{"as_of":"2026-08-16T15:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5104a653cc05f616083249ef25928e911393071c51aa8e5ebfc309201a3d5280","coverage":[{"denominator":70,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":70,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:32:23.625472Z","state":"measured"},{"denominator":72,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":72,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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":"2026-08-06T21:52:31.415053Z","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":"2026-07-04T16:59:59.125608Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.12916","snapshot_observed_at":"2026-08-06T21:52:31.415053Z","title":"Modular Symmetry with Weighton,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.23343","last_updated":"2025-06-29T17:39:38Z","snapshot_observed_at":"2026-08-13T14:39:10.309543Z","submitted_at":"2025-06-29T17:39:38Z","title":"Modular Flavor Symmetries and Fermion Mass Hierarchies","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T21:52:31.415053Z"},"links":{"cited_paper":"/paper/2505.12916","citing_paper":"/paper/2506.23343"},"observation_digest":"sha256:563f98d031fb87f07ada9317670a0943fdd41036e15736f0c61165bb37370205","observation_id":"b67704e2-4459-4116-9436-ab0e61f1a3cb","resolution":{"observed_at":"2026-08-06T21:52:31.415053Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"cited_work":{"arxiv_id":"2505.12916","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.12916","snapshot_observed_at":"2026-07-04T16:59:59.125608Z","title":"Modular symmetry with weighton,","venue":null,"work_id":"0ff95d0d-b32d-4dbd-8a82-0274f022ee4a","year":2025},"citing_paper":{"arxiv_id":"2606.24277","last_updated":"2026-06-23T08:00:26Z","snapshot_observed_at":"2026-08-15T17:54:39.395040Z","submitted_at":"2026-06-23T08:00:26Z","title":"Non-holomorphic $S^{\\prime}_{4}$ modular symmetry for leptons and leptogenesis","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-25T23:58:51.989214Z"},"links":{"cited_paper":"/paper/2505.12916","citing_paper":"/paper/2606.24277"},"observation_digest":"sha256:82c6c52ccf87b83de27de724694b298d72f18b81cc24ecb92d25c8c0f8884f10","observation_id":"bf53b814-52b3-4715-8475-7b53177eb4ac","resolution":{"observed_at":"2026-07-04T16:59:59.127609Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.12916/citation-record","integrity":"/paper/2505.12916/integrity","json":"/paper/2505.12916/citation-record.json","paper":"/paper/2505.12916"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:32:23.260101Z","title":"Review of particle physics,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.260101Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:7a7d1c27cb9ae458424d53b20b29ae196232a1cdc67abcc2e44146576f832bde","observation_id":"6344f6cc-88f7-40cb-9d08-8e9d720c3164","resolution":{"observed_at":"2026-08-15T20:32:23.260101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.04413","last_updated":"2017-01-16T19:00:16Z","snapshot_observed_at":"2026-08-14T21:20:58.009874Z","submitted_at":"2017-01-16T19:00:16Z","title":"Unified Models of Neutrinos, Flavour and CP Violation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.04413","snapshot_observed_at":"2026-08-15T20:32:23.265814Z","title":"Unified Models of Neutrinos, Flavour and CP Violation,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.265814Z"},"links":{"cited_paper":"/paper/1701.04413","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:c7e92eb51770a9b62a7b2bef7081ba592eecf00a64e2169a2dfd0315de4ff4cf","observation_id":"59b3fba7-8416-4736-824d-c2471236aa10","resolution":{"observed_at":"2026-08-15T20:32:23.265814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.10806","last_updated":"2018-09-25T14:16:56Z","snapshot_observed_at":"2026-08-14T20:08:55.861680Z","submitted_at":"2017-11-29T12:14:22Z","title":"Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.10806","snapshot_observed_at":"2026-08-15T20:32:23.270739Z","title":"Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.270739Z"},"links":{"cited_paper":"/paper/1711.10806","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:d8c00997ccc241484e10345a6717f2f771323cebb9d91e6302c00534e5a3f561","observation_id":"90ea753b-ab0a-463b-9245-7cb14f63fef0","resolution":{"observed_at":"2026-08-15T20:32:23.270739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.09610","last_updated":"2020-04-24T13:26:37Z","snapshot_observed_at":"2026-08-07T20:48:01.843878Z","submitted_at":"2019-09-20T16:42:27Z","title":"Flavor structures of charged fermions and massive neutrinos","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.09610","snapshot_observed_at":"2026-08-15T20:32:23.276126Z","title":"Flavor structures of charged fermions and massive neutrinos,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.276126Z"},"links":{"cited_paper":"/paper/1909.09610","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:7019d01a9f3645659d8f1876d344674daa601a13b46af5b631fe403f40d7fc51","observation_id":"796ce1a7-3b74-4230-baac-287e52d33ab4","resolution":{"observed_at":"2026-08-15T20:32:23.276126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.06028","last_updated":"2021-03-21T14:45:10Z","snapshot_observed_at":"2026-08-16T10:25:06.609889Z","submitted_at":"2019-12-12T15:26:13Z","title":"Lepton Flavour Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.06028","snapshot_observed_at":"2026-08-15T20:32:23.281558Z","title":"Lepton flavor symmetries,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.281558Z"},"links":{"cited_paper":"/paper/1912.06028","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:f28524bbe72a34e1f6fd231a8c04233a358d8d5337c58fc746aa014503ed844b","observation_id":"5859b259-accb-4cf6-b43e-90aaee323958","resolution":{"observed_at":"2026-08-15T20:32:23.281558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16963","last_updated":"2025-02-03T18:07:39Z","snapshot_observed_at":"2026-08-16T14:15:10.742756Z","submitted_at":"2024-02-26T19:01:34Z","title":"The symmetry approach to quark and lepton masses and mixing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16963","snapshot_observed_at":"2026-08-15T20:32:23.286474Z","title":"The symmetry approach to quark and lepton masses and mixing,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.286474Z"},"links":{"cited_paper":"/paper/2402.16963","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:098b60e946f4339c6d5f11ed4fe36c5f396ccc672577f78938f6a4dec8850b2c","observation_id":"beb5fced-249c-4d4f-a149-5cc5da81b7a5","resolution":{"observed_at":"2026-08-15T20:32:23.286474Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.08749","last_updated":"2017-09-29T15:31:15Z","snapshot_observed_at":"2026-08-14T20:51:24.559802Z","submitted_at":"2017-06-27T09:26:24Z","title":"Are neutrino masses modular forms?