{"as_of":"2026-08-15T15:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:28e32bf9e64ea19b1c8ec70bdfe4f2c8bf41af3a57a7a47ef736af89cf348c9b","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:09:40.438696Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-23T08:26:52.512150Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-23T08:27:44.094000Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"cited_work":{"arxiv_id":"1908.09924","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.09924","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Cedzich, J","venue":null,"work_id":"26334b0b-d7e7-447d-894b-c90076ffc70a","year":2020},"citing_paper":{"arxiv_id":"2411.16843","last_updated":"2026-04-07T20:22:42Z","snapshot_observed_at":"2026-08-12T20:24:18.264726Z","submitted_at":"2024-11-25T19:00:01Z","title":"Mobility edges in pseudo-unitary quasiperiodic quantum walks","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-23T08:26:52.512150Z"},"links":{"cited_paper":"/paper/1908.09924","citing_paper":"/paper/2411.16843"},"observation_digest":"sha256:c97fb8070e7073beee6673bedfc67ba35a26dfc2541779fdc8e313142af7bc16","observation_id":"03d412c1-546c-4199-9a91-33eb7801cadb","resolution":{"observed_at":"2026-05-23T08:27:44.098353Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"cited_work":{"arxiv_id":"1908.09924","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.09924","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Cedzich, J","venue":null,"work_id":"26334b0b-d7e7-447d-894b-c90076ffc70a","year":2020},"citing_paper":{"arxiv_id":"2604.20654","last_updated":"2026-04-22T15:03:47Z","snapshot_observed_at":"2026-07-06T23:07:14.243878Z","submitted_at":"2026-04-22T15:03:47Z","title":"Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-09T22:50:02.850732Z"},"links":{"cited_paper":"/paper/1908.09924","citing_paper":"/paper/2604.20654"},"observation_digest":"sha256:d5d4d4ed9c9b9181c304128b8576e0b53bcfd189e415602cda4465e50646ac32","observation_id":"4ed28b76-c2a6-4480-822d-aef30e45ddf3","resolution":{"observed_at":"2026-05-09T22:54:16.527431Z","resolver_source":"arxiv_id","status":"verified_exact"},"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"}}],"links":{"evidence":"/evidence","html":"/paper/1908.09924/citation-record","integrity":"/paper/1908.09924/integrity","json":"/paper/1908.09924/citation-record.json","paper":"/paper/1908.09924"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:09:41.462278Z","title":null,"venue":null,"work_id":"9656665c-a783-4bfe-b884-4ccbf676e7f1","year":null},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.115304Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:4e44a2549db4d2ab1a6b999f69baeb126360ec41357f1e3d1f0bc38048d64215","observation_id":"32f72ce5-7b51-4ac9-b292-80c0f1643287","resolution":{"observed_at":"2026-08-14T11:09:41.466873Z","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":"2026-08-14T11:09:41.446155Z","title":"upwards” instead of “downwards","venue":null,"work_id":"d34ca432-f0e6-4128-931a-361c1f9dc00e","year":null},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.122023Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:d0808b3dd7ee764b1afeb93caccab38de3379a6ade5eecb1f728c2f2f8ce9e71","observation_id":"f50a87ad-9789-4a8d-9e3d-04232f2b888f","resolution":{"observed_at":"2026-08-14T11:09:41.451262Z","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":"2026-08-14T11:09:41.430834Z","title":"Aharonov, L","venue":null,"work_id":"836bef15-d9d8-4128-b8d0-b38df1b708e2","year":1993},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.128412Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:60bdd8df08ac670a8949e9f00cba887d5a5da769f328c214c7066ba72cd251b1","observation_id":"ce03719e-0e6c-409c-9aee-d4ce87154f37","resolution":{"observed_at":"2026-08-14T11:09:41.436303Z","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":"1105.1051","last_updated":"2011-05-05T12:32:12Z","snapshot_observed_at":"2026-08-15T04:47:36.547660Z","submitted_at":"2011-05-05T12:32:12Z","title":"Bound Molecules in an Interacting Quantum Walk","version":1},"cited_work":{"arxiv_id":"1105.1051","doi":null,"metadata_source":"pith","pith_arxiv_id":"1105.1051","snapshot_observed_at":"2026-08-14T11:09:41.110865Z","title":"Bound Molecules in an Interacting Quantum Walk","venue":"quant-ph","work_id":"f3b20340-5adb-4593-928b-2658be8a6fe8","year":2011},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.132626Z"},"links":{"cited_paper":"/paper/1105.1051","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:a22b24a4653449278c529dd6651d662ab6c249aa3b0bf8eca68245f25df5bc7c","observation_id":"37e296f9-f2b9-49cc-b61e-152bbfaa6b6b","resolution":{"observed_at":"2026-08-14T11:09:41.115604Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1201.4839","last_updated":"2012-01-23T19:52:47Z","snapshot_observed_at":"2026-08-15T04:21:41.449554Z","submitted_at":"2012-01-23T19:52:47Z","title":"Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.4839","snapshot_observed_at":"2026-08-14T11:09:40.138723Z","title":"Ahlbrecht, C","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.138723Z"},"links":{"cited_paper":"/paper/1201.4839","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:3c4d1d22be9b3b1f2d974f572abf26d9deaba0ffe7d7109c87f8efbc2b45dd3e","observation_id":"dfa66c5d-ebaa-452f-a1c0-6d592c903db2","resolution":{"observed_at":"2026-08-14T11:09:40.138723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1101.2298","last_updated":"2011-04-06T10:59:33Z","snapshot_observed_at":"2026-08-15T04:57:45.655478Z","submitted_at":"2011-01-12T09:07:20Z","title":"Disordered