{"as_of":"2026-08-14T00:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b94e8776e9e241019192136362463603e5417f5fbdef750a9d954dc6ec54b33a","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T20:46:18.208155Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-08T21:17:12.127067Z","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":"2026-07-03T03:47:35.515480Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.19362","snapshot_observed_at":"2026-08-08T21:17:12.127067Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.04876","last_updated":"2025-02-07T12:28:05Z","snapshot_observed_at":"2026-08-08T21:05:16.221184Z","submitted_at":"2025-02-07T12:28:05Z","title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-08T21:17:12.127067Z"},"links":{"cited_paper":"/paper/2501.19362","citing_paper":"/paper/2502.04876"},"observation_digest":"sha256:cf4f46800f12854ba320c728847203db5941ae626e2ec5421fde4b3fe65869e5","observation_id":"b695a015-df96-4541-ae60-aac34cf4623b","resolution":{"observed_at":"2026-08-08T21:17:12.127067Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"cited_work":{"arxiv_id":"2501.19362","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.19362","snapshot_observed_at":"2026-07-03T03:47:35.515480Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","venue":null,"work_id":"7bcc6b2a-6e13-42b7-a4a2-278d81c8bf96","year":2025},"citing_paper":{"arxiv_id":"2604.27904","last_updated":"2026-06-03T14:23:41Z","snapshot_observed_at":"2026-07-06T23:13:15.994987Z","submitted_at":"2026-04-30T14:13:49Z","title":"No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-07T07:12:35.707409Z"},"links":{"cited_paper":"/paper/2501.19362","citing_paper":"/paper/2604.27904"},"observation_digest":"sha256:1433c651f96d57d9dad3912c7c89dabfb823695f604f3ae4890a7461659c8096","observation_id":"d8137407-6f79-403e-aa07-df65f299b8bc","resolution":{"observed_at":"2026-05-12T10:11:28.368303Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"cited_work":{"arxiv_id":"2501.19362","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.19362","snapshot_observed_at":"2026-07-03T03:47:35.515480Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","venue":null,"work_id":"7bcc6b2a-6e13-42b7-a4a2-278d81c8bf96","year":2025},"citing_paper":{"arxiv_id":"2604.27904","last_updated":"2026-06-03T14:23:41Z","snapshot_observed_at":"2026-07-06T23:13:15.994987Z","submitted_at":"2026-04-30T14:13:49Z","title":"No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-08T03:05:01.796889Z"},"links":{"cited_paper":"/paper/2501.19362","citing_paper":"/paper/2604.27904"},"observation_digest":"sha256:2a4f59cc2fa817c92eb5862a4aa4a8dbf548fd7c3a73e0203f629e46876ea041","observation_id":"db62dc69-bba0-43f0-bb4b-cae39312d424","resolution":{"observed_at":"2026-05-11T22:16:49.049160Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"cited_work":{"arxiv_id":"2501.19362","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.19362","snapshot_observed_at":"2026-07-03T03:47:35.515480Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","venue":null,"work_id":"7bcc6b2a-6e13-42b7-a4a2-278d81c8bf96","year":2025},"citing_paper":{"arxiv_id":"2605.11725","last_updated":"2026-05-12T08:09:12Z","snapshot_observed_at":"2026-08-12T20:11:38.076911Z","submitted_at":"2026-05-12T08:09:12Z","title":"A Feynman-Kac Formula for the Subcritical Ultraviolet-Renormalized Spin Boson Model","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-13T05:21:20.804408Z"},"links":{"cited_paper":"/paper/2501.19362","citing_paper":"/paper/2605.11725"},"observation_digest":"sha256:75c7aed462bdd6d08e0e4fc1b6840c52a1fea80b84a6fe62600a602660aff254","observation_id":"7730dce4-b954-4ac2-ac32-ddc99cedc1e8","resolution":{"observed_at":"2026-05-13T05:22:19.255257Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"cited_work":{"arxiv_id":"2501.19362","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.19362","snapshot_observed_at":"2026-07-03T03:47:35.515480Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","venue":null,"work_id":"7bcc6b2a-6e13-42b7-a4a2-278d81c8bf96","year":2025},"citing_paper":{"arxiv_id":"2606.09538","last_updated":"2026-06-08T14:21:46Z","snapshot_observed_at":"2026-08-02T15:21:44.103274Z","submitted_at":"2026-06-08T14:21:46Z","title":"No-Go Theorem for BEC in the Nelson and Pauli--Fierz Models","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-06-27T14:46:58.419262Z"},"links":{"cited_paper":"/paper/2501.19362","citing_paper":"/paper/2606.09538"},"observation_digest":"sha256:d50ea958e0da65d9befc4388bcecc955e8b2a5464ba57e364a692d8fdbde6649","observation_id":"6a10aa89-eb52-4504-91a0-fa4bea19d70c","resolution":{"observed_at":"2026-07-03T03:47:35.516824Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.19362/citation-record","integrity":"/paper/2501.19362/integrity","json":"/paper/2501.19362/citation-record.json","paper":"/paper/2501.19362"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1005.4366","last_updated":"2010-06-15T20:47:44Z","snapshot_observed_at":"2026-07-06T02:10:50.782613Z","submitted_at":"2010-05-24T16:01:51Z","title":"The