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.08749","snapshot_observed_at":"2026-08-15T20:32:23.292119Z","title":"Are neutrino masses modular forms?,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.292119Z"},"links":{"cited_paper":"/paper/1706.08749","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:54a375038183084e2387a482fc8becedff28aa4ebb62943df49b039506be82e9","observation_id":"fe0c265a-23b8-4cb7-aa97-ffd7dffd4e9c","resolution":{"observed_at":"2026-08-15T20:32:23.292119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.03384","last_updated":"2023-07-18T01:35:11Z","snapshot_observed_at":"2026-08-16T05:15:11.869706Z","submitted_at":"2023-07-07T04:46:12Z","title":"Modular flavor symmetric models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.03384","snapshot_observed_at":"2026-08-15T20:32:23.297807Z","title":"Modular flavor symmetric models,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.297807Z"},"links":{"cited_paper":"/paper/2307.03384","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:5fe772e3a59136835e364aaefa576be0bb48192c316cfef47c2f4867543b5a89","observation_id":"33b36210-6f71-427a-b7f6-de28b8d419b7","resolution":{"observed_at":"2026-08-15T20:32:23.297807Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09282","last_updated":"2023-11-15T19:00:00Z","snapshot_observed_at":"2026-08-16T14:42:57.601583Z","submitted_at":"2023-11-15T19:00:00Z","title":"Neutrino Mass and Mixing with Modular Symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09282","snapshot_observed_at":"2026-08-15T20:32:23.302990Z","title":"Neutrino mass and mixing with modular symmetry,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.302990Z"},"links":{"cited_paper":"/paper/2311.09282","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:4aaa37c21eed0758c76d8bad9a9f3cda8f16bf8cec29b3ae1ae7a798fe3a6b9e","observation_id":"56b70d88-f4af-40c9-8f6d-7b18b801fbc8","resolution":{"observed_at":"2026-08-15T20:32:23.302990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.04546","last_updated":"2022-11-08T20:33:00Z","snapshot_observed_at":"2026-08-13T13:47:06.480137Z","submitted_at":"2022-11-08T20:33:00Z","title":"A minimal modular invariant neutrino model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.04546","snapshot_observed_at":"2026-08-15T20:32:23.307810Z","title":"A minimal modular invariant neutrino model,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.307810Z"},"links":{"cited_paper":"/paper/2211.04546","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:1f6c1e56a9a66556a3ca7ce10e7fbbec1395dac3f3e816cb88449da3253fa552","observation_id":"98a5acd6-e0e3-47ba-98c3-4024b1a9cac6","resolution":{"observed_at":"2026-08-15T20:32:23.307810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.14926","last_updated":"2024-10-20T12:41:59Z","snapshot_observed_at":"2026-08-16T15:12:47.668725Z","submitted_at":"2023-07-27T15:12:45Z","title":"Modular binary octahedral symmetry for flavor structure of Standard Model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.14926","snapshot_observed_at":"2026-08-15T20:32:23.312568Z","title":"Modular binary octahedral symmetry for flavor structure of Standard Model,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.312568Z"},"links":{"cited_paper":"/paper/2307.14926","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:6bb0a29b6d44a13a9fe05785baac66dfa354a6a4804c73ea14ac22e51bfb67ac","observation_id":"7ec155a5-e739-4d7b-9b5a-2f6b7ad2bfd0","resolution":{"observed_at":"2026-08-15T20:32:23.312568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.15823","last_updated":"2024-12-09T08:21:34Z","snapshot_observed_at":"2026-08-16T13:15:58.198766Z","submitted_at":"2024-09-24T07:38:14Z","title":"Interplay and Correlations Between Quark and Lepton Observables in Modular Symmetry Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.15823","snapshot_observed_at":"2026-08-15T20:32:23.317586Z","title":"Interplay and correlations between quark and lepton observables in modular symmetry models,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.317586Z"},"links":{"cited_paper":"/paper/2409.15823","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:475b5c5519b2da67bc5a8a91f78b438b764ff94fa52c010f8c821b1921c04ec4","observation_id":"b028317a-e671-4eb1-8c6b-dc2dfa892189","resolution":{"observed_at":"2026-08-15T20:32:23.317586Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0509012","last_updated":"2005-09-15T10:11:49Z","snapshot_observed_at":"2026-08-08T03:30:11.132774Z","submitted_at":"2005-09-01T15:24:07Z","title":"Kahler Moduli Inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0509012","snapshot_observed_at":"2026-08-15T20:32:23.322220Z","title":"Kahler moduli inflation,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.322220Z"},"links":{"cited_paper":"/paper/hep-th/0509012","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:50bca917ab4208cdf7159e3ae0ee57ddb8e7b5b7b5215aac270f592241f71542","observation_id":"e03fd89c-1632-4d3f-9a4c-bd486e3cb658","resolution":{"observed_at":"2026-08-15T20:32:23.322220Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0802.3160","last_updated":"2008-02-21T16:41:09Z","snapshot_observed_at":"2026-08-15T10:21:11.281845Z","submitted_at":"2008-02-21T16:41:09Z","title":"Models of Modular Inflation and Their Phenomenological Consequences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.3160","snapshot_observed_at":"2026-08-15T20:32:23.326908Z","title":"Models of Modular Inflation and Their Phenomenological Consequences,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.326908Z"},"links":{"cited_paper":"/paper/0802.3160","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:a506c976ba9e0198a2cc17ff63373660c88df5b348b061ce81f57cd14e5a8068","observation_id":"934d3958-e663-483e-8c3d-364c566b1b7a","resolution":{"observed_at":"2026-08-15T20:32:23.326908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1604.02995","last_updated":"2016-04-11T15:22:21Z","snapshot_observed_at":"2026-08-15T08:03:31.335568Z","submitted_at":"2016-04-11T15:22:21Z","title":"Modular invariant inflation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.02995","snapshot_observed_at":"2026-08-15T20:32:23.331634Z","title":"Modular invariant inflation,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.331634Z"},"links":{"cited_paper":"/paper/1604.02995","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:c45a2dd8d98b1b3f2f231332abd79d4c235e1bd62d7e7ae0aad539f71286df8b","observation_id":"87d3d144-ff76-4d27-9985-2f93f0c46df1","resolution":{"observed_at":"2026-08-15T20:32:23.331634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.02947","last_updated":"2023-06-27T07:18:45Z","snapshot_observed_at":"2026-08-15T08:07:02.844783Z","submitted_at":"2023-03-06T07:35:22Z","title":"Moduli