Quantum Walks in one lattice dimension","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1101.2298","snapshot_observed_at":"2026-08-14T11:09:40.144498Z","title":"Ahlbrecht, V","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.144498Z"},"links":{"cited_paper":"/paper/1101.2298","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:9631ffecbfe2aa07ff7616f74667d5f97a954a21040416cc5b92ff8082864157","observation_id":"86aa9d13-0865-4c33-9ac9-c72c8581cff8","resolution":{"observed_at":"2026-08-14T11:09:40.144498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.2019","last_updated":"2011-04-15T16:00:09Z","snapshot_observed_at":"2026-08-15T05:09:08.854019Z","submitted_at":"2010-09-10T14:19:21Z","title":"Asymptotic evolution of quantum walks with random coin","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.2019","snapshot_observed_at":"2026-08-14T11:09:40.149753Z","title":"Ahlbrecht, H","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.149753Z"},"links":{"cited_paper":"/paper/1009.2019","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:b3c773a32f9a4b5edc7d4d19fc75efb92b675fc4de63b4b158b4a3b2ab2ad876","observation_id":"4af4c2cd-bdc9-461d-9abd-f962685e5b51","resolution":{"observed_at":"2026-08-14T11:09:40.149753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0403120","last_updated":"2004-05-06T20:23:43Z","snapshot_observed_at":"2026-08-02T21:02:20.884641Z","submitted_at":"2004-03-16T21:49:43Z","title":"Quantum walks and their algorithmic applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0403120","snapshot_observed_at":"2026-08-14T11:09:40.154975Z","title":"Ambainis","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.154975Z"},"links":{"cited_paper":"/paper/quant-ph/0403120","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:a51499dc61806891d59170da43e1dc9093929de02392d98d1a8af4e13de49bce","observation_id":"39c85799-0bf7-46ae-8674-3e81b75a1d14","resolution":{"observed_at":"2026-08-14T11:09:40.154975Z","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":"2026-08-14T11:09:41.417336Z","title":"Ambainis, E","venue":null,"work_id":"e1c58fce-5420-459e-8580-c8c2a119c826","year":2001},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.160544Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:2322be62d4a429e5e86c072c0ded01321e9cd75c51d6f9c5c9b40e45efebd84e","observation_id":"ac5cff93-1297-4d2c-a91b-365079cf404d","resolution":{"observed_at":"2026-08-14T11:09:41.421492Z","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":"2026-08-14T11:09:41.403022Z","title":"Applebaum","venue":null,"work_id":"0ac91199-7681-4473-b519-44b2df39e424","year":2014},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.166524Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:c9ef16f6e182561d607715f9e807be7d52a50c0a283b7d74e54cce34484fc0a1","observation_id":"ac50364b-3c3e-44f8-a512-9c7858aa851b","resolution":{"observed_at":"2026-08-14T11:09:41.407689Z","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":"2026-08-14T11:09:41.389145Z","title":"Avila and S","venue":null,"work_id":"8fad9aff-087d-441c-8a17-0d1fb82dd083","year":2009},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.171899Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:ee0e87d5ec7caf72b57985b1d32f6ea3aebf417350317bb6d1d34ebb64c3aed8","observation_id":"d6a2540c-a581-4a6f-bf21-16b160716e67","resolution":{"observed_at":"2026-08-14T11:09:41.393394Z","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":"1602.05111","last_updated":"2017-05-05T19:33:02Z","snapshot_observed_at":"2026-08-14T22:10:06.144900Z","submitted_at":"2016-02-16T17:52:22Z","title":"Spectral theory of extended Harper's model and a question by Erd\\H{o}s and Szekeres","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.05111","snapshot_observed_at":"2026-08-14T11:09:40.176364Z","title":"Avila, S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.176364Z"},"links":{"cited_paper":"/paper/1602.05111","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:232272dbeaaa890af90fc1bc04ed2a5256bcec9bc6e010c1ed96ecb3fd0213d0","observation_id":"ef944c8d-5dde-41f2-bfcd-28361f35e09b","resolution":{"observed_at":"2026-08-14T11:09:40.176364Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.3003","last_updated":"2010-02-16T20:23:18Z","snapshot_observed_at":"2026-08-15T05:26:27.719154Z","submitted_at":"2010-02-16T20:23:18Z","title":"Two-particle quantum walks applied to the graph isomorphism problem","version":1},"cited_work":{"arxiv_id":"1002.3003","doi":null,"metadata_source":"pith","pith_arxiv_id":"1002.3003","snapshot_observed_at":"2026-08-14T11:09:41.008475Z","title":"Two-particle quantum walks applied to the graph isomorphism