{"as_of":"2026-08-04T10:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cb5cc7b2aff33c0247fea4d9fef1aea3ea268943eef247f79f8f91d5c484a8a0","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:11:31.740381Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T11:26:34.913484Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-06-29T12:53:27.350630Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"cited_work":{"arxiv_id":"2510.17156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.17156","snapshot_observed_at":"2026-06-29T12:53:27.350630Z","title":"Nomura, H","venue":"hep-ph","work_id":"d3dc8bc0-b4f8-451d-b515-2b6723bccb0a","year":2025},"citing_paper":{"arxiv_id":"2604.04423","last_updated":"2026-04-06T05:02:37Z","snapshot_observed_at":"2026-08-02T21:35:50.768221Z","submitted_at":"2026-04-06T05:02:37Z","title":"Dynamical CP Violation from Non-Invertible Selection Rules","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T19:53:38.648044Z"},"links":{"cited_paper":"/paper/2510.17156","citing_paper":"/paper/2604.04423"},"observation_digest":"sha256:2554c3ef8fbfb31109a70ba46a604cb110360cfabf0023cf33810bda180ff596","observation_id":"a16e1fce-a11c-4102-9219-351528c0c967","resolution":{"observed_at":"2026-06-19T17:10:44.814704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"cited_work":{"arxiv_id":"2510.17156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.17156","snapshot_observed_at":"2026-06-29T12:53:27.350630Z","title":"Nomura, H","venue":"hep-ph","work_id":"d3dc8bc0-b4f8-451d-b515-2b6723bccb0a","year":2025},"citing_paper":{"arxiv_id":"2604.09345","last_updated":"2026-04-10T14:17:02Z","snapshot_observed_at":"2026-08-03T03:40:05.606569Z","submitted_at":"2026-04-10T14:17:02Z","title":"A General Prescription for Spurion Analysis of Non-Invertible Selection Rules","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-10T17:24:03.346127Z"},"links":{"cited_paper":"/paper/2510.17156","citing_paper":"/paper/2604.09345"},"observation_digest":"sha256:c7a1c894e5afc4b3c9f19c9bd831ef1dda7dc9babfd65b12769b812a1575b470","observation_id":"bcf50fa7-ecce-42bd-852c-9e46f333994c","resolution":{"observed_at":"2026-06-19T17:10:44.814704Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"cited_work":{"arxiv_id":"2510.17156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.17156","snapshot_observed_at":"2026-06-29T12:53:27.350630Z","title":"Nomura, H","venue":"hep-ph","work_id":"d3dc8bc0-b4f8-451d-b515-2b6723bccb0a","year":2025},"citing_paper":{"arxiv_id":"2604.11308","last_updated":"2026-04-13T11:08:34Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-04-13T11:08:34Z","title":"Dirac one-loop seesaw in a non-invertible fusion rule","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-05-10T16:32:37.745450Z"},"links":{"cited_paper":"/paper/2510.17156","citing_paper":"/paper/2604.11308"},"observation_digest":"sha256:d5b324ea3fb4a654ef54e4c22a40306af8d3a3ccbad382b1a8f1e70e13f2f5d4","observation_id":"425a89b8-de6f-4360-b409-9a28124f22a9","resolution":{"observed_at":"2026-06-19T17:10:44.814704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"cited_work":{"arxiv_id":"2510.17156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.17156","snapshot_observed_at":"2026-06-29T12:53:27.350630Z","title":"Nomura, H","venue":"hep-ph","work_id":"d3dc8bc0-b4f8-451d-b515-2b6723bccb0a","year":2025},"citing_paper":{"arxiv_id":"2604.27612","last_updated":"2026-04-30T09:04:01Z","snapshot_observed_at":"2026-07-06T23:13:02.921765Z","submitted_at":"2026-04-30T09:04:01Z","title":"A theoretical account of tiny multi-Higgs vacuum expectation values from non-invertible symmetry","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-07T05:55:49.767820Z"},"links":{"cited_paper":"/paper/2510.17156","citing_paper":"/paper/2604.27612"},"observation_digest":"sha256:cd5d5e00c0bf0385c8418df66307fcffbac967c4705a759e13990b12b7b52e18","observation_id":"6dbf3127-f19b-42be-a444-a326de43738c","resolution":{"observed_at":"2026-06-19T17:10:44.814704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"cited_work":{"arxiv_id":"2510.17156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.17156","snapshot_observed_at":"2026-06-29T12:53:27.350630Z","title":"Nomura, H","venue":"hep-ph","work_id":"d3dc8bc0-b4f8-451d-b515-2b6723bccb0a","year":2025},"citing_paper":{"arxiv_id":"2605.23202","last_updated":"2026-05-22T03:36:44Z","snapshot_observed_at":"2026-07-06T23:33:24.215365Z","submitted_at":"2026-05-22T03:36:44Z","title":"Zee models with a non-invertible $Z_M$ symmetry","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-25T04:32:47.321869Z"},"links":{"cited_paper":"/paper/2510.17156","citing_paper":"/paper/2605.23202"},"observation_digest":"sha256:ef86fec5aadd073284707422a21d39bd1ae3a7275889157aaf71270b40780010","observation_id":"e626445a-e744-4d47-9864-786127706a18","resolution":{"observed_at":"2026-06-19T17:10:44.814704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"cited_work":{"arxiv_id":"2510.17156","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.17156","snapshot_observed_at":"2026-06-29T12:53:27.350630Z","title":"Nomura, H","venue":"hep-ph","work_id":"d3dc8bc0-b4f8-451d-b515-2b6723bccb0a","year":2025},"citing_paper":{"arxiv_id":"2605.28141","last_updated":"2026-05-27T08:24:04Z","snapshot_observed_at":"2026-07-06T23:37:45.223562Z","submitted_at":"2026-05-27T08:24:04Z","title":"More