{"as_of":"2026-08-08T05:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:04c5ae7cf4e22f676e5fdd38aa2313d3de7b8bcd2e0ca1ba91ea65f3c79a23b5","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":"2026-08-07T11:20:02.325727Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.03029/citation-record","integrity":"/paper/2506.03029/integrity","json":"/paper/2506.03029/citation-record.json","paper":"/paper/2506.03029"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:07.461216Z","title":null,"venue":null,"work_id":"a2913060-57f9-46f3-a450-8394882b1021","year":1963},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:19:59.642049Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:6579c4dfe74aae4f2f781904c63a3a5a4172229888f55bd7f0479e701b671264","observation_id":"4a970809-8f94-4105-b7e4-b9e96b8aa2a1","resolution":{"observed_at":"2026-08-07T11:20:07.531215Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:07.322498Z","title":null,"venue":null,"work_id":"0b353448-4a98-401f-9a80-c9b16f11c7e6","year":1998},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:19:59.702209Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:0e7980932bca68bd8e1495fe7e0bb68b9a56fe52099073d0e8319b674ddf90e1","observation_id":"758cdaf6-65c4-4c6c-b582-0ffa8ebd7a07","resolution":{"observed_at":"2026-08-07T11:20:07.398779Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:07.168707Z","title":null,"venue":null,"work_id":"8207cba7-26e6-4868-994a-d0fdefcae62f","year":1994},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:19:59.854566Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:1b5cbcce798d5a59559f84322d3bfbc2bda64e50c9e0b42e0ff4c3d472aeadd5","observation_id":"8de7285c-44fa-4a0b-873d-064c98c35076","resolution":{"observed_at":"2026-08-07T11:20:07.239567Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:07.010161Z","title":null,"venue":null,"work_id":"70d4c798-e3ea-4063-8f52-098e6159b304","year":1999},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:19:59.969889Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:bee042d2bdd7cb6d3d802554fff60d1a0a7b4388657acf2eb53f4f86617cdb6a","observation_id":"479f51ae-3ed1-4e1c-864f-ff7e36aa2560","resolution":{"observed_at":"2026-08-07T11:20:07.080283Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:06.892761Z","title":null,"venue":null,"work_id":"b2c52143-06b8-4e38-bc3a-f9004d518fb4","year":2017},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.108352Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:4ee15d7cbd5976ac43b6c408b462fe83eba52aaa3e57c048d225344c94397d6f","observation_id":"c5f63033-4aa8-40e9-af1f-ca730f4368ae","resolution":{"observed_at":"2026-08-07T11:20:06.936023Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:06.683119Z","title":null,"venue":null,"work_id":"847447d0-0154-48b5-b889-f8391004b656","year":2017},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.219147Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:ffc4d9c08919ca209ccb4bd2b2610696e5b77e8d810eac69557409458902ab0b","observation_id":"cabb5858-598f-4259-9f01-fd3d8b0d067e","resolution":{"observed_at":"2026-08-07T11:20:06.777049Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:06.549214Z","title":"High Energy Phys","venue":null,"work_id":"e0663187-723a-43d1-8f7b-08a4d74df91f","year":2023},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.342949Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:f1064133c903cda6e5964623baa1ff4adb09463c1aff07809dbc99c6adb0e251","observation_id":"24da016d-8f78-484c-8a0b-e3a87bc4dfd5","resolution":{"observed_at":"2026-08-07T11:20:06.604008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:06.422910Z","title":null,"venue":null,"work_id":"ff9e6629-a196-4b81-9c86-15a70cc85763","year":2015},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.446380Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:68b23c1200dad41e189def5220dfbd39929b8a87fd9738963b28ce00ba91d1d6","observation_id":"2035c1c0-bcae-4ff6-b1b1-34e6bc191832","resolution":{"observed_at":"2026-08-07T11:20:06.472087Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:06.242707Z","title":null,"venue":null,"work_id":"37776597-9f16-4d83-b090-647ce3ea28a9","year":2014},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.517495Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:4428b33b0f382ed87409117cf4ab22dca7a3654dde74402e52e1435540fd07c3","observation_id":"37ff8f6f-5f6d-4cc1-9ab5-a5573db37e17","resolution":{"observed_at":"2026-08-07T11:20:06.326475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:05.444740Z","title":null,"venue":null,"work_id":"be6579b8-6c3f-47d4-ba7e-0a8deb8ec5ec","year":2014},