{"as_of":"2026-08-16T01:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a02fa4cfadc1b5a7fd45e6c764d4fd13f5b9bbd6477061a376b852f2497e905f","coverage":[{"denominator":92,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":92,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T05:12:44.681400Z","state":"measured"},{"denominator":92,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":92,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2412.17911/citation-record","integrity":"/paper/2412.17911/integrity","json":"/paper/2412.17911/citation-record.json","paper":"/paper/2412.17911"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.210408Z","title":"In this case, the induced response of the dynamical gauge field ω is trivial","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.210408Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:397f78e5a5526e3e7a728602aa690e5ca06afd1ab80fa63a038d4f15ff510b4d","observation_id":"865b1778-a65e-4091-b63a-84723c1f567b","resolution":{"observed_at":"2026-08-11T05:12:44.210408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.216713Z","title":"An interaction realizing a chargon condensate is HCC = −V X r even τ z c,rΩz C↑,˜rωz ˜r τ z c,r+1 + τ z c,r−1Ωz C↓,˜r−1τ z c,r","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.216713Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:5645fb342355d21593e47d73bb6a6a5a21d289e874ad4556ae6187c44094807f","observation_id":"855734a0-d0cc-4a57-b01e-e9f4688dde6b","resolution":{"observed_at":"2026-08-11T05:12:44.216713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.221962Z","title":"A simple interaction that leads to an atomic spinon insulator is HSI = −JSI X r Ωz S,˜r−1τ x n,r","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.221962Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:262ea8575b482d0da9b3bcb76b5a0c1a25d3623cf139f6377f7d43ee59ad9b0a","observation_id":"eed4de09-e8f1-4328-9d9e-6050f578b47e","resolution":{"observed_at":"2026-08-11T05:12:44.221962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.227338Z","title":"A simple interaction that results in condensation of spinons on the even sub- lattice is H even SC = −J even SC X r even τ z n,rΩz C↑,˜rΩz C↓,˜rωz ˜r τ z n,r+2","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.227338Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:846d687fa016bf647e58f06755413d9344b008072f236a0ea6c07c9c9bd111b7","observation_id":"d360ac8b-47d4-4533-a7d1-13de4fd85bb3","resolution":{"observed_at":"2026-08-11T05:12:44.227338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.232827Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.232827Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:2001a71e47badefecf77d6f823660f950653cd21f7cedcf5d5d9338881077b90","observation_id":"4505be30-1fb1-43b6-bbb9-125a19bcea56","resolution":{"observed_at":"2026-08-11T05:12:44.232827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.238143Z","title":"Consequently, Spin symmetry gz is spontaneously 11 broken","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.238143Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:f076bfef014044f6ad37cf6381d405d30570a7a777de091438912be05b663392","observation_id":"50cddef1-2689-4f73-9bb0-a7a22002efe7","resolution":{"observed_at":"2026-08-11T05:12:44.238143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.243572Z","title":"Combining the constraints (39) and (52), we obtain a Meissner response Φ ′ S = 1, which implies broken g′ z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.243572Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:6cc42ee472e677324188fa77a9363e25cb7fe015f28111a8018d10787130f9fa","observation_id":"772864e1-c1fc-4f3f-b690-3176bb524ac6","resolution":{"observed_at":"2026-08-11T05:12:44.243572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.248562Z","title":"The chargon re- sponse does not impose any additional constraints","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.248562Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:3a3f7b7769bf577c378b0af01f22ed66499ac13cbb532b54ef9b8f3413b88e4c","observation_id":"5ddb5fce-a33b-43ff-a14e-5c799cd35258","resolution":{"observed_at":"2026-08-11T05:12:44.248562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.253468Z","title":"The induced responses (39), (45) and (48) imply a Meissner response for the dynamical gauge field but do not constrain any background fluxes","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.253468Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:4181000d72880b69f2ec3f6be303003e292d82d910850ec1df060311e5e04460","observation_id":"6fd993a8-b54d-4535-a655-b903a64fdd2a","resolution":{"observed_at":"2026-08-11T05:12:44.253468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.258315Z","title":"Both the trivial in- sulator and the cluster state of spinons carry a topolog- ical response, Eqs","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.258315Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:a0f5bb25effc7d6b3153a887b544701a40f8a638f4e4a9a1f0b706ee4ccd2f91","observation_id":"dffababb-b723-446c-95ab-7e03f754d52c","resolution":{"observed_at":"2026-08-11T05:12:44.258315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.264777Z","title":"As in Section V B 5, the condensation of chargons leads to a Higgs