{"as_of":"2026-08-08T02:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c213e89038701a77488341f8077cef75282558a6d7c49311f8dd6e6783070af0","coverage":[{"denominator":90,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":90,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T18:56:05.872791Z","state":"measured"},{"denominator":103,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":103,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":13,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-30T20:05:23.704719Z","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":"2026-07-01T23:26:23.445565Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2511.13821","last_updated":"2026-04-16T14:45:09Z","snapshot_observed_at":"2026-08-02T01:36:38.647371Z","submitted_at":"2025-11-17T19:00:02Z","title":"Skeleton of isometric Tensor Network States for Abelian String-Net Models","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-17T21:27:20.233185Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2511.13821"},"observation_digest":"sha256:e6f2d7b284c467bf32424cca0e5850708c664b1659a03b1e70b187e5ec756c6f","observation_id":"6f1e1001-5574-4a14-a3c2-43ff97936e2a","resolution":{"observed_at":"2026-05-17T21:30:18.385826Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2602.13095","last_updated":"2026-05-05T15:28:48Z","snapshot_observed_at":"2026-07-06T22:45:49.118915Z","submitted_at":"2026-02-13T17:00:07Z","title":"Theory of Steady States for Lindblad Equations beyond Time-Independence: Classification, Uniqueness and Symmetry","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-05-15T22:24:16.900357Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2602.13095"},"observation_digest":"sha256:7134c81331459855d8f824a7e07e54c985f6475afba41da409ca2db5be667e04","observation_id":"1d170aac-d27f-4011-adda-beb008c43a17","resolution":{"observed_at":"2026-05-15T22:26:44.605061Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2603.06363","last_updated":"2026-04-15T16:00:47Z","snapshot_observed_at":"2026-07-06T22:48:08.821342Z","submitted_at":"2026-03-06T15:13:25Z","title":"Universal Dynamical Scaling of Strong-to-Weak Spontaneous Symmetry Breaking in Open Quantum Systems","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-15T15:05:15.022629Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2603.06363"},"observation_digest":"sha256:07979b9c601ddef19908b568ac85a41d35635395a8e69e31460199883edc6b20","observation_id":"3ecd1d24-07ba-4536-ab09-3f2c4da2f3a3","resolution":{"observed_at":"2026-05-15T15:06:09.740226Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2604.16137","last_updated":"2026-04-17T15:09:07Z","snapshot_observed_at":"2026-08-02T12:38:40.837593Z","submitted_at":"2026-04-17T15:09:07Z","title":"Observation of Strong-to-Weak Spontaneous Symmetry Breaking in a Dephased Fermi Gas","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T07:06:07.240171Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2604.16137"},"observation_digest":"sha256:e290090f3c3d2d0c224f5d480cf1908092d0cb678319c0865cc702d82827e91a","observation_id":"35f2545f-3667-4879-95e5-843c33105d02","resolution":{"observed_at":"2026-05-10T07:06:52.717731Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2604.27074","last_updated":"2026-04-29T18:06:34Z","snapshot_observed_at":"2026-08-04T00:21:22.045695Z","submitted_at":"2026-04-29T18:06:34Z","title":"Long-lived local quantum coherences from hydrodynamic large deviations","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-07T09:22:34.041537Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2604.27074"},"observation_digest":"sha256:a6880bc3e412f9c69796426bdd602e14c4af82a6a9836c95d30a32c8d985514e","observation_id":"424fde7f-f0ec-4ac3-b1e3-3c97551c36dd","resolution":{"observed_at":"2026-05-12T09:46:26.831698Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.05288","last_updated":"2026-05-06T17:59:53Z","snapshot_observed_at":"2026-07-06T23:17:58.119336Z","submitted_at":"2026-05-06T17:59:53Z","title":"Charge Scrambling in Strong-to-Weak Spontaneous Symmetry Breaking","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-08T15:47:58.276736Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.05288"},"observation_digest":"sha256:926e7a489d707dac2c144076961377419fa4b140aae088196284334757a314c9","observation_id":"59d15f02-9797-488d-801f-f757ce1bbb2c","resolution":{"observed_at":"2026-05-11T18:31:08.200105Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.15200","last_updated":"2026-05-25T01:23:39Z","snapshot_observed_at":"2026-07-06T23:26:32.979566Z","submitted_at":"2026-05-14T17:59:57Z","title":"Translation symmetry-enforced long-range entanglement in mixed states","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-15T03:13:10.094202Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.15200"},"observation_digest":"sha256:da0e571e67a6114f8a41eb37158c3705e3851d4083eec9427a5f7c088bff7115","observation_id":"d820dbe9-cf6a-42e2-a9f3-170ed542bf6e","resolution":{"observed_at":"2026-05-15T03:14:52.812619Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.15200","last_updated":"2026-05-25T01:23:39Z","snapshot_observed_at":"2026-07-06T23:26:32.979566Z","submitted_at":"2026-05-14T17:59:57Z","title":"Translation symmetry-enforced long-range entanglement in mixed states","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-20T20:41:12.606208Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.15200"},"observation_digest":"sha256:df9fad7af6d85c4147bd89e56cdd05ca1643a6587dd79445b821bebeadbddb3a","observation_id":"62a8fd8b-e24b-4d14-a9eb-8a9035e6dc92","resolution":{"observed_at":"2026-05-20T20:43:43.400546Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.15200","last_updated":"2026-05-25T01:23:39Z","snapshot_observed_at":"2026-07-06T23:26:32.979566Z","submitted_at":"2026-05-14T17:59:57Z","title":"Translation symmetry-enforced long-range entanglement in mixed