about modular symmetries and non-invertible properties in magnetized compactifications","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-29T11:26:34.913484Z"},"links":{"cited_paper":"/paper/2510.17156","citing_paper":"/paper/2605.28141"},"observation_digest":"sha256:2a4872a665f8c06e2932e9f0d163d66a04f56c80142574a7e0ed909a59878061","observation_id":"b72a6bbd-4a5d-4d0a-b545-b31fc1da2436","resolution":{"observed_at":"2026-06-29T12:53:27.351910Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2510.17156/citation-record","integrity":"/paper/2510.17156/integrity","json":"/paper/2510.17156/citation-record.json","paper":"/paper/2510.17156"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:11:27.083829Z","title":"Jiang, B.-Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.083829Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:1a4f4c56033753943a75c3772e3da53738438d6958d2405eea2cb2c5e0ad4814","observation_id":"b96ef209-6247-45e9-97b9-48c3568b27f7","resolution":{"observed_at":"2026-08-04T09:11:27.083829Z","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":"2026-08-04T09:11:27.162603Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.162603Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:d1122d03630b53fb3cb35ceb4d3e2a04acd6126713846e2f6f91837b31385fbb","observation_id":"6ad8240e-8a79-43ae-9336-328c7f17aaac","resolution":{"observed_at":"2026-08-04T09:11:27.162603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.16174","last_updated":"2025-08-22T07:51:19Z","snapshot_observed_at":"2026-07-06T22:16:34.442202Z","submitted_at":"2025-08-22T07:51:19Z","title":"A natural realization of inverse seesaw model in a non-invertible selection rule","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.16174","snapshot_observed_at":"2026-08-04T09:11:27.248599Z","title":"Jangid and H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.248599Z"},"links":{"cited_paper":"/paper/2508.16174","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:e24616c54b918f88773061942aec4bd619d31df04d80ffedc300da591ba9fa45","observation_id":"a22fa030-a559-4dc7-9d00-dcc3b27469e9","resolution":{"observed_at":"2026-08-04T09:11:27.248599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.16198","last_updated":"2025-07-22T03:19:16Z","snapshot_observed_at":"2026-07-06T22:00:47.930692Z","submitted_at":"2025-07-22T03:19:16Z","title":"Three-loop induced neutrino mass model in a non-invertible symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.16198","snapshot_observed_at":"2026-08-04T09:11:27.294420Z","title":"Okada and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.294420Z"},"links":{"cited_paper":"/paper/2507.16198","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:c187776e17559d16ea32cd72c0dee35dba12654d21da83d2e5dfa82c931e0d9b","observation_id":"8910b1c8-6af4-46f2-a391-5caf73f42ed8","resolution":{"observed_at":"2026-08-04T09:11:27.294420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.05086","last_updated":"2022-06-02T17:46:11Z","snapshot_observed_at":"2026-07-06T13:08:38.144581Z","submitted_at":"2022-05-10T18:00:00Z","title":"Non-invertible Global Symmetries in the Standard Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.05086","snapshot_observed_at":"2026-08-04T09:11:27.404426Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.404426Z"},"links":{"cited_paper":"/paper/2205.05086","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:154414ca7c0d8fac05438bbc8eed97b9a47423d736a65da08a04ab99761b0686","observation_id":"9cc31ee0-8439-4916-b0f0-2bb7ebd7d3cc","resolution":{"observed_at":"2026-08-04T09:11:27.404426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.07639","last_updated":"2022-11-14T18:59:59Z","snapshot_observed_at":"2026-07-06T14:18:10.647862Z","submitted_at":"2022-11-14T18:59:59Z","title":"Neutrino Masses from Generalized Symmetry Breaking","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.07639","snapshot_observed_at":"2026-08-04T09:11:27.460277Z","title":"Cordova, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.460277Z"},"links":{"cited_paper":"/paper/2211.07639","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:51c1203ac4f6978c354c3160e7b28a1a8f46a048679943a16ba4548ee20eaf82","observation_id":"86fbd637-96b7-44dc-92c1-b56a1a7f6ccf","resolution":{"observed_at":"2026-08-04T09:11:27.460277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.06243","last_updated":"2022-08-03T06:03:29Z","snapshot_observed_at":"2026-08-04T08:10:32.073550Z","submitted_at":"2022-05-12T17:43:52Z","title":"Non-Invertible Chiral Symmetry and Exponential Hierarchies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.06243","snapshot_observed_at":"2026-08-04T09:11:27.532112Z","title":"Cordova