Ground State Energy of The Massless Spin-Boson Model","version":2},"cited_work":{"arxiv_id":"1005.4366","doi":null,"metadata_source":"pith","pith_arxiv_id":"1005.4366","snapshot_observed_at":"2026-08-09T20:46:18.989936Z","title":"The Ground State Energy of The Massless Spin-Boson Model","venue":"math-ph","work_id":"53029217-34f2-4933-8029-4f806fbbe7e1","year":2010},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:17.973240Z"},"links":{"cited_paper":"/paper/1005.4366","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:123348911b33f351b969e1841a6364db2e210a8e97abd2488d87361792118397","observation_id":"21f44c90-e149-4390-8349-00e215c73e01","resolution":{"observed_at":"2026-08-09T20:46:18.994120Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01007515","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Aizenman, D","venue":"Journal of Statistical Physics","work_id":"182a781e-3e36-4f1a-b6e0-6b16a0fbd0e9","year":1987},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:17.978545Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:1c5e0e8bd3450870b60d2abf9f98bf297f6d06b891f63599f8513f5f70e353a6","observation_id":"6a2eeb42-596c-47d6-96d4-510914d4e161","resolution":{"observed_at":"2026-08-09T20:46:18.440457Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01022985","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Aizenman, J","venue":"Journal of Statistical Physics","work_id":"ce692aeb-7c77-442a-af44-a3e93fb62707","year":1988},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:17.983312Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e469b85f8112d6996c788cdb4004d1e3830e637e52d51e9e22f21a626d7f5ae5","observation_id":"63a13b61-23b4-4b31-b3a7-c72eee7c7ee9","resolution":{"observed_at":"2026-08-09T20:46:18.427774Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:17.987884Z","title":"Arai and M","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:17.987884Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:15b3fc4abb6a869294c1e865914276956187bee019fac5ae04edc904dc3ce758","observation_id":"d0f3fb64-b880-4db8-91d5-0966d4d8206f","resolution":{"observed_at":"2026-08-09T20:46:17.987884Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-09T20:46:17.992299Z","title":"Aizenman, H","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:17.992299Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:ff4e904c6d03faf00a788f8c8713e158aca298f8698a64bc7b2b9748bb4de53e","observation_id":"e7dc7ae7-3512-4ec3-ab3e-25d82af3ead6","resolution":{"observed_at":"2026-08-09T20:46:17.992299Z","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":"2026-08-09T20:46:17.996681Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:17.996681Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:26d09121551b40a63a9f66fe0c60674d94c7a96c2e2c66cf06d28963a2d030b4","observation_id":"9bab2f59-3e84-4822-9342-75755b42a071","resolution":{"observed_at":"2026-08-09T20:46:17.996681Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.08348","last_updated":"2016-05-26T16:05:41Z","snapshot_observed_at":"2026-08-04T17:45:41.861648Z","submitted_at":"2016-05-26T16:05:41Z","title":"Existence of Ground State Eigenvalues for the Spin-Boson Model with Critical Infrared Divergence and Multiscale Analysis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.08348","snapshot_observed_at":"2026-08-09T20:46:18.001334Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.001334Z"},"links":{"cited_paper":"/paper/1605.08348","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:04d71ad967ff568fdc94604fdb4b4210d0dc6bc7a5803f70e7c1d1b3410a0dca","observation_id":"fd0bf7c5-4fb1-4b9e-8eb4-f364b5170283","resolution":{"observed_at":"2026-08-09T20:46:18.001334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1104.3271","last_updated":"2011-06-09T17:43:55Z","snapshot_observed_at":"2026-07-06T02:26:26.439882Z","submitted_at":"2011-04-17T02:17:02Z","title":"The Mass Shell of the Nelson Model without Cut-Offs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1104.3271","snapshot_observed_at":"2026-08-09T20:46:18.005943Z","title":"Bachmann, D.-A","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.005943Z"},"links":{"cited_paper":"/paper/1104.3271","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:1ada709f94a2a84ee7de4a867ee6ba9713dc8f7252c087c90b804762cda9a85f","observation_id":"dd575af0-57cd-4274-802a-3c2b102f4f84","resolution":{"observed_at":"2026-08-09T20:46:18.005943Z","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":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:46:18.954440Z","title":null,"venue":null,"work_id":"a4fe10f3-6004-4f7e-90e1-33c38a3308ee","year":1998},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.010335Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e2de9218e78bc55dd1d82886f6691b6e295ebda6d6c55e4bb19b06f93d817fa0","observation_id":"eedbb424-6e5e-422b-b391-3837f0172e6d","resolution":{"observed_at":"2026-08-09T20:46:18.958125Z","resolver_source":"arxiv_id_nonexistent","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.014094Z","title":"Bloch