states","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-30T20:05:23.704719Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.15200"},"observation_digest":"sha256:194ad38e1442b7b606155d30999ac2b9b980b992d3de614d078505d9b4a58a4e","observation_id":"da55b587-e82f-4d61-844c-43d18b802a46","resolution":{"observed_at":"2026-07-01T14:45:49.665143Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.24086","last_updated":"2026-05-22T18:00:02Z","snapshot_observed_at":"2026-08-03T15:01:01.671447Z","submitted_at":"2026-05-22T18:00:02Z","title":"Dynamical self-dual criticality in Fibonacci-monitored quantum Ising chains","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-30T15:46:26.337798Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.24086"},"observation_digest":"sha256:6d5b6bb2b9286682770aed1746e37df53e309cd7d3ea0f86453edc057fdd61af","observation_id":"12ce54a5-90b3-4540-a65d-d4a69cfbaca0","resolution":{"observed_at":"2026-06-30T15:54:49.574499Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.28925","last_updated":"2026-05-27T18:00:00Z","snapshot_observed_at":"2026-08-06T07:30:36.589203Z","submitted_at":"2026-05-27T18:00:00Z","title":"A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-29T11:42:51.655279Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.28925"},"observation_digest":"sha256:7f3a55be1ff9d36ed307dcc15f1cfa663517f934b2cb08aef198a44660e2b526","observation_id":"474d92c6-e3da-471c-a305-b7f57100b8a0","resolution":{"observed_at":"2026-06-29T11:43:23.199852Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2605.29113","last_updated":"2026-05-27T21:20:59Z","snapshot_observed_at":"2026-07-06T23:38:37.178378Z","submitted_at":"2026-05-27T21:20:59Z","title":"Local diagnostics for strong-to-weak spontaneous symmetry breaking and non-equilibrium phase transitions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T11:23:01.230345Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2605.29113"},"observation_digest":"sha256:6cfbcb9ec640a02e30c352b8f56ab948734a9ddb1b06e5013c20d41c56e0ba61","observation_id":"8ede1290-f4ed-413c-a41b-2246dfa14038","resolution":{"observed_at":"2026-06-29T11:23:20.560887Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"cited_work":{"arxiv_id":"2509.09669","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.09669","snapshot_observed_at":"2026-07-01T23:26:23.445565Z","title":"Strong-to-weak sym- metry breaking phases in steady states of quantum operations","venue":null,"work_id":"a645fa0b-e7e6-48f5-83d5-47eb28ae63eb","year":2025},"citing_paper":{"arxiv_id":"2606.02555","last_updated":"2026-06-08T05:12:17Z","snapshot_observed_at":"2026-07-06T23:42:58.036516Z","submitted_at":"2026-06-01T17:51:09Z","title":"Strong-to-Weak Spontaneous Symmetry Breaking","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-28T14:16:27.400490Z"},"links":{"cited_paper":"/paper/2509.09669","citing_paper":"/paper/2606.02555"},"observation_digest":"sha256:b4212172f1f81d0679e35f014134a8f457a55a15ead55a04578e67fd995ee9f7","observation_id":"0e2cb740-bc74-4ad9-bec7-fb04d5dbc8e2","resolution":{"observed_at":"2026-07-01T23:26:23.448346Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.09669/citation-record","integrity":"/paper/2509.09669/integrity","json":"/paper/2509.09669/citation-record.json","paper":"/paper/2509.09669"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:56:05.582182Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.582182Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:5508b38ce9be3e9a0d04ae12f43b4de0d3c2a158c3786a49e809c378fbaca44b","observation_id":"5610fd6e-b4ae-4b33-a362-9d6e1379f3b8","resolution":{"observed_at":"2026-08-04T18:56:05.582182Z","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":"2026-08-04T18:56:05.586557Z","title":"freezing","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.586557Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:194455eea2eb7c1c047dce3614ca01420b1ee376b88e8e8bd84c87dd24e40b22","observation_id":"2b1106d1-3ea7-4c1e-9cd6-a212fa6e2040","resolution":{"observed_at":"2026-08-04T18:56:05.586557Z","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":"2026-08-04T18:56:05.590446Z","title":"Buˇ ca and T","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.590446Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:2f7e1cac78e477714cf1d2a096ee6afa59ee7a0a9e30a476b68dd9176581bf11","observation_id":"34cc9d97-3041-4abd-b398-e7170cf9db96","resolution":{"observed_at":"2026-08-04T18:56:05.590446Z","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":"2026-08-04T18:56:05.593893Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.593893Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:dd8343a9357f5ddde8cd7451bb858ab506df5b23e11bdd922850f0fb6ef43569","observation_id":"cbd4bede-3fc3-4509-96c7-3f6d5f8d8b86","resolution":{"observed_at":"2026-08-04T18:56:05.593893Z","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":"2026-08-04T18:56:05.597212Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.597212Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:4f7a7eadfa530be0c436e9d8f45c7d0b418463af84b746d0f9a885bec4dcb628","observation_id":"beba56a0-ce94-495b-bc1f-feb8e7efd391","resolution":{"observed_at":"2026-08-04T18:56:05.597212Z","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":"2026-08-04T18:56:05.600327Z","title":"Ogunnaike, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.600327Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:0c9e98f25a41b51f3a60664540dc7f14ae729215a360dd501192fd181d3333e4","observation_id":"a9ae6d20-f63f-42ca-9be7-1d80f72c0b3c","resolution":{"observed_at":"2026-08-04T18:56:05.600327Z","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":"2026-08-04T18:56:05.603604Z","title":"Moudgalya and