b63f116-9d18-47dc-a7a7-29fbf540461b","resolution":{"observed_at":"2026-08-05T10:23:55.971755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.974388Z","title":"Realization of the Dicke model using cavity-assisted Raman transi- tions,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.974388Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:d0d824c322d9b28c757674453ad38a10077d2bd98c9e775ed9667a8dd6aed90b","observation_id":"75883206-0677-4f84-9aef-674bee034db1","resolution":{"observed_at":"2026-08-05T10:23:55.974388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.977107Z","title":"Dicke-model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.977107Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:1d1b51140b3e60c2542151555d6863b8ea093b181cd8f238852269f79a01281a","observation_id":"016f1eae-ab45-46cd-a9bd-a3c68d7927d9","resolution":{"observed_at":"2026-08-05T10:23:55.977107Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.979797Z","title":"Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.979797Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:8c328c404d7bb39efb05cd23c52a24907cfd5bf73014547388a7e6c1f221194a","observation_id":"a262ee12-045c-4e8c-8503-86b8c9bcd4c0","resolution":{"observed_at":"2026-08-05T10:23:55.979797Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.982407Z","title":"Dicke quantum phase transition with a superfluid gas in an optical cavity,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.982407Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:d2892306539628d14a2a64c3e3109c6789f7797973550894f7f7b1ab34a91f10","observation_id":"ae2c94d5-43a1-4bcd-aa0e-5df5c170c378","resolution":{"observed_at":"2026-08-05T10:23:55.982407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.985453Z","title":"Chaos and the quan- tum phase transition in the Dicke model,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.985453Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:dafed1c37b10e9c4369f4f529d857fd38fbd040f34ab74206ed21d30eb9842d3","observation_id":"6ecf971c-6564-4ad4-9cb6-cf9add93257c","resolution":{"observed_at":"2026-08-05T10:23:55.985453Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.988052Z","title":"On the superradiant phase transition for molecules in a quantized radiation field: the Dicke maser model,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.988052Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:e98ecf581c654d8a38cd70fdb95469ef00b80e76f974e3659d3b5115b4ca0c2c","observation_id":"516414df-306b-4233-bb91-d81a2abe1724","resolution":{"observed_at":"2026-08-05T10:23:55.988052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.990553Z","title":"Quantum chaos trig- gered by precursors of a quantum phase transition: the Dicke model,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.990553Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:fae669c18880cc2637befbbd795091c3ed29643ad0d17a45d4d060627ae3e240","observation_id":"7be41780-1c98-4d72-b21f-ab743221671a","resolution":{"observed_at":"2026-08-05T10:23:55.990553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.993012Z","title":"Quan- tum phase transition in the Dicke model with critical and noncritical entanglement,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.993012Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:58d4fa8bac76d81df2641906f5be25e92a00a5eac22f4288c38b3ea57e1c547c","observation_id":"1fe84772-f265-40a1-8e8d-43a785263fe8","resolution":{"observed_at":"2026-08-05T10:23:55.993012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.995684Z","title":"Superradiance: An essay on the theory of collective spontaneous emission,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.995684Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:9c7f3fc619966605d94ee044d8ecb85073105ce0082726b79de23cb3a2d0ebaf","observation_id":"2ae164cb-23f5-42c4-b2c3-30c437557517","resolution":{"observed_at":"2026-08-05T10:23:55.995684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:55.998305Z","title":"Critical expo- nent of a quantum-noise-driven phase transition: The 6 open-system Dicke model,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:55.998305Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:cde06c7ba3570d29018e832fd6c0bc8cbb0563437c426bcf7a795afe2909c6c8","observation_id":"177f0508-8b33-4b5e-8232-96564bd87be0","resolution":{"observed_at":"2026-08-05T10:23:55.998305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.000724Z","title":"Critical exponent of quan- tum phase transitions driven by colored noise,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.000724Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:751f6da6fd8f5d2063aa7eb3a18ba85ab2768d813abb34cc40eefcc4f2343dd4","observation_id":"5c8c7580-de60-46b4-a26d-a20bb8759fb7","resolution":{"observed_at":"2026-08-05T10:23:56.000724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.003200Z","title":"Exploring symmetry breaking at the Dicke quantum phase transition,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.003200Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:f5ff6a47f2f456f2365b6adde2634b48d3c0335617760c461575892fce160317","observation_id":"8bd2b380-9b9f-4af7-9a25-5a5951e9d0a8","resolution":{"observed_at":"2026-08-05T10:23:56.003200Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.005815Z","title":"Dynamical phase transition in the open Dicke