problem","venue":"quant-ph","work_id":"7770c14e-fa20-4c81-a8b2-1ac325753203","year":2010},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.182187Z"},"links":{"cited_paper":"/paper/1002.3003","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:fb173674068a15fd7dc100b9223f22a00dedd8905ca687e392e701f922a5b29f","observation_id":"8be54793-0f20-45cf-937d-a131694d90f1","resolution":{"observed_at":"2026-08-14T11:09:41.014354Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1302.7286","last_updated":"2013-02-28T19:05:23Z","snapshot_observed_at":"2026-08-15T00:27:04.233412Z","submitted_at":"2013-02-28T19:05:23Z","title":"Quantum recurrence of a subspace and operator-valued Schur functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1302.7286","snapshot_observed_at":"2026-08-14T11:09:40.188522Z","title":"Bourgain, F","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.188522Z"},"links":{"cited_paper":"/paper/1302.7286","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:8d0df5872aaa51b7114dd79aef707edee3fb115b0686652fad3d0c3aad9e66ff","observation_id":"4885cd9c-f6bd-4936-8fbb-9ddc22164516","resolution":{"observed_at":"2026-08-14T11:09:40.188522Z","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":"2026-08-14T11:09:41.375953Z","title":"Bratteli and D","venue":null,"work_id":"f78f8c96-6190-437f-b7ec-91a94f3377f2","year":1987},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.194881Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:378d4e6b5f362eeea0cdec0463c0d4b4ffa9f8a900f478097bbbcef592dce388","observation_id":"f40fe27f-6c7b-42cc-997a-dd957881ea65","resolution":{"observed_at":"2026-08-14T11:09:41.379894Z","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":"2026-08-14T11:09:41.360470Z","title":null,"venue":null,"work_id":"42f7f9d7-9ef9-4337-af3a-7a72a498bf9e","year":1964},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.200144Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:f8b59b2ad4a65c96a240732d30d14dcab1c89e459ad16d40226cd312d67e4d28","observation_id":"e45e0839-65bf-411b-8a84-8485379b8853","resolution":{"observed_at":"2026-08-14T11:09:41.366187Z","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":{"arxiv_id":"0901.2244","last_updated":"2009-01-15T12:23:01Z","snapshot_observed_at":"2026-08-15T05:57:22.935661Z","submitted_at":"2009-01-15T12:23:01Z","title":"Matrix valued Szego polynomials and quantum random walks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0901.2244","snapshot_observed_at":"2026-08-14T11:09:40.205679Z","title":"Cantero, F","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.205679Z"},"links":{"cited_paper":"/paper/0901.2244","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:014db1fca4f09b4846a531dd5091ef48617008a83396641e746e7fd67f06df13","observation_id":"e44e19b4-a098-43ea-b110-6fa10e5d04ca","resolution":{"observed_at":"2026-08-14T11:09:40.205679Z","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":"2026-08-14T11:09:41.346069Z","title":"Cantero, F","venue":null,"work_id":"3b73b0fb-236d-418f-a7da-76bc60e09cdf","year":2012},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.210898Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:4513c0641935ac0b53082859fb6d2841f9f6481b55d6b6d7dc58b91c3b00d1e1","observation_id":"b2637cff-2695-4025-a250-13054c1b4bea","resolution":{"observed_at":"2026-08-14T11:09:41.350421Z","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":"2026-08-14T11:09:41.332509Z","title":"Quantum Walks in Grenoble","venue":null,"work_id":"2214b68b-8a70-40ba-83f5-051c7872ccd0","year":2012},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.216370Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:660488f92aa12770c0c579d77836319c380faf355ea9202504b7c05260397b9c","observation_id":"c8fae568-8df4-47df-96c8-3f0732c04f0a","resolution":{"observed_at":"2026-08-14T11:09:41.336724Z","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":"1611.04439","last_updated":"2018-09-07T12:55:40Z","snapshot_observed_at":"2026-08-14T21:30:31.924596Z","submitted_at":"2016-11-14T16:18:42Z","title":"The topological classification of one-dimensional symmetric quantum walks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.04439","snapshot_observed_at":"2026-08-14T11:09:40.220918Z","title":"Cedzich, T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.220918Z"},"links":{"cited_paper":"/paper/1611.04439","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:27ea392c1f7d9049ac6e06d48d975dd92de2c3d9394a00fb993cd25b44a6ac59","observation_id":"33013c42-a63c-4ed7-8851-3ceecddccdde","resolution":{"observed_at":"2026-08-14T11:09:40.220918Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.07494","last_updated":"2021-04-16T15:29:35Z","snapshot_observed_at":"2026-08-14T17:00:41.082340Z","submitted_at":"2019-03-18T15:00:27Z","title":"Quantum walks: Schur functions meet symmetry protected topological phases","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.07494","snapshot_observed_at":"2026-08-14T11:09:40.225520Z","title":"Cedzich, T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.225520Z"},"links":{"cited_paper":"/paper/1903.07494","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:7d5a6c7244d334f8e9bcf13d54df03cf0cef847ac2f2f76168eb0192f875f6a6","observation_id":"e674f1b2-1287-4008-859c-c59a44f6a322","resolution":{"observed_at":"2026-08-14T11:09:40.225520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.04520","last_updated":"2018-09-21T14:23:50Z","snapshot_observed_at":"2026-08-14T19:26:36.936928Z","submitted_at":"2018-04-12T13:59:44Z","title":"Complete