and A","venue":null,"work_id":null,"year":1937},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.014094Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:70db4fbacdbec9ef805cb5b71cdf88dce420895f4424ff489b1c04839377b799","observation_id":"e3c7ec84-91b5-4c8c-80f2-b4e87b21e1be","resolution":{"observed_at":"2026-08-09T20:46:18.014094Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.06447","last_updated":"2021-06-11T15:04:41Z","snapshot_observed_at":"2026-08-09T00:11:20.454909Z","submitted_at":"2021-06-11T15:04:41Z","title":"A functional central limit theorem for Polaron path measures","version":1},"cited_work":{"arxiv_id":"2106.06447","doi":null,"metadata_source":"pith","pith_arxiv_id":"2106.06447","snapshot_observed_at":"2026-08-09T20:46:18.769617Z","title":"A functional central limit theorem for Polaron path measures","venue":"math.PR","work_id":"544cf8a3-c6c9-47fb-b5a6-a9e4d22a5827","year":2021},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.018453Z"},"links":{"cited_paper":"/paper/2106.06447","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:5089d9eb187530a508500adf55323bd0bec433b1022e5d5ffcc1e538db123c6f","observation_id":"3ac1d7b8-6160-49c9-a0b4-29bd4b2a916a","resolution":{"observed_at":"2026-08-09T20:46:18.773619Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0711.1188","last_updated":"2008-03-15T16:46:45Z","snapshot_observed_at":"2026-07-06T01:31:35.792921Z","submitted_at":"2007-11-08T00:03:51Z","title":"Spatial random permutations and infinite cycles","version":2},"cited_work":{"arxiv_id":"0711.1188","doi":null,"metadata_source":"pith","pith_arxiv_id":"0711.1188","snapshot_observed_at":"2026-08-09T20:46:18.754703Z","title":"Spatial random permutations and infinite cycles","venue":"math-ph","work_id":"a2c92092-6a94-4135-9889-f29356ccafdb","year":2007},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.022730Z"},"links":{"cited_paper":"/paper/0711.1188","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:b3f1bd738462b75552d35220e7fc4164b7b69aa99e78817be9f5e3a9b00eb946","observation_id":"cbdef42a-0fc5-4a10-abef-902ab4dcadb4","resolution":{"observed_at":"2026-08-09T20:46:18.758810Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0601010","last_updated":"2007-02-28T13:14:13Z","snapshot_observed_at":"2026-07-07T06:16:15.329332Z","submitted_at":"2006-01-06T04:20:26Z","title":"Infrared renormalization in non-relativistic QED and scaling criticality","version":3},"cited_work":{"arxiv_id":"math-ph/0601010","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0601010","snapshot_observed_at":"2026-08-09T20:46:18.739650Z","title":"Infrared renormalization in non-relativistic QED and scaling criticality","venue":"math-ph","work_id":"77ed0c95-72bb-4d81-946d-16a07319555f","year":2006},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.027047Z"},"links":{"cited_paper":"/paper/math-ph/0601010","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:6dfbcf98f7fad580964ab3881b38d1e5350e755f57e0ad95326fbc0ed0b8629a","observation_id":"89429eeb-224f-46b0-a309-06fb0cb1b131","resolution":{"observed_at":"2026-08-09T20:46:18.743763Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.00088","last_updated":"2019-09-12T19:39:28Z","snapshot_observed_at":"2026-08-13T07:49:30.535271Z","submitted_at":"2018-07-31T22:14:35Z","title":"Non-existence of ground states in the translation invariant Nelson model","version":2},"cited_work":{"arxiv_id":"1808.00088","doi":null,"metadata_source":"pith","pith_arxiv_id":"1808.00088","snapshot_observed_at":"2026-08-09T20:46:18.723539Z","title":"Non-existence of ground states in the translation invariant Nelson model","venue":"math-ph","work_id":"13292734-7d99-4162-bf5a-cf82278c3508","year":2018},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.031134Z"},"links":{"cited_paper":"/paper/1808.00088","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:db06b7b2b98af3344bc41e11a744563f4994dc0c6795d3165226455d93dccd78","observation_id":"831a4f8d-c1f2-4a6c-a79e-73bf96cda46c","resolution":{"observed_at":"2026-08-09T20:46:18.728039Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1502.03050","last_updated":"2018-01-21T14:37:51Z","snapshot_observed_at":"2026-08-13T21:22:53.087176Z","submitted_at":"2015-02-10T19:47:55Z","title":"A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model","version":3},"cited_work":{"arxiv_id":"1502.03050","doi":null,"metadata_source":"pith","pith_arxiv_id":"1502.03050","snapshot_observed_at":"2026-08-09T20:46:18.707787Z","title":"A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model","venue":"math.PR","work_id":"5af2cd67-08fe-4ee0-a317-d9204c98c1d7","year":2015},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.035216Z"},"links":{"cited_paper":"/paper/1502.03050","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:ba5c31379a947a2db52edfb056f9c3e0c2dc2c0abc1f67d5f3dda7607299343e","observation_id":"178f15e6-7259-417d-b623-b64621da5687","resolution":{"observed_at":"2026-08-09T20:46:18.711948Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00023-004-0177-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Derezi\\' n