{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:OWI3OPSRHX32Q2OGI7JCI7533A","short_pith_number":"pith:OWI3OPSR","canonical_record":{"source":{"id":"1411.5845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-21T12:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"cf96e4cd79d684aea510e0bdd1216db3bf745a0bc23637c47e7858126ac28cee","abstract_canon_sha256":"c11bacc1c7c0ee1c581924a2117e6eef7b823b036b08758d35ce7c90029eff4c"},"schema_version":"1.0"},"canonical_sha256":"7591b73e513df7a869c647d2247fbbd8334420e240eb6da07d56b47749f21aef","source":{"kind":"arxiv","id":"1411.5845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5845","created_at":"2026-05-18T01:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5845v1","created_at":"2026-05-18T01:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5845","created_at":"2026-05-18T01:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"OWI3OPSRHX32","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OWI3OPSRHX32Q2OG","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OWI3OPSR","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:OWI3OPSRHX32Q2OGI7JCI7533A","target":"record","payload":{"canonical_record":{"source":{"id":"1411.5845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-21T12:42:28Z","cross_cats_sorted":[],"title_canon_sha256":"cf96e4cd79d684aea510e0bdd1216db3bf745a0bc23637c47e7858126ac28cee","abstract_canon_sha256":"c11bacc1c7c0ee1c581924a2117e6eef7b823b036b08758d35ce7c90029eff4c"},"schema_version":"1.0"},"canonical_sha256":"7591b73e513df7a869c647d2247fbbd8334420e240eb6da07d56b47749f21aef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:28.539048Z","signature_b64":"ElOoMTC/+2ex7SYlDF+aQaVoz6o/DpBp8C4070h0udJUtIeomUkHXlDkIR2OApP6Fp4y3nR75KrDNEDKVGwcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7591b73e513df7a869c647d2247fbbd8334420e240eb6da07d56b47749f21aef","last_reissued_at":"2026-05-18T01:41:28.538562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:28.538562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.5845","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uGyuzLncTvLaAsLRhXD5ijuFLcRBS6bxjvdRUR1QyOX7n7f43cW+1G11knTUWH5WxudbvciGIG+e4EO+P/toDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:04:39.791727Z"},"content_sha256":"158dcdc511f351efdc8004d6d328c57c5d7c22e1c9d6945d32cc35c9644ed15d","schema_version":"1.0","event_id":"sha256:158dcdc511f351efdc8004d6d328c57c5d7c22e1c9d6945d32cc35c9644ed15d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:OWI3OPSRHX32Q2OGI7JCI7533A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quark mixing from Delta(6N^2) family symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hajime Ishimori, Hiroshi Okada, Morimitsu Tanimoto, Stephen F. King","submitted_at":"2014-11-21T12:42:28Z","abstract_excerpt":"We consider a direct approach to quark mixing based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is determined by a residual Z_2 times Z_2 subgroup to be $|V_{us}|=0.222521$, for $N$ being a multiple of 7. We propose a particular model in which unequal smaller quark mixing angles and CP phases may occur without breaking the residual Z_2 times Z_2 symmetry. We perform a numerical analysis of the model for $N=14$, where small Z_2 times Z_2 breaking effects of order 3% are allowed by model, allowing perfect agreement within the uncertainties of the experimentally determ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5845","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ac6NvnQCPM6qEU/mrb5rMCmWJqDqIokwQ1IUQCA/DgdmQUvYQa2xMnFLKumXgKdQtDGFc17+G3Hb3x26b9WkAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:04:39.792079Z"},"content_sha256":"7ec8c798e3da56e8d302e9ea02887f282099db4282b30c93ccb3499a1db59994","schema_version":"1.0","event_id":"sha256:7ec8c798e3da56e8d302e9ea02887f282099db4282b30c93ccb3499a1db59994"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWI3OPSRHX32Q2OGI7JCI7533A/bundle.json","state_url":"https://pith.science/pith/OWI3OPSRHX32Q2OGI7JCI7533A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWI3OPSRHX