phase of the gauge field ω","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.264777Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:908ef76e0213dcf5e9fff72b2daa5763b474b8efab361f00d53631a361ae3000","observation_id":"9254a57a-adc2-4771-b91c-d4f847e9c467","resolution":{"observed_at":"2026-08-11T05:12:44.264777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.270591Z","title":"(62) results in H ′ VBS = −J x VBS X r Sx r Sx r+1 − J z VBS X r Sz r Sz r+1., (66) which realizes the xFM for J x VBS > Jz VBS and the zFM for J x VBS < Jz VBS","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.270591Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:8395741e97eee7a2f871dfeed98a7973b1d420c215d26a6d42ca8e21c2ec9215","observation_id":"890ba094-1d77-4678-8d00-56c3dbf713a2","resolution":{"observed_at":"2026-08-11T05:12:44.270591Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.852053Z","title":null,"venue":null,"work_id":"90acbee1-cd91-4ace-998d-aae937d94169","year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.275334Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:e91aa8be4bc0b7597edc907e5069861f92bd43286fa4a86449f183314ca4eefd","observation_id":"95c4769b-1378-43d7-bff0-5838c5ba344a","resolution":{"observed_at":"2026-08-11T05:12:45.858070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.835473Z","title":"(73) The σz operators on the lower legs are conserved quan- tities and satisfy σz ↓,rσz ↓,r+1 = 1 in the ground state","venue":null,"work_id":"96dc50b4-2504-4cc3-a0a0-758f3324500b","year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.280987Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:8763073eb3c66e3466f7dbd2f6e5895801f9ec322d56f3fce9f25e5d24745af8","observation_id":"803a4ed3-0c43-49dd-b091-86a93bfc2c17","resolution":{"observed_at":"2026-08-11T05:12:45.841617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.818984Z","title":"4 connects thexFM phase (chargon insulator, spinon insulator) to the SPT-I phase (chargon condensate, spinon insulator)","venue":null,"work_id":"31365ab8-0c0f-4c99-aece-37f3ff08f018","year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.287045Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:85a2d133bbf8766baed435e1394aef15879e02fe13adc8c665daaf74671a4a4c","observation_id":"55d57e84-aeb8-45d4-b791-f61163ccd929","resolution":{"observed_at":"2026-08-11T05:12:45.824350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.802800Z","title":"4 connects the zFM-I phase (char- gon condensate, spinon double condensate) and the SPT- I phase (chargon condensate, spinon insulator)","venue":null,"work_id":"556a98ac-0c9d-4445-9dda-313fccebabaf","year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.291933Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:931dfa3459b56bb94bea33d9afb4972f96b65bc85bf62011983892a01db06e6b","observation_id":"5e6eacde-1f1b-4a99-9e3f-057a1fa78243","resolution":{"observed_at":"2026-08-11T05:12:45.807861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.298534Z","title":null,"venue":null,"work_id":null,"year":1937},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.298534Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:86f750376dc8bf2cfd78a0bede2ef6e3533129968491a19018a17175ea99de90","observation_id":"4dd89352-8462-41fe-a484-521c3caee0a3","resolution":{"observed_at":"2026-08-11T05:12:44.298534Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.303727Z","title":"Senthil, A","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.303727Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:4ebaafffa8181d8dc0d59a5f58ca3792aa296b910fc9c36fbd019780b19187c9","observation_id":"91370eb1-2dcc-4125-a0b5-bed1c990c7f6","resolution":{"observed_at":"2026-08-11T05:12:44.303727Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.765712Z","title":"Senthil, Deconfined quantum critical points: A review, in 50 Years of the Renormalization Group , Chap","venue":null,"work_id":"bf18d8ef-1a40-417c-afee-fcb16bcb3a8e","year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.308490Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:e35a211435db9d6a9d58f644a953c568a486bc9c142afe261c4508cc15d7bdca","observation_id":"1783e6df-7322-408e-8f0f-8c1fbff43377","resolution":{"observed_at":"2026-08-11T05:12:45.771234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.749928Z","title":"Senthil, L","venue":null,"work_id":"e2ede3b3-7fcb-42e8-971a-842383e449e7","year":2004},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.313322Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:c128b1b3d19472446ee2e3be2ebb256842b7cfac0abceca7b0f1b554565b8fcc","observation_id":"d6fcd22f-83d3-4d84-bbc9-f8d6a6db6dbd","resolution":{"observed_at":"2026-08-11T05:12:45.754849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.733908Z","title":"Levin and T","venue":null,"work_id":"826ab3b5-5cde-421c-b335-e7dc323a3792","year":2004},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.318382Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:b496146ac6e2ab6ef6e0ec433b215431611ef6ea4d8d41f9a42336cdc2cf0866","observation_id":"fc266a0f-5a5a-440a-8d10-2d9546543da3","resolution":{"observed_at":"2026-08-11T05:12:45.739272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.717168Z","title":null,"venue":null,"work_id":"40b6ce9a-272a-43b7-98aa-9fd12be81059","year":2007},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.323386Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:d1a4dc62052743150d1b3934762cb7b79353792f53ce1d65e5caf97587ca8503","observation_id":"d12d496e-94b5-4343-8929-e296deef018c","resolution":{"observed_at":"2026-08-11T05:12:45.723280Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.328352Z","title":"Jiang