ski and C","venue":"Annales Henri Poincaré","work_id":"4f7b7865-ce4b-4397-aae9-42adff463e7e","year":2004},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.039170Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:133fc0051c80e9b0ea3419491320ec1b9952f991312716a11628f956ef17b837","observation_id":"7ac4e0bf-9f05-4c62-ae7d-994e665d617e","resolution":{"observed_at":"2026-08-09T20:46:18.386324Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.07661","last_updated":"2022-07-01T14:39:28Z","snapshot_observed_at":"2026-08-13T16:35:14.782659Z","submitted_at":"2019-09-17T09:03:53Z","title":"Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.07661","snapshot_observed_at":"2026-08-09T20:46:18.043395Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.043395Z"},"links":{"cited_paper":"/paper/1909.07661","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:40ff476fbd871b2040a97f50602565b22fc73889e95999216492f58dd8efd2b9","observation_id":"96c78990-8519-4cef-80aa-afa528ce83a2","resolution":{"observed_at":"2026-08-09T20:46:18.043395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.00085","last_updated":"2018-11-04T13:14:49Z","snapshot_observed_at":"2026-07-06T06:53:23.469814Z","submitted_at":"2018-07-31T22:10:20Z","title":"Asymptotics in Spin-Boson type models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.00085","snapshot_observed_at":"2026-08-09T20:46:18.047687Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.047687Z"},"links":{"cited_paper":"/paper/1808.00085","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:79018bf3b845d4a2671f39723e4f39141aac449e197befc00e58f11001005c86","observation_id":"9c00b1e7-ec69-4577-9697-a0f8eed3a883","resolution":{"observed_at":"2026-08-09T20:46:18.047687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.05812","last_updated":"2018-11-04T13:17:24Z","snapshot_observed_at":"2026-08-07T02:14:05.228395Z","submitted_at":"2018-03-15T15:37:00Z","title":"Spin-Boson type models analysed using symmetries","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.05812","snapshot_observed_at":"2026-08-09T20:46:18.052242Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.052242Z"},"links":{"cited_paper":"/paper/1803.05812","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e8087438f23543495d68c859cedfa1c681976c2a18bc3aa958390f2efe24a840","observation_id":"c60aff90-a5c7-4845-a517-672077394182","resolution":{"observed_at":"2026-08-09T20:46:18.052242Z","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":"2026-08-09T20:46:18.056468Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.056468Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:b5fd39520ed9a3a900d84625e06490ad7bd74f46934faf95e434f483ffd0a674","observation_id":"d5525e03-c7e9-45ef-98ad-adf2c9d79acb","resolution":{"observed_at":"2026-08-09T20:46:18.056468Z","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":"2026-08-09T20:46:18.060581Z","title":"Fannes and B","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.060581Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:abf9de25c9a720369b8cc01c2f830132e7728760820c07eec1276bc5098f6bf4","observation_id":"32d5fb35-1443-49bc-abc1-fa61c60730d4","resolution":{"observed_at":"2026-08-09T20:46:18.060581Z","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":"2026-08-09T20:46:18.064982Z","title":"Fr \\\"o hlich","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.064982Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:ed15aa4db6830b2e0609c78f389cccacd2df66346fe43a3088c4ced078297c67","observation_id":"14e9dffa-7b94-4767-b152-e4a965652500","resolution":{"observed_at":"2026-08-09T20:46:18.064982Z","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":"2026-08-09T20:46:18.069133Z","title":"Fr \\\" o hlich","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.069133Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:4cea8e83bca2eda1b6d72e1dfc55f6eac80cb2db7ee70c30c6b41e0e3b361541","observation_id":"dd69edcd-f779-47cc-acd4-d1aa6b3c28c3","resolution":{"observed_at":"2026-08-09T20:46:18.069133Z","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":"2026-08-09T20:46:18.073747Z","title":"Fr\\\" o hlich and T","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.073747Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:12bd816ea729742e81f0b606bbc92a5ae8c8827fa54abc570791ada1bd7b756a","observation_id":"aea270c1-483c-44e2-8f64-fc1f70aa5f74","resolution":{"observed_at":"2026-08-09T20:46:18.073747Z","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":"2026-08-09T20:46:18.077847Z","title":"Friedli and Y","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.077847Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e6784b2949de157741935115343e42d41b656fd910354059f24dec004a6b0b46","observation_id":"19bc7273-e45a-43aa-a071-ca8b901e2187","resolution":{"observed_at":"2026-08-09T20:46:18.077847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.04934","last_updated":"2015-10-16T16:28:14Z","snapshot_observed_at":"2026-07-06T04:33:21.124930Z","submitted_at":"2015-10-16T16:28:14Z","title":"New