and K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.532112Z"},"links":{"cited_paper":"/paper/2205.06243","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:0d53dff297551dd6d1f949727862e8bba0e8b4a31acdba1a6641b50694736b2e","observation_id":"5462a033-81d9-4c09-8a55-e04200d1c836","resolution":{"observed_at":"2026-08-04T09:11:27.532112Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.12453","last_updated":"2024-02-19T19:02:06Z","snapshot_observed_at":"2026-07-06T17:32:28.211114Z","submitted_at":"2024-02-19T19:02:06Z","title":"Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.12453","snapshot_observed_at":"2026-08-04T09:11:27.653880Z","title":"Cordova, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.653880Z"},"links":{"cited_paper":"/paper/2402.12453","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:2e02066782ee88a096e2deb60dbca7eebe1e149c250170e0f8a33efb5b01fdd0","observation_id":"f3af9c40-3848-4bde-8425-4e5834d5ceea","resolution":{"observed_at":"2026-08-04T09:11:27.653880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.05270","last_updated":"2024-09-09T01:42:12Z","snapshot_observed_at":"2026-07-06T19:12:15.383132Z","submitted_at":"2024-09-09T01:42:12Z","title":"Yukawa textures from non-invertible symmetries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.05270","snapshot_observed_at":"2026-08-04T09:11:27.776852Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.776852Z"},"links":{"cited_paper":"/paper/2409.05270","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:a243e6c7118691d9738a2afd8727a28c8777303774516aa01728da71588ec492","observation_id":"e06ad605-e66e-4549-850f-039c776615a9","resolution":{"observed_at":"2026-08-04T09:11:27.776852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.13984","last_updated":"2024-11-26T05:29:17Z","snapshot_observed_at":"2026-07-06T19:05:49.062452Z","submitted_at":"2024-08-26T02:34:40Z","title":"Non-invertible flavor symmetries in magnetized extra dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.13984","snapshot_observed_at":"2026-08-04T09:11:27.913503Z","title":"Kobayashi and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:27.913503Z"},"links":{"cited_paper":"/paper/2408.13984","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:2bf58e279356490fe7fbd5515095ff84cc63a2fe0e90f4b622637077bdb6aea8","observation_id":"7e40885c-313e-419a-ba3b-0f9299e8b67a","resolution":{"observed_at":"2026-08-04T09:11:27.913503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09966","last_updated":"2025-05-24T03:36:20Z","snapshot_observed_at":"2026-07-06T20:51:41.582791Z","submitted_at":"2025-03-13T02:12:48Z","title":"More about quark Yukawa textures from selection rules without group actions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.09966","snapshot_observed_at":"2026-08-04T09:11:28.008020Z","title":"Kobayashi, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.008020Z"},"links":{"cited_paper":"/paper/2503.09966","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:8cef061c264bd7ad46cf78b0b2d331b46c8f062b81853be63422ec00d0b5f3fa","observation_id":"20182a2d-179d-4f3a-b143-d587468fd8f2","resolution":{"observed_at":"2026-08-04T09:11:28.008020Z","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":"2026-08-04T09:11:28.093498Z","title":"Suzuki and L.-X","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.093498Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:6821e5200e3c88fa34e5a79065af11e3e4fcdc1bef9ed0bb67c243d548d0ccc6","observation_id":"016bf785-6be8-4485-a080-fa47c7ebc42c","resolution":{"observed_at":"2026-08-04T09:11:28.093498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.05142","last_updated":"2025-05-08T11:26:35Z","snapshot_observed_at":"2026-07-06T21:20:51.204774Z","submitted_at":"2025-05-08T11:26:35Z","title":"Non-invertible symmetry as an axion-less solution to the strong CP problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.05142","snapshot_observed_at":"2026-08-04T09:11:28.248518Z","title":"Liang and T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.248518Z"},"links":{"cited_paper":"/paper/2505.05142","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:54100bdd8c636b082cea0508119a349ea567768f8d96660fbd431a4513ce7aa5","observation_id":"f458fce6-ce72-47b7-a5c2-1607483683db","resolution":{"observed_at":"2026-08-04T09:11:28.248518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.07262","last_updated":"2025-08-27T04:31:29Z","snapshot_observed_at":"2026-07-06T21:22:21.577606Z","submitted_at":"2025-05-12T06:23:05Z","title":"Lepton mass textures from non-invertible multiplication rules","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.07262","snapshot_observed_at":"2026-08-04T09:11:28.443076Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.443076Z"},"links":{"cited_paper":"/paper/2505.07262","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:59a4415477acee92b97c4cf1d7a33c53501c243d83b9b2fe6235ec658c8e03fe","observation_id":"ba86b591-a81b-4931-9111-f6ad1c65eb57","resolution":{"observed_at":"2026-08-04T09:11:28.443076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.10241","last_updated":"2025-06-11T23:49:04Z","snapshot_observed_at":"2026-08-04T02:58:51.298730Z","submitted_at":"2025-06-11T23:49:04Z","title":"Matter