model,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.005815Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:4b3c7dce5e7678e4700b89400f88db8a75ab893da057ba06b665e801ea92fb56","observation_id":"0d1e77be-6d25-4d94-a31d-415c01051805","resolution":{"observed_at":"2026-08-05T10:23:56.005815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.008456Z","title":"Nonequilibrium phase transition in a spin-1 Dicke model,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.008456Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:e5270c287c2f66f0aabad720a6807e6ef87a54486f7d2330ee1ce7a34fa917f0","observation_id":"eb1e2750-9b57-459c-b88a-4cfb57645fe3","resolution":{"observed_at":"2026-08-05T10:23:56.008456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.011078Z","title":"Dicke-model simulation via cavity-assisted Raman transitions,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.011078Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:dc7f3870b8e70dd3d3f1adaf6e0b9e79edbd68b4491e9bcaa6a3425c31d0f42f","observation_id":"8204e259-247e-4176-83a2-8a9ed2e15de2","resolution":{"observed_at":"2026-08-05T10:23:56.011078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.013801Z","title":"Cold atoms in cavity-generated dynamical optical potentials,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.013801Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:2c8d879a15ec152b3356f5bf35442ebd07acf4886ba6ddadcf5661d8adc7c690","observation_id":"dfc3a888-751b-4a71-a347-4469b139925e","resolution":{"observed_at":"2026-08-05T10:23:56.013801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.017162Z","title":"Ver- ification of a many-ion simulator of the Dicke model through slow quenches across a phase transition,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.017162Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:7e4c0d562486fa8956c607915451784462d5a9e1458775df4de1d923fb029a7b","observation_id":"8b70abaf-b85e-432c-9560-4dd43972d920","resolution":{"observed_at":"2026-08-05T10:23:56.017162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.020167Z","title":"Digital-analog quantum simulation of generalized Dicke models with superconducting cir- cuits,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.020167Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:a3869c9e881da4d89ef6e6e3527b9511c1fabdfd0974b3b1a7c37655634bc33a","observation_id":"d81826d0-3997-420c-81c6-83cbd47ce8d0","resolution":{"observed_at":"2026-08-05T10:23:56.020167Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.022890Z","title":"Digital quantum Rabi and Dicke models in superconducting circuits,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.022890Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:fa08dec2d4cbdae192b3665e9d004a874797237f864905527281a4118440e8db","observation_id":"3c6aebfe-5705-44d3-8724-c9d9e6505434","resolution":{"observed_at":"2026-08-05T10:23:56.022890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.025792Z","title":"Experimentally simulating the dynamics of quantum light and matter at deep-strong coupling,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.025792Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:28b6bf1167bac5c84a2979aacff767ec2e53d565368b68ef1b8b8c615f5c6c01","observation_id":"6ebcbafb-d175-472c-a362-1bb2d48aaea5","resolution":{"observed_at":"2026-08-05T10:23:56.025792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.028588Z","title":"Experimental quantum sim- ulation of superradiant phase transition beyond no-go theorem via antisqueezing,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.028588Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:02caa3815a668a0f506c0f24d70df87f3d742c317a909b62c9dc459c19674c4a","observation_id":"0c263b80-46b7-43a9-a612-454b31573299","resolution":{"observed_at":"2026-08-05T10:23:56.028588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.031549Z","title":"Observation of Dicke cooperativity in magnetic interactions,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.031549Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:5caa32a51bdaf63073a0b58da7c7c64a3c04a791d8a6400efed4195482f02ec1","observation_id":"67fff335-0843-44c6-a592-a762418c89c9","resolution":{"observed_at":"2026-08-05T10:23:56.031549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.034601Z","title":"Quantum simulation of an extended dicke model with a magnetic solid,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.034601Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:1bbfe5d3f07a8eb44bbe27dd1cd05a02320ad8790a43d560dc1b352469af9dbf","observation_id":"01fa798d-fdc5-4f6a-bfec-b778810bf663","resolution":{"observed_at":"2026-08-05T10:23:56.034601Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.037507Z","title":"Obser- vation of the magnonic dicke superradiant phase tran- sition,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.037507Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:ae63b1bbd8562c695298273095f17dff2a6cab8b79fa9c925a55abb8fc24e824","observation_id":"5757fd0c-0159-43d8-b1b0-25e07ef5ae1d","resolution":{"observed_at":"2026-08-05T10:23:56.037507Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.041140Z","title":"Tricritical Dicke model with and without dissipation,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.041140Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:be53865fbbb54ad4512fc45bb6d48c62213675b5e67808c0bc064c84c6cf30e2","observation_id":"c54279f7-c52f-45f0-8d93-f6ca3a6d3b7c","resolution":{"observed_at":"2026-08-05T10:23:56.041140Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.044590Z","title":"Emergent