theoretical approaches to Bose polarons","version":1},"cited_work":{"arxiv_id":"1510.04934","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.04934","snapshot_observed_at":"2026-08-09T20:46:18.662312Z","title":"New theoretical approaches to Bose polarons","venue":"cond-mat.quant-gas","work_id":"16d01ddb-e890-4a0b-ae5e-691369019df4","year":2015},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.082149Z"},"links":{"cited_paper":"/paper/1510.04934","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:172588a7f772c7da56f7a8d1259d92a815c1ab6a06a682712e310ec7e4b5f2ce","observation_id":"447cfe30-33d1-4181-937a-a4a498828312","resolution":{"observed_at":"2026-08-09T20:46:18.666362Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.086533Z","title":"G \\' e rard","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.086533Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:d9a82e3c7bb68e3f6ff06d47f53b81163a38c14fb70534c98c0720ec1afddf20","observation_id":"3bf2b4fe-11b5-4e7c-bc17-c489f2aa1820","resolution":{"observed_at":"2026-08-09T20:46:18.086533Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0007014","last_updated":"2001-03-02T23:52:50Z","snapshot_observed_at":"2026-07-07T06:12:30.674409Z","submitted_at":"2000-07-11T01:25:51Z","title":"Ground States in Non-relativistic Quantum Electrodynamics","version":2},"cited_work":{"arxiv_id":"math-ph/0007014","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0007014","snapshot_observed_at":"2026-08-09T20:46:18.647304Z","title":"Ground States in Non-relativistic Quantum Electrodynamics","venue":"math-ph","work_id":"397f59fc-b8ef-4620-92d3-9b41ec12201a","year":2000},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.090427Z"},"links":{"cited_paper":"/paper/math-ph/0007014","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:700046a87d14021963f174e4329156c0b5a956bdee6e86c5bef48f110d078e47","observation_id":"b69dda7f-612f-49bf-862f-177c69dc8b92","resolution":{"observed_at":"2026-08-09T20:46:18.651113Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0702096","last_updated":"2007-02-28T01:45:21Z","snapshot_observed_at":"2026-07-07T06:17:16.830109Z","submitted_at":"2007-02-28T01:45:21Z","title":"Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED","version":1},"cited_work":{"arxiv_id":"math-ph/0702096","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0702096","snapshot_observed_at":"2026-08-09T20:46:18.632198Z","title":"Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED","venue":"math-ph","work_id":"2d84ce84-2e26-4716-87f4-708eede7d3e7","year":2007},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.094806Z"},"links":{"cited_paper":"/paper/math-ph/0702096","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:745af10598097decd8d3b3c20c0f625b86ef53d4775387515d58110c5abd0734","observation_id":"f03a6e98-f8d5-4751-b05c-a8616a732752","resolution":{"observed_at":"2026-08-09T20:46:18.636164Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1003.5923","last_updated":"2010-08-27T12:51:41Z","snapshot_observed_at":"2026-07-06T02:05:55.356926Z","submitted_at":"2010-03-30T20:45:20Z","title":"Ground States in the Spin Boson Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1003.5923","snapshot_observed_at":"2026-08-09T20:46:18.099129Z","title":"Hasler and I","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.099129Z"},"links":{"cited_paper":"/paper/1003.5923","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:94f296b7d12e80d4da306276f20dc48660d27cb4a29623a85976a0efef2e9da6","observation_id":"22885f6b-2b55-4035-bf1b-e521b8293166","resolution":{"observed_at":"2026-08-09T20:46:18.099129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.5521","last_updated":"2014-04-07T09:25:43Z","snapshot_observed_at":"2026-08-13T04:09:59.479823Z","submitted_at":"2012-09-25T07:41:54Z","title":"Spin-Boson Model through a Poisson-Driven Stochastic Process","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.5521","snapshot_observed_at":"2026-08-09T20:46:18.103519Z","title":"Hirokawa, F","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.103519Z"},"links":{"cited_paper":"/paper/1209.5521","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e37be7bb46003c6bcf935dc3946d4055e97a8fa3eb77290a2d1311693a004931","observation_id":"8444bbaf-4465-44d5-b1ba-c62a61043de7","resolution":{"observed_at":"2026-08-09T20:46:18.103519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13373","last_updated":"2021-02-26T09:49:27Z","snapshot_observed_at":"2026-08-10T19:34:32.589894Z","submitted_at":"2021-02-26T09:49:27Z","title":"On Existence of Ground States in the Spin