inflation from modular flavor symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.02947","snapshot_observed_at":"2026-08-15T20:32:23.336477Z","title":"Moduli inflation from modular flavor symmetries,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.336477Z"},"links":{"cited_paper":"/paper/2303.02947","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:3cf63211bab851b0711cba848d2890dce47ad70e812f3cfb1c7e0acde77d4b38","observation_id":"adb08cab-8f6d-4b50-ad1e-3090bb0d654c","resolution":{"observed_at":"2026-08-15T20:32:23.336477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.06497","last_updated":"2024-10-18T17:42:49Z","snapshot_observed_at":"2026-08-16T13:53:43.618989Z","submitted_at":"2024-05-10T14:20:45Z","title":"Modular Invariant Slow Roll Inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.06497","snapshot_observed_at":"2026-08-15T20:32:23.342137Z","title":"Modular invariant slow roll inflation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.342137Z"},"links":{"cited_paper":"/paper/2405.06497","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:3300a5b5fcc633028198dfe95ccae42362dd7d425b50579bc88655d76145803d","observation_id":"125e0066-0b93-41c6-be73-c8fb2c587aa2","resolution":{"observed_at":"2026-08-15T20:32:23.342137Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.08924","last_updated":"2024-07-29T16:43:18Z","snapshot_observed_at":"2026-08-16T13:52:41.416526Z","submitted_at":"2024-05-14T19:38:21Z","title":"Modular Invariant Hilltop Inflation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.08924","snapshot_observed_at":"2026-08-15T20:32:23.346755Z","title":"Modular invariant hilltop inflation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.346755Z"},"links":{"cited_paper":"/paper/2405.08924","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:9aebdeda6f3588fa063bf1da582344b6b5eabeb9ba548f0b40b8b91ebae9cdf4","observation_id":"d1d9353e-b6e9-45f9-a399-8adaa9c1a49f","resolution":{"observed_at":"2026-08-15T20:32:23.346755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.12081","last_updated":"2024-09-16T12:50:27Z","snapshot_observed_at":"2026-08-16T13:33:39.285929Z","submitted_at":"2024-07-16T18:00:01Z","title":"Modular Invariant Starobinsky Inflation and the Species Scale","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.12081","snapshot_observed_at":"2026-08-15T20:32:23.352283Z","title":"Modular invariant Starobinsky inflation and the Species Scale,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.352283Z"},"links":{"cited_paper":"/paper/2407.12081","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:ec4470d8aa8a218ecb6cf80f5f8a922f30f2927d7acb986e6b9f832535572372","observation_id":"9594bdd7-4574-4e2c-955c-70d7b874df93","resolution":{"observed_at":"2026-08-15T20:32:23.352283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.05203","last_updated":"2024-10-10T17:41:57Z","snapshot_observed_at":"2026-08-16T13:27:24.223896Z","submitted_at":"2024-08-09T17:49:16Z","title":"$SL(2,\\mathbb{Z})$ Cosmological Attractors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.05203","snapshot_observed_at":"2026-08-15T20:32:23.357849Z","title":"SL(2, Z) Cosmological Attractors,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.357849Z"},"links":{"cited_paper":"/paper/2408.05203","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:0a27c9737a9658a6eb0afe4167c66c4df350d71fd8b72471ecc4e82196273573","observation_id":"abecaa56-f6a2-47ad-985a-5cfe699986ae","resolution":{"observed_at":"2026-08-15T20:32:23.357849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:32:23.363436Z","title":"Modular invariant inflation, reheating and leptogenesis,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.363436Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:1cc4de9238a7fe2c74f5d3580a6f200ecd7c03bcb7c226ff1ec7e370a566cae6","observation_id":"f6248392-1d3f-4971-94e1-f456f50895a2","resolution":{"observed_at":"2026-08-15T20:32:23.363436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.14242","last_updated":"2020-12-16T04:10:54Z","snapshot_observed_at":"2026-08-16T10:37:51.699528Z","submitted_at":"2020-09-29T18:21:35Z","title":"Modular invariant flavor model of $\\rm A_4$ and hierarchical structures at nearby fixed points","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.14242","snapshot_observed_at":"2026-08-15T20:32:23.368645Z","title":"Modular invariant flavor model of A4 and hierarchical structures at nearby fixed points,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.368645Z"},"links":{"cited_paper":"/paper/2009.14242","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:f833d28610ea24089ca1074a88b4aac5ced4c1211fb3bf4cc52c138486fc711e","observation_id":"4fe571bd-7276-4970-85ba-cb95c47eb769","resolution":{"observed_at":"2026-08-15T20:32:23.368645Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.07488","last_updated":"2024-06-10T11:07:52Z","snapshot_observed_at":"2026-08-16T10:36:06.124033Z","submitted_at":"2021-02-15T11:44:31Z","title":"Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.07488","snapshot_observed_at":"2026-08-15T20:32:23.373901Z","title":"Fermion mass hierarchies, large lepton mixing and residual modular symmetries,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.373901Z"},"links":{"cited_paper":"/paper/2102.07488","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:7165c92842830a733256781419b6b3538f24024476fca2338f5ce90fd16c62cd","observation_id":"9634c6ea-e965-402f-a9ef-f4b59179f182","resolution":{"observed_at":"2026-08-15T20:32:23.373901Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.13336","last_updated":"2023-03-19T01:46:42Z","snapshot_observed_at":"2026-08-16T10:39:41.461233Z","submitted_at":"2022-12-27T01:48:44Z","title":"$A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\\tau = \\omega$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.13336","snapshot_observed_at":"2026-08-15T20:32:23.379158Z","title":"A4 modular flavour model of quark mass hierarchies close to the fixed point τ =ω,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.379158Z"},"links":{"cited_paper":"/paper/2212.13336","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:48a32f6e199fab12291f9abe681153588882ac96a5f815f8665812c90f72788a","observation_id":"740f6d95-2a3e-44b0-a86b-be248c116ff9","resolution":{"observed_at":"2026-08-15T20:32:23.379158Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.03737","last_updated":"2023-01-10T01:06:11Z","snapshot_observed_at":"2026-08-16T10:38:36.358902Z","submitted_at":"2023-01-10T01:06:11Z","title":"Quark hierarchical structures in modular symmetric flavor models at level 6","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.03737","snapshot_observed_at":"2026-08-15T20:32:23.384755Z","title":"Quark hierarchical structures in modular