{"as_of":"2026-08-06T02:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2f9086f387dce02bf068d1a57357152581cac9413ae210c3e9a729c439d6c078","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T13:07:22.051854Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T11:10:30.334417Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-06-29T11:13:20.808570Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"cited_work":{"arxiv_id":"2604.13451","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.13451","snapshot_observed_at":"2026-06-29T11:13:20.808570Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","venue":"cond-mat.mes-hall","work_id":"e848a9d3-4b22-4ad9-8190-ba9f7782c446","year":2026},"citing_paper":{"arxiv_id":"2605.27822","last_updated":"2026-05-27T01:30:02Z","snapshot_observed_at":"2026-07-06T23:37:31.844094Z","submitted_at":"2026-05-27T01:30:02Z","title":"Spin-Hall-Like Magnon Transport in a Synthetic Antiferromagnetic Skyrmion Lattice","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T11:10:30.334417Z"},"links":{"cited_paper":"/paper/2604.13451","citing_paper":"/paper/2605.27822"},"observation_digest":"sha256:b5a7042302e0ae9c70fa113d4674cba7fa383436a193e7a554146671b0444206","observation_id":"37fd89c7-b953-4e22-9d0b-d739686f46eb","resolution":{"observed_at":"2026-06-29T11:13:20.809969Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2604.13451/citation-record","integrity":"/paper/2604.13451/integrity","json":"/paper/2604.13451/citation-record.json","paper":"/paper/2604.13451"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c88baeed-4304-4f9b-85fb-5e4faca0af12","year":2020},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:972bb477c40c1c6dc392fbda15c66fc91ab5b237a8c3b59a536810747961b5e9","observation_id":"98afdcad-38a7-42d9-b318-712eb2e9cb94","resolution":{"observed_at":"2026-05-19T01:36:59.213281Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhang, M","venue":null,"work_id":"ad56ae2c-c53a-4619-9573-97b2d9f853f3","year":2022},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:ba2f8593fc4afdf05dc6cdc6c3c504bad47678a18ba765fa78b38348ddd6e858","observation_id":"7923ea0a-d692-45e1-ac31-1a0e0fefe807","resolution":{"observed_at":"2026-05-19T01:36:59.205190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"76411c1f-77f8-4eb2-959f-b0b5714549cb","year":2020},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:dbb1cb6cbf52b25b61c9d2cbcb81ada529012d35451968784e9a7cb586308796","observation_id":"d0fb93ad-70c4-4113-bb4f-759334e2c743","resolution":{"observed_at":"2026-05-19T01:36:59.217153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hagemeister, A","venue":null,"work_id":"3c3838cc-8ad9-414e-9404-3804d0d2234e","year":2018},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:078b1b32d225a9e9e58651b1694c383ac07cbdbaaa4fdd0c0fef0671b2b1ddc8","observation_id":"04a58d02-2ab3-4b63-acbd-089a5e45a5eb","resolution":{"observed_at":"2026-05-19T01:36:59.209272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zheng, H","venue":null,"work_id":"19eca186-b567-4af4-a4f0-37e214457967","year":2017},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:824f0f00bd6787d42986458758ddab8799d4da0a8dce4593ba2a8e69896c6f1d","observation_id":"ffd22531-98b2-4e77-94a8-7e9183456458","resolution":{"observed_at":"2026-05-19T01:36:59.240154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Finazzi, M","venue":null,"work_id":"89bba6e1-97de-4145-b2b4-dc5aa3f13fd1","year":2013},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:515848af2804d26fbc8d5b6da792c1cb7e16ab1b2a3d7273056489ee68486a18","observation_id":"5792cc46-627d-4611-8abd-6e7e244f4490","resolution":{"observed_at":"2026-05-19T01:36:59.224821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Fujita and M","venue":null,"work_id":"346aec2a-b7b3-4d2d-975b-2705c99d92f7","year":2017},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:b9d1318be59ee795feac949f15be1bd2747cc3ec14f8e26eeb6b2ea724a0ac8f","observation_id":"3e2c0020-eae7-4653-9bff-3730721b3e43","resolution":{"observed_at":"2026-05-19T01:36:59.259177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Berruto, I","venue":null,"work_id":"8e1d5baf-5d32-46e2-8a18-de5cc6b6e7e8","year":2018},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:baccb6d4055a3f5809e3e3f891a6b38b9d1f9de967291bc1fccef22820c2b953","observation_id":"f12720bd-123b-44b1-9519-a45a3e62e389","resolution":{"observed_at":"2026-05-19T01:36:59.228680Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Koshibae