Boson Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13373","snapshot_observed_at":"2026-08-09T20:46:18.107962Z","title":"Hasler, B","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.107962Z"},"links":{"cited_paper":"/paper/2102.13373","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:51cf46d0a7df29019f4cedc4922fc9cbbbb8cf30f320de9c308ff5c9a6593320","observation_id":"8527b3d0-1f0e-409e-8234-d2867a58d8d8","resolution":{"observed_at":"2026-08-09T20:46:18.107962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.03013","last_updated":"2021-04-07T09:35:41Z","snapshot_observed_at":"2026-08-13T19:44:22.572823Z","submitted_at":"2021-04-07T09:35:41Z","title":"Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model","version":1},"cited_work":{"arxiv_id":"2104.03013","doi":null,"metadata_source":"pith","pith_arxiv_id":"2104.03013","snapshot_observed_at":"2026-08-09T20:46:18.583797Z","title":"Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model","venue":"math-ph","work_id":"e0ca29e9-500a-462f-ab86-6dd562b2efe0","year":2021},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.112233Z"},"links":{"cited_paper":"/paper/2104.03013","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:97279d944286b73a50fdbf38c03844c65ff4ee5e6cb2e9b3b4dbbc4198fab360","observation_id":"c222729f-ab15-4bea-94ff-045293e00e32","resolution":{"observed_at":"2026-08-09T20:46:18.587969Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.08659","last_updated":"2022-04-21T07:56:46Z","snapshot_observed_at":"2026-08-13T21:44:35.334752Z","submitted_at":"2021-06-16T09:48:18Z","title":"FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.08659","snapshot_observed_at":"2026-08-09T20:46:18.116510Z","title":"Hasler, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.116510Z"},"links":{"cited_paper":"/paper/2106.08659","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:4cbb35952f09a109df74e254aa1f2f724d562e0f5b5deccbaaa916b83a0f85df","observation_id":"005170a4-f270-49e2-8fd2-a645a57ecadf","resolution":{"observed_at":"2026-08-09T20:46:18.116510Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.06998","last_updated":"2024-01-26T15:15:25Z","snapshot_observed_at":"2026-08-13T12:44:47.202688Z","submitted_at":"2023-02-14T12:10:48Z","title":"Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively","version":2},"cited_work":{"arxiv_id":"2302.06998","doi":null,"metadata_source":"pith","pith_arxiv_id":"2302.06998","snapshot_observed_at":"2026-08-09T20:46:18.556850Z","title":"Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively","venue":"math-ph","work_id":"9d2ac88d-1bcf-48d6-b08b-32993ed7ef49","year":2023},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.121039Z"},"links":{"cited_paper":"/paper/2302.06998","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:8530e1d6111a5a70bc1da527c76ee1c6370a095f5d0934cf6f0ebf29811d1dcc","observation_id":"44ec65cd-9912-4e37-87d2-d3e229830973","resolution":{"observed_at":"2026-08-09T20:46:18.561679Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.125045Z","title":"Hinrichs","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.125045Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:fe3e928076facf278d7902e87d3a28ec9c2488536f3de2db28faeeccb9c08718","observation_id":"61363420-953f-494e-a9d8-b0fca46921ea","resolution":{"observed_at":"2026-08-09T20:46:18.125045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.00287","last_updated":"2022-04-01T08:41:03Z","snapshot_observed_at":"2026-08-13T16:10:23.786303Z","submitted_at":"2022-04-01T08:41:03Z","title":"Existence of Ground States in the Infrared-Critial Spin Boson Model","version":1},"cited_work":{"arxiv_id":"2204.00287","doi":null,"metadata_source":"pith","pith_arxiv_id":"2204.00287","snapshot_observed_at":"2026-08-09T20:46:18.541320Z","title":"Existence of Ground States in the Infrared-Critial Spin Boson Model","venue":"math-ph","work_id":"63fd8120-a3c3-4317-a207-d83c02d4da65","year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.129356Z"},"links":{"cited_paper":"/paper/2204.00287","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:cfc527a36123f93a66ea33e08dedba476ab9aaef195ab9c1c47dcc411c754f21","observation_id":"e2ea61ca-8560-4d97-84a8-45c1ebb56bb5","resolution":{"observed_at":"2026-08-09T20:46:18.545602Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.05361","last_updated":"2025-02-03T13:53:41Z","snapshot_observed_at":"2026-08-13T05:29:10.554261Z","submitted_at":"2023-11-09T13:40:31Z","title":"A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.05361","snapshot_observed_at":"2026-08-09T20:46:18.133832Z","title":"Hinrichs and J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.133832Z"},"links":{"cited_paper":"/paper/2311.05361","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:1e36b0a1e053c9f4b25745f57f142bdbeb71944a4066ea181c338cbb93fefacb","observation_id":"67d1a0d2-746d-43cf-bc81-bf11cb955a58","resolution":{"observed_at":"2026-08-09T20:46:18.133832Z","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":"2026-08-09T20:46:19.002437Z","title":"Hinrichs, J","venue":null,"work_id":"c0e271e4-9e8c-43bf-ac06-0847a30e94fb","year":null},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.138232Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:4f90812461502e17addb8e7f034a7422866a8b40c0505d999eb10d1984c2165c","observation_id":"4de2f42c-5993-4e92-8621-e6a67962e4dc","resolution":{"observed_at":"2026-08-09T20:46:19.006425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.12024","last_updated":"2021-09-20T10:07:53Z","snapshot_observed_at":"2026-08-06T07:52:22.182511Z","submitted_at":"2019-03-28T14:54:39Z","title":"Ground