{"as_of":"2026-08-11T18:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7f1451c587fd9dff2cf2e3f4e699eb4b5a30f8dd825e1333b3585fe2f667c3e6","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:00:48.637329Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-13T02:42:08.881140Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-08-10T23:00:48.637329Z","title":"Meloni and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.00302","last_updated":"2025-06-16T21:04:10Z","snapshot_observed_at":"2026-08-10T22:51:48.794089Z","submitted_at":"2024-12-31T06:36:17Z","title":"Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T23:00:48.637329Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2501.00302"},"observation_digest":"sha256:aa7bf2481933f88f9e3908ee31c0bf1a6d82188d7fedd865d2da27745af15321","observation_id":"e8ccc505-b430-426d-8424-b1217ea42f11","resolution":{"observed_at":"2026-08-10T23:00:48.637329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-08-10T14:04:48.143795Z","title":"Meloni and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.15748","last_updated":"2025-01-27T03:26:09Z","snapshot_observed_at":"2026-08-10T15:47:41.346954Z","submitted_at":"2025-01-27T03:26:09Z","title":"A radiative seesaw in a non-holomorphic modular $S_3$ flavor symmetry","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T14:04:48.143795Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2501.15748"},"observation_digest":"sha256:92555d7fcfe4988fb7c233c4e081e5367137c2b779af003573d8195d16762303","observation_id":"7956480f-e1d3-41ce-ba3f-0e62273fdd1f","resolution":{"observed_at":"2026-08-10T14:04:48.143795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-08-06T21:52:28.612035Z","title":"A simplest modular S 3 model for leptons,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.23343","last_updated":"2025-06-29T17:39:38Z","snapshot_observed_at":"2026-08-10T02:01:06.454693Z","submitted_at":"2025-06-29T17:39:38Z","title":"Modular Flavor Symmetries and Fermion Mass Hierarchies","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T21:52:28.612035Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2506.23343"},"observation_digest":"sha256:207e6fec0c19f785aa8ff62d70bb03113172b1c6a78a0544eb4606d8b010201f","observation_id":"d1b8958e-9e59-4c87-afa7-8e8f160f7336","resolution":{"observed_at":"2026-08-06T21:52:28.612035Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-08-02T20:36:40.706195Z","title":"Meloni and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.23018","last_updated":"2026-07-27T17:47:09Z","snapshot_observed_at":"2026-08-06T01:00:39.771475Z","submitted_at":"2026-02-26T13:55:22Z","title":"A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-02T20:36:40.706195Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2602.23018"},"observation_digest":"sha256:8295d0b4ea7a0a006af5d812e2d17721513405456d89858d643acb7d2b959d86","observation_id":"0b3abcb6-33bf-46d5-8312-fe27a170c605","resolution":{"observed_at":"2026-08-02T20:36:40.706195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":"2306.09028","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A simplest modular S 3 model for leptons","venue":null,"work_id":"654f8489-b310-4c6d-8f6d-d14a0be0c24c","year":2023},"citing_paper":{"arxiv_id":"2604.21979","last_updated":"2026-04-23T18:00:08Z","snapshot_observed_at":"2026-07-06T23:08:28.444591Z","submitted_at":"2026-04-23T18:00:08Z","title":"Quark hierarchies and CP violation from the Siegel modular group","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-05-09T20:54:12.122805Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2604.21979"},"observation_digest":"sha256:084078ba50ac000c1d4b2d4d7f57902b4c75c10bda2da1f765aa9b9d620c7c40","observation_id":"6a2faf38-9c6b-43dc-999a-708792ab1c8b","resolution":{"observed_at":"2026-05-11T14:56:04.692595Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":"2306.09028","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A simplest modular S 3 model for leptons","venue":null,"work_id":"654f8489-b310-4c6d-8f6d-d14a0be0c24c","year":2023},"citing_paper":{"arxiv_id":"2605.11097","last_updated":"2026-05-11T18:03:31Z","snapshot_observed_at":"2026-07-06T23:22:57.012338Z","submitted_at":"2026-05-11T18:03:31Z","title":"Two-loop neutrino mass model with modular $S_4$ symmetry","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-05-13T02:39:53.090395Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2605.11097"},"observation_digest":"sha256:41c70adc9036eff12b33a7d6b27c86d977f60b99de567590ade9db3380e43d5e","observation_id":"935ee30e-701c-457b-89a1-3c2437776d62","resolution":{"observed_at":"2026-05-13T02:42:08.883869Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09028","snapshot_observed_at":"2026-08-01T14:27:31.071767Z","title":"Meloni and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18803","last_updated":"2026-07-21T07:30:45Z","snapshot_observed_at":"2026-08-06T15:42:21.123786Z","submitted_at":"2026-07-21T07:30:45Z","title":"A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-01T14:27:31.071767Z"},"links":{"cited_paper":"/paper/2306.09028","citing_paper":"/paper/2607.18803"},"observation_digest":"sha256:713ccc964b002d90c584ab1d9e7e7036c7acdf71e540fc82d2d4a36905c8b4ac","observation_id":"a06e427c-df3f-4aaf-b31c-15cb2fcc6fc1","resolution":{"observed_at":"2026-08-01T14:27:31.071767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2306.09028/citation-record","integrity":"/paper/2306.09028/integrity","json":"/paper/2306.09028/citation-record.json","paper":"/paper/2306.09028"},"outbound":[],"paper":{"arxiv_id":"2306.09028","last_updated":"2023-09-08T07:51:33Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T10:40:16Z","title":"A simplest modular $S_3$ model for leptons"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2306.09028."}