symmetric flavor models at level 6,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.384755Z"},"links":{"cited_paper":"/paper/2301.03737","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:3b10d3f6c3754b3254295e25b1c5fe4e5ebbb64bb3ff0aad0c677deac808d637","observation_id":"d3fde64c-7715-4a6f-a0f2-a10deb45002b","resolution":{"observed_at":"2026-08-15T20:32:23.384755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.03326","last_updated":"2023-07-03T01:40:17Z","snapshot_observed_at":"2026-08-15T13:49:05.860545Z","submitted_at":"2023-02-07T09:07:22Z","title":"Quark mass hierarchies and CP violation in $A_4\\times A_4\\times A_4$ modular symmetric flavor models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.03326","snapshot_observed_at":"2026-08-15T20:32:23.389781Z","title":"Quark mass hierarchies and CP violation in A 4 × A4 × A4 modular symmetric flavor models,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.389781Z"},"links":{"cited_paper":"/paper/2302.03326","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:921a80687265d81fe740d2f089ecc7ea84cc9e61fc8672177f79b701a8728ac5","observation_id":"d33c4add-8093-4998-9e5f-d604f20602d1","resolution":{"observed_at":"2026-08-15T20:32:23.389781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.11183","last_updated":"2023-02-22T07:33:59Z","snapshot_observed_at":"2026-08-16T10:39:40.364229Z","submitted_at":"2023-02-22T07:33:59Z","title":"Quark and lepton hierarchies from $S_4^\\prime$ modular flavor symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.11183","snapshot_observed_at":"2026-08-15T20:32:23.395607Z","title":"Quark and lepton hierarchies from S4’ modular flavor symmetry,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.395607Z"},"links":{"cited_paper":"/paper/2302.11183","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:f0f5b812f26985c940d0c460a19b9933692012f25204d47a159e1dd13b760069","observation_id":"e7dd2a1d-5fc2-4df3-ab23-0d4fcb5656fd","resolution":{"observed_at":"2026-08-15T20:32:23.395607Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05730","last_updated":"2023-07-25T01:08:43Z","snapshot_observed_at":"2026-08-16T10:37:47.908438Z","submitted_at":"2023-06-09T07:51:36Z","title":"$A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\\tau = i\\infty$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.05730","snapshot_observed_at":"2026-08-15T20:32:23.400620Z","title":"A4 Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point τ =i∞,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.400620Z"},"links":{"cited_paper":"/paper/2306.05730","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:79e540913f5e20ff53221b3a8c15596110c2afabff0a1816e7d29877e92a5c1e","observation_id":"04a6cc0f-5369-4401-a0d2-62ad3c447325","resolution":{"observed_at":"2026-08-15T20:32:23.400620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.14410","last_updated":"2023-07-26T18:00:00Z","snapshot_observed_at":"2026-08-16T15:13:02.567469Z","submitted_at":"2023-07-26T18:00:00Z","title":"Quarks at the modular $S_4$ cusp","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.14410","snapshot_observed_at":"2026-08-15T20:32:23.405603Z","title":"Quarks at the modular S 4 cusp,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.405603Z"},"links":{"cited_paper":"/paper/2307.14410","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:c4bcb85e6a14277931e4dbd12a8dc28fdec491c413b607fb86baf67d75444d59","observation_id":"32f5342c-ca5c-445e-bdbe-3607cb0bca1d","resolution":{"observed_at":"2026-08-15T20:32:23.405603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.00659","last_updated":"2022-11-01T18:00:03Z","snapshot_observed_at":"2026-08-16T10:38:16.102834Z","submitted_at":"2022-11-01T18:00:03Z","title":"The irresistible call of $\\tau=i$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.00659","snapshot_observed_at":"2026-08-15T20:32:23.410078Z","title":"Universal Predictions of Modular Invariant Flavor Models near the Self-Dual Point,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.410078Z"},"links":{"cited_paper":"/paper/2211.00659","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:abee9abc4cd6007c7870243ff0f812fb0104f1bc67e47470a0931212a10379b3","observation_id":"5ab08e90-7e59-4bed-8b7e-af7562b13eda","resolution":{"observed_at":"2026-08-15T20:32:23.410078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.11580","last_updated":"2023-02-22T19:00:01Z","snapshot_observed_at":"2026-08-13T12:39:19.172657Z","submitted_at":"2023-02-22T19:00:01Z","title":"Fermion masses, critical behavior and universality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.11580","snapshot_observed_at":"2026-08-15T20:32:23.414787Z","title":"Fermion masses, critical behavior and universality,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.414787Z"},"links":{"cited_paper":"/paper/2302.11580","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:657f3deae1b31e03c0fd223a1b72e9bb6f6c1a066615056a99460ee272b0bc30","observation_id":"ecf52f54-a37a-4215-a84a-9835839dc5bf","resolution":{"observed_at":"2026-08-15T20:32:23.414787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08718","last_updated":"2021-05-26T14:15:41Z","snapshot_observed_at":"2026-08-13T20:26:29.245058Z","submitted_at":"2021-01-21T16:57:33Z","title":"Modular Invariant Dynamics and Fermion Mass Hierarchies around $\\tau = i$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.08718","snapshot_observed_at":"2026-08-15T20:32:23.419500Z","title":"Modular invariant dynamics and fermion mass hierarchies around τ =i,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.419500Z"},"links":{"cited_paper":"/paper/2101.08718","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:b19363231ae7b9178a03a0561ef4f32dce68b28ce2be5bdb3e334684fb3fed0a","observation_id":"7e193aea-1a45-415b-89c5-bb0a2028a768","resolution":{"observed_at":"2026-08-15T20:32:23.419500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.14915","last_updated":"2024-02-22T19:00:02Z","snapshot_observed_at":"2026-08-16T14:16:06.806301Z","submitted_at":"2024-02-22T19:00:02Z","title":"Universal predictions of Siegel modular invariant theories near the fixed points","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.14915","snapshot_observed_at":"2026-08-15T20:32:23.424783Z","title":"Universal predictions of Siegel modular invariant theories near the fixed points,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.424783Z"},"links":{"cited_paper":"/paper/2402.14915","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:258173c58ccf32e55149c02b3b2fad15ff7c0f782cf4c2c2544a2681b27812e1","observation_id":"b4529d5d-3535-4a67-89bd-b8b5acc9f4d1","resolution":{"observed_at":"2026-08-15T20:32:23.424783Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.00969","last_updated":"2020-09-28T10:30:51Z","snapshot_observed_at":"2026-08-16T10:52:28.516570Z","submitted_at":"2020-02-03T19:00:04Z","title":"Fermion