{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:T6OSUECITJK4KR3LIY7EJFKEJG","short_pith_number":"pith:T6OSUECI","canonical_record":{"source":{"id":"2203.00574","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T15:52:57Z","cross_cats_sorted":[],"title_canon_sha256":"5357e46b849c583ffdc5757f7cd092aa685513bf5af6e413d8dd1bf4fed01a95","abstract_canon_sha256":"c5de852643a8ddf1f185bfd09b58fb53bd2aeb25496e1477adea44a7ce79d971"},"schema_version":"1.0"},"canonical_sha256":"9f9d2a10489a55c5476b463e44954449a6b2d277cd0ab742d954fc7e7444b2cd","source":{"kind":"arxiv","id":"2203.00574","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.00574","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"arxiv_version","alias_value":"2203.00574v2","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.00574","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"pith_short_12","alias_value":"T6OSUECITJK4","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"pith_short_16","alias_value":"T6OSUECITJK4KR3L","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"pith_short_8","alias_value":"T6OSUECI","created_at":"2026-07-05T04:56:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:T6OSUECITJK4KR3LIY7EJFKEJG","target":"record","payload":{"canonical_record":{"source":{"id":"2203.00574","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T15:52:57Z","cross_cats_sorted":[],"title_canon_sha256":"5357e46b849c583ffdc5757f7cd092aa685513bf5af6e413d8dd1bf4fed01a95","abstract_canon_sha256":"c5de852643a8ddf1f185bfd09b58fb53bd2aeb25496e1477adea44a7ce79d971"},"schema_version":"1.0"},"canonical_sha256":"9f9d2a10489a55c5476b463e44954449a6b2d277cd0ab742d954fc7e7444b2cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:56:00.587780Z","signature_b64":"U0aF3mMtcKoTAPGyZkVP9PeDOvPk9f7m91QhCIs/vloM+/OxL5W1Kwn8lVD6hIVzenoLvHwtY1mojEc2aDYjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f9d2a10489a55c5476b463e44954449a6b2d277cd0ab742d954fc7e7444b2cd","last_reissued_at":"2026-07-05T04:56:00.587393Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:56:00.587393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.00574","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":"2026-07-05T04:56:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qs+SgEYq/FSL/S/fP3J3CT2wcRRdL2iUz1y2vKWtlsD2k0NEmonx0k4KlMIeRB/aD1N4bNAvVj77SfcZhjQzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T20:03:21.746247Z"},"content_sha256":"812a590cf890bd8873ad3d563ec1c0634293ca3cf961ea2f2fef1a4ab26e5485","schema_version":"1.0","event_id":"sha256:812a590cf890bd8873ad3d563ec1c0634293ca3cf961ea2f2fef1a4ab26e5485"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:T6OSUECITJK4KR3LIY7EJFKEJG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spelling Out Leptonic CP Violation in the Language of Invariant Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bingrong Yu, Shun Zhou","submitted_at":"2022-03-01T15:52:57Z","abstract_excerpt":"In terms of flavor invariants, we establish the intimate connection between leptonic CP violation in the canonical seesaw model for neutrino masses and that in the seesaw effective field theory (SEFT). For the first time, we calculate the Hilbert series and explicitly construct the primary flavor invariants in the SEFT by considering both the dimension-five Weinberg operator ${\\cal O}^{\\alpha \\beta}_5 = \\overline{\\ell^{}_{\\alpha \\rm L}} \\widetilde{H} \\widetilde{H}^{\\rm T} \\ell^{\\rm C}_{\\beta \\rm L}$ and the dimension-six operator ${\\cal O}^{\\alpha \\beta}_6 = \\overline{\\ell^{}_{\\alpha \\rm L}} \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.00574","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/2203.00574/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":"2026-07-05T04:56:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wnib9JdaNI9XgbggaIlzfJyjmDTB8fDMLQgI1ca4OvnKw3LCmQifHBJJIOAGGB3gTHBxWpcb99qBbO+jW5RNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T20:03:21.747246Z"},"content_sha256":"51ecf6069dd5c7e0ba77eadf47c390e97c6a85b3fa6326fe08350ee3e128ed0f","schema_version":"1.0","event_id":"sha256:51ecf6069dd5c7e0ba77eadf47c390e97c6a85b3fa6326fe08350ee3e128ed0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6OSUECITJK4KR3LIY7EJFKEJG/bundle.json","state_url":"https://pith