{"as_of":"2026-08-17T15:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d60eed280a8a4483deb867c7ce09984dd53dd485bad69a997de887ef19ad068d","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T14:10:06.582352Z","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":"2026-05-11T19:46:15.452212Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1409.5421","last_updated":"2014-12-23T22:15:04Z","snapshot_observed_at":"2026-08-14T23:18:56.898238Z","submitted_at":"2014-09-18T19:43:19Z","title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.5421","snapshot_observed_at":"2026-08-11T14:10:06.582352Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.12524","last_updated":"2024-12-17T04:31:27Z","snapshot_observed_at":"2026-08-14T20:30:52.341868Z","submitted_at":"2024-12-17T04:31:27Z","title":"Quantum aspects of non-invertible flavor symmetries in intersecting/magnetized D-brane models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T14:10:06.582352Z"},"links":{"cited_paper":"/paper/1409.5421","citing_paper":"/paper/2412.12524"},"observation_digest":"sha256:971e378d89e5934a8345cfebeb5aad1dabbc445230be33fa06a879cf08b637ba","observation_id":"a2144a4f-a883-4f1b-9826-3b1597b89a50","resolution":{"observed_at":"2026-08-11T14:10:06.582352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5421","last_updated":"2014-12-23T22:15:04Z","snapshot_observed_at":"2026-08-14T23:18:56.898238Z","submitted_at":"2014-09-18T19:43:19Z","title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.5421","snapshot_observed_at":"2026-08-06T20:44:22.155241Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.02375","last_updated":"2025-07-03T07:15:03Z","snapshot_observed_at":"2026-08-15T21:15:10.333070Z","submitted_at":"2025-07-03T07:15:03Z","title":"On discrete gauging and non-invertible selection rules","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T20:44:22.155241Z"},"links":{"cited_paper":"/paper/1409.5421","citing_paper":"/paper/2507.02375"},"observation_digest":"sha256:384087e496875f92a5f5e2bcbe28661881cb77c917bf631c89ab1f8ae23cad24","observation_id":"e1929542-e0b6-44a6-8f63-b5b8ca4bfc14","resolution":{"observed_at":"2026-08-06T20:44:22.155241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5421","last_updated":"2014-12-23T22:15:04Z","snapshot_observed_at":"2026-08-14T23:18:56.898238Z","submitted_at":"2014-09-18T19:43:19Z","title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds","version":2},"cited_work":{"arxiv_id":"1409.5421","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1409.5421","snapshot_observed_at":"2026-07-04T19:16:32.127252Z","title":"Operator analysis of physical states on magnetized T 2/Z N orbifolds","venue":null,"work_id":"b087503c-9522-45a4-b926-dd6671d8d661","year":2014},"citing_paper":{"arxiv_id":"2604.06635","last_updated":"2026-04-08T03:20:37Z","snapshot_observed_at":"2026-08-15T03:12:40.830538Z","submitted_at":"2026-04-08T03:20:37Z","title":"Massive modes on magnetized blow-up manifold of $T^2/\\mathbb{Z}_N$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T18:42:51.950485Z"},"links":{"cited_paper":"/paper/1409.5421","citing_paper":"/paper/2604.06635"},"observation_digest":"sha256:4036ae36f016e7c4a5e56ec7d7ee8380559a8f39c5a38ce01cb934ae183e9763","observation_id":"faad2bcb-b197-49de-8f91-908a021430a6","resolution":{"observed_at":"2026-07-04T19:16:32.127252Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5421","last_updated":"2014-12-23T22:15:04Z","snapshot_observed_at":"2026-08-14T23:18:56.898238Z","submitted_at":"2014-09-18T19:43:19Z","title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds","version":2},"cited_work":{"arxiv_id":"1409.5421","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1409.5421","snapshot_observed_at":"2026-07-04T19:16:32.127252Z","title":"Operator analysis of physical states on magnetized T 2/Z N orbifolds","venue":null,"work_id":"b087503c-9522-45a4-b926-dd6671d8d661","year":2014},"citing_paper":{"arxiv_id":"2604.22248","last_updated":"2026-04-24T05:46:21Z","snapshot_observed_at":"2026-08-15T05:04:17.166439Z","submitted_at":"2026-04-24T05:46:21Z","title":"Vacuum structure of a scalar field on a torus with uniform magnetic flux","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-08T11:00:16.112241Z"},"links":{"cited_paper":"/paper/1409.5421","citing_paper":"/paper/2604.22248"},"observation_digest":"sha256:77ec887e67e0675e7f05758e37d8977726927b6d59b0b1ee54638fe52742b099","observation_id":"50e74136-2c14-47a8-8a8a-e990a3df6fd6","resolution":{"observed_at":"2026-07-04T19:16:32.127252Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1409.5421/citation-record","integrity":"/paper/1409.5421/integrity","json":"/paper/1409.5421/citation-record.json","paper":"/paper/1409.5421"},"outbound":[],"paper":{"arxiv_id":"1409.5421","last_updated":"2014-12-23T22:15:04Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-14T23:18:56.898238Z","submitted_at":"2014-09-18T19:43:19Z","title":"Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1409.5421."}