universality in a quantum tricritical Dicke model,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.044590Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:f9476586253d68a943d102ae4aa7a3294599dc94b2ea6ec8169fc067be89dea2","observation_id":"11faf24d-3ebd-45d5-9c21-d1f0cac89f57","resolution":{"observed_at":"2026-08-05T10:23:56.044590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.047591Z","title":"Mul- ticriticality and quantum fluctuation in a generalized Dicke model,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.047591Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:b4ae51d3f44c3eb017ba44a4f9e1054516364ff6cd771f856b28e9c7e5554edd","observation_id":"634f9ac6-e979-4668-b433-ae17a434167f","resolution":{"observed_at":"2026-08-05T10:23:56.047591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.051411Z","title":"Quantum Phase Transition and Universal Dy- namics in the Rabi Model,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.051411Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:4d9c48a6394daf2a1a4e5ee7107bd937aa7a28a7a074f628503bc02dcfbe0a7f","observation_id":"ea7b3c18-c901-4ea1-b3fa-5390791bab60","resolution":{"observed_at":"2026-08-05T10:23:56.051411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.055057Z","title":"Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.055057Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:13bba5acedfc579410a805fc9360746e232e41319b0930d6b175830ba6af8211","observation_id":"24aa0187-6abf-44b1-9f0e-f5a6120d5aa2","resolution":{"observed_at":"2026-08-05T10:23:56.055057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.058212Z","title":"Quantum Phase Transi- tions for an Integrable Quantum Rabi-like Model with Two Interacting Qubits,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.058212Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:17141c1f9c1af24c8b267c20bd83d7368c6994a71d3c8d8851e850ad69066d39","observation_id":"530c3bee-8e82-4496-a45f-6ce18fb89721","resolution":{"observed_at":"2026-08-05T10:23:56.058212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.061267Z","title":"Univer- sal Scaling and Critical Exponents of the Anisotropic Quantum Rabi Model,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.061267Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:66b51154ceabc258a53972aee8fb74fef5494f1552c0d147df03285cbafbf941","observation_id":"db64b341-2740-4ff0-b7e0-c36f9fcc60be","resolution":{"observed_at":"2026-08-05T10:23:56.061267Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.064910Z","title":"Excited-state quantum phase transition in the Rabi model,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.064910Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:34e23efa6dcbc38c37cf667ea5c51d6392cfeb1c83eb26d1b98c5d7d7311a1fc","observation_id":"46ce6bf6-58ee-4c5d-ab4d-3ba94f222ac8","resolution":{"observed_at":"2026-08-05T10:23:56.064910Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.367895Z","title":"Quantum Simulation of the Quantum Rabi Model in a Trapped Ion,","venue":null,"work_id":"b123be58-fb11-4849-acd3-03480af19263","year":2018},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.068755Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:fe834e93bd346e307d43f4e095d53c9aa134b272ca3d5120a2b2b27f6cf59e5b","observation_id":"b7cfe329-22ef-4251-9f1b-3cb51239cce5","resolution":{"observed_at":"2026-08-05T10:23:57.371525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.357885Z","title":"The quantum Rabi model: solution and dynamics,","venue":null,"work_id":"229c3793-cea7-441f-b95c-352e31c5ff21","year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.072350Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:bcd14c8f79584a9632b85a51e1bc4b8b939dd682796b058c86c6ca82c9529790","observation_id":"3ab43062-17a4-4d7c-996c-ce903ed2b7f6","resolution":{"observed_at":"2026-08-05T10:23:57.361400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.348732Z","title":"Integrability of the Rabi Model,","venue":null,"work_id":"574b7a91-e3b6-432c-8d5c-9bb0508652eb","year":2011},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.075442Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:657b7920bc010d614775c906e94d293160691fcf7efa06bdbc7f419ae7e2bf5e","observation_id":"32a106af-60d8-4173-aeb1-401759aad81d","resolution":{"observed_at":"2026-08-05T10:23:57.352005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.338372Z","title":"Superradiance transition in a system with a single qubit and a single oscillator,","venue":null,"work_id":"f43d8bd6-5147-4681-b359-8c13392a56a1","year":2013},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.078875Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:03d5619486ea918812443f1b3ccb1f50ebcf2d4880a9132bc706c154bb2abccf","observation_id":"face9fed-8d5f-408c-8909-a0429271bbf8","resolution":{"observed_at":"2026-08-05T10:23:57.341902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.328502Z","title":"Universality class and exact phase boundary in the superradiant phase transition,","venue":null,"work_id":"fe0034a0-3995-415d-bb20-b113484bb659","year":2021},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.082119Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:23a9f7d9083dccfd6b5ddfdf5aefd0a2e2dc0c165ffd49cee7c8d05049e07a60","observation_id":"a89b5949-2b79-473a-835c-514051430710","resolution":{"observed_at":"2026-08-05T10:23:57.331816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.318943Z","title":"Cavity