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.662705Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:0245249a4e8c08b6f6c502fd68204bdb2fad4b5fccd306a59db847ec05d1c9bd","observation_id":"c666ab0c-d727-483d-8950-785864db4461","resolution":{"observed_at":"2026-08-07T11:20:05.804122Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:05.238019Z","title":null,"venue":null,"work_id":"91014e7a-a399-4740-94ca-c6af98314e87","year":2023},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.767527Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:4d0b95174b97f19883f0114ddcaaa1cb6841527c0cd22f620db3fe6ac6782477","observation_id":"abf300f0-8e47-47f1-91ce-2a124216e6bd","resolution":{"observed_at":"2026-08-07T11:20:05.327666Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:05.020638Z","title":null,"venue":null,"work_id":"5159c909-959f-4d93-b916-9b9ad2cf9506","year":2016},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.887855Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:b1f5909abb52e61632ed597fd6f08b22826fd6dd5e9d968bc14d41d82cf7a303","observation_id":"ac52f95b-0746-4abc-b7b0-a3d8a09ae49b","resolution":{"observed_at":"2026-08-07T11:20:05.127119Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.793339Z","title":null,"venue":null,"work_id":"32fdbcf2-4d15-411c-88f2-685e71528c9e","year":2006},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:00.991971Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:187e7d9644194816473bda565b47496d22496dddce3bbb17053f67941e2818c9","observation_id":"a4e14106-cdac-4271-b8a6-c0bd889df91d","resolution":{"observed_at":"2026-08-07T11:20:04.899751Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.609883Z","title":null,"venue":null,"work_id":"6d025702-03f0-42cc-8fdf-522db8c1c842","year":2013},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.086303Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:5104cae85fd08e409d729bfff4195a50c7e7d617b2f3fcb474cd7af74c353d5a","observation_id":"b003008a-85a9-4016-882e-2b9f0845f7c6","resolution":{"observed_at":"2026-08-07T11:20:04.648357Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.506804Z","title":null,"venue":null,"work_id":"e66a3509-f6d7-4645-9f5b-df600ce47c9c","year":2018},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.158372Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:e6d12706b194bb281fabba28bd4893e77f3c008c86bc65aeddd762835ef7dd6c","observation_id":"497860ef-7df4-4000-9414-ed62ffad6d1f","resolution":{"observed_at":"2026-08-07T11:20:04.574574Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.427719Z","title":null,"venue":null,"work_id":"63e3cc1f-acdb-49ec-bffd-94107518bb62","year":null},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.239071Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:337ced3eeb16d90cbd70e33c93eff9d4c1a13831607433f15cc9c08a3c0edb61","observation_id":"e581a08f-ba67-4156-bfb1-3bcd6b22c21d","resolution":{"observed_at":"2026-08-07T11:20:04.465390Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.336458Z","title":null,"venue":null,"work_id":"db04ec18-9977-4448-b8e4-491f49ec6978","year":1926},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.326039Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:b7383893950a160eefe2eeeeb1a5cfcaaabdc9207529b42ff05bb1de0a2bc29f","observation_id":"627ff71e-2ca1-4cfe-bbe2-79aec9e2c597","resolution":{"observed_at":"2026-08-07T11:20:04.379833Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.240273Z","title":null,"venue":null,"work_id":"2fae17ba-c039-438e-83bd-9c107b0bde29","year":1949},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.411510Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:b3ce382b9003588dfcd2d0b779ab05e68b11fbd74c0c13a1cfa3a558ca52a95d","observation_id":"6e752de8-5f83-4783-9fc0-348663064093","resolution":{"observed_at":"2026-08-07T11:20:04.292436Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:04.070242Z","title":null,"venue":null,"work_id":"eb24c21c-9e5e-47ee-b78d-58f628c7686a","year":2009},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.491405Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:32cd73c7ebb79d724087812d00199af0ef144c7b1cc4bd2eb46807de424714ab","observation_id":"500dc788-e4eb-4da8-b83e-173ea08fdf86","resolution":{"observed_at":"2026-08-07T11:20:04.133513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:03.921059Z","title":null,"venue":null,"work_id":"fd1a7080-32b6-4119-8e75-2c7cb89135dd","year":2012},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.576538Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:c6f057c5bde32f25e5d90fb42db00f1717c82d72beb1608a0629715a07b86582","observation_