.science/pith/T6OSUECITJK4KR3LIY7EJFKEJG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6OSUECITJK4KR3LIY7EJFKEJG/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":"2026-08-04T20:03:21Z","links":{"resolver":"https://pith.science/pith/T6OSUECITJK4KR3LIY7EJFKEJG","bundle":"https://pith.science/pith/T6OSUECITJK4KR3LIY7EJFKEJG/bundle.json","state":"https://pith.science/pith/T6OSUECITJK4KR3LIY7EJFKEJG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6OSUECITJK4KR3LIY7EJFKEJG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:T6OSUECITJK4KR3LIY7EJFKEJG","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":"c5de852643a8ddf1f185bfd09b58fb53bd2aeb25496e1477adea44a7ce79d971","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T15:52:57Z","title_canon_sha256":"5357e46b849c583ffdc5757f7cd092aa685513bf5af6e413d8dd1bf4fed01a95"},"schema_version":"1.0","source":{"id":"2203.00574","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.00574","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"arxiv_version","alias_value":"2203.00574v2","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.00574","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"pith_short_12","alias_value":"T6OSUECITJK4","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"pith_short_16","alias_value":"T6OSUECITJK4KR3L","created_at":"2026-07-05T04:56:00Z"},{"alias_kind":"pith_short_8","alias_value":"T6OSUECI","created_at":"2026-07-05T04:56:00Z"}],"graph_snapshots":[{"event_id":"sha256:51ecf6069dd5c7e0ba77eadf47c390e97c6a85b3fa6326fe08350ee3e128ed0f","target":"graph","created_at":"2026-07-05T04:56:00Z","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/2203.00574/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In terms of flavor invariants, we establish the intimate connection between leptonic CP violation in the canonical seesaw model for neutrino masses and that in the seesaw effective field theory (SEFT). For the first time, we calculate the Hilbert series and explicitly construct the primary flavor invariants in the SEFT by considering both the dimension-five Weinberg operator ${\\cal O}^{\\alpha \\beta}_5 = \\overline{\\ell^{}_{\\alpha \\rm L}} \\widetilde{H} \\widetilde{H}^{\\rm T} \\ell^{\\rm C}_{\\beta \\rm L}$ and the dimension-six operator ${\\cal O}^{\\alpha \\beta}_6 = \\overline{\\ell^{}_{\\alpha \\rm L}} \\","authors_text":"Bingrong Yu, Shun Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T15:52:57Z","title":"Spelling Out Leptonic CP Violation in the Language of Invariant Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.00574","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":"sha256:812a590cf890bd8873ad3d563ec1c0634293ca3cf961ea2f2fef1a4ab26e5485","target":"record","created_at":"2026-07-05T04:56:00Z","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":"c5de852643a8ddf1f185bfd09b58fb53bd2aeb25496e1477adea44a7ce79d971","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T15:52:57Z","title_canon_sha256":"5357e46b849c583ffdc5757f7cd092aa685513bf5af6e413d8dd1bf4fed01a95"},"schema_version":"1.0","source":{"id":"2203.00574","kind":"arxiv","version":2}},"canonical_sha256":"9f9d2a10489a55c5476b463e44954449a6b2d277cd0ab742d954fc7e7444b2cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f9d2a10489a55c5476b463e44954449a6b2d277cd0ab742d954fc7e7444b2cd","first_computed_at":"2026-07-05T04:56:00.587393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:56:00.587393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U0aF3mMtcKoTAPGyZkVP9PeDOvPk9f7m91QhCIs/vloM+/OxL5W1Kwn8lVD6hIVzenoLvHwtY1mojEc2aDYjBA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:56:00.587780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.00574","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:812a590cf890bd8873ad3d563ec1c0634293ca3cf961ea2f2fef1a4ab26e5485","sha256:51ecf6069dd5c7e0ba77eadf47c390e97c6a85b3fa6326fe08350ee3e128ed0f"],"state_sha256":"39c413ec4ad760f23654468ff5c27d472f1e82bb6bd0958c7a46b8b9ac0571d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cHtuZOdHrLSenM8zYf6Px2iKvro1r6SVRg1nFaguyUAMRqS6Jfs5c62hDs6VyvK6XIlNn4FCPCYwd1SvydH0Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T20:03:21.755631Z","bundle_sha256":"49eb274ec57717bd73dd456e849b99a3c1960fc1f0994bfcf9e1f4e1bb899ba4"}}