states and associated path measures in the renormalized Nelson model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.12024","snapshot_observed_at":"2026-08-09T20:46:18.143539Z","title":"Hiroshima and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.143539Z"},"links":{"cited_paper":"/paper/1903.12024","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:67a9926508a9f3ae71c2577a2dff7bba59982a99d14d49acc9ac8905f9ce7af2","observation_id":"0dee137a-0da3-405f-8033-9bd8bb37e851","resolution":{"observed_at":"2026-08-09T20:46:18.143539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.01250","last_updated":"2021-07-02T15:15:24Z","snapshot_observed_at":"2026-08-02T18:14:38.517341Z","submitted_at":"2020-07-02T17:00:57Z","title":"Ground States for translationally invariant Pauli-Fierz Models at zero Momentum","version":2},"cited_work":{"arxiv_id":"2007.01250","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.01250","snapshot_observed_at":"2026-08-09T20:46:18.505075Z","title":"Ground States for translationally invariant Pauli-Fierz Models at zero Momentum","venue":"math-ph","work_id":"85d126b3-38ce-4526-b491-3e847919dab1","year":2020},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.147804Z"},"links":{"cited_paper":"/paper/2007.01250","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:7ada999c0145ea4f41b459e85a2465171a54fbea5b972cae7ad62a36f704c742","observation_id":"e37aed9a-681d-4981-9062-afbbd6cb5c21","resolution":{"observed_at":"2026-08-09T20:46:18.509387Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.151950Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.151950Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:9323f2d51ab52ce29b3614a6cd66ba5eaf851df483bc29635c0fe7e89713d264","observation_id":"329c914f-5fd3-48a0-ad5a-60145b86fd74","resolution":{"observed_at":"2026-08-09T20:46:18.151950Z","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":"10.1007/bf00736004","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Kallenberg","venue":"Probability Theory and Related Fields","work_id":"aac9ec60-e67b-4e54-8254-1a33f66b6d4b","year":1973},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.156177Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e9ed0d84c2f645629bb961812a58b75ae12cd155b5e60f46b66902cea03e1f2b","observation_id":"0afec868-ff8b-42fc-b747-c7836cb842d5","resolution":{"observed_at":"2026-08-09T20:46:18.320470Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.160053Z","title":"Kallenberg","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.160053Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:41d4b3490a563ac53ba67a380929c62f8bcc426da35548c933122319fa41d0d5","observation_id":"e38af7d0-e4da-4850-89db-fd390bf1de60","resolution":{"observed_at":"2026-08-09T20:46:18.160053Z","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":"10.1515/9783110330397","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"L o rinczi, F","venue":null,"work_id":"25c28aaf-e8d9-4b7d-8802-266f50c333e1","year":2020},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.164036Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:17b1b5a028cb20e97ba7026c30c6025128b226cdb4f09d458390234f4b8a577c","observation_id":"e978822d-b769-44b9-a045-06260f8a6823","resolution":{"observed_at":"2026-08-09T20:46:18.301278Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.14727","last_updated":"2025-05-26T10:34:14Z","snapshot_observed_at":"2026-08-13T18:21:09.718561Z","submitted_at":"2023-07-27T09:31:16Z","title":"Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.14727","snapshot_observed_at":"2026-08-09T20:46:18.167754Z","title":"Lill and D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.167754Z"},"links":{"cited_paper":"/paper/2307.14727","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:bc9553cb81cdd37adc35f0f1c7aa04b8b7563104bf33f644995c0c7a2ea1ab52","observation_id":"5ff01f32-bcf2-4a52-a1aa-6f325a9aecfb","resolution":{"observed_at":"2026-08-09T20:46:18.167754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0011043","last_updated":"2000-11-27T13:15:30Z","snapshot_observed_at":"2026-07-07T06:12:40.433247Z","submitted_at":"2000-11-27T13:15:30Z","title":"The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field","version":1},"cited_work":{"arxiv_id":"math-ph/0011043","doi":null,"metadata_source":"pith","pith_arxiv_id":"math-ph/0011043","snapshot_observed_at":"2026-08-09T20:46:18.478593Z","title":"The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field","venue":"math-ph","work_id":"da117079-2ff7-4cf3-bc0b-536bdfa7e160","year":2000},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.171904Z"},"links":{"cited_paper":"/paper/math-ph/0011043","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:e298c0a2ad5e114ea5c684235c300d201c257cb72d1797215e4b993b639e5339","observation_id":"2b6cf7ad-4e11-4922-9574-800efbd2a0b0","resolution":{"observed_at":"2026-08-09T20:46:18.483023Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.06121","last_updated":"2022-05-06T14:22:57Z","snapshot_observed_at":"2026-08-13T17:35:39.727574Z","submitted_at":"2021-11-11T09:47:04Z","title":"Generalized