{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LCPXY5MC5BOLVNA5IAKOKVGZLZ","short_pith_number":"pith:LCPXY5MC","canonical_record":{"source":{"id":"2408.10325","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-19T18:05:22Z","cross_cats_sorted":[],"title_canon_sha256":"362a5c61f07ad290c04a11d5405affa32babd46a3bdd28c00d69161b01fce87b","abstract_canon_sha256":"ab15dc8351d7a7aa9c3082aea5918e74359e0a540997dd4baef3f1de69b29813"},"schema_version":"1.0"},"canonical_sha256":"589f7c7582e85cbab41d4014e554d95e517de614b1c6b805d4c07b22f5a618eb","source":{"kind":"arxiv","id":"2408.10325","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.10325","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"2408.10325v2","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.10325","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"LCPXY5MC5BOL","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"pith_short_16","alias_value":"LCPXY5MC5BOLVNA5","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"pith_short_8","alias_value":"LCPXY5MC","created_at":"2026-07-05T09:32:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LCPXY5MC5BOLVNA5IAKOKVGZLZ","target":"record","payload":{"canonical_record":{"source":{"id":"2408.10325","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-19T18:05:22Z","cross_cats_sorted":[],"title_canon_sha256":"362a5c61f07ad290c04a11d5405affa32babd46a3bdd28c00d69161b01fce87b","abstract_canon_sha256":"ab15dc8351d7a7aa9c3082aea5918e74359e0a540997dd4baef3f1de69b29813"},"schema_version":"1.0"},"canonical_sha256":"589f7c7582e85cbab41d4014e554d95e517de614b1c6b805d4c07b22f5a618eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:32:47.687780Z","signature_b64":"umjBOPqNnDejT4IjDL7SV+1EBcBxZtgrBdzG6odY+vRbwM8nS1ZdbVH8QZJHbJBlNM6522eN4/S8mJejStyGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"589f7c7582e85cbab41d4014e554d95e517de614b1c6b805d4c07b22f5a618eb","last_reissued_at":"2026-07-05T09:32:47.687280Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:32:47.687280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.10325","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:32:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qlDnAQBkvJ7qqi5iaZoAUbBpq16XdL2AIU7zmdifpOPTZ+za5b9n3Jzi/gkb/uaigEZGJUOAmMERG9kSlMGxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:28:35.403847Z"},"content_sha256":"17d86e51951ae19cefb78990be95e0533e9718b1d2935bf801210771b5125f55","schema_version":"1.0","event_id":"sha256:17d86e51951ae19cefb78990be95e0533e9718b1d2935bf801210771b5125f55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LCPXY5MC5BOLVNA5IAKOKVGZLZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flavor invariants for the SM with one singlet vector-like quark","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. C. Nishi, E. L. F. de Lima","submitted_at":"2024-08-19T18:05:22Z","abstract_excerpt":"We study the flavor invariants of the SM augmented by one singlet vector-like quark. Aided by the Hilbert series, we construct all the basic invariants with which any flavor invariant can be written as a polynomial. In special, this theory contains one CP odd invariant of degree six which has degree much lower than the usual Jarlskog invariant of the SM. We find the nonlinear polynomial relations (syzygies) of lowest degrees involving these basic invariants, including the expression of the square of the CP odd invariant of lowest degree in terms of CP even invariants. The $SU(3)$ identity unde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.10325","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.10325/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:32:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lOJHfLP30yOQE211AZBHkWJYty8bULMkWV9pplWOKnZNC/KDaWsN9RonD0Kj0Yf8vQzjcukEqyVE14b2K5XBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:28:35.404389Z"},"content_sha256":"b402766d03e792376180db703c4b65ba387683f76cc73e82fd46cf37b1620757","schema_version":"1.0","event_id":"sha256:b402766d03e792376180db703c4b65ba387683f76cc73e82fd46cf37b1620757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ/bundle.json","state_url":"https://pith.science/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ/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":"2026-08-11T21:28:35Z","links":{"resolver":"https://pith.science/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ","bundle":"https://pith.science/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ/bundle.json","state":"https://pith.science/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCPXY5MC5BOLVNA5IAKOKVGZLZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LCPXY5MC5BOLVNA5IAKOKVGZLZ","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":"ab15dc8351d7a7aa9c3082aea5918e74359e0a540997dd4baef3f1de69b29813","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-19T18:05:22Z","title_canon_sha256":"362a5c61f07ad290c04a11d5405affa32babd46a3bdd28c00d69161b01fce87b"},"schema_version":"1.0","source":{"id":"2408.10325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.10325","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"2408.10325v2","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.10325","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"LCPXY5MC5BOL","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"pith_short_16","alias_value":"LCPXY5MC5BOLVNA5","created_at":"2026-07-05T09:32:47Z"},{"alias_kind":"pith_short_8","alias_value":"LCPXY5MC","created_at":"2026-07-05T09:32:47Z"}],"graph_snapshots":[{"event_id":"sha256:b402766d03e792376180db703c4b65ba387683f76cc73e82fd46cf37b1620757","target":"graph","created_at":"2026-07-05T09:32:47Z","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/2408.10325/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the flavor invariants of the SM augmented by one singlet vector-like quark. Aided by the Hilbert series, we construct all the basic invariants with which any flavor invariant can be written as a polynomial. In special, this theory contains one CP odd invariant of degree six which has degree much lower than the usual Jarlskog invariant of the SM. We find the nonlinear polynomial relations (syzygies) of lowest degrees involving these basic invariants, including the expression of the square of the CP odd invariant of lowest degree in terms of CP even invariants. The $SU(3)$ identity unde","authors_text":"C. C. Nishi, E. L. F. de Lima","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-19T18:05:22Z","title":"Flavor invariants for the SM with one singlet vector-like quark"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.10325","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":"sha256:17d86e51951ae19cefb78990be95e0533e9718b1d2935bf801210771b5125f55","target":"record","created_at":"2026-07-05T09:32:47Z","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":"ab15dc8351d7a7aa9c3082aea5918e74359e0a540997dd4baef3f1de69b29813","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-19T18:05:22Z","title_canon_sha256":"362a5c61f07ad290c04a11d5405affa32babd46a3bdd28c00d69161b01fce87b"},"schema_version":"1.0","source":{"id":"2408.10325","kind":"arxiv","version":2}},"canonical_sha256":"589f7c7582e85cbab41d4014e554d95e517de614b1c6b805d4c07b22f5a618eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"589f7c7582e85cbab41d4014e554d95e517de614b1c6b805d4c07b22f5a618eb","first_computed_at":"2026-07-05T09:32:47.687280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:32:47.687280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"umjBOPqNnDejT4IjDL7SV+1EBcBxZtgrBdzG6odY+vRbwM8nS1ZdbVH8QZJHbJBlNM6522eN4/S8mJejStyGAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:32:47.687780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.10325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17d86e51951ae19cefb78990be95e0533e9718b1d2935bf801210771b5125f55","sha256:b402766d03e792376180db703c4b65ba387683f76cc73e82fd46cf37b1620757"],"state_sha256":"e50be9e4992f4f95cb60576b757aabaaff3237d81323b6c172b34ea5789d0063"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVaoM2uvusNhmvHJGKmFk6oZMjuKj3FAQV7rovY+nrj+FvPWUttPYMl2PJ180qrPU7fqfMxmoeLfrf6xmX6vAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:28:35.410489Z","bundle_sha256":"7c18b6467ca39bc567d4c7ece6f70a96ac8ab5c51e56204d2f2442cd0fb033b6"}}