and O","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.328352Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:7f381acb31bbdfcd036776d3cf5af4478c225b3c3bbafc842825a874ab3a63dd","observation_id":"e7745d11-f52a-4992-a12f-700aba56e469","resolution":{"observed_at":"2026-08-11T05:12:44.328352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.334068Z","title":"Zhang and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.334068Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:1d062d018779ce25e5b004a34007cd514d7f11441dc37090e3eec86b5a55351e","observation_id":"8938e901-bf43-4488-855f-06df58e2fa0b","resolution":{"observed_at":"2026-08-11T05:12:44.334068Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.339111Z","title":"Roberts, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.339111Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:e6b23efe63b36a1ebcaf5f3ca3ab92522a05a30312b54e795ff9c7e6287027c4","observation_id":"be62b93c-d699-4bb6-ae0d-fefb36aa94ab","resolution":{"observed_at":"2026-08-11T05:12:44.339111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.343932Z","title":"Huang, D.-C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.343932Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:1c61d39ef24e36616848a8871c7f5918ea5d97aaa96c9d7b3d863a26b6436d8f","observation_id":"2e6d58e6-6e75-47cf-acc0-1132f495ef38","resolution":{"observed_at":"2026-08-11T05:12:44.343932Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.349391Z","title":"Mudry, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.349391Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:57c3441495c83d6e52a491e531e5eaa21a166eeddf117511e11ea2ced4deb61e","observation_id":"1fe6fbb9-f1dc-41e9-a5b0-c957022b8b9a","resolution":{"observed_at":"2026-08-11T05:12:44.349391Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.354941Z","title":null,"venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.354941Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:0e85a1b169f01c3805472b54801f9fa1196968d0d20e0394a89aeaad9a7a3838","observation_id":"0245a2d9-cc6a-4938-852a-798ef0953b28","resolution":{"observed_at":"2026-08-11T05:12:44.354941Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.360319Z","title":"Oshikawa, Commensurability, excitation gap, and topology in quantum many-particle systems on a peri- odic lattice, Phys","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.360319Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:8003d1abb97f5c7544848dbf675cc821af3fc989da050752b8cb2780c3581561","observation_id":"5b3eaa97-1188-48ca-a3a0-ea29c6993f87","resolution":{"observed_at":"2026-08-11T05:12:44.360319Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.623405Z","title":null,"venue":null,"work_id":"4b8c6120-ac95-424e-a38a-e55d61da9e85","year":2004},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.365642Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:6e04f3a4e0368e06e30294d5f67e3ce0c296795eaf6f63a50ef2cea1fa26d26e","observation_id":"2ce51267-4f50-4dd6-90bc-7cf1fc1833d4","resolution":{"observed_at":"2026-08-11T05:12:45.628857Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.606984Z","title":"Watanabe, H","venue":null,"work_id":"f4452de7-a912-468b-8716-72bbb72e8161","year":2015},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.370870Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:6f43c523dc2422b0d75450da1e2f7477aa480764845af7a82d6a0cf2cf6ce107","observation_id":"3dbf80d2-71cd-43e4-9b56-062c70b01715","resolution":{"observed_at":"2026-08-11T05:12:45.611747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.591127Z","title":null,"venue":null,"work_id":"8765b318-833b-47ad-b274-02d2bd81ad1c","year":2017},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.375909Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:73ddfa6479cc0435829c6165d30cfdbe181487b47823323cf28024427da103cd","observation_id":"99450107-e618-4eee-a5ab-da9c369a877a","resolution":{"observed_at":"2026-08-11T05:12:45.596026Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.575443Z","title":null,"venue":null,"work_id":"19f5b0f7-e21d-4c05-b28a-aaafae1e80bc","year":2020},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.380955Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:b3f13673389cc91986fd4ce063259bd973625890f7c97dca39557dba361f2be3","observation_id":"16c29676-023e-49c2-a067-c26a127ce2e7","resolution":{"observed_at":"2026-08-11T05:12:45.580342Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.558154Z","title":"Lu, Lieb-Schultz-Mattis theorems for symmetry- protected topological phases, Annals of Physics 470, 169806 (2024)","venue":null,"work_id":"50a42a8f-b725-4e49-87c7-52060947b7ed","year":2024},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.385739Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:8b8344e968b86e024081c589efcf94c94705774bc5642f528ce5e47788618aa7","observation_id":"2d6e9834-f7bd-490e-9fc7-ea623919d4f4","resolution":{"observed_at":"2026-08-11T05:12:45.564309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.542500Z","title":null,"venue":null,"work_id":"dd7c2769-31ee-41ed-8ae0-7d1609e1864b","year":2018},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.390908Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:0f89c7928ebde191f1133183d01e6fec7ea5b9758690ba161341befc7922e23b","observation_id":"22234449-41e7-4a99-acc8-2582222522d8","resolution":{"observed_at":"2026-08-11T05:12:45.547492Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.395981Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.395981Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:b199a428ebbf2638a91542795e938266d4eab75460f298e6f97aed0c1be4e6c0","observation_id":"5d7ff94a-7d22-45ab-a8fa-01e2537cfb6b","resolution":{"observed_at":"2026-08-11T05:12:44.395981Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.400569Z","title":"Cheng and N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.400569Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:2ae07df5b6d2ca25768052bcab6d00921616edfeb7ce52a639987f87b8a1a44d","observation_id":"cd9f2e5b-f4ab-4977-b086-7eeba8dfe5b3","resolution":{"observed_at":"2026-08-11T05:12:44.400569Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.405192Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.405192Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:8f391488917dc8a9f8d4712f4addf8944ca659743b3deeeeab3ba0e5b5c8d500","observation_id":"0f82b08b-bd49-4a6f-a309-bcafb2f71ccf","resolution":{"observed_at":"2026-08-11T05:12:44.405192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.493698Z","title":"Yao, C.-T","venue":null,"work_id":"ec183827-443a-4f7b-8856-e65fb7ef1065","year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.409948Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:7befc65924e9c4a214cb620624d684d3af722dce283907631cf05000fbfd9433","observation_id":"f5d78e99-127f-48ab-b4b9-16d88de0910a","resolution":{"observed_at":"2026-08-11T05:12:45.500582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.414989Z","title":"Seiberg, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.414989Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:1da5311c5b9d68dc060426ceb82b01b89b68ecab4e13bb9a14748d51cb8c8f47","observation_id":"d1bb5c9c-8642-40c9-a571-f0de4e909515","resolution":{"observed_at":"2026-08-11T05:12:44.414989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.465915Z","title":"Yao and M","venue":null,"work_id":"fdcb46b4-bdb1-4fe7-ad61-fb957403c698","year":2021},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.420027Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:6c00108aca0138591d262d23aafcebbc7f2f98ececed3bc219725b4fe4aa03c0","observation_id":"79628d3d-9933-472e-9380-fe7c6bd29312","resolution":{"observed_at":"2026-08-11T05:12:45.471318Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.425439Z","title":"Mudry, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.425439Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:2d9a8c2a1a35ffc53dec74e485d00293313908f3150150454601e1a43a1b1d13","observation_id":"d943c78c-caa2-412d-9ee0-6c80d73f81ac","resolution":{"observed_at":"2026-08-11T05:12:44.425439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.438664Z","title":"Cheng, Fermionic lieb-schultz-mattis theorems and weak symmetry-protected phases, Phys","venue":null,"work_id":"3bbe6e3f-0fd6-4c44-8cfc-e1baa0b00250","year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.432474Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:15e79355385416eb2ebf3adf5ff23d1bf43a9a635dd45f9848f766b94d391388","observation_id":"91630bc8-11ef-41e4-bca8-f4674e5b711f","resolution":{"observed_at":"2026-08-11T05:12:45.444047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.420757Z","title":null,"venue":null,"work_id":"7a991a16-5e45-489c-9468-3861b54444de","year":2018},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.438326Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:f428fdaf305e42188a1a8860a54a74d4bdf7731001dd49979f4996ebeef9e5b9","observation_id":"ea05fd85-4f80-4dd8-9192-9a7ffaf82298","resolution":{"observed_at":"2026-08-11T05:12:45.426398Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.443500Z","title":null,"venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.443500Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:0f57a99dfea15f7c795de3c00e1dc856b55414d4545df0d7d8b2f4cbed2db361","observation_id":"5ede0ece-6cbb-4d10-b4ef-7bc8f760e3b4","resolution":{"observed_at":"2026-08-11T05:12:44.443500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.393691Z","title":null,"venue":null,"work_id":"57fbaea9-5d21-42fe-b2ae-5eeb76e134a0","year":1978},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.448411Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:9300bb5d823b6475238cb6dfdf5aac0ef636570d463ea1c40bb7203efa6eb813","observation_id":"c793232c-42ac-457c-b87d-4a32d25698ff","resolution":{"observed_at":"2026-08-11T05:12:45.398954Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.377240Z","title":"Dasgupta and