Quantum Eliashberg Enhancement of Super- conductivity,","venue":null,"work_id":"5d942216-de55-40af-8026-9aab48e2e851","year":2019},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.085369Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:1e567e7c0735b7d025dc602531bd110ab7d12bc02651068a624e21b29e8c1680","observation_id":"c653fe64-2c6a-4ab7-a20d-0d8ed38c9cb4","resolution":{"observed_at":"2026-08-05T10:23:57.322294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.309154Z","title":"Cavity-mediated electron-photon superconductivity,","venue":null,"work_id":"b3d00543-60e2-481d-bc00-1efaf774cbe9","year":2019},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.088439Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:27fd2a056538e78140485f0fc8bdc7a90a7beed1e1d11eb12337c2c99d878ff0","observation_id":"63254ef0-504b-4fdc-8e69-895b810e471a","resolution":{"observed_at":"2026-08-05T10:23:57.312837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.299188Z","title":"Breakdown of topological protection by cavity vacuum fields in the integer quantum hall ef- fect,","venue":null,"work_id":"464dd186-d77c-4c75-911d-f3a8591b60b7","year":2022},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.091773Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:5cfebb0a0092bb5ec58fef8cf0ab1638eae26976aa5513f487a0033b84f8c7fd","observation_id":"c62158ab-4a13-4a11-a21f-1f9f828ed6f4","resolution":{"observed_at":"2026-08-05T10:23:57.302574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.288829Z","title":"Dynamic phase tran- sitions of a driven Ising chain in a dissipative cavity,","venue":null,"work_id":"79f1638d-e9fa-43b5-9146-5dc20ad3f473","year":2016},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.094751Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:dd7fb49dda27e80edf3feefe5121e8071a5e8f80298ad3faa22aea2f9032ae82","observation_id":"a2184c1a-6c1e-409d-a4ea-bccd4b894a55","resolution":{"observed_at":"2026-08-05T10:23:57.292640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.278207Z","title":"Quantum phase tran- sition of nonlocal Ising chain with transverse field in a resonator,","venue":null,"work_id":"9014bcee-b136-4770-a911-a3cbd1f4f97b","year":2014},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.098180Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:cb2b7506032d9fc78db4f99cb573011b3c2a52a29809006e480a56b4aa75d887","observation_id":"975a0948-1b7d-4f97-aa8c-51bde5349973","resolution":{"observed_at":"2026-08-05T10:23:57.281834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.267434Z","title":"Phase transi- tions and Heisenberg limited metrology in an Ising chain interacting with a single-mode cavity field,","venue":null,"work_id":"b8261a74-1585-4f27-ab61-847fa702d210","year":2011},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.101050Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:544de8313f82e085e43641580361d025b5eb67f52778524b0a20785acc98660d","observation_id":"5cbd5285-381d-403e-b05b-b1f2a9887328","resolution":{"observed_at":"2026-08-05T10:23:57.271215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.257359Z","title":"Bound polariton states in the Dicke–Ising model,","venue":null,"work_id":"b9011578-189c-45d9-b5b3-78a9fddc1a91","year":2053},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.103890Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:ee27a0285aee9bd45816423ae27288ff93a2a7602cf736ed3daf27603e5ffd6d","observation_id":"ffd817a9-859a-4e5e-b5af-cff5a89575bd","resolution":{"observed_at":"2026-08-05T10:23:57.261055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.106841Z","title":"Linear response theory for cavity QED materials at arbitrary light-matter coupling strengths,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.106841Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:2e865d6aa9e3ef0e9d7055e76057449e8b5fe2f38e6af0879050eb2bf2b84a9b","observation_id":"4088e3a9-5571-494f-a2cc-b35002dcf5a9","resolution":{"observed_at":"2026-08-05T10:23:56.106841Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.109857Z","title":"Quantum phase diagrams of Dicke- Ising models by a wormhole algorithm,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.109857Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:f947e3088bd517313bc1be628d5fac87d6be7981aebf831ead7e76cf89f7be31","observation_id":"44561b58-390c-403d-aad1-dd07e351902a","resolution":{"observed_at":"2026-08-05T10:23:56.109857Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.246016Z","title":"The free energyFis independent of the sign ofJ","venue":null,"work_id":"2cd42d23-f40e-4aca-a147-804f1f5f6c0b","year":null},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.113421Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:6d93b263bac1edc477e917e3763b5b139f775b58ca5b18e78e65625a2cadc9c9","observation_id":"35682aa0-3f20-4268-8aca-083cd93486bd","resolution":{"observed_at":"2026-08-05T10:23:57.250252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.234898Z","title":"Simulating quantum spin models using Rydberg-excited atomic ensembles in magnetic micro- trap