symmetries in supersymmetric standard models from non-invertible selection rules","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.10241","snapshot_observed_at":"2026-08-04T09:11:28.550744Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.550744Z"},"links":{"cited_paper":"/paper/2506.10241","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:e5a46ac98f6b2c2b706d4d61292f86c689dd97840ace75f70c1dd3294d3d2891","observation_id":"87b3ad87-f2f0-4959-a659-83eccf6035dc","resolution":{"observed_at":"2026-08-04T09:11:28.550744Z","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":"2026-08-04T09:11:28.688598Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.688598Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:5bee6c2fd61eaac0bb2798798aa75b56571482a60bf0446c0124a7f1253ad5e9","observation_id":"84f564eb-7e7c-4957-9a90-8796a1e1fe7f","resolution":{"observed_at":"2026-08-04T09:11:28.688598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16706","last_updated":"2025-06-20T02:55:18Z","snapshot_observed_at":"2026-07-06T21:45:02.192166Z","submitted_at":"2025-06-20T02:55:18Z","title":"Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.16706","snapshot_observed_at":"2026-08-04T09:11:28.762498Z","title":"Nomura and H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.762498Z"},"links":{"cited_paper":"/paper/2506.16706","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:e4334e45c75c13acbc3ce17fb56420910a822b4277ed06a8cf28bb66585d2553","observation_id":"75ce539c-6132-49bf-9540-f2135d9589ed","resolution":{"observed_at":"2026-08-04T09:11:28.762498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02375","last_updated":"2025-07-03T07:15:03Z","snapshot_observed_at":"2026-07-06T21:51:33.687556Z","submitted_at":"2025-07-03T07:15:03Z","title":"On discrete gauging and non-invertible selection rules","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.02375","snapshot_observed_at":"2026-08-04T09:11:28.833215Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.833215Z"},"links":{"cited_paper":"/paper/2507.02375","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:18b4f4b8518e040429582e6a42788db9f7f03e254bff8ca46af318b4cdceb923","observation_id":"177a0076-18eb-49b7-95a4-6dab7aeb42dc","resolution":{"observed_at":"2026-08-04T09:11:28.833215Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.10299","last_updated":"2025-07-14T14:03:54Z","snapshot_observed_at":"2026-08-02T09:11:05.867532Z","submitted_at":"2025-07-14T14:03:54Z","title":"No-group Scotogenic Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.10299","snapshot_observed_at":"2026-08-04T09:11:28.919953Z","title":"Nomura and O","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.919953Z"},"links":{"cited_paper":"/paper/2507.10299","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:9e48a69295c415b2a7ebd35c7c900ea15f7c853ab6700a96b619979a6f2a3b59","observation_id":"d7bb5413-c40b-46ae-853b-7d156e470f57","resolution":{"observed_at":"2026-08-04T09:11:28.919953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.11951","last_updated":"2025-07-16T06:35:07Z","snapshot_observed_at":"2026-07-06T21:57:55.359689Z","submitted_at":"2025-07-16T06:35:07Z","title":"A radiative lepton model in a non-invertible fusion rule","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.11951","snapshot_observed_at":"2026-08-04T09:11:28.983226Z","title":"Chen, C.-Q","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:28.983226Z"},"links":{"cited_paper":"/paper/2507.11951","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:05b9aeea83f0342bd41c91b415998f0cf7add5cc088c25ce7613e6d069219878","observation_id":"9c3a9ddd-6c8f-491d-af6f-905e129f0934","resolution":{"observed_at":"2026-08-04T09:11:28.983226Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.12287","last_updated":"2025-08-17T08:34:18Z","snapshot_observed_at":"2026-07-06T22:14:01.538942Z","submitted_at":"2025-08-17T08:34:18Z","title":"Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.12287","snapshot_observed_at":"2026-08-04T09:11:29.033713Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.033713Z"},"links":{"cited_paper":"/paper/2508.12287","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:8de9aa0d257069da7363d5625dd4a297e9bcee29290dd95224c1d395d5d763ce","observation_id":"0b506092-18a8-4a5d-80d1-eb3f978386f8","resolution":{"observed_at":"2026-08-04T09:11:29.033713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.14970","last_updated":"2026-04-23T09:45:55Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-08-20T18:00:03Z","title":"Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.14970","snapshot_observed_at":"2026-08-04T09:11:29.093720Z","title":"Suzuki, L.