Mass Hierarchies from Modular Symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.00969","snapshot_observed_at":"2026-08-15T20:32:23.429900Z","title":"Fermion mass hierarchies from modular symmetry,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.429900Z"},"links":{"cited_paper":"/paper/2002.00969","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:eee940961e0972aa01aa6432f817d4eedd61b57df0db613b3a3584ed32d67a18","observation_id":"50259ba2-b6dd-40f8-8194-9523c422d01a","resolution":{"observed_at":"2026-08-15T20:32:23.429900Z","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":"2026-08-15T20:32:25.106896Z","title":"Hierarchy of Quark Masses, Cabibbo Angles and CP Violation,","venue":null,"work_id":"19ca1b93-f1c3-4802-864b-06001cb34614","year":1979},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.434507Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:c898c329d059204f4cf6e90b57b06eb178cd76d04c9e398f451588789dec6156","observation_id":"498ff137-9e48-4af1-9aac-5de340e212e3","resolution":{"observed_at":"2026-08-15T20:32:25.112548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.11867","last_updated":"2019-08-30T17:58:36Z","snapshot_observed_at":"2026-08-15T19:47:31.567381Z","submitted_at":"2019-08-30T17:58:36Z","title":"Modular Invariant Models of Lepton Masses at Levels 4 and 5","version":1},"cited_work":{"arxiv_id":"1908.11867","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.11867","snapshot_observed_at":"2026-08-15T20:32:24.386495Z","title":"Modular Invariant Models of Lepton Masses at Levels 4 and 5","venue":"hep-ph","work_id":"8b9803e7-ca7f-4935-b46b-1f6447dd4559","year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.439463Z"},"links":{"cited_paper":"/paper/1908.11867","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:39ef838b75312e3c09a2b78d1ef658febcd6271b46075ae07237fce12fca9057","observation_id":"fe95a2b9-0133-4bca-b86c-ee71d9f8f31f","resolution":{"observed_at":"2026-08-15T20:32:24.391750Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:32:23.444215Z","title":"Duality and the Role of Nonperturbative Effects on the World Sheet,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.444215Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:9a9eeb90da8ecb17abf45d7eb32de5b5963aaa286ae6c4f5e6a96488871b4e35","observation_id":"9b3ba8cd-c55e-4537-8484-66d482746cac","resolution":{"observed_at":"2026-08-15T20:32:23.444215Z","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":"2026-08-15T20:32:25.076762Z","title":"Target Space Modular Invariance and Low-Energy Couplings in Orbifold Compactifications,","venue":null,"work_id":"8f37e6e8-8493-4036-8a96-703282008601","year":1989},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.448573Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:31a25d11acd1c58698ec8095080fe73546981a09d6ea07acf7eccb382a7fe161","observation_id":"a60bbf31-6c0e-4562-a1d8-a05f80ae4c67","resolution":{"observed_at":"2026-08-15T20:32:25.083049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-15T20:32:25.059045Z","title":"Modular Invariance in Supersymmetric Field Theories,","venue":null,"work_id":"998ed6d6-8fc2-4a8e-9362-2fa53b0f411d","year":1989},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.453200Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:b4d8f61e0bda21b9e5c3fde3145c2bff253f223b6be1ffbadf10f10f54cfd031","observation_id":"005e21b4-7303-41e1-a253-56d6985bf9d6","resolution":{"observed_at":"2026-08-15T20:32:25.063858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.06910","last_updated":"2019-09-15T23:37:45Z","snapshot_observed_at":"2026-07-06T08:21:56.710848Z","submitted_at":"2019-09-15T23:37:45Z","title":"A note on the predictions of models with modular flavor symmetries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.06910","snapshot_observed_at":"2026-08-15T20:32:23.457658Z","title":"A note on the predictions of models with modular flavor symmetries,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.457658Z"},"links":{"cited_paper":"/paper/1909.06910","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:28fe755abdbe67533d6d54a0b9c98fcc3d417bba40c16f0a7b7570106e405d85","observation_id":"9fbc9821-0feb-40ed-9bc2-f7900a53dd4a","resolution":{"observed_at":"2026-08-15T20:32:23.457658Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.11289","last_updated":"2019-04-19T00:14:40Z","snapshot_observed_at":"2026-08-14T17:37:17.979538Z","submitted_at":"2018-12-29T05:35:47Z","title":"Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.11289","snapshot_observed_at":"2026-08-15T20:32:23.462557Z","title":"Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.462557Z"},"links":{"cited_paper":"/paper/1812.11289","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:5e7f570e3ad189c7ae52fa47fdba0f9361009de8feac4b328a944fac4f630002","observation_id":"e8018017-0211-41aa-bff8-97c0edb40d22","resolution":{"observed_at":"2026-08-15T20:32:23.462557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:32:23.468259Z","title":"Modular S 4 and A4 symmetries and their fixed points: new predictive examples of lepton mixing,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.468259Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:4d69e914919ccf122a80bd812c753e7fd82bc4ba4f0248090a03a9845b37ca3e","observation_id":"3dd8863b-3428-456e-a8c3-99ad8be3467b","resolution":{"observed_at":"2026-08-15T20:32:23.468259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.11970","last_updated":"2019-08-15T14:13:11Z","snapshot_observed_at":"2026-08-14T16:25:01.474501Z","submitted_at":"2019-05-28T17:46:58Z","title":"Generalised CP Symmetry in Modular-Invariant Models of Flavour","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.11970","snapshot_observed_at":"2026-08-15T20:32:23.473287Z","title":"Generalised CP Symmetry in Modular-Invariant Models of Flavour,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.473287Z"},"links":{"cited_paper":"/paper/1905.11970","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:bddcac01fbdd152ccf55b79b33625040839b51692745ab3ea46320500baaa556","observation_id":"fa6633c6-2352-4e77-a5f1-3eddeaac455c","resolution":{"observed_at":"2026-08-15T20:32:23.473287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05380","last_updated":"2025-10-28T13:33:51Z","snapshot_observed_at":"2026-08-13T20:34:18.192890Z","submitted_at":"2024-10-07T18:00:02Z","title":"NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05380","snapshot_observed_at":"2026-08-15T20:32:23.478408Z","title":"NuFit-6.0: updated global analysis of three-flavor neutrino