homotopy invariants for translation invariant symmetric quantum walks on a chain","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.04520","snapshot_observed_at":"2026-08-14T11:09:40.231435Z","title":"Cedzich, T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.231435Z"},"links":{"cited_paper":"/paper/1804.04520","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:5e8ed34b0f7152f7f369c3277c0b32e5aa81108a6757d517c6dc92be9cfd045c","observation_id":"76fe4e13-cc10-4b9e-9351-6c441e93cc8d","resolution":{"observed_at":"2026-08-14T11:09:40.231435Z","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":"2026-08-14T11:09:41.317874Z","title":"Cedzich, T","venue":null,"work_id":"76bca7b7-72ab-4198-b301-d83dbd72e071","year":null},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.236757Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:60e053902fa0a9a785f14501fdf8424acc94d7822159f647df652d95b01ec410","observation_id":"b5422dc5-8da7-42a3-a497-9228010e847a","resolution":{"observed_at":"2026-08-14T11:09:41.322655Z","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":"2026-08-14T11:09:41.301955Z","title":"Quantumwalksinexternalgaugefields","venue":null,"work_id":"1bfe924b-7c18-4eec-8d4e-c75c2721eca1","year":null},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.241990Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:2b1132a183078a2502fb62b35075994e02b399e608730be73a82f7a6a2a6945e","observation_id":"28ad5be6-ef01-476a-aa8f-f1d277154156","resolution":{"observed_at":"2026-08-14T11:09:41.307389Z","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":"1502.02592","last_updated":"2016-02-10T14:45:14Z","snapshot_observed_at":"2026-08-14T23:00:46.865459Z","submitted_at":"2015-02-09T18:25:48Z","title":"Bulk-edge correspondence of one-dimensional quantum walks","version":3},"cited_work":{"arxiv_id":"1502.02592","doi":null,"metadata_source":"pith","pith_arxiv_id":"1502.02592","snapshot_observed_at":"2026-08-14T11:09:40.909475Z","title":"Bulk-edge correspondence of one-dimensional quantum walks","venue":"quant-ph","work_id":"60989975-df3c-45f7-af72-8f92633e8cbb","year":2015},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.247274Z"},"links":{"cited_paper":"/paper/1502.02592","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:bcef0b51daba185b844d3ef93fc48d831c34c408e91186158f155b65b5ad4b12","observation_id":"6c16fc07-16b4-4a27-a192-c5f28c1df940","resolution":{"observed_at":"2026-08-14T11:09:40.915165Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1405.0985","last_updated":"2016-10-28T11:55:44Z","snapshot_observed_at":"2026-08-14T23:35:12.168043Z","submitted_at":"2014-05-05T18:48:49Z","title":"A quantum dynamical approach to matrix Khrushchev's formulas","version":2},"cited_work":{"arxiv_id":"1405.0985","doi":null,"metadata_source":"pith","pith_arxiv_id":"1405.0985","snapshot_observed_at":"2026-08-14T11:09:40.886556Z","title":"A quantum dynamical approach to matrix Khrushchev's formulas","venue":"math.CA","work_id":"196839ce-492c-40a9-b194-829a7459b05f","year":2014},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.253200Z"},"links":{"cited_paper":"/paper/1405.0985","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:6fe00c6c53063f4fc80089f5a99b0263da05a7ff6d6a92fe094895ec4ad1a0e7","observation_id":"23fe6f6f-ef37-4f0b-b37e-66458e58eff7","resolution":{"observed_at":"2026-08-14T11:09:40.891797Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1302.2081","last_updated":"2013-02-08T16:41:10Z","snapshot_observed_at":"2026-08-15T00:29:25.147189Z","submitted_at":"2013-02-08T16:41:10Z","title":"Propagation and spectral properties of quantum walks in electric fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1302.2081","snapshot_observed_at":"2026-08-14T11:09:40.258276Z","title":"Cedzich, T","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.258276Z"},"links":{"cited_paper":"/paper/1302.2081","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:302505a14f091cea46073d1b1a7d3d4041ef6d9bc6a949fb1e74d29298b5cba6","observation_id":"791c2d97-8b4f-4848-a8e1-380d225e2d05","resolution":{"observed_at":"2026-08-14T11:09:40.258276Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.11931","last_updated":"2019-06-27T19:41:08Z","snapshot_observed_at":"2026-08-14T16:10:45.674773Z","submitted_at":"2019-06-27T19:41:08Z","title":"Anderson localization for electric quantum walks and skew-shift CMV matrices","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.11931","snapshot_observed_at":"2026-08-14T11:09:40.263065Z","title":"Cedzich and A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.263065Z"},"links":{"cited_paper":"/paper/1906.11931","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:bc63323192ae0b4e2e0069e5e649d2fdcdb5420c02ee735776ecd50f585db262","observation_id":"b14076f7-ebf6-4c82-8a54-5d18b65af5a4","resolution":{"observed_at":"2026-08-14T11:09:40.263065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0806.1972","last_updated":"2008-06-12T17:51:50Z","snapshot_observed_at":"2026-08-15T10:13:23.531764Z","submitted_at":"2008-06-12T17:51:50Z","title":"Universal computation by quantum