{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:4TJYJQSYJ46YFZVX7YKO4Y3BI6","short_pith_number":"pith:4TJYJQSY","schema_version":"1.0","canonical_sha256":"e4d384c2584f3d82e6b7fe14ee63614793a1492a35f3beccc656d43596841d54","source":{"kind":"arxiv","id":"1011.4577","version":4},"attestation_state":"computed","paper":{"title":"Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-ex","nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Kalpana Bora, Mina K. Parida, Pradip K. Sahu","submitted_at":"2010-11-20T12:27:44Z","abstract_excerpt":"We show how gauge coupling unification is successfully implemented through non-supersymmetric grand unified theory, $SO(10)\\times G_f (~G_f=S_4, SO(3)_f, SU(3)_f)$, using low-scale flavor symmetric model of the type $SU(2)_L\\times U(1)_Y$ $ \\times SU(3)_C \\times S_4$ recently proposed by Hagedorn, Lindner, and Mohapatra, while assigning matter-parity discrete symmetry for the dark matter stability. For gauge coupling unification in the single-step breaking case, we show that a color-octet fermion and a hyperchargeless weak-triplet fermionic dark matter are the missing particles needed to compl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1011.4577","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-20T12:27:44Z","cross_cats_sorted":["astro-ph.HE","hep-ex","nucl-ex","nucl-th"],"title_canon_sha256":"4b1d1ac50cb33f856406f67b8404ab36405192c8e5e01a7ccd8a77d67a252d8c","abstract_canon_sha256":"6d7c665fda1e83b8e948ada996ca597d62826ed903ad3e304ec8589aae4b5e11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:51.596411Z","signature_b64":"7fdN2R+MYlirHjLL9UZFzfRiVfGz+brHHD4yCMDqF057onmKFXUt+ISJakqRP+coI/MDriC78HI6LTzSta3HBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4d384c2584f3d82e6b7fe14ee63614793a1492a35f3beccc656d43596841d54","last_reissued_at":"2026-05-18T04:21:51.595776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:51.595776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-ex","nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Kalpana Bora, Mina K. Parida, Pradip K. Sahu","submitted_at":"2010-11-20T12:27:44Z","abstract_excerpt":"We show how gauge coupling unification is successfully implemented through non-supersymmetric grand unified theory, $SO(10)\\times G_f (~G_f=S_4, SO(3)_f, SU(3)_f)$, using low-scale flavor symmetric model of the type $SU(2)_L\\times U(1)_Y$ $ \\times SU(3)_C \\times S_4$ recently proposed by Hagedorn, Lindner, and Mohapatra, while assigning matter-parity discrete symmetry for the dark matter stability. For gauge coupling unification in the single-step breaking case, we show that a color-octet fermion and a hyperchargeless weak-triplet fermionic dark matter are the missing particles needed to compl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4577","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1011.4577","created_at":"2026-05-18T04:21:51.595860+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4577v4","created_at":"2026-05-18T04:21:51.595860+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4577","created_at":"2026-05-18T04:21:51.595860+00:00"},{"alias_kind":"pith_short_12","alias_value":"4TJYJQSYJ46Y","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"4TJYJQSYJ46YFZVX","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"4TJYJQSY","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6","json":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6.json","graph_json":"https://pith.science/api/pith-number/4TJYJQSYJ46YFZVX7YKO4Y3BI6/graph.json","events_json":"https://pith.science/api/pith-number/4TJYJQSYJ46YFZVX7YKO4Y3BI6/events.json","paper":"https://pith.science/paper/4TJYJQSY"},"agent_actions":{"view_html":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6","download_json":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6.json","view_paper":"https://pith.science/paper/4TJYJQSY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4577&json=true","fetch_graph":"https://pith.science/api/pith-number/4TJYJQSYJ46YFZVX7YKO4Y3BI6/graph.json","fetch_events":"https://pith.science/api/pith-number/4TJYJQSYJ46YFZVX7YKO4Y3BI6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6/action/storage_attestation","attest_author":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6/action/author_attestation","sign_citation":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6/action/citation_signature","submit_replication":"https://pith.science/pith/4TJYJQSYJ46YFZVX7YKO4Y3BI6/action/replication_record"}},"created_at":"2026-05-18T04:21:51.595860+00:00","updated_at":"2026-05-18T04:21:51.595860+00:00"}