oscillations,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.478408Z"},"links":{"cited_paper":"/paper/2410.05380","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:e9fafa239fe076fc711ec8e390b7e7f7d60f796ac70355b671ffbe0dee6f3064","observation_id":"669f81c4-b0e8-4e5d-920c-4cc920b33f29","resolution":{"observed_at":"2026-08-15T20:32:23.478408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0704.1248","last_updated":"2008-06-11T17:22:42Z","snapshot_observed_at":"2026-08-15T10:42:58.212138Z","submitted_at":"2007-04-10T15:04:53Z","title":"Unification and Fermion Mass Structure","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0704.1248","snapshot_observed_at":"2026-08-15T20:32:23.483027Z","title":"Unification and fermion mass structure,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.483027Z"},"links":{"cited_paper":"/paper/0704.1248","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:ec43b269636591bbecf08a085e0194aa1c273dc1e2508aaf36dfb57d6f4537c9","observation_id":"2dfd89f2-9f1d-41a1-9633-bd0cb4c3ec0c","resolution":{"observed_at":"2026-08-15T20:32:23.483027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:32:23.487996Z","title":"Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.487996Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:d4b2eac5a43f65d8a64eea2c0a9bcb52e4a863663f888586892e15ac4ecbe46f","observation_id":"7a3ce626-e746-490b-8088-b745a5b011a4","resolution":{"observed_at":"2026-08-15T20:32:23.487996Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.01787","last_updated":"2022-11-10T12:33:14Z","snapshot_observed_at":"2026-08-16T13:11:44.371660Z","submitted_at":"2022-02-03T19:00:01Z","title":"Toward the discovery of matter creation with neutrinoless double-beta decay","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.01787","snapshot_observed_at":"2026-08-15T20:32:23.493606Z","title":"Toward the discovery of matter creation with neutrinoless ββ decay,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.493606Z"},"links":{"cited_paper":"/paper/2202.01787","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:90ef5f2d464107a169770c0970a821a658ab430f5a828180a8b5b624fd62d2f0","observation_id":"c37cdb95-b772-4f04-8410-22035b915a07","resolution":{"observed_at":"2026-08-15T20:32:23.493606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.07952","last_updated":"2020-10-15T18:00:07Z","snapshot_observed_at":"2026-07-06T10:04:55.122236Z","submitted_at":"2020-10-15T18:00:07Z","title":"Automorphic Forms and Fermion Masses","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.07952","snapshot_observed_at":"2026-08-15T20:32:23.499624Z","title":"Automorphic Forms and Fermion Masses,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.499624Z"},"links":{"cited_paper":"/paper/2010.07952","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:b265b7ed7ec5fda0a4d5cbddc2ec0f6637e2ae4fcb72b37b85b20959a2e09bbb","observation_id":"f60720a2-d9d3-4ff0-9224-2e9d1e43c702","resolution":{"observed_at":"2026-08-15T20:32:23.499624Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.02527","last_updated":"2024-07-19T14:07:23Z","snapshot_observed_at":"2026-08-16T13:46:10.696900Z","submitted_at":"2024-06-04T17:49:57Z","title":"Non-holomorphic modular flavor symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.02527","snapshot_observed_at":"2026-08-15T20:32:23.507986Z","title":"Non-holomorphic modular flavor symmetry,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.507986Z"},"links":{"cited_paper":"/paper/2406.02527","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:e1ee1e3f791c71107fb2df24f0ee55f7b904df06aebf2235e3e4d266777c1b2d","observation_id":"4e29453e-f42d-4892-af02-eda2a7756d0b","resolution":{"observed_at":"2026-08-15T20:32:23.507986Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.08136","last_updated":"2022-11-15T13:45:32Z","snapshot_observed_at":"2026-08-16T13:23:32.623502Z","submitted_at":"2022-11-15T13:45:32Z","title":"Texture-zero patterns of lepton mass matrices from modular symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.08136","snapshot_observed_at":"2026-08-15T20:32:23.513854Z","title":"Texture-zero patterns of lepton mass matrices from modular symmetry,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.513854Z"},"links":{"cited_paper":"/paper/2211.08136","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:fdccf66b71580abce2f11d8e34bae26f032e1751c27090ec5bf7ff6a24a62ad1","observation_id":"c9fc20df-04d3-407b-8461-fc1d4c4eb67c","resolution":{"observed_at":"2026-08-15T20:32:23.513854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.01488","last_updated":"2019-07-02T16:50:46Z","snapshot_observed_at":"2026-08-16T10:37:27.899413Z","submitted_at":"2019-07-02T16:50:46Z","title":"Neutrino Masses and Mixing from Double Covering of Finite Modular Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.01488","snapshot_observed_at":"2026-08-15T20:32:23.519329Z","title":"Neutrino Masses and Mixing from Double Covering of Finite Modular Groups,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.519329Z"},"links":{"cited_paper":"/paper/1907.01488","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:68d9de80919448aae8eb8d516e114fb81b955a51dc17e1655c2d2d9fb28d182f","observation_id":"79bf2a28-4f5e-4b01-b110-ea90f8dde461","resolution":{"observed_at":"2026-08-15T20:32:23.519329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.07573","last_updated":"2021-09-29T07:50:03Z","snapshot_observed_at":"2026-07-06T08:44:52.852214Z","submitted_at":"2019-12-16T18:36:40Z","title":"Modular symmetry origin of texture zeros and quark lepton unification","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.07573","snapshot_observed_at":"2026-08-15T20:32:23.524778Z","title":"Modular symmetry origin of texture zeros and quark lepton unification,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.524778Z"},"links":{"cited_paper":"/paper/1912.07573","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:959d5047f87ef1b5df8cc1281f7b970e4624daeef21000b72e19ec3d8a210e80","observation_id":"bf21054a-691d-4af3-b73d-3814c6e22d72","resolution":{"observed_at":"2026-08-15T20:32:23.524778Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0105285","last_updated":"2001-10-21T22:33:46Z","snapshot_observed_at":"2026-07-07T03:52:30.423620Z","submitted_at":"2001-05-27T23:43:56Z","title":"CP violation and modular symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0105285","snapshot_observed_at":"2026-08-15T20:32:23.529855Z","title":"CP violation and modular symmetries,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.529855Z"},"links":{"cited_paper":"/paper/hep-ph/0105285","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:3c829ac8fd24931581e89e3fbf2d814cf36efcf1b5d4dcb547f44cfb07065b21","observation_id":"ca182133-2bf8-47a4-b2e0-3656ea0c2a22","resolution":{"observed_at":"2026-08-15T20:32:23.529855Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0111024","last_updated":"2002-02-07T01:58:41Z","snapshot_observed_at":"2026-08-16T10:41:16.827267Z","submitted_at":"2001-11-02T20:58:10Z","title":"On