B","venue":null,"work_id":"ecd411d5-57d8-4543-bbbf-b378992aec89","year":1981},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.453238Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:b390e375cd2065201b71e137e8d0ff12fce3468890aed24f56b2f082607c4628","observation_id":"a92e7243-d626-4edc-9812-2dcd68213577","resolution":{"observed_at":"2026-08-11T05:12:45.382474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.361255Z","title":"Karch, D","venue":null,"work_id":"9db1a10d-a882-407d-ad66-0d97e63b7e92","year":2019},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.458656Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:2ceb1a563202873ec294c6d892ea4ed8fda4d405c4e0360ee0a295f8732c5196","observation_id":"ec54d8bc-aa6e-4c4a-8f1e-1517fab3f33b","resolution":{"observed_at":"2026-08-11T05:12:45.365986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.345177Z","title":null,"venue":null,"work_id":"6543761d-f33d-4fa9-93eb-a24cc4daf44c","year":1983},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.463621Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:23837167a7bb9c1fb6b21b72c7238549ed07a8922351acd3a40c1fbb4e92f1da","observation_id":"d756ebbc-b254-43e2-be1f-1cdd657b37a8","resolution":{"observed_at":"2026-08-11T05:12:45.350618Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.468638Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.468638Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:26edbd8a61464106212f99c120baf74159e16605005bca5abad2918ddbeec034","observation_id":"63e19a2e-40c3-4c2f-8269-0c6213b2f924","resolution":{"observed_at":"2026-08-11T05:12:44.468638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.473671Z","title":"Witten, Fermion path integrals and topological phases, Rev","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.473671Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:389943068e96b389765b5ccf4010eefb8ae92506448c1b1f26edcd2a99672ed7","observation_id":"27ae7aff-6450-421a-880a-2fee07afd7de","resolution":{"observed_at":"2026-08-11T05:12:44.473671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.304786Z","title":"Witten, The “parity” anomaly on an unorientable manifold, Phys","venue":null,"work_id":"362fdc97-9fd0-462c-bc44-053a279a924f","year":2016},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.479585Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:b50de05687a09d37a010a24b97d638c0b0708ed1d8e20c9ec936f3cfd1b919df","observation_id":"49b3c5e7-4868-4cfa-a7ed-070e75a71dc5","resolution":{"observed_at":"2026-08-11T05:12:45.309830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.287354Z","title":"C´ ordova, D","venue":null,"work_id":"ab4b25bc-aa44-4861-b7d5-4cdabbe5c53c","year":2020},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.485038Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:cc1e344a5d3ce724cc58a17bd152949a9b1efc5020c15790b7f25a65f202a98a","observation_id":"ecad8e1c-c567-4aa6-9a22-1070f14aa0bd","resolution":{"observed_at":"2026-08-11T05:12:45.293005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.270572Z","title":"Seiberg, T","venue":null,"work_id":"4a84678f-9b06-4254-b4fa-2e57ac09040b","year":2016},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.490223Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:51fcf04485a2bd55d96fe2b039bbc99b70ed4b7d1e42dd52aa3451888abf5ba3","observation_id":"dbfef433-3b47-46d1-a6e0-3280929a4186","resolution":{"observed_at":"2026-08-11T05:12:45.275695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.253888Z","title":"Karch and D","venue":null,"work_id":"55c7a02d-a115-411a-945d-bcb266ed82ae","year":2016},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.495579Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:377b6d7c56d8c8531539dbaa2b4e28d47e69bbce6a5c03897b31919e128f5c42","observation_id":"4caeafe4-5425-4b64-80a7-d2f1fd242f7a","resolution":{"observed_at":"2026-08-11T05:12:45.258860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.237318Z","title":"Boninsegni, Phase separation in mixtures of hard core bosons, Phys","venue":null,"work_id":"5d84279c-79a4-4d2a-9c32-efff6591cdf3","year":2001},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.500657Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:530f28098e675becab59594e1b1450ce8714e2977a8bd8c52cd59b509e8e3303","observation_id":"73a1263b-c09d-40b8-aa66-9fcc0fbc6f1d","resolution":{"observed_at":"2026-08-11T05:12:45.242605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.505690Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.505690Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:d525fa697c9fab6f2d8fb224a40a35fdbfa8891c728705dad150b20dec17e9c3","observation_id":"203dcf4f-13a4-43d5-b650-c932e56b3d4a","resolution":{"observed_at":"2026-08-11T05:12:44.505690Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.210401Z","title":"Witten, Constraints on Supersymmetry Breaking, Nucl","venue":null,"work_id":"61ae7402-4f2f-48a6-bef5-07e44137b79e","year":1982},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.510766Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:85c68e8bf4e9c3826ed27379b38bdbe508822397d65b98eba5da7fe5f04bdcd7","observation_id":"dd4de34a-6b65-43a7-94b7-8bcca1b17e6f","resolution":{"observed_at":"2026-08-11T05:12:45.215975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.193745Z","title":"Shiozaki, H","venue":null,"work_id":"4d025716-9914-4734-9d0d-1666f77d73f1","year":2017},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.515519Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:1a7f4426cfa558e130c7dc2040fb9f1ca309cb0a9e3208905301399609da464b","observation_id":"3e54c43d-d9b0-49ee-a29c-7789228a9799","resolution":{"observed_at":"2026-08-11T05:12:45.199011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.10993","last_updated":"2024-01-19T19:21:25Z","snapshot_observed_at":"2026-08-14T07:50:21.172541Z","submitted_at":"2024-01-19T19:21:25Z","title":"Mixed