{"as_of":"2026-08-10T18:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:42aaf7bd5a47e73ce3e0387e58706a7cbb6d391b4a11acb0ff8e95352cfd8c9b","coverage":[{"denominator":250,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-25T22:55:34.659853Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.24091/citation-record","integrity":"/paper/2606.24091/integrity","json":"/paper/2606.24091/citation-record.json","paper":"/paper/2606.24091"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1935},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:87772202988b6c8d20c6614aef443a4eb3ce063a4e3a57ffebe5fc5c44845aee","observation_id":"a6f3ef93-91a6-448d-922b-3e5afbf9a523","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1937},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:67935f92895c26e096dc717ca233a0d2191ba27b578bd88c8e475c54f2fe13cc","observation_id":"d7049085-e303-41bb-8b7b-74062df6dc30","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:54d5afae213e71162b174632b63aaca26544aea79ad7e83d8fcaee47b5269bfb","observation_id":"55786e1a-c545-4b59-8e28-a0d4376b00a7","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:d23e34894eb228f26f2f1c04b5b4370ea039e9cb624ad070263862e1edef154e","observation_id":"f991d067-1045-432e-af32-c1d047e3d52c","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:ef99abac6e4fa27841d337275175d8e0749ed7a6b251214b805ddff75e79d8b9","observation_id":"6ca6a619-7dcd-4b14-9643-3dde628e6a73","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:52c16b8b2e1e404b294b9e35b1856d309fdba40e0ec714b8d85ef58398585cd8","observation_id":"c5915a7f-c6e9-4979-8938-b25bb7482d67","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:bbca424a45f3ceb47d731b3d0e38647df305b56a972467473acc3e6f4e0cbdc7","observation_id":"0734581c-7a0f-404d-8ac9-645bfb0aaf32","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:9a357e5654b45c36dae1496e57a35453edb676d00af779214166677a4c16a6f7","observation_id":"85d13685-0b88-4554-a086-fe3acfc47c66","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:9353c972b27cecc2feda368de325d112c2e86f58f8aa341ab2fec3257dc455c6","observation_id":"006e0b87-ed11-4428-951a-581662091d57","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:9fa4da17ee7d9997992bcaae9431c69bcbebe5fd1b442733cf96a1db4a0a7eaa","observation_id":"74c070d4-2674-4e88-8614-95cc2c9bee4d","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:13ca39c4f36b9f2f453f61a179375c5e62cd1824cb84520c10a009dabd4c3366","observation_id":"ff9bfb40-983b-4aef-bcbf-4c1c947b7b45","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:7ea17c256ee42d0516872f3850af35f93700e5b96caafc65b5e57021048810f7","observation_id":"8726bad6-3e1d-4e14-a30d-65dbeceb167d","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:c42e248974247e174777a7c27e4c547cf8ebd906e24ae2957c9b7537b320a0fc","observation_id":"79c0fa60-9ee1-481d-987d-e6a516bac632","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:b9e5a05286539bb1ea2ca8df725fcaab7eafb13dd7a4a03ebeceee5c60c483ca","observation_id":"4aa05a55-78bf-453c-8c95-62cd154507f8","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:39aa6154aafb61f0fd21f8491692dba10f9e2688fe6ee73d2c6171dfcf24d452","observation_id":"9cdb8e02-502e-4a6f-9d4b-18af6196066e","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:d9d3fc548fcb0fe20a8daa5f4ba9eedd2ae46da1038d8f0d3fc1603312a6cf79","observation_id":"48e96764-162e-4796-accd-831f4d7fa2ea","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:e472f9bc5ac4bbde4ca1ff87d80e32b70348345b9e0116688c97b1746c8cbad4","observation_id":"7b9dea5e-7cfe-4cb7-8b43-0f99cb5d76c5","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:faa88295a0d996841d98867483e30b511cca16b28c6ae17f34af239fd6b264ea","observation_id":"5aa3cc85-2730-4290-a07d-11078daba554","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:dd48c602b845bb6834d0573257fb8fe57f71cff20899ae18c3454029a6445574","observation_id":"a702b9dd-2329-44a3-ad59-e1d3ceb0ef75","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:bb1f394b767e2c4e08e3ec4ce3f041d177d1efa1216e580f2c97222290d80771","observation_id":"af7d8405-924e-414c-a0f9-6fcb0d0e7197","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