arrays,","venue":null,"work_id":"879cea10-f5bf-44aa-8d96-11ae949b2302","year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.116445Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:4126f0a1d9aa8606254974084ececaeb869efc24fe326ce7843ff7b8a2ef06b3","observation_id":"8c152a2f-335f-4c54-a68d-a760aaee2739","resolution":{"observed_at":"2026-08-05T10:23:57.238848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.223248Z","title":"Towards quantum simulation with circular Rydberg atoms,","venue":null,"work_id":"21080f42-c11f-4235-bbb1-65f01ecbebd7","year":2018},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.119415Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:708c572b4550110224f335a5a6e3dfa2b03aa5f4e8927386865853cf4abd712e","observation_id":"376ba5b2-5071-49dc-801a-a95d7f446833","resolution":{"observed_at":"2026-08-05T10:23:57.227220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.212245Z","title":"Glassy Dynamics in a Disordered Heisenberg Quantum Spin System,","venue":null,"work_id":"3f63c634-f2f1-41f3-9995-432b70ad9bc6","year":2021},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.122416Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:059cb7f41a777d5d06a2cd66cf3403ea53e1c28e9d704cc46ccbd3dfa27ced32","observation_id":"90c625f5-8989-4243-8cc0-047ad383dd4f","resolution":{"observed_at":"2026-08-05T10:23:57.215842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.200747Z","title":"Controlling spin exchange interactions of ultracold atoms in optical lattices,","venue":null,"work_id":"cbd94063-7a4c-40e5-adc3-6fd44d62b0e5","year":2003},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.125385Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:f21081a693db81452d4793765094db0aa9174d3d74936425cb898b4a39f0740a","observation_id":"64c72f0f-7c39-4a3a-80fe-a3432664b68a","resolution":{"observed_at":"2026-08-05T10:23:57.204450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.188992Z","title":"Spin transport in a tunable Heisenberg model realized with ultracold atoms,","venue":null,"work_id":"0bd08957-1304-4fd7-8b78-06cd7e7e97af","year":2020},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.128324Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:e61fe7a1f8b8de70a76a375df4cfa5947c302f56e6789599e85fa64f163f4d2b","observation_id":"aff49169-5389-43cf-9481-4568480a773c","resolution":{"observed_at":"2026-08-05T10:23:57.193252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.178344Z","title":"Engineered nearest-neighbor interactions with doubly modulated optical lattices,","venue":null,"work_id":"b147d90e-6be9-4ff9-82d1-adc0ae85fda7","year":2019},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.131794Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:2d82bb551438db31497210cfa6a4e229487cf446190c78ee7a168e48e4ce0ba3","observation_id":"e986f2ca-f8f3-4a62-9f26-50c7b39c35bf","resolution":{"observed_at":"2026-08-05T10:23:57.182149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.167855Z","title":"Superfluid, Mott- insulator, and mass-density-wave phases in the one- dimensional extended Bose-Hubbard model,","venue":null,"work_id":"c53d0120-72e9-4420-9c17-c7bb826152e4","year":2005},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.134836Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:cbe647a300aab00aa431143bdc063e3974da3edd910f2ebec5e1b92c19090efd","observation_id":"5a6641e3-5208-4368-ba8e-62c5a09aac06","resolution":{"observed_at":"2026-08-05T10:23:57.171784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.157407Z","title":"Towards analog quantum simulations of lattice gauge theories with trapped ions,","venue":null,"work_id":"ccadb270-8f36-4b54-bc8c-bd92ac29796d","year":2020},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.137917Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:080d0d415f12906819fd47af0af28cdcedf207ea6c4240be1b7b75c47b8f3d0d","observation_id":"a083ccc6-b0b0-4aac-bd75-353bf253f634","resolution":{"observed_at":"2026-08-05T10:23:57.161008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.147471Z","title":"Mean-field theory of superradiant phase transition in complex networks,","venue":null,"work_id":"12a64a1e-57df-4e45-a822-448904ee7c64","year":2021},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.140801Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:618debd9d7dd683277cc7173fc27863eb60f21f629b9943150dfdd9836aee262","observation_id":"b891d4b1-25e7-42c8-9e62-48c317541aa1","resolution":{"observed_at":"2026-08-05T10:23:57.150885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.144275Z","title":"Numerically exact solution to the finite-size Dicke model,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.144275Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:80b9969a9132e748721949ad1bb184b613e57f844b7139ea289c7e50823c3fea","observation_id":"11f9b0b3-2b1c-49df-87a0-1147301d75f6","resolution":{"observed_at":"2026-08-05T10:23:56.144275Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.147522Z","title":"(Cambridge University Press, 2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.147522Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:3c48387539d822c72124637514d93c8a6cca74d085f7fa4b404b3933d0b23c50","observation_id":"32eba518-f6af-430f-b896-1941a6c7d977","resolution":{"observed_at":"2026-08-05T10:23:56.147522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.124700Z","title":"Statistical mechanics of the XY