{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RHN6YU3WDS4G7UIMUY6WLCTEPO","short_pith_number":"pith:RHN6YU3W","canonical_record":{"source":{"id":"1812.09677","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-23T09:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"d91f6b7f31d1680e85f22ed1da9a92ccb2d50048f655ff5fdee929a8e42e6f7c","abstract_canon_sha256":"34450a34b0c1c1142f7a3916564a637527de62ddbd9bd2cc601b0a33f288fa4b"},"schema_version":"1.0"},"canonical_sha256":"89dbec53761cb86fd10ca63d658a647bb05dbdff1d299e38bc60aaaae3e50c99","source":{"kind":"arxiv","id":"1812.09677","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09677","created_at":"2026-05-17T23:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09677v3","created_at":"2026-05-17T23:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09677","created_at":"2026-05-17T23:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"RHN6YU3WDS4G","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RHN6YU3WDS4G7UIM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RHN6YU3W","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RHN6YU3WDS4G7UIMUY6WLCTEPO","target":"record","payload":{"canonical_record":{"source":{"id":"1812.09677","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-23T09:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"d91f6b7f31d1680e85f22ed1da9a92ccb2d50048f655ff5fdee929a8e42e6f7c","abstract_canon_sha256":"34450a34b0c1c1142f7a3916564a637527de62ddbd9bd2cc601b0a33f288fa4b"},"schema_version":"1.0"},"canonical_sha256":"89dbec53761cb86fd10ca63d658a647bb05dbdff1d299e38bc60aaaae3e50c99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:38.972901Z","signature_b64":"UhK8cmlQDJrqnVVatmt/sqBFIVNed9kZ0qWk49egC/BBg79uUM84x2PRf+h+MrzFmqMX5PTogRW9gwJwo8ktDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89dbec53761cb86fd10ca63d658a647bb05dbdff1d299e38bc60aaaae3e50c99","last_reissued_at":"2026-05-17T23:52:38.972256Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:38.972256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.09677","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RXmGGXyIBItd7q7WQOSIaPG+TgwOEjpcI8c5N4BLrO1I5+ggQMnB+5lGjDIJfakagP0z0E/QrzwHfjCsB8lLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:39:17.926761Z"},"content_sha256":"6314b76420c7f024d55b4a761a3a330a047ee2b53e9c96666e87f4680ff9b309","schema_version":"1.0","event_id":"sha256:6314b76420c7f024d55b4a761a3a330a047ee2b53e9c96666e87f4680ff9b309"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RHN6YU3WDS4G7UIMUY6WLCTEPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CP violation of quarks in $A_4$ modular invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiroshi Okada, Morimitsu Tanimoto","submitted_at":"2018-12-23T09:43:56Z","abstract_excerpt":"We discuss the quark mass matrices in the $A_4$ modular symmetry, where the $A_4$ triplet of Higgs is introduced for each up-quark and down-quark sectors, respectively. The model has six real parameters and two complex parameters in addition to the modulus $\\tau$. By inputting six quark masses and three CKM mixing angles, we can predict the CP violation phase $\\delta$ and the Jarlskog invariant $J_{CP}$. The predicted ranges of $\\delta$ and $J_{CP}$ are consistent with the observed values. The absolute value of $V_{ub}$ is smaller than $0.0043$, while $V_{cb}$ is lager than $0.0436$. In conclu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09677","kind":"arxiv","version":3},"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":"2026-05-17T23:52:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m47sLOj1i9We/oVFHoJEC5h/nrKXH5zKzxBLaV+TVuNSYJtBibJZcVgCSLIqOz0H/2G8M4mit3PDHFN/9XRpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:39:17.927422Z"},"content_sha256":"086dd5f69746e2cf85c6d933ead959f60fa6a53adcec8e6bebdd363e9eb1b140","schema_version":"1.0","event_id":"sha256:086dd5f69746e2cf85c6d933ead959f60fa6a53adcec8e6bebdd363e9eb1b140"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO/bundle.json","state_url":"https://pith.science/