walk","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0806.1972","snapshot_observed_at":"2026-08-14T11:09:40.269077Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.269077Z"},"links":{"cited_paper":"/paper/0806.1972","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:cbd8f4f96915fc9c5b646aa92b3c12ee96eacdd11960a7b4be21666f940ab266","observation_id":"16827095-8a2b-4c6f-9bcc-da4f1b38cae6","resolution":{"observed_at":"2026-08-14T11:09:40.269077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0209131","last_updated":"2002-10-25T18:29:00Z","snapshot_observed_at":"2026-07-07T07:10:49.349306Z","submitted_at":"2002-09-24T18:43:37Z","title":"Exponential algorithmic speedup by quantum walk","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0209131","snapshot_observed_at":"2026-08-14T11:09:40.275986Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.275986Z"},"links":{"cited_paper":"/paper/quant-ph/0209131","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:f9bf73c3d3c3bd0e09271f31f3fc6724eed04bccd057691c0b102bc4a568ed57","observation_id":"b1796a73-94ff-4bc5-bc20-d5337e7f2871","resolution":{"observed_at":"2026-08-14T11:09:40.275986Z","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":"2026-08-14T11:09:41.287629Z","title":"Cycon, R","venue":null,"work_id":"01631546-520a-42dd-b64f-62f18266c763","year":1987},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.283019Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:20d87fa7dd9b684a9ae9918584bc9fedfce3fedd234b5e1d40d67cad179480de","observation_id":"8438f838-fe2e-42cd-9850-b110dbf7e3f4","resolution":{"observed_at":"2026-08-14T11:09:41.292062Z","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":"1507.02041","last_updated":"2016-06-14T15:52:38Z","snapshot_observed_at":"2026-08-14T22:41:20.372205Z","submitted_at":"2015-07-08T06:40:13Z","title":"Quantum Intermittency for Sparse CMV Matrices with an Application to Quantum Walks on the Half-Line","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.02041","snapshot_observed_at":"2026-08-14T11:09:40.288486Z","title":"Damanik, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.288486Z"},"links":{"cited_paper":"/paper/1507.02041","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:0d6ffc0f75327f17d6a59f6bbfad363ea5870310e3887daf6a882ef2a2eeed98","observation_id":"18cd55e9-fc93-47b5-9243-64b2e69875e6","resolution":{"observed_at":"2026-08-14T11:09:40.288486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1505.07292","last_updated":"2016-03-03T18:28:30Z","snapshot_observed_at":"2026-08-14T22:46:56.413149Z","submitted_at":"2015-05-27T12:50:19Z","title":"Spreading Estimates for Quantum Walks on the Integer Lattice via Power-Law Bounds on Transfer Matrices","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1505.07292","snapshot_observed_at":"2026-08-14T11:09:40.294313Z","title":"Damanik, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.294313Z"},"links":{"cited_paper":"/paper/1505.07292","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:8ad1e332ac706b1c4781c95fe3aa34fa9b2d9c8c19e175067ac5cd79be21a801","observation_id":"99137300-62d5-4dca-8bd5-53a31855a423","resolution":{"observed_at":"2026-08-14T11:09:40.294313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1308.1811","last_updated":"2015-11-25T16:09:38Z","snapshot_observed_at":"2026-08-15T10:47:18.701808Z","submitted_at":"2013-08-08T10:33:48Z","title":"Dynamics of Unitary Operators","version":2},"cited_work":{"arxiv_id":"1308.1811","doi":null,"metadata_source":"pith","pith_arxiv_id":"1308.1811","snapshot_observed_at":"2026-08-14T11:09:40.772472Z","title":"Dynamics of Unitary Operators","venue":"math.SP","work_id":"2a59d875-1bcd-46c4-b037-2dd6c3b253f5","year":2013},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.300398Z"},"links":{"cited_paper":"/paper/1308.1811","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:5bdafc9905f14aba75d69d1a7ff4505ae4682490c22ff94371227b4def8a1607","observation_id":"3757c07a-8153-4e49-bb74-b3e91fdbb43a","resolution":{"observed_at":"2026-08-14T11:09:40.777342Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-14T11:09:41.273449Z","title":"Delyon and B","venue":null,"work_id":"8a30df0a-1502-40e3-a8b6-bfc170ca0d1b","year":1984},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.305495Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:8ca8964abdbcb848dc321a7e74b72a598d9442e58ac3993d0b588c8e87200213","observation_id":"ea1f6662-d787-4b5c-b2d8-28fc5f568c44","resolution":{"observed_at":"2026-08-14T11:09:41.277699Z","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":"1603.01173","last_updated":"2017-02-14T18:39:41Z","snapshot_observed_at":"2026-08-15T06:19:46.879620Z","submitted_at":"2016-03-03T16:56:00Z","title":"Ballistic Transport for Limit-Periodic Jacobi Matrices with Applications to Quantum Many-Body Problems","version":3},"cited_work":{"arxiv_id":"1603.01173","doi":null,"metadata_source":"pith","pith_arxiv_id":"1603.01173","snapshot_observed_at":"2026-08-14T11:09:40.749818Z","title":"Ballistic Transport for Limit-Periodic Jacobi Matrices with Applications to Quantum Many-Body