-X","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.093720Z"},"links":{"cited_paper":"/paper/2508.14970","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:f1857c4725bd63eadac439a660d37229d025a6386953d2020e37458413552918","observation_id":"fd36df16-f234-4378-b0aa-93855eea2f35","resolution":{"observed_at":"2026-08-04T09:11:29.093720Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.0211","last_updated":"2010-06-22T12:39:16Z","snapshot_observed_at":"2026-07-06T02:02:48.064016Z","submitted_at":"2010-02-01T09:51:18Z","title":"Discrete Flavor Symmetries and Models of Neutrino Mixing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1002.0211","snapshot_observed_at":"2026-08-04T09:11:29.192277Z","title":"Altarelli and F","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.192277Z"},"links":{"cited_paper":"/paper/1002.0211","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:0b1b7c0a22a0e86b1aff0b50fa6900b9232dbbf265f93a70896f02ce86f4776f","observation_id":"483a8179-ebcb-4dc2-9695-4aec6d37dd14","resolution":{"observed_at":"2026-08-04T09:11:29.192277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1003.3552","last_updated":"2010-04-15T10:15:40Z","snapshot_observed_at":"2026-07-06T02:04:39.697629Z","submitted_at":"2010-03-18T11:30:06Z","title":"Non-Abelian Discrete Symmetries in Particle Physics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1003.3552","snapshot_observed_at":"2026-08-04T09:11:29.270485Z","title":"Ishimori, T","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.270485Z"},"links":{"cited_paper":"/paper/1003.3552","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:2330011ded499aa77239d803a31f0fe5421836e524466ec85e46cd391c16d64c","observation_id":"8c92406a-d250-462a-99f1-3931bbdaf337","resolution":{"observed_at":"2026-08-04T09:11:29.270485Z","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":"2026-08-04T09:11:29.465507Z","title":"Kobayashi, H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.465507Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:6811808fce309285b8763458f5b4279004e1aee16a7b9dbcc0188efd242ccd9b","observation_id":"839d8343-7638-4fa5-9b3a-0be05bbbd6a6","resolution":{"observed_at":"2026-08-04T09:11:29.465507Z","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":"2026-08-04T09:11:29.557398Z","title":"Ishimori, T","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.557398Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:a22030613d8803b153b226b6c62e18ba9dbbbf5f7fcfdd60adf895c121b85ebb","observation_id":"91ea7ba6-4b12-4c8a-9a7a-8e0f54513250","resolution":{"observed_at":"2026-08-04T09:11:29.557398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0601225","last_updated":"2006-01-27T09:10:30Z","snapshot_observed_at":"2026-07-07T04:10:02.424577Z","submitted_at":"2006-01-27T09:10:30Z","title":"Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0601225","snapshot_observed_at":"2026-08-04T09:11:29.670376Z","title":"Ma, Phys","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.670376Z"},"links":{"cited_paper":"/paper/hep-ph/0601225","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:4f4acb22b098e9b5531039e22762da762d6dca14286da106866b3d0258199de8","observation_id":"7b4e048f-1f08-4fcb-9715-f2a38a87e37a","resolution":{"observed_at":"2026-08-04T09:11:29.670376Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.02891","last_updated":"2023-02-28T04:24:04Z","snapshot_observed_at":"2026-07-06T14:27:18.658617Z","submitted_at":"2022-12-06T11:29:45Z","title":"A Large Muon EDM from Dark Matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.02891","snapshot_observed_at":"2026-08-04T09:11:29.761425Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.761425Z"},"links":{"cited_paper":"/paper/2212.02891","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:d1f720f66bb55b717082216217722b12b961ec8d81ecdd718c1598090f2eb03b","observation_id":"17436d97-a461-478e-a515-874a9dd15537","resolution":{"observed_at":"2026-08-04T09:11:29.761425Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1311.4360","last_updated":"2014-03-01T15:16:47Z","snapshot_observed_at":"2026-07-06T03:28:28.670854Z","submitted_at":"2013-11-18T12:58:28Z","title":"Radiative Generation of the Lepton Mass","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1311.4360","snapshot_observed_at":"2026-08-04T09:11:29.877127Z","title":"Okada and K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.877127Z"},"links":{"cited_paper":"/paper/1311.4360","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:91e99e14f44557156e21ca82a404cb847e5cf4255ee5a762d81297c401298743","observation_id":"6fe0e434-ecdf-401c-a2af-41e7a0e9ad37","resolution":{"observed_at":"2026-08-04T09:11:29.877127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1405.2368","last_updated":"2014-05-09T23:20:47Z","snapshot_observed_at":"2026-07-06T03:43:18.054935Z","submitted_at":"2014-05-09T23:20:47Z","title":"Radiative Generation of Lepton Masses with the $U(1)'$ Gauge Symmetry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1405.2368","snapshot_observed_at":"2026-08-04T09:11:29.979778Z","title":"Okada