and N","venue":null,"work_id":"f010c534-e3b0-4431-824e-299af07b0843","year":2014},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:2e80d338a5113606f66becc0fec521efd7374d61092e10c575e3f1f023db4dae","observation_id":"3215f92a-78b4-4145-ac7b-ea7df8b1ae42","resolution":{"observed_at":"2026-05-19T01:36:59.266833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Guang, Y","venue":null,"work_id":"609b7793-35f6-46df-a06d-fc96d3497d4c","year":2020},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:3c050aaec589f3b73f8c13f2bd265b7180532c3ce6170ea1fd66b5f34b7aa3d2","observation_id":"c6f22c9c-0d66-49ce-a812-f3b35d015a57","resolution":{"observed_at":"2026-05-19T01:36:59.263173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Guang, I","venue":null,"work_id":"7e9e526b-8e16-4213-b2a6-21f40d2bad9e","year":2020},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:a37b07aec08abbfa3e1f45bc409a9ea1c78716cab23ae507be54723f1127e718","observation_id":"e6f335d0-3a4e-4f3f-a57c-806c86a2e536","resolution":{"observed_at":"2026-05-19T01:36:59.254432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hrabec, N","venue":null,"work_id":"38a8d648-a4a9-4def-bd01-9951fd319e69","year":2014},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:c28eaf35af8619e3940dec389ac4ba7531e7036c6f36ac96187074a484bab641","observation_id":"f8adac49-fd6d-4f70-92e2-391280f9a86a","resolution":{"observed_at":"2026-05-19T01:36:59.232235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Koyama, Y","venue":null,"work_id":"4a86f5b8-fa1a-446b-be1b-b687276c71e0","year":2018},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:0c516cb2397772a9b3ed3255af7519b7f0d0174fad66e9564d41031f78b5a05e","observation_id":"477e702d-9183-4ece-be78-efb7a6183317","resolution":{"observed_at":"2026-05-19T01:36:59.247794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a773a870-b00f-498d-9763-a90645f87f74","year":2021},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:02847f39bef744d1575ecde63c92b52eac32175dedfbcc664170d226a2e20820","observation_id":"07fe6c5f-9ca3-446e-bd45-298390e1fcf9","resolution":{"observed_at":"2026-05-19T01:36:59.220934Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hrabec, J","venue":null,"work_id":"3a9e1215-cd0c-4f77-b9cb-077c1d1b75f3","year":2017},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:856bfec61b0e2725c327bd1d4374f78996a3bc9d1f91a8c932f7cbf9a5024fa1","observation_id":"59249668-9e98-4078-8297-7d6d23afaafa","resolution":{"observed_at":"2026-05-19T01:32:57.257120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Lemesh, K","venue":null,"work_id":"cd9eac1b-d67e-402d-8e22-27a69b17e657","year":2018},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:90170b7b4f3575ad7fe0f219d12a1b02034dfb16621660119b9c6cb3223e0992","observation_id":"f881facf-2018-4313-8dc9-d8d08d2bf5a4","resolution":{"observed_at":"2026-05-19T01:32:57.260078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c069f43e-e594-471a-af9e-7194cbe74337","year":2024},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:4b9b90ab1eb7f545fa960db85150db4d45f55bf063e7aaab20dbe58a55f3be81","observation_id":"a106aa0c-ccd0-47cd-99dc-a3bd3737831e","resolution":{"observed_at":"2026-05-19T01:36:59.270600Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Shimojima, A","venue":null,"work_id":"8d6df2be-3004-4a4d-a007-5b8b71ed0536","year":2021},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:52b17fda655cd8f184cc9881c00fc7a2b0cfe77f8fd8e6d1e59e42c4c4ae390b","observation_id":"aa981462-543a-4ad2-baf1-a67bbb0c1796","resolution":{"observed_at":"2026-05-19T01:32:57.405367Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zelent, M","venue":null,"work_id":"0a2babf1-59d8-4265-b492-c98de079c909","year":2025},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:aa6ba7a5b9b59543dbd15af4c37316a754703120e39e6bc36ac57e4928212158","observation_id":"fb19f811-afd5-4c49-a5bf-aebba2f374f2","resolution":{"observed_at":"2026-05-19T01:32:57.395625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Vigo -Cotrina and