state topological order parameters for symmetry protected fermion matter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.10993","snapshot_observed_at":"2026-08-11T05:12:44.520722Z","title":"Huang and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.520722Z"},"links":{"cited_paper":"/paper/2401.10993","citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:a1b2cff08e8d8b466975a1d09512f1d3f7514ed5b3b01165374364cfe739b0c9","observation_id":"6403b56c-a189-4f0d-87c3-41ef26c78399","resolution":{"observed_at":"2026-08-11T05:12:44.520722Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.176511Z","title":"Read and S","venue":null,"work_id":"39906656-65d7-4dea-9354-9c543f8ffc2b","year":1989},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.526006Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:496c75922b528fdb5c20aa9b8d46f0b51dab628f532468659153a3f116fc28b2","observation_id":"16d1bf9a-d2fa-490d-92a2-2ecb27a62baa","resolution":{"observed_at":"2026-08-11T05:12:45.181860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.531053Z","title":"Affleck, T","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.531053Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:0f02d662b9dc79cc4ab7b484322d71a3557dc405212e47063cf85fea96d9355b","observation_id":"11de30e7-47cb-4aa8-8758-de4b45c354e1","resolution":{"observed_at":"2026-08-11T05:12:44.531053Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.536290Z","title":"Gu and X.-G","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.536290Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:201880c2c302d87fc11aa694b6a7b9a55868db6461f40fbcee32be1462a3552f","observation_id":"15a70399-2b4f-43b1-bd6a-0c48c6ab53f8","resolution":{"observed_at":"2026-08-11T05:12:44.536290Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.135904Z","title":"Senthil, Symmetry-Protected Topological Phases of Quantum Matter, Annual Review of Condensed Matter Physics 6, 299 (2015)","venue":null,"work_id":"2ac75f79-2aaf-47a2-8f08-9426506a896e","year":2015},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.540882Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:470c2301afc42dfb7508cff36a867c79d0d764b2cd8d0d5e12d59df029b67548","observation_id":"bed1df81-f7e6-4640-9598-de23ddde2ccf","resolution":{"observed_at":"2026-08-11T05:12:45.141985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.118878Z","title":"Dijkgraaf, C","venue":null,"work_id":"125c62ba-0a50-49b6-a6ef-fc320918ba4b","year":1989},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.545637Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:5ff1c2992c2ad627aa41d6ebf12a4b82f0c1a7f64f8b94cb1c1385b2443bb6a3","observation_id":"b39c927a-179d-4d3f-beed-677f3b8f6fb2","resolution":{"observed_at":"2026-08-11T05:12:45.123943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.102050Z","title":null,"venue":null,"work_id":"6620e048-d581-440c-a976-347e0c89893f","year":null},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.550785Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:f2b01dbfdda46be6fef8ad136b895462e6630b2da0594e1639a29ab713ea74b9","observation_id":"2c09409d-45d3-49fc-ac44-9a96afc230e9","resolution":{"observed_at":"2026-08-11T05:12:45.107128Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.556352Z","title":"Senthil and M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.556352Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:82622eeac0364102d209d950f43b61809fbf909948c46c5064422377c6da020a","observation_id":"090fe386-eb5b-409a-80b0-1b8658c56129","resolution":{"observed_at":"2026-08-11T05:12:44.556352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.562111Z","title":"Fradkin, Field Theories of Condensed Matter Physics , 2nd ed","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.562111Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:a1dea730e52863f17a1053516b01247102288856d836cae41dfc0d68c8c19530","observation_id":"272744eb-db08-4085-a91d-61d6720b6e36","resolution":{"observed_at":"2026-08-11T05:12:44.562111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.060161Z","title":"Sachdev, Quantum Phases of Matter (Cambridge Uni- versity Press, 2023)","venue":null,"work_id":"fbbfa817-b66b-4e8a-a71d-5b366d4976d9","year":2023},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.566904Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:6014519a6db9adeeac2c57a37eec44b50afa36d0627a195a2b1fa7830d46182d","observation_id":"946b4e8e-1c67-46aa-a5df-99e3b1b7d4cb","resolution":{"observed_at":"2026-08-11T05:12:45.065696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.572427Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.572427Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:16eb54ff06a106a86b5872ed91fb13b3069c54032ef6decebd72349ef8912e65","observation_id":"18de9823-d90b-4b21-9c6e-3a3bd7190edb","resolution":{"observed_at":"2026-08-11T05:12:44.572427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.577090Z","title":"Chen, Z.