and K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:29.979778Z"},"links":{"cited_paper":"/paper/1405.2368","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:a75fc28508951f09efe9d6b49f8ac91652aa830be3bd085603c3dd3cdd27b055","observation_id":"84f7d15e-3de0-459b-ab58-003f9362e9d6","resolution":{"observed_at":"2026-08-04T09:11:29.979778Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1206.1966","last_updated":"2012-09-14T01:04:31Z","snapshot_observed_at":"2026-07-06T02:49:39.446850Z","submitted_at":"2012-06-09T19:36:15Z","title":"Neutrino masses in a 331 model with right-handed neutrinos without doubly charged Higgs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1206.1966","snapshot_observed_at":"2026-08-04T09:11:30.068934Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.068934Z"},"links":{"cited_paper":"/paper/1206.1966","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:23ff9853807f173615cb24ac97e06ecec44500e243e2319ddb5cf0799820f8f3","observation_id":"a127db22-478c-425c-97d3-a4669ab12cbf","resolution":{"observed_at":"2026-08-04T09:11:30.068934Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1210.2305","last_updated":"2013-03-19T14:44:03Z","snapshot_observed_at":"2026-07-06T02:57:12.216583Z","submitted_at":"2012-10-08T15:20:02Z","title":"Light Dark Matter Candidate in B-L Gauged Radiative Inverse Seesaw","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.2305","snapshot_observed_at":"2026-08-04T09:11:30.150091Z","title":"Kajiyama, H","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.150091Z"},"links":{"cited_paper":"/paper/1210.2305","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:46a7e13c2f16dd200e5defd6719e07eed3268fe8485b35b197f9a95175e87f98","observation_id":"14df7eca-9074-4c9b-ab53-ba43d36e3293","resolution":{"observed_at":"2026-08-04T09:11:30.150091Z","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":"2026-08-04T09:11:30.217825Z","title":"Abe et al","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.217825Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:05d4c64799305d558c6560d09a924b5326606f5d263734ab6eb9bde33b1d4d72","observation_id":"58117fd8-6cce-493d-aee1-838c8c1ddc23","resolution":{"observed_at":"2026-08-04T09:11:30.217825Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.08172","last_updated":"2017-11-15T16:14:42Z","snapshot_observed_at":"2026-07-06T05:27:51.312714Z","submitted_at":"2017-01-27T19:08:47Z","title":"Unveiling $\\nu$ secrets with cosmological data: neutrino masses and mass hierarchy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.08172","snapshot_observed_at":"2026-08-04T09:11:30.275885Z","title":"Vagnozzi, E","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.275885Z"},"links":{"cited_paper":"/paper/1701.08172","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:c15d05a44327831a1e2f2e660fb22d67392ff0700d5b2bfac60b3d621affe149","observation_id":"42f8043c-2a80-4e44-937c-6b855f151f82","resolution":{"observed_at":"2026-08-04T09:11:30.275885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06209","last_updated":"2021-08-09T10:43:18Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-07-17T04:05:07Z","title":"Planck 2018 results. VI. Cosmological parameters","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.06209","snapshot_observed_at":"2026-08-04T09:11:30.365471Z","title":"Aghanim et al","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.365471Z"},"links":{"cited_paper":"/paper/1807.06209","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:ab0e3b866d9e32c9d629e1d8f7341cb02b52c3ca50ffcf8994d83d3c098be899","observation_id":"28e483cd-6969-46d7-92ae-52249dd146c2","resolution":{"observed_at":"2026-08-04T09:11:30.365471Z","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":"2026-08-04T09:11:30.460376Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.460376Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:89d032fce2d62090dc832b5967c9624d370cd5924842abf1e1227fac2855e0c1","observation_id":"7e9675ef-193f-4769-a708-56c35f130add","resolution":{"observed_at":"2026-08-04T09:11:30.460376Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.03002","last_updated":"2024-11-04T16:43:36Z","snapshot_observed_at":"2026-07-06T17:55:21.083912Z","submitted_at":"2024-04-03T18:41:51Z","title":"DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03002","snapshot_observed_at":"2026-08-04T09:11:30.531156Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.531156Z"},"links":{"cited_paper":"/paper/2404.03002","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:60ef0876053b74aac3b94d5b4f78e63e40b9f4027faf8223f83713b01800e054","observation_id":"814d954e-ff5d-4d71-a2e6-eb726f82bcc2","resolution":{"observed_at":"2026-08-04T09:11:30.531156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.08533","last_updated":"2021-05-18T14:02:36Z","snapshot_observed_at":"2026-07-06T11:10:30.405479Z","submitted_at":"2021-05-18T14:02:36Z","title":"First direct neutrino-mass measurement with sub-eV