Problems","venue":"math.SP","work_id":"2da80532-5a54-4540-a905-77d44809bc4a","year":2016},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.312331Z"},"links":{"cited_paper":"/paper/1603.01173","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:f7d5082cf05415985e23200190559553396e409bbd7ed795c3efd2b86f22c381","observation_id":"0e07a068-5d8a-4dec-92de-e537b71c8ddf","resolution":{"observed_at":"2026-08-14T11:09:40.754744Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1610.06159","last_updated":"2016-10-19T19:19:41Z","snapshot_observed_at":"2026-08-14T21:34:27.457248Z","submitted_at":"2016-10-19T19:19:41Z","title":"Purely Singular Continuous Spectrum for Limit-Periodic CMV Operators with Applications to Quantum Walks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.06159","snapshot_observed_at":"2026-08-14T11:09:40.318737Z","title":"Fillman and D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.318737Z"},"links":{"cited_paper":"/paper/1610.06159","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:d68187ee443a603814bdac1b721b013850e6619ffae3374f9db8c99a78b61973","observation_id":"3a94da8e-b450-4f8a-9a06-19c5bb3c9473","resolution":{"observed_at":"2026-08-14T11:09:40.318737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.07641","last_updated":"2015-12-23T21:22:39Z","snapshot_observed_at":"2026-08-14T22:17:09.265131Z","submitted_at":"2015-12-23T21:22:39Z","title":"Spectral Characteristics of the Unitary Critical Almost-Mathieu Operator","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.07641","snapshot_observed_at":"2026-08-14T11:09:40.323925Z","title":"Fillman, D","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.323925Z"},"links":{"cited_paper":"/paper/1512.07641","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:974407db9a1c5d0e89b2326d66955bd10c109ff5f1e40e5312754c663ec51435","observation_id":"5a9761c3-8c63-4b65-b25d-878c43410241","resolution":{"observed_at":"2026-08-14T11:09:40.323925Z","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":"2026-08-14T11:09:41.257627Z","title":null,"venue":null,"work_id":"b8c3f745-6fa7-408d-bfcd-3b0ba30c13fd","year":2007},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.329115Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:0b76919bd80178070af6537e494c29ed19660a275fca3863fa755f46c727e58e","observation_id":"4895342f-fbb8-4697-8bd3-96ce90e6ae08","resolution":{"observed_at":"2026-08-14T11:09:41.262712Z","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":{"arxiv_id":"quant-ph/0309135","last_updated":"2003-09-18T10:07:18Z","snapshot_observed_at":"2026-07-07T07:13:24.562655Z","submitted_at":"2003-09-18T10:07:18Z","title":"Weak limits for quantum random walks","version":1},"cited_work":{"arxiv_id":"quant-ph/0309135","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0309135","snapshot_observed_at":"2026-08-14T11:09:40.693406Z","title":"Weak limits for quantum random walks","venue":"quant-ph","work_id":"17b54e4a-06e8-4350-a88a-ae32cda436de","year":2003},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.333620Z"},"links":{"cited_paper":"/paper/quant-ph/0309135","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:9a05be97358a0a2cd5fa87a25d64a06b471ce3420713820dad9881734dbad709","observation_id":"5690550e-858f-4eae-adf7-c265327f5d44","resolution":{"observed_at":"2026-08-14T11:09:40.699752Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1202.3903","last_updated":"2012-06-29T07:22:30Z","snapshot_observed_at":"2026-08-15T04:19:01.127886Z","submitted_at":"2012-02-17T13:19:45Z","title":"Recurrence for discrete time unitary evolutions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.3903","snapshot_observed_at":"2026-08-14T11:09:40.339690Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.339690Z"},"links":{"cited_paper":"/paper/1202.3903","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:5ad4d1da058ff44c2de9b69dd277a29f8b036cf24ea249a882bbe2fc2b8ce62a","observation_id":"35b08a29-c406-44eb-b905-653e26ec8006","resolution":{"observed_at":"2026-08-14T11:09:40.339690Z","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":"2026-08-14T11:09:41.242445Z","title":null,"venue":null,"work_id":"347950da-2f44-4283-bd23-d465e53f22f2","year":1976},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.346757Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:ba61587c6659c33f4b10477d61765916aac14f4598b6c243a643121d6eda5767","observation_id":"a4ec1844-5746-463c-a5a2-bd2b11fd0427","resolution":{"observed_at":"2026-08-14T11:09:41.247293Z","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":{"arxiv_id":"math/9911265","last_updated":"1999-11-01T00:00:00Z","snapshot_observed_at":"2026-07-07T06:12:00.270010Z","submitted_at":"1999-11-01T00:00:00Z","title":"Metal-insulator transition for the almost Mathieu operator","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/9911265","snapshot_observed_at":"2026-08-14T11:09:40.353947Z","title":"Jitomirskaya","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.353947Z"},"links":{"cited_paper":"/paper/math/9911265","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:c2f153cc4eb5999b7bbd2623e905b6d96ec3a509f765b2ac01b08290ede68e8f","observation_id":"f5483959-55d2-4f5d-b8ef-c65c0e51efa1","resolution":{"observed_at":"2026-08-14T11:09:40.353947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.4006","last_updated":"2011-02-15T15:53:01Z","snapshot_observed_at":"2026-08-15T05:05:24.547250Z","submitted_at":"2010-10-19T18:57:31Z","title":"Random Time-Dependent Quantum