O","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.603604Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:450112e6a310eac10d5b17d6a7319cd0b4979ffa6089af491fb2f552a43c2e2b","observation_id":"75760776-ba07-434d-9075-49afb3788eb3","resolution":{"observed_at":"2026-08-04T18:56:05.603604Z","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":"2026-08-04T18:56:05.606943Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.606943Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:d9c3b54ef2e56a21c04a8229a8b91fefbf96986d9a7881c0a982fb5b6ec22565","observation_id":"76ba2a32-47a0-49e6-a944-60895880f3e2","resolution":{"observed_at":"2026-08-04T18:56:05.606943Z","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":"2026-08-04T18:56:05.609861Z","title":"Huang, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.609861Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:332f503313a76026c4e801925ef403af678de4bbe99b68e4a818b9dcb5c7c6fa","observation_id":"3f68c88b-f38d-48ad-baf0-7657b5589173","resolution":{"observed_at":"2026-08-04T18:56:05.609861Z","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":"2026-08-04T18:56:05.612860Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.612860Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:db7aa5d1ce537b0169a817b96e830b63ae03fbda8d55315f76d838dc2105ce62","observation_id":"67fb5735-191d-4944-86bf-85ac86e42aea","resolution":{"observed_at":"2026-08-04T18:56:05.612860Z","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":"2026-08-04T18:56:05.615931Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.615931Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:89e51c60fd030b6ca15a1023a01c146c3feabee0b2bb7cfe74ea3b0f6ce28605","observation_id":"0c134f73-290b-4814-9af7-cfb0a902c974","resolution":{"observed_at":"2026-08-04T18:56:05.615931Z","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":"2026-08-04T18:56:05.619246Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.619246Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:c8f4737873e38984cd824d27874de0b954e0f5c56c2dedd70ae72bf17abda8b6","observation_id":"9a25e823-8d12-4a54-a635-14129244bfa4","resolution":{"observed_at":"2026-08-04T18:56:05.619246Z","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":"2026-08-04T18:56:05.622513Z","title":"Ma and C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.622513Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:f3d61c60644996c0baaff53afe7ea02cb921ca2248f192992f4a1ed6320cd374","observation_id":"1529779d-336d-4b63-84e9-d9fcc9c5e9e0","resolution":{"observed_at":"2026-08-04T18:56:05.622513Z","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":"2026-08-04T18:56:05.625526Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.625526Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:b1062a37c2b0ed3a93ffbf38a546d7745eb921403f2cc85f0a50935036c7f45a","observation_id":"dbdbc5b9-f854-4b98-85fc-f52b311f008e","resolution":{"observed_at":"2026-08-04T18:56:05.625526Z","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":"2026-08-04T18:56:05.628442Z","title":"Moharramipour, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.628442Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:2bc515b5723d427c08f26c9586374a28062bc23b4f449f7edd859cfa5cd30978","observation_id":"d8d95867-afb3-4c4e-8b06-8a7e7bcb1d80","resolution":{"observed_at":"2026-08-04T18:56:05.628442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.08567","last_updated":"2025-03-28T13:23:20Z","snapshot_observed_at":"2026-08-04T11:30:38.518000Z","submitted_at":"2024-06-12T18:10:41Z","title":"Highly entangled stationary states from strong symmetries","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.08567","snapshot_observed_at":"2026-08-04T18:56:05.631470Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.631470Z"},"links":{"cited_paper":"/paper/2406.08567","citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:79856a564dabdc8ce32b778d060c8ce5bdf2a6a842a2063647ab00a7ef152669","observation_id":"802f09f2-11b3-4aa8-a9dd-abdcee5573d6","resolution":{"observed_at":"2026-08-04T18:56:05.631470Z","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":"2026-08-04T18:56:05.634930Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.634930Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:a9180411b03149b12cab1257e3933a17713bfcb49853236c8e1467c10d64fe35","observation_id":"ac2e7ecb-5923-41bc-b602-c5fbeaf31009","resolution":{"observed_at":"2026-08-04T18:56:05.634930Z","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":"2026-08-04T18:56:05.638022Z","title":"Agrawal, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.638022Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:0aadd0b8ccc360443a028b785651832f6882aa78c0d914c19dfa5265276b41af","observation_id":"d1660824-076b-410f-b295-567b4101aba5","resolution":{"observed_at":"2026-08-04T18:56:05.638022Z","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":"2026-08-04T18:56:05.641078Z","title":"Barratt, U","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.641078Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:879e7f9b7b18759635728cb88e3fbc162b93b13274b813ae803a9626ab1e29bd","observation_id":"ec2190af-08d2-4126-9acd-42243c8dc57b","resolution":{"observed_at":"2026-08-04T18:56:05.641078Z","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":"2026-08-04T18:56:05.644309Z","title":"Singh, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.644309Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:c02bacaa0b737eac4988333a6132022581bffc85b1f4b6ebf4d3c4b3abb37b5b","observation_id":"414ac6e9-6cf3-4bad-857e-415fa24bdd98","resolution":{"observed_at":"2026-08-04T18:56:05.644309Z","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":"2026-08-04T18:56:05.647381Z","title":"Zerbaet al., (2025), in