{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HDQZONPIMQNC6IIXRAIK6RFNII","short_pith_number":"pith:HDQZONPI","canonical_record":{"source":{"id":"2206.12629","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-25T11:51:42Z","cross_cats_sorted":[],"title_canon_sha256":"6b3fd36f509c14d84aaece979547df639aed4dd3d782728c1a4239a3b4d36efb","abstract_canon_sha256":"02a253701de91ffad4fd5abc95ad518947f13b2e36c9ec809d5d3f1e1891ecdf"},"schema_version":"1.0"},"canonical_sha256":"38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c","source":{"kind":"arxiv","id":"2206.12629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.12629","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"2206.12629v1","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.12629","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"HDQZONPIMQNC","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"pith_short_16","alias_value":"HDQZONPIMQNC6IIX","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"pith_short_8","alias_value":"HDQZONPI","created_at":"2026-07-05T05:22:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HDQZONPIMQNC6IIXRAIK6RFNII","target":"record","payload":{"canonical_record":{"source":{"id":"2206.12629","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-25T11:51:42Z","cross_cats_sorted":[],"title_canon_sha256":"6b3fd36f509c14d84aaece979547df639aed4dd3d782728c1a4239a3b4d36efb","abstract_canon_sha256":"02a253701de91ffad4fd5abc95ad518947f13b2e36c9ec809d5d3f1e1891ecdf"},"schema_version":"1.0"},"canonical_sha256":"38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:22:49.040712Z","signature_b64":"9gkR8YDo6oR0XFk8Wn9EqwP7G+ts4bVJX5bA9wIgLYJ78zzI+FsmN+EJfrRPpy73yA/WPqlF8Dr3+mKYSjB/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c","last_reissued_at":"2026-07-05T05:22:49.040197Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:22:49.040197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.12629","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":"2026-07-05T05:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DxHccQDJaoh8N5Fx9MiESud1aoroQ+zOl8euqAYtHarzPEuRH6UVmtPz9CDNB/XfUDhOtOl0YIwHW8W39PGuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:15:17.299340Z"},"content_sha256":"1a46d66d10471ba44c18539e07b3f7820aeb1b8e74d88a69ee65fade5bdd5c69","schema_version":"1.0","event_id":"sha256:1a46d66d10471ba44c18539e07b3f7820aeb1b8e74d88a69ee65fade5bdd5c69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HDQZONPIMQNC6IIXRAIK6RFNII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lepton mass matrix from double covering of $A_4$ modular flavor symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiroshi Okada, Yuta Orikasa","submitted_at":"2022-06-25T11:51:42Z","abstract_excerpt":"We study a double covering of modular $A_4$ flavor symmetry in which we construct lepton models in cases of canonical seesaw and radiative seesaw models. Through $\\chi$ square numerical analysis, we show some predictions for the cases, depending on normal and inverted hierarchies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.12629","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.12629/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":"2026-07-05T05:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rE0xEd7AZc4DBFlDUsB5dsPqIMqBRO1/tEpoGZeTsMVWh+1zlKbUWADnzb6H4uBxSyUZVvLN9P7Qu0K9mX+iCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:15:17.299941Z"},"content_sha256":"ce6cf794d60e12035a10062ba76e9c19506da4385507d9c699a767d35f034685","schema_version":"1.0","event_id":"sha256:ce6cf794d60e12035a10062ba76e9c19506da4385507d9c699a767d35f034685"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDQZONPIMQNC6IIXRAIK6RFNII/bundle.json","state_url":"https://pith.science/pith/HDQZONPIMQNC6IIXRAIK6RFNII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDQZONPIMQNC6IIXRAIK6RFNII/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":"2026-08-04T10:15:17Z","links":{"resolver":"https://pith.science/pith/HDQZONPIMQNC6IIXRAIK6RFNII","bundle":"https://pith.science/pith/HDQZONPIMQNC6IIXRAIK6RFNII/bundle.json","state":"https://pith.science/pith/HDQZONPIMQNC6IIXRAIK6RFNII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDQZONPIMQNC6IIXRAIK6RFNII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HDQZONPIMQNC6IIXRAIK6RFNII","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":"02a253701de91ffad4fd5abc95ad518947f13b2e36c9ec809d5d3f1e1891ecdf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-25T11:51:42Z","title_canon_sha256":"6b3fd36f509c14d84aaece979547df639aed4dd3d782728c1a4239a3b4d36efb"},"schema_version":"1.0","source":{"id":"2206.12629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.12629","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"2206.12629v1","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.12629","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"HDQZONPIMQNC","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"pith_short_16","alias_value":"HDQZONPIMQNC6IIX","created_at":"2026-07-05T05:22:49Z"},{"alias_kind":"pith_short_8","alias_value":"HDQZONPI","created_at":"2026-07-05T05:22:49Z"}],"graph_snapshots":[{"event_id":"sha256:ce6cf794d60e12035a10062ba76e9c19506da4385507d9c699a767d35f034685","target":"graph","created_at":"2026-07-05T05:22:49Z","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/2206.12629/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a double covering of modular $A_4$ flavor symmetry in which we construct lepton models in cases of canonical seesaw and radiative seesaw models. Through $\\chi$ square numerical analysis, we show some predictions for the cases, depending on normal and inverted hierarchies.","authors_text":"Hiroshi Okada, Yuta Orikasa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-25T11:51:42Z","title":"Lepton mass matrix from double covering of $A_4$ modular flavor symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.12629","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":"sha256:1a46d66d10471ba44c18539e07b3f7820aeb1b8e74d88a69ee65fade5bdd5c69","target":"record","created_at":"2026-07-05T05:22:49Z","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":"02a253701de91ffad4fd5abc95ad518947f13b2e36c9ec809d5d3f1e1891ecdf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-25T11:51:42Z","title_canon_sha256":"6b3fd36f509c14d84aaece979547df639aed4dd3d782728c1a4239a3b4d36efb"},"schema_version":"1.0","source":{"id":"2206.12629","kind":"arxiv","version":1}},"canonical_sha256":"38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38e19735e8641a2f21178810af44ad422b380a4a4f1b763f1ad0e3c2e927884c","first_computed_at":"2026-07-05T05:22:49.040197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:22:49.040197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gkR8YDo6oR0XFk8Wn9EqwP7G+ts4bVJX5bA9wIgLYJ78zzI+FsmN+EJfrRPpy73yA/WPqlF8Dr3+mKYSjB/Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:22:49.040712Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.12629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a46d66d10471ba44c18539e07b3f7820aeb1b8e74d88a69ee65fade5bdd5c69","sha256:ce6cf794d60e12035a10062ba76e9c19506da4385507d9c699a767d35f034685"],"state_sha256":"533bf50c56cf3a0303c21ec6f414c4ce7dbbf65f8b0f5e937531d8003f849cce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vS/n0k1fk8PRe7EruICjnf47ke782w7Fws/U9Y+NibHD2mZKeQ8Cb4dRRUGAYG9ZMYTIw791zrhsys/VLSLaDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T10:15:17.305075Z","bundle_sha256":"0a0699054d22615df965e104302b2941441b15d826f7a1d83bb81f2b85103819"}}