sensitivity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.08533","snapshot_observed_at":"2026-08-04T09:11:30.573419Z","title":"Aker et al","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.573419Z"},"links":{"cited_paper":"/paper/2105.08533","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:8d2cfdc9d28c9a38441dec1ef48cc3b057e5404f452b4aeb80e2c00c3f3a66ac","observation_id":"cede776f-de85-4111-ba16-f025a2922f2b","resolution":{"observed_at":"2026-08-04T09:11:30.573419Z","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":"2026-07-06T19:29:18.770662Z","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":"2026-08-04T09:11:30.624849Z","title":"Esteban, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.624849Z"},"links":{"cited_paper":"/paper/2410.05380","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:94e40788656f02a1bf1a50d4aa722ac60263db242f303a98f7cf32a872713ba2","observation_id":"a1676fcb-bd35-4185-ac7d-7681b04956b2","resolution":{"observed_at":"2026-08-04T09:11:30.624849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.05081","last_updated":"2016-07-29T09:39:29Z","snapshot_observed_at":"2026-07-06T04:56:32.524843Z","submitted_at":"2016-05-17T09:52:20Z","title":"Search for the Lepton Flavour Violating Decay $\\mu^{+} \\to e^+ \\gamma$ with the Full Dataset of the MEG Experiment","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.05081","snapshot_observed_at":"2026-08-04T09:11:30.716270Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.716270Z"},"links":{"cited_paper":"/paper/1605.05081","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:b907aebcfb81e64ddd0f51cbab6c226ad85ece847bcc6f0d56f6d749f02b4f4e","observation_id":"8a013c96-5ae4-4577-9c96-0a0463018357","resolution":{"observed_at":"2026-08-04T09:11:30.716270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0908.2381","last_updated":"2010-01-25T17:08:20Z","snapshot_observed_at":"2026-07-06T02:00:37.399439Z","submitted_at":"2009-08-17T16:42:00Z","title":"Searches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0908.2381","snapshot_observed_at":"2026-08-04T09:11:30.772471Z","title":"Aubert et al","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.772471Z"},"links":{"cited_paper":"/paper/0908.2381","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:c8be87f8787824542819016c2918d0304c1de0648ee0b72f752dfd9baf5aa89e","observation_id":"0a388a9e-a0f4-44ff-943f-d1465ac04fcf","resolution":{"observed_at":"2026-08-04T09:11:30.772471Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.05921","last_updated":"2018-11-14T17:41:36Z","snapshot_observed_at":"2026-07-06T07:14:44.317338Z","submitted_at":"2018-11-14T17:41:36Z","title":"The quest for $\\mu \\to e \\gamma$: present and future","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.05921","snapshot_observed_at":"2026-08-04T09:11:30.841139Z","title":"Renga (MEG), Hyperfine Interact.239, 58 (2018), 1811.05921","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.841139Z"},"links":{"cited_paper":"/paper/1811.05921","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:304a8fe523d91afbfa347c700c0e27703908e8db305a6c61e945150f604e8f25","observation_id":"f2b12660-2f82-49e8-bc78-e2447bddbad7","resolution":{"observed_at":"2026-08-04T09:11:30.841139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12614","last_updated":"2024-01-07T21:38:11Z","snapshot_observed_at":"2026-07-06T16:35:31.876632Z","submitted_at":"2023-10-19T09:45:30Z","title":"A search for $\\mu^+\\to e^+\\gamma$ with the first dataset of the MEG II experiment","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12614","snapshot_observed_at":"2026-08-04T09:11:30.983896Z","title":"Afanaciev et al","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:30.983896Z"},"links":{"cited_paper":"/paper/2310.12614","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:28c12bc40881e841e91d53ef543dca5f1215ffe8e72bc24739746208f94ac59e","observation_id":"dab56e66-1b50-49f8-a89b-d30c516465ca","resolution":{"observed_at":"2026-08-04T09:11:30.983896Z","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":"2026-08-04T09:11:31.058071Z","title":"Fan, Ph.D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.058071Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:0cd6a0a94d30247082e8e726d5066bacdf5e3c07003a1a00cfa6658e95465e85","observation_id":"aae17216-299a-4c9d-ad24-b4b0289b9fb3","resolution":{"observed_at":"2026-08-04T09:11:31.058071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.13084","last_updated":"2022-12-07T18:46:19Z","snapshot_observed_at":"2026-07-06T13:56:34.336341Z","submitted_at":"2022-09-27T00:21:05Z","title":"Measurement of the Electron Magnetic Moment","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.13084","snapshot_observed_at":"2026-08-04T09:11:31.184512Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.184512Z"},"links":{"cited_paper":"/paper/2209.13084","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:f68cef9e35ebc92846306f23e6dbe29c3aa2ecff254165d25d16280f3f2a6510","observation_id":"cba94ab4-5ada-4897-8909-5c27eb5597c0","resolution":{"observed_at":"2026-08-04T09:11:31.184512Z","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":"2026-08-04T09:11:31.269556Z","title":"Navas