32Q2OGI7JCI7533A/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T18:04:39Z","links":{"resolver":"https://pith.science/pith/OWI3OPSRHX32Q2OGI7JCI7533A","bundle":"https://pith.science/pith/OWI3OPSRHX32Q2OGI7JCI7533A/bundle.json","state":"https://pith.science/pith/OWI3OPSRHX32Q2OGI7JCI7533A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWI3OPSRHX32Q2OGI7JCI7533A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OWI3OPSRHX32Q2OGI7JCI7533A","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":"c11bacc1c7c0ee1c581924a2117e6eef7b823b036b08758d35ce7c90029eff4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-21T12:42:28Z","title_canon_sha256":"cf96e4cd79d684aea510e0bdd1216db3bf745a0bc23637c47e7858126ac28cee"},"schema_version":"1.0","source":{"id":"1411.5845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5845","created_at":"2026-05-18T01:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5845v1","created_at":"2026-05-18T01:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5845","created_at":"2026-05-18T01:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"OWI3OPSRHX32","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OWI3OPSRHX32Q2OG","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OWI3OPSR","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:7ec8c798e3da56e8d302e9ea02887f282099db4282b30c93ccb3499a1db59994","target":"graph","created_at":"2026-05-18T01:41:28Z","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"},"paper":{"abstract_excerpt":"We consider a direct approach to quark mixing based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is determined by a residual Z_2 times Z_2 subgroup to be $|V_{us}|=0.222521$, for $N$ being a multiple of 7. We propose a particular model in which unequal smaller quark mixing angles and CP phases may occur without breaking the residual Z_2 times Z_2 symmetry. We perform a numerical analysis of the model for $N=14$, where small Z_2 times Z_2 breaking effects of order 3% are allowed by model, allowing perfect agreement within the uncertainties of the experimentally determ","authors_text":"Hajime Ishimori, Hiroshi Okada, Morimitsu Tanimoto, Stephen F. King","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-21T12:42:28Z","title":"Quark mixing from Delta(6N^2) family symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5845","kind":"arxiv","version":1},"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":"sha256:158dcdc511f351efdc8004d6d328c57c5d7c22e1c9d6945d32cc35c9644ed15d","target":"record","created_at":"2026-05-18T01:41:28Z","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":"c11bacc1c7c0ee1c581924a2117e6eef7b823b036b08758d35ce7c90029eff4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-21T12:42:28Z","title_canon_sha256":"cf96e4cd79d684aea510e0bdd1216db3bf745a0bc23637c47e7858126ac28cee"},"schema_version":"1.0","source":{"id":"1411.5845","kind":"arxiv","version":1}},"canonical_sha256":"7591b73e513df7a869c647d2247fbbd8334420e240eb6da07d56b47749f21aef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7591b73e513df7a869c647d2247fbbd8334420e240eb6da07d56b47749f21aef","first_computed_at":"2026-05-18T01:41:28.538562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:28.538562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ElOoMTC/+2ex7SYlDF+aQaVoz6o/DpBp8C4070h0udJUtIeomUkHXlDkIR2OApP6Fp4y3nR75KrDNEDKVGwcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:28.539048Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.5845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:158dcdc511f351efdc8004d6d328c57c5d7c22e1c9d6945d32cc35c9644ed15d","sha256:7ec8c798e3da56e8d302e9ea02887f282099db4282b30c93ccb3499a1db59994"],"state_sha256":"af4e3d5cfe20d908edb0f438d7fbeceaac6451f5b769b748dffd5822f2a7bbdb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0OFjdgWfc1h8hlYOB0IgFmJlq9KGCWo9mERErBpMFwT8chayGICG4ZkCZsnYa9NjF+sQ4Rvy/VXx30NDnGR9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:04:39.794141Z","bundle_sha256":"61b192975529229994152bd4c847ac11f6518e04ce6adad5de9f27becc70aef5"}}