id":"a632ff77-910f-4297-941e-15630ed2e7b1","resolution":{"observed_at":"2026-08-07T11:20:03.980213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:03.742435Z","title":null,"venue":null,"work_id":"65ace4cf-754f-44ca-9209-672483985c21","year":2019},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.659421Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:f31378dd2512a94ccdf0a8347bf64688485290a42063639217aaf859346cee24","observation_id":"ea05a507-4e56-47cd-a8e2-5fe4febd7a83","resolution":{"observed_at":"2026-08-07T11:20:03.821309Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:03.574716Z","title":null,"venue":null,"work_id":"1772a156-4de1-4613-8914-5d213e0f87fa","year":2013},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.745783Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:568a1be3c5bdfa30c76780e423f4a628f1268732b847f48fffe21b0f9b45112b","observation_id":"4ce67c71-31be-48cc-aedd-c478bb789756","resolution":{"observed_at":"2026-08-07T11:20:03.675476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:03.445679Z","title":null,"venue":null,"work_id":"bb039818-4c57-4c9e-92f9-a60622f75b3b","year":2005},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.815279Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:34a3d397d131012b716ed5081b20a1aa3eb2718f1d584ffe62dce0d55c08462a","observation_id":"208f57c4-807c-4a5d-9cda-337305b6b767","resolution":{"observed_at":"2026-08-07T11:20:03.495723Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:03.271753Z","title":null,"venue":null,"work_id":"233c3de2-7a27-45cf-ac7c-f08a55049805","year":2005},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.913825Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:87014e773f1764049dcff16ff3e10357e90d8fc4bc297801e88f4a5da8f6706a","observation_id":"26c93f44-5111-4e51-8c88-414b840d8450","resolution":{"observed_at":"2026-08-07T11:20:03.355007Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.15005363","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:02.428749Z","title":null,"venue":null,"work_id":"901a1e14-b18a-4b61-a21f-b6d2a9b6db0c","year":2025},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:01.992887Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:99150acd49b568797a2ea1179f9d53493ab9f41642a99a36444eb2662cecc338","observation_id":"a2a517f1-cb1b-422d-be33-32ddcaee19f1","resolution":{"observed_at":"2026-08-07T11:20:02.483057Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:03.111063Z","title":null,"venue":null,"work_id":"e5237b8a-70db-41c9-97e4-6ebea31b2bda","year":2012},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:02.058951Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:eda7b90e17e66f43d15c4ab5104b6405ddbc5c1e62dc42d7a1f21c04692fab34","observation_id":"39fcc820-bc64-4c93-a3f2-22f35e76adef","resolution":{"observed_at":"2026-08-07T11:20:03.199550Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:02.917058Z","title":null,"venue":null,"work_id":"3dfea0f7-bf7f-4b72-85f8-8fed113baf81","year":2009},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:02.152041Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:e4ec3bb0313d0417fc1b557e5ea36549e1a381ed06e7938530aa828340c7982c","observation_id":"5e49e7ad-1f0c-4204-8935-04b1f4490743","resolution":{"observed_at":"2026-08-07T11:20:03.017564Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:02.751149Z","title":null,"venue":null,"work_id":"e6371002-a568-4aba-89ef-594491c2706b","year":null},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:02.245705Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:5bb6ce320ccfea981a4ddb870bb07545b63778a62d2458716ba8eac30194b86a","observation_id":"e31eab4e-eb38-49cc-bbb5-85809e37094b","resolution":{"observed_at":"2026-08-07T11:20:02.834108Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:20:02.568023Z","title":null,"venue":null,"work_id":"933e2f09-187a-46f6-a9ab-0edaa5818fae","year":1996},"citing_paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T11:20:02.325727Z"},"links":{"citing_paper":"/paper/2506.03029"},"observation_digest":"sha256:0e27a0fd7ac473cee1b8443ab032bfa050dadf4734df35f9b801c03139b9fa68","observation_id":"d94434d8-89c8-4fd7-97b8-2bc95dcd6c57","resolution":{"observed_at":"2026-08-07T11:20:02.647989Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.03029","last_updated":"2025-06-03T16:03:09Z","latest_version":1,"primary_category":"cond-mat.quant-gas","snapshot_observed_at":"2026-08-07T11:07:53.864385Z","submitted_at":"2025-06-03T16:03:09Z","title":"Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":1,"verified_fuzzy":1},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.03029."}