-C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.577090Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:a532f2472de6ac32e9f900507672be8e1f2f5022764742e5a03c17af8d5a9703","observation_id":"d528ca8a-11a6-4ec5-9eaf-ec3488ed475a","resolution":{"observed_at":"2026-08-11T05:12:44.577090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:45.017785Z","title":null,"venue":null,"work_id":"25df9b46-8bb5-4cb8-b76c-e2ee68b286a3","year":2012},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.582002Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:10c2ba99bee668fbd78e5d92cf4793401f18876bc41f58c2bb4d0d0e0b6de2c7","observation_id":"06976882-9437-4cd2-89e7-4ab70a6d6808","resolution":{"observed_at":"2026-08-11T05:12:45.024231Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.586744Z","title":"Raussendorf and H","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.586744Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:06068b4e60be03131b576cf03c804b3295a205565383a4776a377af2fb134b52","observation_id":"ce69b732-e7f0-4fde-b558-e1f8029a2080","resolution":{"observed_at":"2026-08-11T05:12:44.586744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.990853Z","title":null,"venue":null,"work_id":"c3d73328-a671-4267-8968-0306b435b260","year":1969},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.591350Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:8e7191ed07e506b381758f924ced56839a050646735ffefdf2ddd1073e24c6a2","observation_id":"e0301ab3-e9cf-44d1-bd31-86e1ede47955","resolution":{"observed_at":"2026-08-11T05:12:44.996083Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.596997Z","title":"Verresen, R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.596997Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:11e502f0d9f7b76a134c1fe6d6ed3c10131db8fc2d3267524034e15a82ac0134","observation_id":"49539cb7-68d9-4216-b9e8-4edfc2141c69","resolution":{"observed_at":"2026-08-11T05:12:44.596997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.962855Z","title":"Di Francesco, P","venue":null,"work_id":"5fb8fb5d-2316-4162-95d7-72ddfcb8f242","year":1999},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.603065Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:603fae10cf4f61176b5949adf95e39efd4dad478e0f70132b412ae38ec0b8473","observation_id":"984a9b05-a19d-46f3-b374-50ed8df839c7","resolution":{"observed_at":"2026-08-11T05:12:44.968002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.607969Z","title":"Giamarchi, Quantum Physics in One Dimension (Ox- ford University Press, 2003)","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.607969Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:552b56f2912c5f671d4bf42110440655dbf1bc32b8af508e22db0333be2b4d68","observation_id":"5dc4990a-8cd1-4193-ba84-7ba9dd1bfa6f","resolution":{"observed_at":"2026-08-11T05:12:44.607969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.935179Z","title":"Stone, Bosonization (World Scientific, 1994)","venue":null,"work_id":"c1435c31-da50-4baa-9fcc-8538e6a35802","year":1994},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.612863Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:3eb4a2063cab23f1a7e9056d1192adbd5450ad1f220e311f847d34a5aa4a28b3","observation_id":"f2bd8a0a-9ca8-4d80-b540-22188b088e4d","resolution":{"observed_at":"2026-08-11T05:12:44.940798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.919162Z","title":"Shankar, Bosonization: How to make it work for you in condensed matter, Acta Phys","venue":null,"work_id":"81664a3f-b7bf-49e3-a824-0632e37a3605","year":1995},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.617677Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:52198e13db98bfff483b137fc8cad98534a25ed99afd9734dda1d4b1feac1157","observation_id":"dc8be511-46a4-4e94-9a0c-1a3e9a09541f","resolution":{"observed_at":"2026-08-11T05:12:44.924317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.901436Z","title":null,"venue":null,"work_id":"0d08e6a2-b337-499d-82ab-273c80641dfd","year":2004},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.622657Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:62366dc0c3c8c289253d9d97645be45d27b44b3207511aff674d59ea2757513b","observation_id":"60975332-10fe-44c6-b4e9-b48ca4c4e05a","resolution":{"observed_at":"2026-08-11T05:12:44.906697Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.883555Z","title":"Lecheminant, A","venue":null,"work_id":"28e1b4b0-e782-4460-a25e-6fd7a5e8c256","year":2002},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.627916Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:c0d490ecf8e9e0c9d339aa956df8450342a52f45aafd7b3303da5050b61d08c7","observation_id":"ac7316c7-1ef4-4bdb-9d77-e60ef0065d0a","resolution":{"observed_at":"2026-08-11T05:12:44.888735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.632687Z","title":"Ashkin and E","venue":null,"work_id":null,"year":1943},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.632687Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:07f73346afcb0ef3eb2c01bf6dd16e2f63f5c1ccdd5d7ffa67f5e5eb492ecde1","observation_id":"b228b0d8-f679-4a78-b44b-325218456e72","resolution":{"observed_at":"2026-08-11T05:12:44.632687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9108028","last_updated":"1988-11-11T15:39:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1988-11-11T15:39:49Z","title":"Applied