:ab049065d49080b68d63ac3a03d26e1642b954bdbea97fdf0d7e3be967caea60","observation_id":"34dd03af-09f2-4561-810c-12d973b81fb6","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:811aa5bedd973dfb213456ae85d2ed92fc52948607359617647fe144ea1c4118","observation_id":"46cec6f5-39c4-4a9a-b56b-ec679ccc6411","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:b8838255678ae0fc8366458889a8d82cb04301ffd9c8a775adc2ebc2eb8b5dd4","observation_id":"41cf0a0b-c2e8-4567-a4e3-730840c79376","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:d53966abc5638e73822983b038740480bf7f3947e88fc09a41cd6e8c52796ce3","observation_id":"425e2970-442c-4edb-9915-dd8fa886e883","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:9a26440d847f5b8af292ea31ffebb84dad4e88ece8a75ce6e10d0db559dd0f6d","observation_id":"79855130-d5dc-454a-9c32-6590fab74c68","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":"Nanotechnol","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:741e60494aa0e04d58d11e55afbd80f54ae35f7f848e0d0b225d40e41c06a1f5","observation_id":"0927c879-b0ff-40ac-a3ff-883b33e20095","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:b86f8b7ccb4d0d3f5a751328f9654215a35f8e96d4fbe1510853261a5f8ef072","observation_id":"c1aeb498-569e-48c2-90cc-5a2733a6d432","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:43ff7b395864ce4f43c90b091af4d05aa31814121246daf7cf24ee93f540c327","observation_id":"607500a7-dfb4-4b99-bc47-6b549c6527f2","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:ae3a5df001d6f1aeb02473835256198a85cc3c81fe84407fd24de107ac87a86a","observation_id":"10ba253f-ca16-4a72-8f34-afd0ab2be112","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:7463a57a467362b2f2f4656b23ba50387a04a4b518ed5838337c7c94d300e75f","observation_id":"f7081787-1154-4b66-9e4c-cfe65faa9c7f","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:5aff355e861baa5600d1481302bb33141338c056ce0d8b9535b986a678ab9f2a","observation_id":"84d99c72-2856-4b37-a570-ca7685780fbc","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:444281b3cd35ca22ca47ddb39f8e960c6b8e5ae6a680fac6b997319960483ee7","observation_id":"f4870bad-f928-4296-a677-fc13e43f1e6b","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:20db42416f1ba67e6a2182b8587b1b617d3d154db8187e3d16189ab461acb602","observation_id":"5ef42ab8-420f-4e4e-a7ab-9d75768233e7","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:82567467b9711cfc8bc2d078600c66c9364f856a77976c48c132ab400e91841a","observation_id":"26625fce-4c0a-4afd-abb9-fa2b4ce8bac6","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:712a4e9ece0fbbb77baae8707d19a0ab9273774498a3db1cab8233475cb3888a","observation_id":"bfa13328-7254-4ab1-bcca-2aa9a2f4081f","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:986f8f397346ddbc51504134df5c04c3c857f4c582f6624e587666011f47a5ee","observation_id":"486f11cc-ce18-43b5-b329-992e62e145a5","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:7ed25bd9638b9790007b7a79b115f423599f085a7a89c6609027bb91bb83f0c1","observation_id":"b784410d-4d77-4122-b933-361f27c31161","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:25fad652660dda7e56622b5642b0a1c1a2bf0dc03dd4ac7e34c9752dd907100c","observation_id":"4da67c34-50e1-4537-932a-17e83a470595","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:a4e88922d36cac263cb73826e19bdfa5a4f87737331f6614f79c5a39d4d2c133","observation_id":"5a0d343b-3d84-44de-a1fc-715cddae05f9","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:56ee12155787f4ec46e64231578f9f748451b05f7f0bc26667f697422105c618","observation_id":"6579a6ea-af3c-4cd6-98be-83fcd019349d","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:a275a1b16f38d87e36ef8cabefbba351cfbe44e92c1e5056c29cdefa99fb24cc","observation_id":"a62aebef-cb92-41ef-b481-ed9130e673c7","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:a56828b72784391e0d5e387c78617944390eeab80a04ed4a07cffceb9507a8ea","observation_id":"b321d887-e5d2-441d-a879-ed4bd4c53dc0","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:fad9f6969e65cb991f16dedabc2d8a308dab9993292b98afd882dfe938297d37","observation_id":"ed4c7925-dbb9-40c6-8492-e2b9a9a3519c","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:8adca9dded548c1e3a6ea405fcff0c6000fc48f468a42a67532c25d41b51e478","observation_id":"14977ecb-15c4-4426-9448-904bc57847e0","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.21621","last_updated":"2025-07-29T09:25:57Z","snapshot_observed_at":"2026-08-10T00:17:40.277319Z","submitted_at":"2025-07-29T09:25:57Z","title":"What