preparation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.647381Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:b1a42a3ea4b9a755f44195a152ab38eff88b9ee290dab451906722bbb9a98754","observation_id":"bc1dcba2-faaa-4e4e-8a45-89ca789fbafc","resolution":{"observed_at":"2026-08-04T18:56:05.647381Z","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":"2026-08-04T18:56:05.650461Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.650461Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:4b9b1dcf617517a94f57c2fbd4e60f02ead4a484fe283094670e3c295ac6ae70","observation_id":"537b55dd-be76-413b-874b-37baf9076d2d","resolution":{"observed_at":"2026-08-04T18:56:05.650461Z","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":"2026-08-04T18:56:05.653514Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.653514Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:f087fde12badea2877d7a10c28d47a2d11d0706771ed05c49c9a611ef1c921fe","observation_id":"2a557db2-678b-412c-b671-c8987f69c86a","resolution":{"observed_at":"2026-08-04T18:56:05.653514Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.19381","last_updated":"2026-05-05T08:06:31Z","snapshot_observed_at":"2026-07-06T18:38:05.229292Z","submitted_at":"2024-06-27T17:55:36Z","title":"Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.19381","snapshot_observed_at":"2026-08-04T18:56:05.656635Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.656635Z"},"links":{"cited_paper":"/paper/2406.19381","citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:da9a79f494e2aeb1f0b9065ce41a08db61b7220177f5ab67349109028e08fbe4","observation_id":"082da96f-5700-4d11-9e56-bc6435d5b5c1","resolution":{"observed_at":"2026-08-04T18:56:05.656635Z","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":"2026-08-04T18:56:05.660211Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.660211Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:9d860376e16f2e423771cd88a504b64279bcfc97050e9ef19f35bcc51049bf49","observation_id":"918b7e60-cabd-46c5-b5bf-38152bdd7de3","resolution":{"observed_at":"2026-08-04T18:56:05.660211Z","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":"2026-08-04T18:56:05.663223Z","title":"Mitsuhashi, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.663223Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:e3872e70d9be54ee43284d7cf026522f9054b5bf0c6091ad502f093053feeea8","observation_id":"4607e65f-b80c-4a37-bcd4-0a876e984c89","resolution":{"observed_at":"2026-08-04T18:56:05.663223Z","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":"2026-08-04T18:56:05.666302Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.666302Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:4f70b20187e8bb778a212247dd8ca2d84f51cf6fd9c73ce3f5b4768e64494c61","observation_id":"46f7c73d-e013-4f36-9e69-f6c6f46e5305","resolution":{"observed_at":"2026-08-04T18:56:05.666302Z","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":"2026-08-04T18:56:05.669642Z","title":"Biane, Asymptotic estimates for the multiplicities in tensor powers of a g-module, C","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.669642Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:f22f48c4db4b1b8feca24e64e183f3665929d3fc1b7b7677269fc8bc539a1f5a","observation_id":"1d4e6142-0625-40ad-8b91-2a8e65bb297e","resolution":{"observed_at":"2026-08-04T18:56:05.669642Z","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":"2026-08-04T18:56:05.672540Z","title":"Tate and S","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.672540Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:35eaf51660473c5312a5a119d411341828e6f5ced1a0f4f8ab0cf35203be4c34","observation_id":"adfd7361-1be6-4093-a9d0-2273d9d657ce","resolution":{"observed_at":"2026-08-04T18:56:05.672540Z","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":"2026-08-04T18:56:05.675873Z","title":"Hauser, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.675873Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:048881a3baa7a13e209979cb772580ecc9254c206c6d5f5f72f830e832b831ce","observation_id":"303c4d11-582a-47c8-a96d-05af6a91b93b","resolution":{"observed_at":"2026-08-04T18:56:05.675873Z","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":"2026-08-04T18:56:05.678974Z","title":"Breuer, F","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.678974Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:5ab561ec76fa5dfe2eae505196c6faddac3b01a9d15f5edc0890760a005bfd2e","observation_id":"58d36d2a-b5d9-4931-82c3-cc8a7b837f01","resolution":{"observed_at":"2026-08-04T18:56:05.678974Z","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":"2026-08-04T18:56:05.682233Z","title":"Watrous,The Theory of Quantum Information(Cam- bridge University Press, Cambridge, 2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.682233Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:6bcf9df91a12390073096f0916c268293891d6738235e5164c2d174e135d5875","observation_id":"0718e793-1f49-4d9e-a48e-a84332b39c9e","resolution":{"observed_at":"2026-08-04T18:56:05.682233Z","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":"2026-08-04T18:56:05.685228Z","title":"Lindblad, On the generators of quantum dynamical semigroups, Communications in Mathematical Physics 48, 119 (1976)","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.685228Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:bc1bf408e089c9b4e3902c7eb4ba7da8727706b4d98f4bb6b90427dab03c642b","observation_id":"1ad91cf5-895a-42b1-b905-160561bc0bc6","resolution":{"observed_at":"2026-08-04T18:56:05.685228Z","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":"2026-08-04T18:56:05.688012Z","title":"Lashkari, D","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.688012Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:501a32d0ca7a93044f61c72973f8f5454e325f96e3b452c69a3c8e97df0fe4f3","observation_id":"129bb49c-38f5-47d7-9713-acbba5a3a5f5","resolution":{"observed_at":"2026-08-04T18:56:05.688012Z","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":"2026-08-04T18:56:05.691043Z","title":"Bauer, D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.691043Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:766177b6aa3535ad824f29e0ceebf9ea07f18d15bf900a21cccae527f5b02540","observation_id":"e60becce-5994-4a9b-9afb-c1c7c36035f4","resolution":{"observed_at":"2026-08-04T18:56:05.691043Z","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":"2026-08-04T18:56:05.694204Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.694204Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:d4fc8931492adfc500d232ac7bf106fdc20113c4507edc8661be52507e6bc28d","observation_id":"3d25ce5e-b6bf-4aef-b15b-1658250de25d","resolution":{"observed_at":"2026-08-04T18:56:05.694204Z","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":"2026-08-04T18:56:05.697474Z","title":"S¨ underhauf, L","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.697474Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:981d96adddc0b11d0ab3c053cabb77515273dbd77696c51a2a5b88893297eb24","observation_id":"718f443e-e2f6-4678-aeeb-36d49f1d2f85","resolution":{"observed_at":"2026-08-04T18:56:05.697474Z","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":"2026-08-04T18:56:05.700300Z","title":"Agarwal and S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.700300Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:80a0c163b596565b30ea41571c8d2abc6b2b5ed9d13cdac56f7abe56627c77d3","observation_id":"d4624048-62c7-4fbf-980e-7d6a9e6f0d62","resolution":{"observed_at":"2026-08-04T18:56:05.700300Z","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":"2026-08-04T18:56:05.703736Z","title":"Zhou and X","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.703736Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:28fd3b6dc6ce573affc8c3989f49f3f8f5917516c0e402794d18b04be655f6d5","observation_id":"d1be5fae-e825-4810-a060-3210b6190c77","resolution":{"observed_at":"2026-08-04T18:56:05.703736Z","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":"2026-08-04T18:56:05.707129Z","title":"Agarwal, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.707129Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:598aafb5d28b187612af74159e56f3a28c8a76f01853dec328d095654b350a19","observation_id":"28e003c1-a975-4b28-a71d-f29c4c816934","resolution":{"observed_at":"2026-08-04T18:56:05.707129Z","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":"10.1103/physrevb.98.184416","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Knap, Entanglement production and information scrambling in a noisy spin system, Physical Review B 98, 10.1103/physrevb.98.184416 (2018)","venue":"Physical review. B./Physical review. B","work_id":"0401863b-2624-4613-8eba-d572af1cb74c","year":2018},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.710175Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:b8233e14ada2420b147f8b915f49d1a8ab5f26e6b10163ea08a058addb875863","observation_id":"cf3d54c1-3625-4c1d-b07c-14d6b8a784ae","resolution":{"observed_at":"2026-08-04T18:59:27.796799Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-04T18:56:05.713159Z","title":"Bernard and L","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.713159Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:64fedc4652fa1398335878997693040ad7ea7f9f50882408b08559445d5baac1","observation_id":"5b644de0-13b3-4b3a-86ab-b61aba702984","resolution":{"observed_at":"2026-08-04T18:56:05.713159Z","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":"2026-08-04T18:56:05.716097Z","title":"Swann, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.716097Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:5fbbc8ebd23891d5afe0ec9970f2c052ef78ad5f51143d07b1ad45dddc5273a9","observation_id":"654a3319-c197-454c-8c45-b4d37b647c3f","resolution":{"observed_at":"2026-08-04T18:56:05.716097Z","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":"2026-08-04T18:56:05.719476Z","title":"Vardhan and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.719476Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:310c7ece036bb386430e6c91f98d0a7b91a35e91e2e01a653700cc6dcd5ad250","observation_id":"150add18-67ca-4a5e-a957-c9b435bb34d0","resolution":{"observed_at":"2026-08-04T18:56:05.719476Z","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":"2026-08-04T18:56:05.722387Z","title":"Sahu, S.-K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.722387Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:ee1a551bdc5d93480e4a5520887b7125ee7515a1cf10026440cef73eeaf9b3bf","observation_id":"6eff59d6-f02b-488d-9bf8-b74f77800c30","resolution":{"observed_at":"2026-08-04T18:56:05.722387Z","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":"2026-08-04T18:56:05.725421Z","title":"Moudgalya and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.725421Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:0aa93b08a22eb36f1fbb5f43b30ed942318ff4710bbb43964e7689fab91d5a3e","observation_id":"76749b2e-3510-493e-a51c-db194e3ea59b","resolution":{"observed_at":"2026-08-04T18:56:05.725421Z","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":"2026-08-04T18:56:05.728638Z","title":"Moudgalya and O","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.728638Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:763c01f90c9cbf9ec09d87a7ee3b9fd8499d7e176ff5811c7aa1d6d8e9cf4a5f","observation_id":"2890e25a-25d3-4f27-843d-06ecc9b1fbbd","resolution":{"observed_at":"2026-08-04T18:56:05.728638Z","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":"2026-08-04T18:56:05.731750Z","title":"Pfeuty, The one-dimensional Ising model with a trans- verse field, Annals of Physics57, 79 (1970)","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.731750Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:feded260fdcb8705092bb8daafacaaca80006f5e2c6e4469c5d12b60965d5d0d","observation_id":"88c732c3-c8ea-4727-951d-ca72cd277783","resolution":{"observed_at":"2026-08-04T18:56:05.731750Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.02900","last_updated":"2025-05-05T18:00:01Z","snapshot_observed_at":"2026-08-07T15:56:16.994857Z","submitted_at":"2025-05-05T18:00:01Z","title":"Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.02900","snapshot_observed_at":"2026-08-04T18:56:05.734728Z","title":"Zhang, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.734728Z"},"links":{"cited_paper":"/paper/2505.02900","citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:2501790c5711ce8cec26d76d45b7121f9091153d6461aeef516dde422beed0ea","observation_id":"61cfa750-24df-447d-b1bb-457cc8b974ce","resolution":{"observed_at":"2026-08-04T18:56:05.734728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.10565","last_updated":"2023-10-10T17:41:54Z","snapshot_observed_at":"2026-08-05T20:47:20.224151Z","submitted_at":"2023-09-19T12:19:12Z","title":"A Simplified Expression for Quantum Fidelity","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.10565","snapshot_observed_at":"2026-08-04T18:56:05.738305Z","title":"M¨ uller, A simplified expression for quantum fidelity (2023), arXiv:2309.10565 [quant-ph]","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.738305Z"},"links":{"cited_paper":"/paper/2309.10565","citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:52ef5324fa18771689318cc64b6e2fc4fe3494b538a07b54b546d35e7854671e","observation_id":"495b6a99-220d-4fc9-b842-57426e9d73d0","resolution":{"observed_at":"2026-08-04T18:56:05.738305Z","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":"2026-08-04T18:56:05.741662Z","title":"Hauschild and F","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.741662Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:4db333958aad31798741eb31f7125a42adbcda2c84ac583fc8bc3775fcb5c89d","observation_id":"df745680-63f9-4ac6-83d5-9336cda5db72","resolution":{"observed_at":"2026-08-04T18:56:05.741662Z","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":"2026-08-04T18:56:05.744792Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.744792Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:e3d00008c69a05f9030519daa008a9f602d40045d81f1cd769967659e0e95402","observation_id":"d8b26bff-fbb0-402c-9a5c-d2fdc10b410b","resolution":{"observed_at":"2026-08-04T18:56:05.744792Z","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":"2026-08-04T18:56:05.747860Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.747860Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:5f351b79b766af04899ddfbe422b4d56247bdf251fa6b35a56186427effe9080","observation_id":"cded280b-ad2e-4521-ade5-bb42788f833e","resolution":{"observed_at":"2026-08-04T18:56:05.747860Z","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":"2026-08-04T18:56:05.750870Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.750870Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:8e8fbd788adf6310b8cddb666fe50c0cf8e6520ab958d35084c9dc4bb881e466","observation_id":"34036b32-8ed2-4a7e-a006-0b4c075e400a","resolution":{"observed_at":"2026-08-04T18:56:05.750870Z","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":"2026-08-04T18:56:05.754042Z","title":"Zhang, J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.754042Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:2eb1d9351bbb46796adde7b8d9c48295c091d08a735c3dff35e82c65f410a62b","observation_id":"14cac045-f20f-4677-bdff-8a8583098485","resolution":{"observed_at":"2026-08-04T18:56:05.754042Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.00747","last_updated":"2024-03-30T04:03:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-08-01T18:00:01Z","title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.00747","snapshot_observed_at":"2026-08-04T18:56:05.756928Z","title":"Shao, What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries, arXiv e-prints 10.48550/arXiv.2308.00747 (2023), arXiv:2308.00747 [hep-th]","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.756928Z"},"links":{"cited_paper":"/paper/2308.00747","citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:196c21a5edf041316770b3658d560a41d45319e6eaa578209c907398b6b4cc78","observation_id":"d044e05b-46f8-439d-acde-d334d50a4cf5","resolution":{"observed_at":"2026-08-04T18:56:05.756928Z","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":"2026-08-04T18:56:05.760588Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.760588Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:5fd067d587d046d891853fe37b16da0670848274108617c2729c74b2c8f0362c","observation_id":"8be8946e-f22d-4194-9de9-4780e8005fdc","resolution":{"observed_at":"2026-08-04T18:56:05.760588Z","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":"2026-08-04T18:56:05.763583Z","title":"Khemani, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.763583Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:9eb47ca3a39b7395c1d9dc195cc0658dce0ad6f13f49002c43b9609b5cb950cf","observation_id":"876be81c-e909-4706-aa68-707f42b6c976","resolution":{"observed_at":"2026-08-04T18:56:05.763583Z","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":"2026-08-04T18:56:05.766770Z","title":"Rakovszky, P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.766770Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:8605fe03f58b1f790be35f6083f530ee37686372b4befe329b3dae560e00224d","observation_id":"a729693e-a8ec-4e57-8c60-b030e03b26c4","resolution":{"observed_at":"2026-08-04T18:56:05.766770Z","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":"2026-08-04T18:56:05.770122Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.770122Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:4e1abeb0056e0b2fca0e40b07201af777f5a12d6f9fb73636c85f857a28b9a27","observation_id":"f95d07f9-28bd-4555-944e-babfdb7be85e","resolution":{"observed_at":"2026-08-04T18:56:05.770122Z","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":"2026-08-04T18:56:05.773403Z","title":"Moudgalya, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.773403Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:3df33eefbe9ec6263b28239c14444dbcd1dbb352be489023ddb3b95b78c92e0d","observation_id":"c986e325-a01f-4c6a-b33b-6a066fd127d1","resolution":{"observed_at":"2026-08-04T18:56:05.773403Z","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":"2026-08-04T18:56:05.776486Z","title":"Moudgalya and O","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.776486Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:6d972127cb23ac777fa772a8d36406c3b6815deceb4af300760ccea286a5fc8f","observation_id":"e2156155-a7f2-40bb-8c55-549a9f336c47","resolution":{"observed_at":"2026-08-04T18:56:05.776486Z","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":"2026-08-04T18:56:05.779775Z","title":"Serbyn, D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.779775Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:ffd511c4a249bb465ee69db0d97dadae4cb52e900828cd5267c45e5c27571ba5","observation_id":"cb59d040-1ff2-429a-842c-ae0022bef51d","resolution":{"observed_at":"2026-08-04T18:56:05.779775Z","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":"2026-08-04T18:56:05.782923Z","title":"Papi´ c, Weak Ergodicity Breaking Through the Lens of Quantum Entanglement, inEntanglement in Spin Chains: From Theory to Quantum Technology Applica- tions, edited by