model. i,","venue":null,"work_id":"e7d2bc7b-3b1a-4295-b26d-40e3b64934b4","year":1970},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.150510Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:72a946ea6d46e36ff4c45326b6463f1287368e6017791024db184fe1cb36d95a","observation_id":"5ba43aeb-b460-416f-b495-71dad5b56bcc","resolution":{"observed_at":"2026-08-05T10:23:57.127830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.114770Z","title":"816 (Springer, 2010)","venue":null,"work_id":"5268b4fa-e1f3-4d5a-aebb-487492a55ef2","year":2010},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.153838Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:24c1d03fa6dc10b5e6dc80a5761a0c0216b271dbe18a5f5e48b90e76f3372a27","observation_id":"5046149e-76af-401c-a53d-5696e34f32ca","resolution":{"observed_at":"2026-08-05T10:23:57.118209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.104852Z","title":"940 (Springer, 2017)","venue":null,"work_id":"79ab6b9f-5031-4c9f-95d7-2e954e0c27d2","year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.156779Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:38677da3e9e11b19af6bc94bfd517f5240cc75ee98db99d4ca2bfcd05a1ba3b2","observation_id":"d4bf79f1-2fd8-418d-ac04-1c23e88b8608","resolution":{"observed_at":"2026-08-05T10:23:57.108326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.095204Z","title":"Generalized scaling hypothesis in multicomponent sys- tems. i. classification of critical points by order and scaling at tricritical points,","venue":null,"work_id":"60855c5d-f40b-4a65-82dc-2cf1b75b5897","year":1973},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.159659Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:3dfbd08403abee635f38d7f87c8199e676ec747049580e0cd1903e716bee970e","observation_id":"c23c13ee-e449-462b-9a87-6a33daab2673","resolution":{"observed_at":"2026-08-05T10:23:57.098865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.084274Z","title":"Geometric predictions of scaling at tricritical points,","venue":null,"work_id":"75ea071d-32c7-4ba1-92b7-a0d026349ebc","year":1972},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.162634Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:bff72cf1245a092b6f77fdf3831761a3e137671293eb6c999ef2248f3cc29fa5","observation_id":"afd5d925-5200-4815-af3c-588fdb7456e5","resolution":{"observed_at":"2026-08-05T10:23:57.088756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.074667Z","title":"Phase diagrams and higher-order critical points,","venue":null,"work_id":"4870b2d8-7aca-427b-a487-b4daf52988ae","year":1975},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.166002Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:1e16b7fba10a72fa7dc2dc329ccf1941c4e3ceb4660da39d00836b4b0a98124b","observation_id":"310334dd-7658-4f83-aa50-f7cd4e1fb020","resolution":{"observed_at":"2026-08-05T10:23:57.078157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.064724Z","title":"Renormalization-group calculation of the critical-point exponentηfor a critical point of arbitrary order,","venue":null,"work_id":"8fa01b67-6a10-44d1-80a5-ccb8a59d77d7","year":1975},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.169331Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:7f318d56716cd0bb35e139447613a6fb5b88487999cab2b540b6484be700d35d","observation_id":"3e2740c9-bf9b-473f-bf29-0a8ffc584635","resolution":{"observed_at":"2026-08-05T10:23:57.068563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.054742Z","title":"Scaling approach to tricritical phase transitions,","venue":null,"work_id":"f4d67b3a-17a0-41ef-bd26-ef99e2ecd175","year":1972},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.172471Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:75ce9f3fd4c632a2ea8275405adaf792df288b11ca3e5a5f53248938e81cdbed","observation_id":"2d322fe6-b4fe-4c33-a3ea-f1ec79450b93","resolution":{"observed_at":"2026-08-05T10:23:57.058588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.044243Z","title":"Differ- ential renormalization-group generators for static and dynamic critical phenomena,","venue":null,"work_id":"0c6a37e3-f688-457a-8e2f-9744d2b07369","year":1992},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.176077Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:fb20694704c2f3fe7a2c0344d5db94e66c5f4b27754b23539e6241867a9b674b","observation_id":"c6604a35-000f-4e9b-a721-0acd872c0d64","resolution":{"observed_at":"2026-08-05T10:23:57.047760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.033408Z","title":"Thermodynamics near the two- fluid critical mixing point in He 3 - He 4,","venue":null,"work_id":"3be2cabb-feb0-49f8-b4e8-c017368ab19d","year":1970},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.179109Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:642b01499e8fc482dcf17d47d840a46cfb83ee654e51ca1e9206141673e19603","observation_id":"fb57b42e-3d8e-494c-9dc0-98a79ebfafc1","resolution":{"observed_at":"2026-08-05T10:23:57.036912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.023187Z","title":"Dissipation-induced anomalous multicritical phenom- ena,","venue":null,"work_id":"a2888869-658b-4d43-99b1-edd8083e03d9","year":2018},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.182196Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:b7b9c38759f7f33321ca436c4673b7096dbc08368488bd748dc8e7540c41cbfc","observation_id":"484a9de4-cb9a-44c0-9072-2ef02ba6f5f5","resolution":{"observed_at":"2026-08-05T10:23:57.027324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.013035Z","title":"Universal critical behavior in the Dicke