Conformal Field Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9108028","snapshot_observed_at":"2026-08-11T05:12:44.637705Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.637705Z"},"links":{"cited_paper":"/paper/hep-th/9108028","citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:1d9565274335dcadd19de302431d66eb5ac031b686e3912404b6378584ba1864","observation_id":"b80908d3-ec2d-414e-b86f-42be497df930","resolution":{"observed_at":"2026-08-11T05:12:44.637705Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.855509Z","title":null,"venue":null,"work_id":"399228d4-1106-45be-bf79-67609aa09ac2","year":2020},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.642862Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:cb23e27771febfea81eee922feef002aac3491a0a56b5ec9e5752a9b41a9d9ce","observation_id":"0f6a0b56-d103-4940-a12e-8691af95db81","resolution":{"observed_at":"2026-08-11T05:12:44.860810Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.647673Z","title":"Seiberg and S.-H","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.647673Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:7de35d53a7c5cacb28ddc1972a0bd69258030257b3c36711cd4f43e92dd772d5","observation_id":"1b479c17-8cbc-48c8-a00a-2193844ceafe","resolution":{"observed_at":"2026-08-11T05:12:44.647673Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.825970Z","title":"McGreevy, Generalized Symmetries in Condensed Matter, Annual Review of Condensed Matter Physics14, 57 (2023)","venue":null,"work_id":"116d43a6-6983-4d5a-944e-b5be4a0ff92e","year":2023},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.652383Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:21b465796ee3a44137387d71753dfc91f971e808dc84c0d3cb18015ee13b924e","observation_id":"81782d05-64fa-41f2-817f-31a99850e79c","resolution":{"observed_at":"2026-08-11T05:12:44.833254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.00747","last_updated":"2024-03-30T04:03:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-08-01T18:00:01Z","title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.00747","snapshot_observed_at":"2026-08-11T05:12:44.656840Z","title":"Shao, What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries, arXiv e-prints , arXiv:2308.00747 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.656840Z"},"links":{"cited_paper":"/paper/2308.00747","citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:5e79b062599135ac1d2d3f9554ad6d39134269ad456dc9085556dc0c88b29594","observation_id":"824e7900-4086-4f0b-8984-e249ef4108b7","resolution":{"observed_at":"2026-08-11T05:12:44.656840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.661879Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.661879Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:9321be9acc1080eaa4b5f928f5d31df61530a032765c6436aebf000c1d0ef7ee","observation_id":"200d0240-f71c-4a98-9c06-f6e19f969401","resolution":{"observed_at":"2026-08-11T05:12:44.661879Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.666610Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.666610Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:3aac1c4be541bb50566610b8d76f2b713f160380b609b6c7f6615692ae1ee6db","observation_id":"796c2ac0-02a5-474a-8cd9-7d65472c9cc9","resolution":{"observed_at":"2026-08-11T05:12:44.666610Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.671359Z","title":"Lake, H.-Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.671359Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:c831ecfb70e7112a94e2e9e74e227a1a5436bc97ca351b0ab5e0fa4acd75c9bd","observation_id":"b52bcda5-5635-42d9-91c1-328aca20a367","resolution":{"observed_at":"2026-08-11T05:12:44.671359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.775673Z","title":"Seifnashri and S.-H","venue":null,"work_id":"ec0e47ba-07e2-4c32-9302-c5f0e5c60841","year":2024},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.676010Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:eae36d914031372ea2ad727c1d047a0a75fecdd22e624008f87663d83ff95462","observation_id":"073f1b29-4dae-4111-b30b-9f023cf5fb59","resolution":{"observed_at":"2026-08-11T05:12:44.781917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:12:44.681400Z","title":"Kitaev, Unpaired Majorana fermions in quantum wires, Phys","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-11T05:12:44.681400Z"},"links":{"citing_paper":"/paper/2412.17911"},"observation_digest":"sha256:934104ef58b65b92ee4abd26eb93319fe5e13a0f817e3f11827094a7dbfea00e","observation_id":"dcccd6e6-5ae6-4d81-80c9-a017f8e6198c","resolution":{"observed_at":"2026-08-11T05:12:44.681400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.17911","last_updated":"2024-12-23T19:06:21Z","latest_version":1,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-11T08:56:18.598701Z","submitted_at":"2024-12-23T19:06:21Z","title":"Exotic phase transitions in spin ladders with discrete symmetries that emulate spin-1/2 bosons in two dimensions"},"reference_resolution":{"displayed":92,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":62,"verified_exact":0,"verified_fuzzy":30},"total_outbound_references":92},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 92 of 92 outbound references and 0 inbound Pith citation observations for arXiv:2412.17911."}