Walks","version":2},"cited_work":{"arxiv_id":"1010.4006","doi":null,"metadata_source":"pith","pith_arxiv_id":"1010.4006","snapshot_observed_at":"2026-08-14T11:09:40.637334Z","title":"Random Time-Dependent Quantum Walks","venue":"math-ph","work_id":"01f07561-cef1-4239-baa3-f97c6d7a4700","year":2010},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.359362Z"},"links":{"cited_paper":"/paper/1010.4006","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:c21ad4d9ceaa9114df48551b390d7741f09cf6bfe1dedb60645410274b517c47","observation_id":"7ea76923-85de-4694-8b18-3fa554bb8ac7","resolution":{"observed_at":"2026-08-14T11:09:40.642828Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1201.4759","last_updated":"2012-04-05T13:07:52Z","snapshot_observed_at":"2026-08-15T04:21:43.265474Z","submitted_at":"2012-01-23T16:37:16Z","title":"Dynamical Localization for d-Dimensional Random Quantum Walks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.4759","snapshot_observed_at":"2026-08-14T11:09:40.364574Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.364574Z"},"links":{"cited_paper":"/paper/1201.4759","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:000f7d6f6df62e889c2686fe7df26b6fda7ea72a4bac29e357e4c12fe892feb6","observation_id":"574c42b6-7a41-4ac2-8ae1-b5e0a047ddfe","resolution":{"observed_at":"2026-08-14T11:09:40.364574Z","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":"2026-08-14T11:09:41.228372Z","title":"Joye and M","venue":null,"work_id":"2a70dd50-0b25-4ec1-b737-71f7fd936439","year":null},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.370576Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:98121e6454dc08805dc0e1128891bfe8f52607ae55d845df0d28d16ba8917290","observation_id":"f53eaf1d-e952-4817-aa1c-cde72b98c1f0","resolution":{"observed_at":"2026-08-14T11:09:41.233161Z","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":"1507.01363","last_updated":"2015-11-05T13:12:40Z","snapshot_observed_at":"2026-08-14T22:41:39.384327Z","submitted_at":"2015-07-06T09:16:25Z","title":"Interacting quantum walkers: Two-body bosonic and fermionic bound states","version":2},"cited_work":{"arxiv_id":"1507.01363","doi":null,"metadata_source":"pith","pith_arxiv_id":"1507.01363","snapshot_observed_at":"2026-08-14T11:09:40.596936Z","title":"Interacting quantum walkers: Two-body bosonic and fermionic bound states","venue":"cond-mat.mes-hall","work_id":"5a4050e6-79a8-40b7-9886-ec371897e33a","year":2015},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.376151Z"},"links":{"cited_paper":"/paper/1507.01363","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:83c4f833eadd345884c67435770c499efcbae0e8e86223a44a1a5a07900c1581","observation_id":"7617715c-7034-4932-b98c-abf3d09ad2b8","resolution":{"observed_at":"2026-08-14T11:09:40.602979Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-14T11:09:41.213976Z","title":null,"venue":null,"work_id":"ccca1ec1-70ef-4132-b595-c732d6b69850","year":1981},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.381231Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:fd27d95632f87820198d573429db885e24a908a3a7515529821a8099bead7802","observation_id":"50f41dfa-e891-4ba7-950f-2713baedd048","resolution":{"observed_at":"2026-08-14T11:09:41.218093Z","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":{"arxiv_id":"0906.3692","last_updated":"2009-06-19T15:52:58Z","snapshot_observed_at":"2026-08-15T05:45:33.799197Z","submitted_at":"2009-06-19T15:52:58Z","title":"Inhomogeneous Quantum Walks","version":1},"cited_work":{"arxiv_id":"0906.3692","doi":null,"metadata_source":"pith","pith_arxiv_id":"0906.3692","snapshot_observed_at":"2026-08-14T11:09:40.571538Z","title":"Inhomogeneous Quantum Walks","venue":"quant-ph","work_id":"7710feb7-5b19-474c-b11e-51687e256dfd","year":2009},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.386558Z"},"links":{"cited_paper":"/paper/0906.3692","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:0192207ad051aa4c8d9dddd897be5bf62918275baf7a81dcea7f0d2a0d7ab574","observation_id":"e148a5b0-6d99-4737-a742-cbf68cd778ac","resolution":{"observed_at":"2026-08-14T11:09:40.578422Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"0910.1024","last_updated":"2010-03-02T16:32:42Z","snapshot_observed_at":"2026-08-15T05:37:22.696948Z","submitted_at":"2009-10-06T16:01:23Z","title":"Universal quantum computation using the discrete time quantum walk","version":3},"cited_work":{"arxiv_id":"0910.1024","doi":null,"metadata_source":"pith","pith_arxiv_id":"0910.1024","snapshot_observed_at":"2026-08-14T11:09:40.547125Z","title":"Universal quantum computation using the discrete time quantum walk","venue":"quant-ph","work_id":"fcba0525-a134-42ab-88a7-342c7c6882cd","year":2009},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.392936Z"},"links":{"cited_paper":"/paper/0910.1024","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:9a5c1e984fd24e02641c7017c90d53ecc32d2a6121e4ece97fa09d74f48724cb","observation_id":"9e199b83-40ca-4250-a572-03c2bc6243b7","resolution":{"observed_at":"2026-08-14T11:09:40.552881Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1503.05740","last_updated":"2016-01-31T17:15:31Z","snapshot_observed_at":"2026-08-15T13:05:52.969032Z","submitted_at":"2015-03-19T12:35:51Z","title":"Dynamics and spectral theory of quasi-periodic Schr\\\"odinger-type