A","venue":null,"work_id":"6bce3dbb-8764-4a36-a394-21f56de42de6","year":2020},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:5cbb45c0a838a65ddd28e6f1e1f6eedab9080f88a8e21f4282c0a8ed22338cdc","observation_id":"0e5fa6fa-3b7d-4344-b34d-9bf994c209c6","resolution":{"observed_at":"2026-05-19T01:32:57.402402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhang, D","venue":null,"work_id":"7356580d-6969-41f7-95d1-b8863f7fc56e","year":2022},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:894cd89dca8ae6c49ab468ecb29208fc3b4c89eec19cdfcf07eb2685b5e99323","observation_id":"5d62e64b-28b2-4ff8-bb77-f00623f53c99","resolution":{"observed_at":"2026-05-19T01:32:57.391978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"32b2221e-62e7-4437-806e-a5d64729066b","year":2019},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:c9a70815dedb9aa75a51a05e18d098215ca741a0ce5e8f76d8c28d9bf115a736","observation_id":"beba27f3-bbfe-48af-a587-8a01cfcab4b9","resolution":{"observed_at":"2026-05-19T01:32:57.374099Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhang, J","venue":null,"work_id":"af01698d-d577-4df9-a0a2-e972a26e69bb","year":2018},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:0dd1aa9b1c31dbb8c3487c6717ee7a02a9399c0e4f004877095a1edcc8f4456f","observation_id":"4a117dba-b88a-4207-b84c-49314ff01cab","resolution":{"observed_at":"2026-05-19T01:32:57.399066Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Göbel, I","venue":null,"work_id":"35d57492-beaa-4f2a-ac96-c311a7027b9e","year":2021},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:4681c234a962508144b6d0b7409d1ab4c6e6f25c511b7b2b5f2c2b39fd721e79","observation_id":"7f62a7f8-eaf0-49dc-b635-5d491969fbcc","resolution":{"observed_at":"2026-05-19T01:36:59.244145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Roldán -Molina, M","venue":null,"work_id":"27e6c4b1-218a-4f5a-bde8-4c06b1f710de","year":2014},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:5283eb3aef1c592b8ae047cf29921a1dd028b55001e790066eb0efcb175d5dba","observation_id":"7b56d0cd-b0c1-4ea4-ad14-1471308319cf","resolution":{"observed_at":"2026-05-19T01:32:57.381917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Holstein and H","venue":null,"work_id":"5a2a8216-3e23-4c28-8608-d88a84edcdd5","year":1940},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:69bc1f7aab16077752a502baec839f17b4efa9a0f8bbef2e3346ebd5f96765fb","observation_id":"253d2f79-bcea-46de-a527-dcdac326e479","resolution":{"observed_at":"2026-05-19T01:32:57.388080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e0ce783e-26ba-4fe0-930a-3a61e0ebdca7","year":1978},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:2025a86b4cc97e5499db7b08c96c90ee1763864c0339b80bfcac46d44e763425","observation_id":"da51421c-5626-43b1-bbdc-94b4e69a4a37","resolution":{"observed_at":"2026-05-19T01:32:57.377364Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"acd9c540-4385-4b3b-b975-d97b19b6f72e","year":1980},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:aa78932f9f8eaf22134d2dde98a022c1876cbf9cd7f71600fa0fcf0c7a3cbfbd","observation_id":"5a160524-a4a4-4965-900d-23cae6564e70","resolution":{"observed_at":"2026-05-19T01:36:59.235973Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0908.0787","last_updated":"2009-08-06T03:19:14Z","snapshot_observed_at":"2026-07-06T01:59:39.649252Z","submitted_at":"2009-08-06T03:19:14Z","title":"Theory of transformation for the diagonalization of quadratic Hamiltonians","version":1},"cited_work":{"arxiv_id":"0908.0787","doi":null,"metadata_source":"pith","pith_arxiv_id":"0908.0787","snapshot_observed_at":"2026-07-03T03:07:35.272882Z","title":"Xiao, Theory of transformation for the diagonalization of quadratic Hamiltonians (2009), arXiv:0908.0787 [math-ph]","venue":"math-ph","work_id":"871fd12f-74da-418d-b28b-facaa647c807","year":2009},"citing_paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-10T13:07:22.051854Z"},"links":{"cited_paper":"/paper/0908.0787","citing_paper":"/paper/2604.13451"},"observation_digest":"sha256:82238cfc066e1bfd981249479d69f24fa56db8ce666d34a7aba54b6b87adcd3d","observation_id":"32a7b543-5219-4d32-bf38-3818e7c306dc","resolution":{"observed_at":"2026-05-10T13:10:26.626987Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.13451","last_updated":"2026-04-15T04:03:30Z","latest_version":1,"primary_category":"cond-mat.mes-hall","snapshot_observed_at":"2026-07-06T23:01:28.082506Z","submitted_at":"2026-04-15T04:03:30Z","title":"Emergence of Nontrivial Topological Magnon States in Skyrmionium Lattices with Zero Topological Charge"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":29},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2604.13451."}