model,","venue":null,"work_id":"12b46af5-d0bb-45c6-8d6a-f3fe25acdfb4","year":2012},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.185290Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:6d11ac797d418aef68cbc6a3762335cd758afeb80836809db248b1dd1c9145ea","observation_id":"cfe319b1-d3ba-4b62-a90d-77efdfc0f8b5","resolution":{"observed_at":"2026-08-05T10:23:57.016861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:57.003057Z","title":"Multicrit- ical behavior in dissipative Ising models,","venue":null,"work_id":"d6fcb8b5-688d-4d3e-ad73-593cb2273603","year":2017},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.188646Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:4cef357799c575e322c792a700ff5390b6498a11a455149d3e871cf357ee6878","observation_id":"a88f1e3f-18cb-443c-805a-66037af0d5c4","resolution":{"observed_at":"2026-08-05T10:23:57.006567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.993379Z","title":"5 (Elsevier, 2013)","venue":null,"work_id":"3f8f1bc9-f2cd-4a12-9a6f-312478530367","year":2013},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.191850Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:3a6f8afb41ede7e9d07621a0de6eb8dab77e609fcca8013546a27702c40667a5","observation_id":"2a891e3c-4456-4221-8ce6-52048fad7313","resolution":{"observed_at":"2026-08-05T10:23:56.996932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.983764Z","title":"Universality and interfaces at critical end points,","venue":null,"work_id":"174014be-a629-46b4-8794-2dd3fe1d2d08","year":1990},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.195035Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:0a520f41e525828f91ad68f651a6f0807b5229b33c434328c876daa6d6c4b1c6","observation_id":"f97b30e5-5b37-4baa-bdc8-cec2e08eab2f","resolution":{"observed_at":"2026-08-05T10:23:56.987337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.974314Z","title":"Ferroelectric 8 nematic-isotropic liquid critical end point,","venue":null,"work_id":"2f5e8859-3661-4330-b1d1-fe532a3d3c3b","year":2023},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.198712Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:4f1812fe5b4c1988fb3868b6677aaaff2389802c46e135cee0ae2e8796d5acb7","observation_id":"b217be05-47b0-45a4-b515-8f9e95ca64da","resolution":{"observed_at":"2026-08-05T10:23:56.977829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.964624Z","title":"Phase behaviour of metastable water,","venue":null,"work_id":"ef0c1295-a938-4fe9-a764-c3475fb1a3b6","year":1992},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.201649Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:c5d239f90c4c766b307c7b93966a26c0bcd4e3f917587a1ca3ca83166130a35c","observation_id":"32f211c3-8528-47e3-8b16-f15e3b288d56","resolution":{"observed_at":"2026-08-05T10:23:56.968098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.954228Z","title":"A Quantum Critical Line Bounds the High Field Metamagnetic Transition Sur- face in UTe2,","venue":null,"work_id":"6bd4bc2f-bf8f-435f-b8ed-feff3fa81393","year":2025},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.204769Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:c67aad372eadd825e95e557dff32f0a7328f75cef89ced42042de574c081bd52","observation_id":"166444a2-a01f-4b07-9caf-547749fa4521","resolution":{"observed_at":"2026-08-05T10:23:56.958022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.943396Z","title":"Magnetic field-tuned quantum criticality in the metallic ruthen- ate Sr3Ru2O7,","venue":null,"work_id":"4285e087-6271-4b14-8306-149bb58accd6","year":2001},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.207709Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:b5ac407af57a3507ed29b713761da213e22370630174593e4c5c8b18c924e06d","observation_id":"14aebda2-3c9b-44d2-86a1-202dc440e13f","resolution":{"observed_at":"2026-08-05T10:23:56.947568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.933835Z","title":"Entropy landscape of phase formation associated with quan- tum criticality in Sr 3Ru2O7,","venue":null,"work_id":"0dc6df01-dbf7-4728-907e-0de65bd8da63","year":2009},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.210473Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:5e9caa1cd67927f03cd5e5ff1bf2c5bbe7b3874a96432bb0ffe4e3950ad7e018","observation_id":"ddf9d5d0-94a7-4ae3-94f3-99d934d05d44","resolution":{"observed_at":"2026-08-05T10:23:56.937408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.923489Z","title":"Liquid–liquid critical point in supercooled silicon,","venue":null,"work_id":"b6dfc091-ccdb-4b58-86f5-bec5da94d7a6","year":2011},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.213327Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:a3074dd679112cedd508c3d74e5a93537372ae0a7b0fa4092d3916174afe9ceb","observation_id":"6c0dce40-0ace-4727-9838-93fe58ddea66","resolution":{"observed_at":"2026-08-05T10:23:56.926979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.913727Z","title":null,"venue":null,"work_id":"821ca185-a114-4de7-aeca-fc87b2b9c581","year":null},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.216271Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:790752e14da28642adf93f4709955c617b2d2e5d882882c45933f008f274f745","observation_id":"1c561524-f524-476f-ac1b-552324ea9317","resolution":{"observed_at":"2026-08-05T10:23:56.917189Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.903314Z","title":"Mixed-Order Phase Transition in a One-Dimensional