operators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.05740","snapshot_observed_at":"2026-08-14T11:09:40.400418Z","title":"Marx and S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.400418Z"},"links":{"cited_paper":"/paper/1503.05740","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:ab7796ef8398db7667b15d322d1dffbf7e39f258a391c0b36668129a1b6a3fa6","observation_id":"63c03627-0254-466f-9af1-70feda03e4a4","resolution":{"observed_at":"2026-08-14T11:09:40.400418Z","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":"2026-08-14T11:09:41.195371Z","title":null,"venue":null,"work_id":"c1f5113c-3348-4026-bd15-98155edb121c","year":1980},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.406226Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:b23cc4ce5535c66cd41167cc48f9403846dac0ddf62c286a4331862a3b5ebe62","observation_id":"2844cf11-dd49-4d0e-a42c-1495cbfb33c0","resolution":{"observed_at":"2026-08-14T11:09:41.201786Z","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":"2026-08-14T11:09:41.176968Z","title":"Portugal","venue":null,"work_id":"1a1ccebd-2207-4e83-af74-b6961f242b1f","year":2018},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.411429Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:a023fb68530f68d95bf5fb983409e48e2d2cf460e054882afff3a64e61522fb7","observation_id":"e2fc30fc-30ec-48e7-bda3-162bdfa135c8","resolution":{"observed_at":"2026-08-14T11:09:41.183206Z","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":"2026-08-14T11:09:41.159300Z","title":"Rieffel.C ∗-algebras associated with irrational rotations.Pac","venue":null,"work_id":"92f8e40b-79ee-4288-97ce-cedb81ae50c9","year":1981},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.417725Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:90ed5dbd15ef86a677d888ca1141fdb4d97b6204f0c49d3ce3f32fb1e7fe30e5","observation_id":"acd51b22-bb58-48e9-9574-6d79fec2ed38","resolution":{"observed_at":"2026-08-14T11:09:41.165296Z","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":"1004.5394","last_updated":"2010-09-16T18:11:43Z","snapshot_observed_at":"2026-08-15T05:20:15.387092Z","submitted_at":"2010-04-29T20:31:29Z","title":"Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality","version":2},"cited_work":{"arxiv_id":"1004.5394","doi":null,"metadata_source":"pith","pith_arxiv_id":"1004.5394","snapshot_observed_at":"2026-08-14T11:09:40.505459Z","title":"Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality","venue":"quant-ph","work_id":"530afbca-1ac0-419e-9729-7639576c8842","year":2010},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.423095Z"},"links":{"cited_paper":"/paper/1004.5394","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:e7a21fb2acd1d2829a91856de699b066f3547c4a22b38999c205738e1ab9cca1","observation_id":"e0ffda86-90be-4d30-a7b0-b1b471d197b9","resolution":{"observed_at":"2026-08-14T11:09:40.511075Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"1104.2010","last_updated":"2011-10-21T19:00:49Z","snapshot_observed_at":"2026-08-15T04:49:41.500636Z","submitted_at":"2011-04-11T17:27:11Z","title":"Notes on Inhomogeneous Quantum Walks","version":2},"cited_work":{"arxiv_id":"1104.2010","doi":null,"metadata_source":"pith","pith_arxiv_id":"1104.2010","snapshot_observed_at":"2026-08-14T11:09:40.477556Z","title":"Notes on Inhomogeneous Quantum Walks","venue":"quant-ph","work_id":"08d3d2d5-e368-46db-9f52-956df4a06816","year":2011},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.428484Z"},"links":{"cited_paper":"/paper/1104.2010","citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:af74dcba983d6513cf89a99cf8b1f671bca26eba850097089f8dca580b0de183","observation_id":"76e190b5-bfa0-40e5-9a49-616eac4b5755","resolution":{"observed_at":"2026-08-14T11:09:40.485816Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-14T11:09:41.143037Z","title":null,"venue":null,"work_id":"1c0be8ab-a0c4-4746-bb61-a70db1eaa527","year":1994},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.433264Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:9c63db3d7b5754c14b983a109262365a9a671b32aedf5d4c06c3c5cee2020f10","observation_id":"7385bb7d-b379-40bb-b09d-b447df60d459","resolution":{"observed_at":"2026-08-14T11:09:41.148634Z","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":"2026-08-14T11:09:41.126163Z","title":null,"venue":null,"work_id":"0556ce73-8a44-4557-bec5-d70ff3fc34e5","year":1982},"citing_paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T11:09:40.438696Z"},"links":{"citing_paper":"/paper/1908.09924"},"observation_digest":"sha256:781d8577ccaf945c05f4cb7a89885b4a3553455d0e53ee3a4bd78348cf74acb5","observation_id":"ce14820e-7bda-41af-96a9-b56da758d135","resolution":{"observed_at":"2026-08-14T11:09:41.130950Z","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"}}],"paper":{"arxiv_id":"1908.09924","last_updated":"2019-08-26T21:12:54Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-15T08:58:02.035899Z","submitted_at":"2019-08-26T21:12:54Z","title":"Singular continuous Cantor spectrum for magnetic quantum walks"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":30,"verified_exact":13,"verified_fuzzy":15},"total_outbound_references":58},"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 15 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:1908.09924."}