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO/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":"2026-06-01T00:39:17Z","links":{"resolver":"https://pith.science/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO","bundle":"https://pith.science/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO/bundle.json","state":"https://pith.science/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RHN6YU3WDS4G7UIMUY6WLCTEPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RHN6YU3WDS4G7UIMUY6WLCTEPO","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":"34450a34b0c1c1142f7a3916564a637527de62ddbd9bd2cc601b0a33f288fa4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-23T09:43:56Z","title_canon_sha256":"d91f6b7f31d1680e85f22ed1da9a92ccb2d50048f655ff5fdee929a8e42e6f7c"},"schema_version":"1.0","source":{"id":"1812.09677","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09677","created_at":"2026-05-17T23:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09677v3","created_at":"2026-05-17T23:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09677","created_at":"2026-05-17T23:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"RHN6YU3WDS4G","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RHN6YU3WDS4G7UIM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RHN6YU3W","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:086dd5f69746e2cf85c6d933ead959f60fa6a53adcec8e6bebdd363e9eb1b140","target":"graph","created_at":"2026-05-17T23:52:38Z","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 discuss the quark mass matrices in the $A_4$ modular symmetry, where the $A_4$ triplet of Higgs is introduced for each up-quark and down-quark sectors, respectively. The model has six real parameters and two complex parameters in addition to the modulus $\\tau$. By inputting six quark masses and three CKM mixing angles, we can predict the CP violation phase $\\delta$ and the Jarlskog invariant $J_{CP}$. The predicted ranges of $\\delta$ and $J_{CP}$ are consistent with the observed values. The absolute value of $V_{ub}$ is smaller than $0.0043$, while $V_{cb}$ is lager than $0.0436$. In conclu","authors_text":"Hiroshi Okada, Morimitsu Tanimoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-23T09:43:56Z","title":"CP violation of quarks in $A_4$ modular invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09677","kind":"arxiv","version":3},"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":"sha256:6314b76420c7f024d55b4a761a3a330a047ee2b53e9c96666e87f4680ff9b309","target":"record","created_at":"2026-05-17T23:52:38Z","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":"34450a34b0c1c1142f7a3916564a637527de62ddbd9bd2cc601b0a33f288fa4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-12-23T09:43:56Z","title_canon_sha256":"d91f6b7f31d1680e85f22ed1da9a92ccb2d50048f655ff5fdee929a8e42e6f7c"},"schema_version":"1.0","source":{"id":"1812.09677","kind":"arxiv","version":3}},"canonical_sha256":"89dbec53761cb86fd10ca63d658a647bb05dbdff1d299e38bc60aaaae3e50c99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89dbec53761cb86fd10ca63d658a647bb05dbdff1d299e38bc60aaaae3e50c99","first_computed_at":"2026-05-17T23:52:38.972256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:38.972256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UhK8cmlQDJrqnVVatmt/sqBFIVNed9kZ0qWk49egC/BBg79uUM84x2PRf+h+MrzFmqMX5PTogRW9gwJwo8ktDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:38.972901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09677","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6314b76420c7f024d55b4a761a3a330a047ee2b53e9c96666e87f4680ff9b309","sha256:086dd5f69746e2cf85c6d933ead959f60fa6a53adcec8e6bebdd363e9eb1b140"],"state_sha256":"2e19f7c310e5171519947f213faf760eb299f4b13eaac3fce106bc40f7c147c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MFTr4YEkTqzN3lYQp98G2I+319hdCK8eAp1Va2REu1sUDPrT/52x79+TLYD+CMPyGh5IylrCnYyE3CsBanq5AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:39:17.930882Z","bundle_sha256":"d3a6161e8db66fcc6ccb89fcab7ba034bb86797eb5441eba37f6aab0f80e257e"}}