spin-boson models with non-normalizable form factors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.06121","snapshot_observed_at":"2026-08-09T20:46:18.175820Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.175820Z"},"links":{"cited_paper":"/paper/2111.06121","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:ce7b75a713b779f6831afc12fb31788408aff2caca81bc3d97aa515f198a9e9b","observation_id":"2dec5dc8-ac92-4433-9081-9e66d73589bf","resolution":{"observed_at":"2026-08-09T20:46:18.175820Z","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":"2026-08-09T20:46:18.179736Z","title":"Last and M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.179736Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:7affd2f88587727e695a9d8940abbdae96f160ae764d7f50ff08d32a4cdaa01e","observation_id":"257fa1a5-e3d6-4aad-8c1b-dfcce650cd5f","resolution":{"observed_at":"2026-08-09T20:46:18.179736Z","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":"2026-08-09T20:46:18.183602Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.183602Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:bf50921ae31377932df380b9a61f4f71a7ffe47731dd4b69e5e1d1c51f2daab7","observation_id":"ba2ec0d4-1333-4b1e-bd24-99c1f34324f8","resolution":{"observed_at":"2026-08-09T20:46:18.183602Z","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":"2026-08-09T20:46:18.187767Z","title":null,"venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.187767Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:578ce6b2a5a5285167268ab7f417afaa260c0500e6089b5578a983c06ffac11e","observation_id":"7800bf7f-3757-48ca-a775-79390df5afc5","resolution":{"observed_at":"2026-08-09T20:46:18.187767Z","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":"10.1007/bf01211064","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Communications in Mathematical Physics","work_id":"31458f22-c6ca-4233-8f0b-c728669553f0","year":1986},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.192109Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:724837510b277742b43290153357a5db7a6b34ef9a6200f11e60ea997c1d68ca","observation_id":"ad5cce96-7c17-4638-a8c4-4a51596f1ff1","resolution":{"observed_at":"2026-08-09T20:46:18.266913Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.196045Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.196045Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:ffd9e00a01980cd0cd005419ddd6a0144b5fb79cea825714692230e7bc18be73","observation_id":"c1c13079-2e4c-4f16-9529-259ba50484f5","resolution":{"observed_at":"2026-08-09T20:46:18.196045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.14425","last_updated":"2022-07-21T21:16:39Z","snapshot_observed_at":"2026-08-13T15:14:25.965466Z","submitted_at":"2022-06-29T06:50:35Z","title":"Renewal approach for the energy-momentum relation of the Fr\\\"ohlich polaron","version":2},"cited_work":{"arxiv_id":"2206.14425","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.14425","snapshot_observed_at":"2026-08-09T20:46:18.452257Z","title":"Renewal approach for the energy-momentum relation of the Fr\\\"ohlich polaron","venue":"math-ph","work_id":"23c7e7e6-8421-4b8c-8c5f-23db1a8aa4ad","year":2022},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.200122Z"},"links":{"cited_paper":"/paper/2206.14425","citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:d0ab37a8466b041e2b2c3d095227476e8819369a78354f9133c1e3fa4514ead6","observation_id":"ea3ccc47-903c-43e9-973b-9134f802c35a","resolution":{"observed_at":"2026-08-09T20:46:18.457723Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:46:18.204330Z","title":"Spohn and R","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.204330Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:2697140928a4240a3caf08f1869498ea841efd3eb06cef7e44abb253d7d9b529","observation_id":"f4640035-ac83-483a-ac8b-83d772c08fbb","resolution":{"observed_at":"2026-08-09T20:46:18.204330Z","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":"2026-08-09T20:46:18.208155Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-09T20:46:18.208155Z"},"links":{"citing_paper":"/paper/2501.19362"},"observation_digest":"sha256:bd780fae109dd454eac52fcee62923e5d0deeb57db17aa8f0c8dab6459f87876","observation_id":"66375af7-f847-4891-9628-dcb82567727f","resolution":{"observed_at":"2026-08-09T20:46:18.208155Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.19362","last_updated":"2025-01-31T18:12:48Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-13T21:21:06.376381Z","submitted_at":"2025-01-31T18:12:48Z","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":22,"verified_fuzzy":1},"total_outbound_references":56},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 5 inbound Pith citation observations for arXiv:2501.19362."}