et al","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.269556Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:c9c80771be0c63fbf7bf6d3af45e3906c50d82c1f5f6969e613e1b151d27c3f4","observation_id":"631386ad-7a3f-498d-a18b-70f149b2fbbf","resolution":{"observed_at":"2026-08-04T09:11:31.269556Z","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":"2026-08-04T09:11:31.437345Z","title":"Morel, Z","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.437345Z"},"links":{"citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:adbadf44de7219306c5333ad6e19f01a858893eb8e89a9487d54feb214a6d3d9","observation_id":"1f644962-b22a-4cce-9a2b-63f082c6b8a4","resolution":{"observed_at":"2026-08-04T09:11:31.437345Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.04130","last_updated":"2018-12-12T20:29:30Z","snapshot_observed_at":"2026-07-06T07:20:21.474634Z","submitted_at":"2018-12-10T22:16:32Z","title":"Measurement of the fine-structure constant as a test of the Standard Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.04130","snapshot_observed_at":"2026-08-04T09:11:31.475200Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.475200Z"},"links":{"cited_paper":"/paper/1812.04130","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:dcb1aa29848a619d6bb418b723fee7655e7757ac5d81f9d39458b2ab8057d30b","observation_id":"d4443cbb-89dc-4995-9ffe-3a30780d3434","resolution":{"observed_at":"2026-08-04T09:11:31.475200Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.01648","last_updated":"2024-08-24T08:34:24Z","snapshot_observed_at":"2026-07-06T18:09:04.820856Z","submitted_at":"2024-05-02T18:09:10Z","title":"Electric dipole moments of charged leptons in models with pseudo-Dirac sterile fermions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.01648","snapshot_observed_at":"2026-08-04T09:11:31.537932Z","title":"Abada and T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.537932Z"},"links":{"cited_paper":"/paper/2405.01648","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:c6785f4d35da666858ee0d128ebb4b839c82a062aab8c6e0e80ebbd4c0053a0f","observation_id":"1b191c61-1623-4f51-adba-b3aedea0072c","resolution":{"observed_at":"2026-08-04T09:11:31.537932Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05398","last_updated":"2022-03-26T18:51:53Z","snapshot_observed_at":"2026-07-06T11:37:35.856194Z","submitted_at":"2021-08-11T18:27:27Z","title":"Improved indirect limits on muon EDM","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.05398","snapshot_observed_at":"2026-08-04T09:11:31.605553Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.605553Z"},"links":{"cited_paper":"/paper/2108.05398","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:ae8e434c38730f9ac32140650c15513ecd1df6e82e61e1c010a28214a49b9711","observation_id":"8fa8c75d-4458-4cc7-ada1-7d0a2cc56c62","resolution":{"observed_at":"2026-08-04T09:11:31.605553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.01679","last_updated":"2022-07-04T19:12:12Z","snapshot_observed_at":"2026-07-06T13:27:42.434055Z","submitted_at":"2022-07-04T19:12:12Z","title":"Reevaluation of heavy-fermion-induced electron EDM at three loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.01679","snapshot_observed_at":"2026-08-04T09:11:31.658569Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.658569Z"},"links":{"cited_paper":"/paper/2207.01679","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:9649290925e1e527683dd2def52e90711dcedd8ec1b13c6ee2f0c36739811697","observation_id":"e5da4c9f-4dbb-4562-aaee-56d3cde32130","resolution":{"observed_at":"2026-08-04T09:11:31.658569Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.08409","last_updated":"2021-12-14T09:24:03Z","snapshot_observed_at":"2026-07-06T08:16:07.329220Z","submitted_at":"2019-08-21T08:21:17Z","title":"Neutrino mass model with a modular $S_4$ symmetry","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.08409","snapshot_observed_at":"2026-08-04T09:11:31.740381Z","title":"Okada and Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T09:11:31.740381Z"},"links":{"cited_paper":"/paper/1908.08409","citing_paper":"/paper/2510.17156"},"observation_digest":"sha256:ca0227697de1165193737ffb0a53551aaa20a310d86d28076cddbaf05fcb11e2","observation_id":"8766bc4b-c1ca-486e-8209-45d9cc0592dc","resolution":{"observed_at":"2026-08-04T09:11:31.740381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.17156","last_updated":"2026-06-16T22:51:07Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-04T09:11:26.496777Z","submitted_at":"2025-10-20T04:57:05Z","title":"Radiative lepton model in a non-invertible fusion rule"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":52,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":52},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 6 inbound Pith citation observations for arXiv:2510.17156."}