exactly is 'active matter'?","version":1},"cited_work":{"arxiv_id":"2507.21621","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.21621","snapshot_observed_at":"2026-07-04T18:20:04.923664Z","title":"te Vrugt, B","venue":null,"work_id":"49bf3020-1692-40e8-9a6c-a6fe70c0102c","year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"cited_paper":"/paper/2507.21621","citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:53181df2d86261083e09790a50af1910acebd72c563d17b16a857526aaea4aaa","observation_id":"c7a44120-d412-4f16-b3ca-e34dcff6ac15","resolution":{"observed_at":"2026-07-04T18:20:04.925232Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:51c46087abf19b1d4e67cbc26bb939d07d9723de4ef7272f0bd7c5831c0ba79e","observation_id":"0853d0c3-039b-484a-bc28-cced56f63bd5","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:3c08a68066a72e2a6331a6cae731e6058c5a83d0746c70a98abde8546a4edfe1","observation_id":"9e65f1c0-235a-4539-8b86-59f251dd5152","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:cd4b5ed44bada47ad6c456383de43b7a3a6dcbd8a130465e11c8a9617fd58034","observation_id":"7821aedd-f530-4d64-bfe1-f2cf2f7b08d5","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:5fa0b7534be11b22a392916821dba96b80ae75862b3ed2d40ea610ff261fbcc4","observation_id":"679eb8a8-a385-418a-a88a-5e1ed6d86bef","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:e6ed76a79dc0caecf2ebde0cc871593285eac14ea22d588a11d8126dadb70dd7","observation_id":"20458481-d614-4e81-a0fb-598f136bdfc2","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:0dcb661d8865114b66a5712993209859047af9545fa7701a611934c181e7c844","observation_id":"827648a6-567f-48ad-90d2-6d39f482671f","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:3db8a273cff349106c272054b7c55cdc1813ca7b109960ec058eae19a50a4dc4","observation_id":"6f0c1bc9-ad46-448a-b483-103faa77bee0","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:dcd474511d37121ba9c0616e1fa330bafd5886f984fc296a1425aa8ac7d3edec","observation_id":"c28e3fb2-a948-458e-9693-ce39bc91aaa8","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:3c71091f20bcc29c65a67afcd3cc5528960b7fad209905c04236037cd01aea56","observation_id":"db2992de-dee5-431e-902b-b9d528701400","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:199496051754ab4ebeab13e4a9cafe119a424f325a15ab882261eb4fe83e6fd7","observation_id":"a1b064e6-bae7-44f4-bd10-1867cde640c5","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:7657eb64dd7bb57b77844ad1f9a7aa0ea6767802b723c2e54991c16837d7f20b","observation_id":"bb87a692-2c2f-462d-a8eb-35bd3db2d7c0","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:19aa9f1a13534af9936316fd35979b364679eb5d43f31bf8af419db900088412","observation_id":"8e02fc36-34f2-4fca-a3b4-3d4abb659056","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:3369a2d41fe6c00e04ea5e4b9839e20cc51dd2bbb4db34f57616392007b04192","observation_id":"98c25188-ed9d-4543-bef4-6064d002df24","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:97a9689e4e8ac24ef4e1e4b3b86f434ece7a36169c05ccd0bfc59802277353f6","observation_id":"f2dc1224-9b13-43f1-bb60-a9823b32551c","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:a62a823fe236b609cb883b68af1a010ba003017bdecbc7c95ce99c96990d1ede","observation_id":"8f17375a-f83a-4b99-8eb8-316f43c20210","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:f01d66c0456a63663530d25476c782e7c7e6309185a2940110379b4f1b29588e","observation_id":"745d3f56-2ccb-40d1-b4f4-dab7e98258d9","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:37ae5245e0b2bdb19782662533c94e9b740e242a7711d77c154a6717e4296698","observation_id":"d76278c4-99c8-4bd3-9819-f33a964e6d36","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:c7c96b777c67dc5cbde9b50e8f364a6060c681c82ba64aa042fcd7f38bd38e49","observation_id":"95a15996-54