the modular invariance of mass eigenstates and CP violation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0111024","snapshot_observed_at":"2026-08-15T20:32:23.535079Z","title":"On the modular invariance of mass eigenstates and CP violation,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.535079Z"},"links":{"cited_paper":"/paper/hep-th/0111024","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:4f600518d413f369bab1e969c9d5d6a06f41b4ca63b82db7e18ec8e0ab3196f1","observation_id":"828726fd-cc41-4bc0-a6d1-3117ae682d46","resolution":{"observed_at":"2026-08-15T20:32:23.535079Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.03251","last_updated":"2019-03-15T16:44:31Z","snapshot_observed_at":"2026-08-14T17:32:37.700985Z","submitted_at":"2019-01-10T16:20:00Z","title":"Unification of Flavor, CP, and Modular Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.03251","snapshot_observed_at":"2026-08-15T20:32:23.541236Z","title":"Unification of Flavor, CP, and Modular Symmetries,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.541236Z"},"links":{"cited_paper":"/paper/1901.03251","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:e08bf9d82fc2643ea92a71dc4f3fa391b761f46525f2515bb32fbf815d49a142","observation_id":"9ba8b3c9-adbf-4fce-823f-4fe646aa6b7e","resolution":{"observed_at":"2026-08-15T20:32:23.541236Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.00805","last_updated":"2019-08-02T11:10:12Z","snapshot_observed_at":"2026-08-14T15:29:48.883448Z","submitted_at":"2019-08-02T11:10:12Z","title":"A String Theory of Flavor and CP","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.00805","snapshot_observed_at":"2026-08-15T20:32:23.546231Z","title":"A String Theory of Flavor andCP ,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.546231Z"},"links":{"cited_paper":"/paper/1908.00805","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:ffffdc804e83737ac6105df7121f39a09721b248413eb332eb7a5404694b10a7","observation_id":"db7197fd-293f-4881-93eb-d1d77d3c9578","resolution":{"observed_at":"2026-08-15T20:32:23.546231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1211.5560","last_updated":"2013-07-02T05:09:41Z","snapshot_observed_at":"2026-08-15T00:38:21.914149Z","submitted_at":"2012-11-23T17:32:53Z","title":"Lepton Mixing Parameters from Discrete and CP Symmetries","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1211.5560","snapshot_observed_at":"2026-08-15T20:32:23.556076Z","title":"Lepton Mixing Parameters from Discrete and CP Symmetries,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.556076Z"},"links":{"cited_paper":"/paper/1211.5560","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:ae753b0b98f4a8d9dba13dc6f5e798e308485b5c6114d90e9a7a3db85447e6f7","observation_id":"1f7ebc7b-89b3-42a1-9319-0713ac1a2443","resolution":{"observed_at":"2026-08-15T20:32:23.556076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.8352","last_updated":"2014-12-29T14:30:04Z","snapshot_observed_at":"2026-08-15T22:03:56.065689Z","submitted_at":"2014-12-29T14:30:04Z","title":"Lepton Flavor Mixing and CP Symmetry","version":1},"cited_work":{"arxiv_id":"1412.8352","doi":null,"metadata_source":"pith","pith_arxiv_id":"1412.8352","snapshot_observed_at":"2026-08-15T20:32:23.899563Z","title":"Lepton Flavor Mixing and CP Symmetry","venue":"hep-ph","work_id":"d4d4e25f-106c-4174-8b80-71cbf3ae506d","year":2014},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.561350Z"},"links":{"cited_paper":"/paper/1412.8352","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:14f40c454622161a52b26f2f77f812dd8f209c20a8de8714d7a82bc213ee60a8","observation_id":"8256710d-7904-4515-af7f-5f3b593e85a1","resolution":{"observed_at":"2026-08-15T20:32:23.905279Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.03419","last_updated":"2015-07-13T12:24:28Z","snapshot_observed_at":"2026-08-14T22:40:42.104118Z","submitted_at":"2015-07-13T12:24:28Z","title":"Neutrino Mixing from CP Symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.03419","snapshot_observed_at":"2026-08-15T20:32:23.566683Z","title":"Neutrino Mixing from CP Symmetry,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.566683Z"},"links":{"cited_paper":"/paper/1507.03419","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:30018775e03c37784e93c47571d80bc476473ebb2ed992ba436d1268b14e79c4","observation_id":"7d6a9345-717e-4e4f-bc57-b74112608374","resolution":{"observed_at":"2026-08-15T20:32:23.566683Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T20:32:23.571761Z","title":"Target space duality, supersymmetry breaking and the stability of classical string vacua,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.571761Z"},"links":{"citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:a2daaaa81b8bc80c5ef001d180b3aff2550894c0f46ba4e971d475a47e2846db","observation_id":"f361f55b-e3a2-4ae3-87cb-92163684130e","resolution":{"observed_at":"2026-08-15T20:32:23.571761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.02020","last_updated":"2022-04-13T14:52:17Z","snapshot_observed_at":"2026-08-16T00:25:00.564938Z","submitted_at":"2022-01-06T11:56:02Z","title":"Modular Flavour Symmetries and Modulus Stabilisation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.02020","snapshot_observed_at":"2026-08-15T20:32:23.577078Z","title":"Modular flavour symmetries and modulus stabilisation,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.577078Z"},"links":{"cited_paper":"/paper/2201.02020","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:e97a38cf1b44cbc66d2514718ad22992af99fda81da6d60906bb0f60bda5f27a","observation_id":"9d5c804c-fc6c-4e4d-8afa-e728d2247ec1","resolution":{"observed_at":"2026-08-15T20:32:23.577078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.03876","last_updated":"2023-03-04T14:34:12Z","snapshot_observed_at":"2026-08-16T13:36:21.235622Z","submitted_at":"2022-12-07T19:00:00Z","title":"Heterotic de Sitter Beyond Modular Symmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.03876","snapshot_observed_at":"2026-08-15T20:32:23.582108Z","title":"Heterotic de Sitter beyond modular symmetry,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.582108Z"},"links":{"cited_paper":"/paper/2212.03876","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:35d51031d113049f6c6893806a858a914decb497ab35efde1681e52fb2aa6a44","observation_id":"8eec6a88-2230-4eae-868d-07ed3820223e","resolution":{"observed_at":"2026-08-15T20:32:23.582108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.09154","last_updated":"2020-11-18T08:23:38Z","snapshot_observed_at":"2026-08-09T21:53:58.484168Z","submitted_at":"2020-11-18T08:23:38Z","title":"Landscape of Modular Symmetric