{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:S2FAXTGCDO74ZDO4AV7XZGDGQO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0ff71be73afbf23af98dac6c46fc164d6337f5a003c68403f5229167a73d0b03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-01-25T16:25:35Z","title_canon_sha256":"e46a484519da7c70e8d6ea585c8fabd84f16f139a7e98d56b7e7d521fb1844e6"},"schema_version":"1.0","source":{"id":"2201.10429","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.10429","created_at":"2026-07-05T04:09:18Z"},{"alias_kind":"arxiv_version","alias_value":"2201.10429v2","created_at":"2026-07-05T04:09:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.10429","created_at":"2026-07-05T04:09:18Z"},{"alias_kind":"pith_short_12","alias_value":"S2FAXTGCDO74","created_at":"2026-07-05T04:09:18Z"},{"alias_kind":"pith_short_16","alias_value":"S2FAXTGCDO74ZDO4","created_at":"2026-07-05T04:09:18Z"},{"alias_kind":"pith_short_8","alias_value":"S2FAXTGC","created_at":"2026-07-05T04:09:18Z"}],"graph_snapshots":[{"event_id":"sha256:7f455520e9ef868a6c64a43f76d6a743574f960ffb030a8545923408f5891aca","target":"graph","created_at":"2026-07-05T04:09:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2201.10429/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the implication of modular $\\Gamma^{\\prime}_5 \\simeq A^{\\prime}_5$ symmetry on neutrino oscillation phenomenology in the linear seesaw framework. In order to achieve the well defined mass structure for the light active neutrinos as dictated by the linear seesaw mechanism, we introduce six heavy fermion fields along with a pair of weightons to retain the holomorphic nature of the superpotential. The notable feature of modular symmetry is that, it reduces the usage of flavon fields significantly. In addition, the Yukawa couplings transform non-trivially under the fl","authors_text":"Mitesh Kumar Behera, Rukmani Mohanta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-01-25T16:25:35Z","title":"Linear seesaw in $A^\\prime_5$ modular symmetry with Leptogenesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.10429","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fdd7e7334063be1517e907b057fd45fa3f317dbdbfcee890989ad1c35e90158f","target":"record","created_at":"2026-07-05T04:09:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0ff71be73afbf23af98dac6c46fc164d6337f5a003c68403f5229167a73d0b03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-01-25T16:25:35Z","title_canon_sha256":"e46a484519da7c70e8d6ea585c8fabd84f16f139a7e98d56b7e7d521fb1844e6"},"schema_version":"1.0","source":{"id":"2201.10429","kind":"arxiv","version":2}},"canonical_sha256":"968a0bccc21bbfcc8ddc057f7c9866838dcae04594cccea4c15d3f203338ea0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"968a0bccc21bbfcc8ddc057f7c9866838dcae04594cccea4c15d3f203338ea0f","first_computed_at":"2026-07-05T04:09:18.030732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:09:18.030732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ncJ7ja+q0umE7qqz/FcksLygg1RaXkBJQpJ0FYs88+r2HcpXValdUOTd+AsQodt5Lc3pbH9owxgJExmtReHdAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:09:18.031210Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.10429","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdd7e7334063be1517e907b057fd45fa3f317dbdbfcee890989ad1c35e90158f","sha256:7f455520e9ef868a6c64a43f76d6a743574f960ffb030a8545923408f5891aca"],"state_sha256":"b63da578cdd357ee4fd2d481b697f1b4c0b94472f2012d43ec6d0cb3b00d1015"}