f8-4e3e-b97b-d51d29ee5d3d","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:669dabfb622ec4b58630bcf70a48522b29b0c2d00b7f70b29710b4e2c85aecd6","observation_id":"e1bdd4b2-ec2f-478c-8df1-3f253fa5acf7","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:f25b8bb715f8df997cc40b6be97a1a9432e738725983f59a87a9bc750368a8b0","observation_id":"32c2a85d-222a-4882-8c61-c36a96cc57fa","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:3322f6064c6e04c776108ad342ea3172328f70299d4fa55e08bab9e37ff8a4e8","observation_id":"84484896-e839-4d97-83a1-c331ce7822fa","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:36ba4fe7f549088065e638d84a4ce58ff2bd2a1908fa891f7a90c747e880d67a","observation_id":"86ac8149-3a31-4346-b92c-a5d25a9b3b3b","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:1c5e6bf05988aa67d00a12c70ac71bf0b9cf2ad430dabb65ce5aa9b98465aabb","observation_id":"9ccdd88b-409e-403d-aa2a-081a89f9a8ba","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:7456fc6b7e61c7272249175eb289b6d6b2703229165342ff598f9b727ca84728","observation_id":"e84c8910-76db-49ed-ac1a-abc1cda9c505","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:142fa3b51a71588470d72c067411e2cc9e456f90d873a72c6c6502a1d5eebb69","observation_id":"b92e583a-66e0-4941-8315-13f5ba9a40b4","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:ae9e748b7dbbf1de565dbf93258be2b1c095ae4873471a193839e102b69f2658","observation_id":"8576213d-6079-40d4-9f9c-7cc438f4e7ac","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:cbbb398bf50e6b6e7356d6795928547b7a479f4a79d02a02b097d12847706684","observation_id":"4f6d7437-8af5-4590-841e-a9647eab3eff","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:16b6110f695703e4f26c07472f709e1a05462fe5d04eed31bac5d2e18a6d9e1c","observation_id":"7ffffcc2-427d-4099-bc01-567517d5ee94","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:393a31819d659f266efc4d6e0dcc21ff7103bbe518165ef44244738ae014a56f","observation_id":"4765ca55-ef04-428d-999c-ca53a8b904bf","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:8c69bdf151c36bad44da074b482c4cf3d63193c2aae1c862f17456f6e33ad56c","observation_id":"048a3668-7a26-4c4a-a162-1341a8190234","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:549d4f523b657c19f48d50f12d5617ea7dbd7b0285348e8eb226a0160daaf277","observation_id":"a0eef6e6-d36a-4067-8ded-f6bda2dd2110","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:d21de685221ed859accb4651e4a7de2493306751ac33bb3eb47f6617e6797a60","observation_id":"f028c2ab-f522-428b-98fd-f3b13ea20154","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:022bafa49e451af363f4f9632281c87e74880e1368f6b968c49364f4d57d39d3","observation_id":"3513b1cd-ec56-4451-bfbd-997fb80aced7","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:a85279b13e395804ba61d09ec973ab1b243fbf71bdf1b202d159ea159384b295","observation_id":"55e74cb0-24c8-4ac4-ad68-644d293ccdc4","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:1c041d9eb4d529d775c3954d3289a6bbd06d211cc70bf4c3a9120b1fe7582503","observation_id":"83087caa-56ec-4cd0-8f06-db3ac1cef049","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:817db95cf065ec10995b0eafe8a3c994c94fd9848e3930506fce1fc81a5277a5","observation_id":"1e0ca4bd-7c23-4905-94fb-d473008173d6","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:e9f881a62a3d608c8260e73a20ddcd936d290dc865592d615d36a98bedce28f1","observation_id":"a38d5d3b-59b6-4819-a918-27416fad6a29","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:9656192de830695e9da68e282917b9860e216aa1c9a05276446d7c5d409e9fc4","observation_id":"03c935c0-b3d1-4e50-83a2-04b8215de4e9","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:48ccd8458d7ddb3583fbb6c0aaa3e8050beeec7beed766f798ed095fd8e5ffb4","observation_id":"9ca5674e-860b-4bf2-a784-f5f69cd1933b","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:8ec09e89ad341c8dea6aeb4cc44f28131fe127edf09cbecbaa2a433e599f294d","observation_id":"c93e6d87-9289-4cc2-b262-2e0412a4a325","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:0effabffe36556b20ee85979dc716614e9e620f98d934be3beeb5026f1bab4cc","observation_id":"ee8f36bd-ce3b-441c-953f-e020e23a2d9d","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