A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.782923Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:a344fe7e2b25dc803fdc722bed194b9890a167f46fcf990ed9a19bffe76548b0","observation_id":"902357f0-2fc7-4b5c-8da4-94df5b5e488f","resolution":{"observed_at":"2026-08-04T18:56:05.782923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.04637","last_updated":"2025-06-05T05:15:10Z","snapshot_observed_at":"2026-08-07T10:34:38.180638Z","submitted_at":"2025-06-05T05:15:10Z","title":"Entanglement cost hierarchies in quantum fragmented mixed states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.04637","snapshot_observed_at":"2026-08-04T18:56:05.786208Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.786208Z"},"links":{"cited_paper":"/paper/2506.04637","citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:8b239368005bd37f984d273f2ae0d22726c459bc5a1b948f3fe82de35ba2080f","observation_id":"c1e06263-437a-47ed-9614-27918a04804e","resolution":{"observed_at":"2026-08-04T18:56:05.786208Z","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":"2026-08-04T18:56:05.789701Z","title":"Moudgalya, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.789701Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:8001d5d7ba0a072098cb704298eff6a8e0bb24a5593b8ffd05007f34d7bb6b7a","observation_id":"1acd00c6-5de9-4be1-92f6-cf6bd00d5fcd","resolution":{"observed_at":"2026-08-04T18:56:05.789701Z","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":"2026-08-04T18:56:05.792984Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.792984Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:e48ae72f0d20a6aa69c6daaa27861cee05616d5a978ee9e7dd5cdbab425e4387","observation_id":"e134b428-b3b8-47f6-804f-000df4a66174","resolution":{"observed_at":"2026-08-04T18:56:05.792984Z","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":"2026-08-04T18:56:05.796413Z","title":"Morningstar, V","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.796413Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:aaf65aa237a1c70e8416e4071e509499fe761715982d4415059cdc37760c500c","observation_id":"d5568b96-916f-43ed-a18f-761d39c8e874","resolution":{"observed_at":"2026-08-04T18:56:05.796413Z","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":"2026-08-04T18:56:05.799515Z","title":"Feldmeier and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.799515Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:8eb3727f053ad3fa5269c27d3be84d7f53a62d621717c3ab0406b9d10e8d4ba2","observation_id":"1ff5ba80-af7a-40d7-b158-135623428ddb","resolution":{"observed_at":"2026-08-04T18:56:05.799515Z","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":"2026-08-04T18:56:05.802775Z","title":"Elben, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.802775Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:4336b19939065ccd1fb86021aa505eaf2f64ca23e547b8d1d05ab4378847e3ba","observation_id":"2a3af142-dc0e-4c03-8190-5fcab42b0ab6","resolution":{"observed_at":"2026-08-04T18:56:05.802775Z","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":"2026-08-04T18:56:05.805988Z","title":"Brydges, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.805988Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:ad04ec3eb0af7b29a0407ac31001e1a99559bce8ce59f87e11a28c52549adb2e","observation_id":"4ac71b29-cfa2-4b45-8f12-26788959b9f5","resolution":{"observed_at":"2026-08-04T18:56:05.805988Z","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":"2026-08-04T18:56:05.809315Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.809315Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:6040b1bc0c67fed50cd8cc7aec2121d360adc15278f985839389814faf3af0f4","observation_id":"fc74b54e-694c-4584-a956-1f07e036ac89","resolution":{"observed_at":"2026-08-04T18:56:05.809315Z","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":"2026-08-04T18:56:05.812542Z","title":"Ziereis, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.812542Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:159670339ba98080c7fdd110e5449e820b6dde9a43d05eabec8ce0bdafde48c3","observation_id":"76873227-96b0-40cf-8e8c-c727d4e39167","resolution":{"observed_at":"2026-08-04T18:56:05.812542Z","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":"2026-08-04T18:56:05.815931Z","title":"Appel and E","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.815931Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:d073078dee333200451003e9dbc87eb78f8107b0c1e966cc85840ed5fbcf816b","observation_id":"93d49b3e-4b52-4e57-896c-b2c0bb4ae32c","resolution":{"observed_at":"2026-08-04T18:56:05.815931Z","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":"2026-08-04T18:56:05.819359Z","title":null,"venue":null,"work_id":null,"year":1953},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.819359Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:5c1858d7a8a37b3c654703d920a63346d807716895fbdb8f2a6a0d84f62f9366","observation_id":"23af9b27-455d-415e-ad67-0c97dfbcef1b","resolution":{"observed_at":"2026-08-04T18:56:05.819359Z","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":"2026-08-04T18:56:05.822980Z","title":"Br¨ ocker and T","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.822980Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:fb279636f9f11020c50d9ee76105b8f9f4c86e4e6e0e0eef9eaafdef371989cf","observation_id":"0cb4bd0c-41d1-4194-9bc0-83b714b7b470","resolution":{"observed_at":"2026-08-04T18:56:05.822980Z","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":"2026-08-04T18:56:05.826199Z","title":"Fulton and J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.826199Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:243fa90078af4aa2a09d2f7b8e11e6d3c39c8e380763d51027c663e90eb84001","observation_id":"b06f36bf-b38d-4b34-98ed-372132c8cdfb","resolution":{"observed_at":"2026-08-04T18:56:05.826199Z","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":"2026-08-04T18:56:05.829534Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.829534Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:a54dbdb80a41963cf95e1891f7ec4a3209772b512813ad6fb5fead7d53f56a90","observation_id":"5052a75f-458b-4c78-b2f5-df73a9de606d","resolution":{"observed_at":"2026-08-04T18:56:05.829534Z","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":"2026-08-04T18:56:05.832859Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.832859Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:e02f2df5590d3942b5cf1796d2e0a8f18b782ce171b29bead34755621dc4f1df","observation_id":"7a585069-1a08-4df7-a5c9-7946ad866859","resolution":{"observed_at":"2026-08-04T18:56:05.832859Z","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":"2026-08-04T18:56:05.836088Z","title":"M¨ uller-Lennert, F","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.836088Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:1d6d5161250d6576c88d3e78644833c5a00d761105e6c794540b684c7f5eb764","observation_id":"1b738cc1-e488-43f0-8d7e-b2449a829aa6","resolution":{"observed_at":"2026-08-04T18:56:05.836088Z","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":"2026-08-04T18:56:05.839386Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.839386Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:9395b57a2a8c6c3e78960f0bb6e91b989bab2b38cdd7516ece0e669cb95bd8b8","observation_id":"27a9361a-687f-4663-952a-ef8aab56ca49","resolution":{"observed_at":"2026-08-04T18:56:05.839386Z","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":"2026-08-04T18:56:05.842516Z","title":"We first need to know for whichNthe MMISρ ∞ N (θ) is well defined (i.e., the scalar symmetry sectorV θ(N) is not empty)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.842516Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:9ab7554a5f188e5691f59616152b2ea33e6af0edec3f1aa2a0b3d4e19356efea","observation_id":"de23152b-b0ad-483c-9215-341358f6637f","resolution":{"observed_at":"2026-08-04T18:56:05.842516Z","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":"2026-08-04T18:56:05.846437Z","title":"1, we need to collect a few tools that will aid in evaluating the expressions forC sw and C w∅ (see Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.846437Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:88d90f78a27fcb0c005d79b40b20ad96d6f88103c50b0f7cf568ae12792b1f30","observation_id":"48ea8dc1-9efa-486a-80fe-0dd2949ac1f3","resolution":{"observed_at":"2026-08-04T18:56:05.846437Z","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":"2026-08-04T18:56:05.850419Z","title":"Notation:We will frequently make use of the notation AdM (g)O=u ⊗M g Ou†⊗M g (A12) for an operatorOonH ⊗M loc","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.850419Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:299744182ce2a08208b82d444636407276f5945c245a642cd1e538e69362ca03","observation_id":"f139c283-a487-4354-ae29-17d1aae22f52","resolution":{"observed_at":"2026-08-04T18:56:05.850419Z","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":"2026-08-04T18:56:05.854108Z","title":"lim N→∞ Tr h ρ∞ NL Oα† ΩiNL Oα ΩjNL i = 0∀α∈ I(A17) We will pick a sequence of system sizes of the formN L =N 0 +L·n","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.854108Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:6614b50351675e0c95a7736afdbb04685a083fb07f85c83969ede8c644f166ca","observation_id":"158f6035-1c0e-4d15-b377-d02adbbb5b3b","resolution":{"observed_at":"2026-08-04T18:56:05.854108Z","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":"2026-08-04T18:56:05.857844Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.857844Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:b19ec46afae405d9b54efba30359bfd8c20a63b2bc17c3bd0c88d8500201c327","observation_id":"7c3d427a-119f-4375-8ff5-d66710f211e5","resolution":{"observed_at":"2026-08-04T18:56:05.857844Z","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":"2026-08-04T18:56:05.861379Z","title":"1 we need to show that dimV Q(N)∼ 1 poly(N) 2N whenever it is nonzero","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.861379Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:d6221c51e06d4108bee419ae3a4a666fe46daec57f7defa10eaffbc91187cc02","observation_id":"3b40e04e-d9f7-401e-bfa5-6370ab165eab","resolution":{"observed_at":"2026-08-04T18:56:05.861379Z","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":"2026-08-04T18:56:05.864886Z","title":"r √ρβO† Ω2 OΩ1 √ρβ † √ρβO† Ω2 OΩ1 √ρβ # =|| √ρβO† Ω1 OΩ2 √ρβ||1 = max n Tr h√ρβO† Ω2 OΩ1 √ρβA i ,||A|| ∞ ≤1 o ≥Tr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.864886Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:34c6268ae2e4215f753927f75c3184356c30958b9b4a2daeda2d14f6dde12fa4","observation_id":"8d67d009-c22c-428c-a21f-0cb4aada9bd0","resolution":{"observed_at":"2026-08-04T18:56:05.864886Z","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":"2026-08-04T18:56:05.869047Z","title":"We consider theZ 2 symmetric circuits and defineρ(t→ ∞) = lim t→∞ E[ρ(t)], whereE[","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.869047Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:1bb274aa94db516dca771d14eda5a30db0ff327ce43bd0fac2cddadf0a63b103","observation_id":"a1395f32-8699-423c-b209-b7cb40623394","resolution":{"observed_at":"2026-08-04T18:56:05.869047Z","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":"2026-08-04T18:56:05.872791Z","title":"V B and VI B respectively","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-04T18:56:05.872791Z"},"links":{"citing_paper":"/paper/2509.09669"},"observation_digest":"sha256:b62f80e08e22773893e82c0d8b3dca05e011415c19490cbadef9e9326dfb9ce4","observation_id":"1147c696-1cd3-45d6-a511-7ea31d2b21b5","resolution":{"observed_at":"2026-08-04T18:56:05.872791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.09669","last_updated":"2025-09-11T17:58:48Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-06T06:23:48.489491Z","submitted_at":"2025-09-11T17:58:48Z","title":"Strong-to-Weak Symmetry Breaking Phases in Steady States of Quantum Operations"},"reference_resolution":{"displayed":90,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":89,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":90},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 13 inbound Pith citation observations for arXiv:2509.09669."}