{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3R5QCR74YJUIY7M45H3ADWRUJR","short_pith_number":"pith:3R5QCR74","canonical_record":{"source":{"id":"1905.11970","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-28T17:46:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3c4022202c469fcec1d6c0049e19804528e7454d47d8e1bbc8cd70b765cd5213","abstract_canon_sha256":"6c7ebf257c5a67faa9571ed9a2dcef3a933558afdc59dbf6c8b927074f60d906"},"schema_version":"1.0"},"canonical_sha256":"dc7b0147fcc2688c7d9ce9f601da344c63295fba31e4cae477690cb7de1312f5","source":{"kind":"arxiv","id":"1905.11970","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11970","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11970v2","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11970","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"pith_short_12","alias_value":"3R5QCR74YJUI","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"pith_short_16","alias_value":"3R5QCR74YJUIY7M4","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"pith_short_8","alias_value":"3R5QCR74","created_at":"2026-07-04T23:56:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3R5QCR74YJUIY7M45H3ADWRUJR","target":"record","payload":{"canonical_record":{"source":{"id":"1905.11970","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-28T17:46:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3c4022202c469fcec1d6c0049e19804528e7454d47d8e1bbc8cd70b765cd5213","abstract_canon_sha256":"6c7ebf257c5a67faa9571ed9a2dcef3a933558afdc59dbf6c8b927074f60d906"},"schema_version":"1.0"},"canonical_sha256":"dc7b0147fcc2688c7d9ce9f601da344c63295fba31e4cae477690cb7de1312f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:56:48.836011Z","signature_b64":"uNHfmROZ/xJ7bHTThd0IW0zA2wIX8oe4trauSfjAE4iLgOQD8fR487QUzGcdekkaT8PxHH4xoFlxqnsbialzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc7b0147fcc2688c7d9ce9f601da344c63295fba31e4cae477690cb7de1312f5","last_reissued_at":"2026-07-04T23:56:48.835501Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:56:48.835501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.11970","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":"2026-07-04T23:56:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otDV3kSR5pqFyG8UThaJg0cNZlwdYyWL/ZftwCp+Q55WAQ0fbsxaS1WtMy0os3yIVYUflqpPEGkq4E2Gns5YCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:32:04.878455Z"},"content_sha256":"0e3a1bcebebc6971b2a05b3191fb250bb7fc1e6557214597f0df5a1a8d49e2bd","schema_version":"1.0","event_id":"sha256:0e3a1bcebebc6971b2a05b3191fb250bb7fc1e6557214597f0df5a1a8d49e2bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3R5QCR74YJUIY7M45H3ADWRUJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised CP Symmetry in Modular-Invariant Models of Flavour","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"A. V. Titov, J. T. Penedo, P. P. Novichkov, S. T. Petcov","submitted_at":"2019-05-28T17:46:58Z","abstract_excerpt":"The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus $\\tau$ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular $S_4$ model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus $\\tau$ being the only source of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11970","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/1905.11970/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":"2026-07-04T23:56:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qLFrWBg6v1sZYAkF93H/bJq9MpoAjvo8vNJ2FkgSKHMiHqzBSAZ3VjMkaM+iypyUV7XX7VML2sHBgGKto5KyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:32:04.879103Z"},"content_sha256":"a82237fff70ddee7b8da21637550d05b10d0fec3f06be8d67c53f5c3091c9404","schema_version":"1.0","event_id":"sha256:a82237fff70ddee7b8da21637550d05b10d0fec3f06be8d67c53f5c3091c9404"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3R5QCR74YJUIY7M45H3ADWRUJR/bundle.json","state_url":"https://pith.science/pith/3R5QCR74YJUIY7M45H3ADWRUJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3R5QCR74YJUIY7M45H3ADWRUJR/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":"2026-08-07T18:32:04Z","links":{"resolver":"https://pith.science/pith/3R5QCR74YJUIY7M45H3ADWRUJR","bundle":"https://pith.science/pith/3R5QCR74YJUIY7M45H3ADWRUJR/bundle.json","state":"https://pith.science/pith/3R5QCR74YJUIY7M45H3ADWRUJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3R5QCR74YJUIY7M45H3ADWRUJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3R5QCR74YJUIY7M45H3ADWRUJR","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":"6c7ebf257c5a67faa9571ed9a2dcef3a933558afdc59dbf6c8b927074f60d906","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-28T17:46:58Z","title_canon_sha256":"3c4022202c469fcec1d6c0049e19804528e7454d47d8e1bbc8cd70b765cd5213"},"schema_version":"1.0","source":{"id":"1905.11970","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11970","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11970v2","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11970","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"pith_short_12","alias_value":"3R5QCR74YJUI","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"pith_short_16","alias_value":"3R5QCR74YJUIY7M4","created_at":"2026-07-04T23:56:48Z"},{"alias_kind":"pith_short_8","alias_value":"3R5QCR74","created_at":"2026-07-04T23:56:48Z"}],"graph_snapshots":[{"event_id":"sha256:a82237fff70ddee7b8da21637550d05b10d0fec3f06be8d67c53f5c3091c9404","target":"graph","created_at":"2026-07-04T23:56:48Z","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/1905.11970/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus $\\tau$ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular $S_4$ model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus $\\tau$ being the only source of","authors_text":"A. V. Titov, J. T. Penedo, P. P. Novichkov, S. T. Petcov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-28T17:46:58Z","title":"Generalised CP Symmetry in Modular-Invariant Models of Flavour"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11970","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":"sha256:0e3a1bcebebc6971b2a05b3191fb250bb7fc1e6557214597f0df5a1a8d49e2bd","target":"record","created_at":"2026-07-04T23:56:48Z","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":"6c7ebf257c5a67faa9571ed9a2dcef3a933558afdc59dbf6c8b927074f60d906","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-28T17:46:58Z","title_canon_sha256":"3c4022202c469fcec1d6c0049e19804528e7454d47d8e1bbc8cd70b765cd5213"},"schema_version":"1.0","source":{"id":"1905.11970","kind":"arxiv","version":2}},"canonical_sha256":"dc7b0147fcc2688c7d9ce9f601da344c63295fba31e4cae477690cb7de1312f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc7b0147fcc2688c7d9ce9f601da344c63295fba31e4cae477690cb7de1312f5","first_computed_at":"2026-07-04T23:56:48.835501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:56:48.835501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uNHfmROZ/xJ7bHTThd0IW0zA2wIX8oe4trauSfjAE4iLgOQD8fR487QUzGcdekkaT8PxHH4xoFlxqnsbialzBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:56:48.836011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11970","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e3a1bcebebc6971b2a05b3191fb250bb7fc1e6557214597f0df5a1a8d49e2bd","sha256:a82237fff70ddee7b8da21637550d05b10d0fec3f06be8d67c53f5c3091c9404"],"state_sha256":"9f715ebb1e473aa5250f93eec9c2e67dc67723683ca8329f139031989af1b8b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLuG8h/EJqDLhbnyoY5MF7o1Ar/1oL+GqfuC/rr8HgCWK9pPN8N27OC1ElI1DFm0FDu/DTq96FrVMqwmnc2yBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:32:04.884802Z","bundle_sha256":"146cc853ea17460534bb0801ff77c1076d0b87bbac9ee2f08d4073b6034762dd"}}