:04800b84577468ccd4610ea9701f4479cd1bd5d246ea0e44d41fe7e93eeb2c1d","observation_id":"87b86c0a-d804-4615-8c87-26ab43d632ea","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:25a7acc710b5e51d4fb3ba8b05585d88925c4958a70467994a9df7f00adcc27e","observation_id":"97949ef0-7ccd-4fb1-8803-5cefa9a0f3fa","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:51c5b4f0e076c3a06e66cc6b5195f01b4b7ce3702da8af9f9302e5f7d43dd92c","observation_id":"2a6a143f-8823-4e56-9272-d59f783dcf0b","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:a0a41f4598e7e4fd820f452a2f2602b31195ed7a18aacdc7caa46c59c357658a","observation_id":"d2df240c-f44c-4506-9514-b12e92f9e4a1","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:376274379df9433bab1a8fdf3a6ef4641f267a20fd9f056eb534132e08670995","observation_id":"786eef70-b5ff-4c06-b36b-78d16e10e7a8","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:19dec4df84b2bfdc6afeb7fb478de50c0e2e1197bf10d13d019531d90922c117","observation_id":"8a2d5bed-806e-433a-abf8-d8b14d5c22c2","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:712b6a0e6f223f337b5f1f631ea4b2b52fbc1d735f6eb86990787f4160a0f835","observation_id":"4f5076fd-7e7e-4e9c-bf71-b95a521962ac","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.16418","last_updated":"2025-07-22T10:11:23Z","snapshot_observed_at":"2026-08-09T11:03:22.972331Z","submitted_at":"2025-07-22T10:11:23Z","title":"Defect-Mediated Melting of Square-Lattice Solids","version":1},"cited_work":{"arxiv_id":"2507.16418","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.16418","snapshot_observed_at":"2026-07-04T18:20:04.929646Z","title":"Defect-Mediated Melting of Square-Lattice Solids","venue":"cond-mat.soft","work_id":"bc779803-44cd-4ad7-bcc7-3c907c93f7cd","year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"cited_paper":"/paper/2507.16418","citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:9d81b9d9c8814640d621cdf51ce51446afa869fccc39e52302cfd4c193924bfa","observation_id":"154886ae-6f10-4720-b79d-4dac435ab6ee","resolution":{"observed_at":"2026-07-04T18:20:04.931208Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-25T22:55:34.659853Z","title":"Methods Sci","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:beb436d8a333ef3c346a89a9abbc2181277da9655b3534479030ffce78c09056","observation_id":"026fc1cc-4a31-42f8-9243-bcb5c4e46bb1","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:6299054366030b484a8319b66e6b119b4b4b066cc663c29ec5aa5d98bcc9e2a9","observation_id":"7f28a509-6594-4e26-9d76-580d93535091","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:22e19fac16778c229d8032e0ba08ddcaccc60a57b5e420eb9a307b87fb1bd26b","observation_id":"1996ce71-dc47-4540-a7a8-6d93d49fe4af","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:5cf662798b949300841156437201f9011a4906a7c30b1622ca8b3abff621f199","observation_id":"c1f511ef-0463-4ed4-b13e-da5b7536f089","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:56a7abc1336d113249c2d08bdf1b0c5c413b1813cfa26ac32a7b6a369b96792f","observation_id":"2b825047-d7e8-4850-9175-8017e79e888a","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","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":"2026-06-25T22:55:34.659853Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-06-25T22:55:34.659853Z"},"links":{"citing_paper":"/paper/2606.24091"},"observation_digest":"sha256:f7a21ab558bc0fbfac6653b7203c5c440dd194c4e62b0e8d3b3cc52b1863a36f","observation_id":"43b30301-44c0-4061-8770-0517d69d2800","resolution":{"observed_at":"2026-06-25T22:55:34.659853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.24091","last_updated":"2026-06-23T03:14:06Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-10T03:49:59.048625Z","submitted_at":"2026-06-23T03:14:06Z","title":"Two-Dimensional Phase Transitions in Classical Systems: 60 Years after the Hohenberg-Mermin-Wagner Theorem"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":98,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":250},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 100 of 250 outbound references and 0 inbound Pith citation observations for arXiv:2606.24091."}