Model,","venue":null,"work_id":"da5e6e9b-485d-4f01-86af-7cedcead9f64","year":2014},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.219575Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:755254b0b99e37cfac4bde24f605aa6801c5192c6862c7ab48648f16b10965d2","observation_id":"25abcc39-f5c7-4cd9-a10f-4996db526a18","resolution":{"observed_at":"2026-08-05T10:23:56.907378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.892882Z","title":"Long-Range Order in One-Dimensional Ising Systems,","venue":null,"work_id":"e1daf558-28b2-4612-b103-aad79a13e049","year":1969},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.223038Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:3c89b729c0320d18b9da80fb262189038cc176748ab4561105cde1345e37ce4d","observation_id":"c53a1327-6342-41bf-8e0a-44e2e34bea4f","resolution":{"observed_at":"2026-08-05T10:23:56.897135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.882927Z","title":"Discontinuity of the magne- tization in one-dimensional 1/¦x- y¦2 Ising and Potts models,","venue":null,"work_id":"3789524f-05f5-46c9-a2d7-20243ec425d9","year":1988},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.226133Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:f94f6079c5e0071eed95a4868a9679b871f5e5b4bd0f40442ae598b085dc636d","observation_id":"dbe4896a-c76d-4b26-92a1-bd24c9742d35","resolution":{"observed_at":"2026-08-05T10:23:56.886651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.870774Z","title":"Corrections to Scaling Laws,","venue":null,"work_id":"a1cc216c-1500-4d03-b95e-05e0cc5d85c7","year":1972},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.229243Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:8a3a127b5490d86d151de441b563d539c869cfd3caef6db423900e14ec15b9af","observation_id":"f28bf4ba-5a47-49ce-8ab5-dd4e6c2a361c","resolution":{"observed_at":"2026-08-05T10:23:56.874892Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.860554Z","title":"Logarithmic Corrections to the Molecular-Field Behavior of Criti- cal and Tricritical Systems,","venue":null,"work_id":"1618ecc4-1c89-4423-aea7-835c4b79a54e","year":1973},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.232133Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:1e8d06b12365750842380fc1fbc0cde8debf32750b29f55d6e03191d11e86556","observation_id":"359d3df0-17f5-473d-962d-37ba69f44d1b","resolution":{"observed_at":"2026-08-05T10:23:56.864092Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.850922Z","title":"Two-Dimensional Ising Model,","venue":null,"work_id":"1efc87bd-d5ca-44d4-a688-c4b94b5557a2","year":2016},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.236032Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:9e6c1b6d8fe2cb755dda3399b41e3bb0dff299a13c51a291a7fe7cab5d1e98c4","observation_id":"31a3441d-e134-4505-b10b-9be63169f90a","resolution":{"observed_at":"2026-08-05T10:23:56.854171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.841245Z","title":"Long-range interacting quantum systems,","venue":null,"work_id":"689dbec5-3086-467a-8583-1198613e3d1a","year":2023},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.239166Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:54702d85473b1b0dc311da35af9039320ddcec504c133fe1e55ddccdea3a7a8c","observation_id":"125e06b8-c17a-4208-90c2-38a33e341315","resolution":{"observed_at":"2026-08-05T10:23:56.844683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.830770Z","title":"Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations,","venue":null,"work_id":"ea90af96-db50-49ef-a1d0-9d2a1f88efbe","year":2021},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.242210Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:92430c3c599705bb8efcbc0115d61a6f0de327ebb2485b3fcd5169b63c97dfc7","observation_id":"51668a55-1076-478d-bdb9-1a3de1d99111","resolution":{"observed_at":"2026-08-05T10:23:56.834292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.820392Z","title":"Dynamical symme- try breaking in asymptotically free field theories,","venue":null,"work_id":"66364f2c-6052-4d4f-b337-772fabf8cccc","year":1974},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.245992Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:e79db73b5c742fb7385add88270fc86771b1f1ba23fe5aa881c6a6dc10784c90","observation_id":"21931685-44cb-4efb-9aa0-bf26af374ed7","resolution":{"observed_at":"2026-08-05T10:23:56.823918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:23:56.810238Z","title":"Liftshitz-point critical be- haviour toO(ϵ 2),","venue":null,"work_id":"6e1d35f5-97f7-4ced-aa42-947e2e463bcd","year":2001},"citing_paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model","version":2},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-05T10:23:56.249264Z"},"links":{"citing_paper":"/paper/2509.04391"},"observation_digest":"sha256:fefdda9bbfe947722f8973ecc5f11628bb94413080741f8413f9a89971d186e9","observation_id":"c28affb8-aec6-44b8-baef-a5ba85591c59","resolution":{"observed_at":"2026-08-05T10:23:56.813545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.04391","last_updated":"2025-09-05T16:20:07Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-05T10:23:55.126146Z","submitted_at":"2025-09-04T17:03:19Z","title":"Unilateral Criticality and Phase Transition in the Cavity-Ising Model"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":47,"verified_exact":0,"verified_fuzzy":53},"total_outbound_references":122},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 100 of 122 outbound references and 5 inbound Pith citation observations for arXiv:2509.04391."}