Flavor Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.09154","snapshot_observed_at":"2026-08-15T20:32:23.587256Z","title":"Landscape of Modular Symmetric Flavor Models,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.587256Z"},"links":{"cited_paper":"/paper/2011.09154","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:e5da4214131a80a6895afbe0c7cbe941807ca8597416348dbf5b593de33ca65f","observation_id":"9356329d-83b8-4193-815f-fd82e5226cf7","resolution":{"observed_at":"2026-08-15T20:32:23.587256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.04313","last_updated":"2022-09-12T02:01:48Z","snapshot_observed_at":"2026-08-16T00:25:42.309472Z","submitted_at":"2022-06-09T07:17:04Z","title":"Residual flavor symmetry breaking in the landscape of modular flavor models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.04313","snapshot_observed_at":"2026-08-15T20:32:23.591869Z","title":"Residual flavor symmetry breaking in the landscape of modular flavor models,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.591869Z"},"links":{"cited_paper":"/paper/2206.04313","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:eca51472f707fc5a81b8daf59d66df0cc1def3d11725bbfb9b4baab922384cc8","observation_id":"ebca4d21-7dea-4e8c-9ba1-ee6eae1cdad2","resolution":{"observed_at":"2026-08-15T20:32:23.591869Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.14437","last_updated":"2023-04-27T18:00:08Z","snapshot_observed_at":"2026-08-16T10:38:14.937669Z","submitted_at":"2023-04-27T18:00:08Z","title":"Matter matters in moduli fixing and modular flavor symmetries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.14437","snapshot_observed_at":"2026-08-15T20:32:23.597567Z","title":"Matter matters in moduli fixing and modular flavor symmetries,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.597567Z"},"links":{"cited_paper":"/paper/2304.14437","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:27e685bb24145eeec5257795e7002a5cb35f9e5161753c9dac647a600ca0536c","observation_id":"e8702ebb-52d0-4856-9891-dfe1513adb5f","resolution":{"observed_at":"2026-08-15T20:32:23.597567Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0403001","last_updated":"2004-04-19T17:50:19Z","snapshot_observed_at":"2026-08-09T08:04:40.311711Z","submitted_at":"2004-03-01T20:28:01Z","title":"Beauty is Attractive: Moduli Trapping at Enhanced Symmetry Points","version":2},"cited_work":{"arxiv_id":"hep-th/0403001","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0403001","snapshot_observed_at":"2026-08-15T20:32:23.750931Z","title":"Beauty is Attractive: Moduli Trapping at Enhanced Symmetry Points","venue":"hep-th","work_id":"73eddd1c-5474-4f40-8ac2-ba5b24cd936f","year":2004},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.605140Z"},"links":{"cited_paper":"/paper/hep-th/0403001","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:48f9c94bceb9188bd9c7f4d38f0cd518f0573e6677a83f3a60f304e0ad05bf89","observation_id":"16a9ebfa-2e89-4775-86f8-f6bb8dd5b49d","resolution":{"observed_at":"2026-08-15T20:32:23.759070Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1310.4751","last_updated":"2014-01-29T02:09:12Z","snapshot_observed_at":"2026-08-14T23:58:36.961104Z","submitted_at":"2013-10-17T15:37:36Z","title":"Beauty is more attractive: Particle Production and Moduli trapping with Higher Dimensional Interaction","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.4751","snapshot_observed_at":"2026-08-15T20:32:23.610330Z","title":"Beauty is more attractive: particle production and moduli trapping with higher dimensional interaction,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.610330Z"},"links":{"cited_paper":"/paper/1310.4751","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:afb8aea85168540def4beea67a9e14e377732828dd4fb15f4abe7672f7db3f30","observation_id":"299671a4-f621-4065-b01e-898ad738f866","resolution":{"observed_at":"2026-08-15T20:32:23.610330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.13230","last_updated":"2023-07-25T03:42:09Z","snapshot_observed_at":"2026-08-16T15:13:34.980300Z","submitted_at":"2023-07-25T03:42:09Z","title":"Moduli trapping mechanism in modular flavor symmetric models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.13230","snapshot_observed_at":"2026-08-15T20:32:23.615389Z","title":"Moduli trapping mechanism in modular flavor symmetric models,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.615389Z"},"links":{"cited_paper":"/paper/2307.13230","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:34680ec736a26421faa97fa72d73fc58a38efda7a862227d2ffb4a632b109d31","observation_id":"b2f39021-2eb0-4a9c-a3d6-282331ca8abd","resolution":{"observed_at":"2026-08-15T20:32:23.615389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.15604","last_updated":"2023-12-21T10:15:30Z","snapshot_observed_at":"2026-08-16T14:49:27.130466Z","submitted_at":"2023-10-24T08:17:47Z","title":"Radiative correction on moduli stabilization in modular flavor symmetric models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.15604","snapshot_observed_at":"2026-08-15T20:32:23.620437Z","title":"Radiative correction on moduli stabilization in modular flavor symmetric models,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.620437Z"},"links":{"cited_paper":"/paper/2310.15604","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:c4946097a4af6113b44bb6f279154de498d9d7e29b6805cab5cf910f9b7981c4","observation_id":"04f2884a-e88a-48fc-8046-ee745ade99fe","resolution":{"observed_at":"2026-08-15T20:32:23.620437Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.08316","last_updated":"2025-01-14T02:24:36Z","snapshot_observed_at":"2026-08-16T13:52:57.113136Z","submitted_at":"2024-05-14T04:49:05Z","title":"Moduli stabilization in finite modular symmetric models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.08316","snapshot_observed_at":"2026-08-15T20:32:23.625472Z","title":"Modulus Stabilization in Finite Modular Symmetric Models,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-15T20:32:23.625472Z"},"links":{"cited_paper":"/paper/2405.08316","citing_paper":"/paper/2505.12916"},"observation_digest":"sha256:4c15803047c1029888944286786349d69fa6f68b981aeb79635897a4d659000f","observation_id":"d9cc379f-cf10-4010-a07e-cf2b7eb2099c","resolution":{"observed_at":"2026-08-15T20:32:23.625472Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.12916","last_updated":"2025-05-19T09:52:55Z","latest_version":1,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-16T10:24:48.591414Z","submitted_at":"2025-05-19T09:52:55Z","title":"Modular Symmetry with Weighton"},"reference_resolution":{"displayed":70,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":3,"verified_fuzzy":3},"total_outbound_references":70},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 2 inbound Pith citation observations for arXiv:2505.12916."}