{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AGV4ORBAU3ABVHDIYIOLINUT7D","short_pith_number":"pith:AGV4ORBA","canonical_record":{"source":{"id":"1912.13284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-12-31T12:13:26Z","cross_cats_sorted":[],"title_canon_sha256":"85732b4f5943875701c7184370cf7c1610fdf08f6b478a89946aca167c8c72b9","abstract_canon_sha256":"b616814486a5c3534d2fa67b63a5ba042182bb6443a5a388810c7e7abfc3b0ed"},"schema_version":"1.0"},"canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","source":{"kind":"arxiv","id":"1912.13284","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.13284","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"arxiv_version","alias_value":"1912.13284v2","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.13284","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"pith_short_12","alias_value":"AGV4ORBAU3AB","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"pith_short_16","alias_value":"AGV4ORBAU3ABVHDI","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"pith_short_8","alias_value":"AGV4ORBA","created_at":"2026-07-05T01:29:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AGV4ORBAU3ABVHDIYIOLINUT7D","target":"record","payload":{"canonical_record":{"source":{"id":"1912.13284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-12-31T12:13:26Z","cross_cats_sorted":[],"title_canon_sha256":"85732b4f5943875701c7184370cf7c1610fdf08f6b478a89946aca167c8c72b9","abstract_canon_sha256":"b616814486a5c3534d2fa67b63a5ba042182bb6443a5a388810c7e7abfc3b0ed"},"schema_version":"1.0"},"canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:29:48.286614Z","signature_b64":"OtnZqWLaRhQtvgiGYIwF6nXv/Vdh3gQad+pVpqL13amvle+m8BmKgpK6P/DoyD24zUbevpRkuug5m6y35pinAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","last_reissued_at":"2026-07-05T01:29:48.286196Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:29:48.286196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.13284","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":"2026-07-05T01:29:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctdeL1VP/CtCAQqrQ00k0P8Pjtu1bjkjSN2GIRHlcFlb0YvVsWvJg+iab+IyLTBL/7V+ab++ZTJEBvz+lMQ0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:45:47.648556Z"},"content_sha256":"73eceabe1f1a381867e62961f2f0f31af1e7ee54e4a64612d1dad475ce330a69","schema_version":"1.0","event_id":"sha256:73eceabe1f1a381867e62961f2f0f31af1e7ee54e4a64612d1dad475ce330a69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AGV4ORBAU3ABVHDIYIOLINUT7D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Xin Wang","submitted_at":"2019-12-31T12:13:26Z","abstract_excerpt":"In this paper, we study the implications of the modular $A^{}_4$ flavor symmetry in constructing a supersymmetric minimal type-(I+II) seesaw model, in which only one right-handed neutrino and two Higgs triplets are introduced to account for the tiny neutrino masses, flavor mixing and CP violation. The right-handed neutrino as well as the Higgs triplets in this model are assigned into the trivial one-dimensional irreducible representation of the modular group $A^{}_{4}$. We show that the individual contributions to the neutrino masses from the right-handed neutrino and the Higgs triplet are com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.13284","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/1912.13284/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":"2026-07-05T01:29:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+nCEUtIp47U570E/tYdIt/Zs3VMc+DxPvbjgZ0zJxdAZs1miSENPtyK8YIK0eC5adhmARu+DEiDxuAzh0htQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:45:47.649477Z"},"content_sha256":"8d9f3d987d0d911fa36819835171b16046cd71a72af9bac67c70295558b3ac11","schema_version":"1.0","event_id":"sha256:8d9f3d987d0d911fa36819835171b16046cd71a72af9bac67c70295558b3ac11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/bundle.json","state_url":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/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":"2026-08-04T00:45:47Z","links":{"resolver":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D","bundle":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/bundle.json","state":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AGV4ORBAU3ABVHDIYIOLINUT7D","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":"b616814486a5c3534d2fa67b63a5ba042182bb6443a5a388810c7e7abfc3b0ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-12-31T12:13:26Z","title_canon_sha256":"85732b4f5943875701c7184370cf7c1610fdf08f6b478a89946aca167c8c72b9"},"schema_version":"1.0","source":{"id":"1912.13284","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.13284","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"arxiv_version","alias_value":"1912.13284v2","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.13284","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"pith_short_12","alias_value":"AGV4ORBAU3AB","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"pith_short_16","alias_value":"AGV4ORBAU3ABVHDI","created_at":"2026-07-05T01:29:48Z"},{"alias_kind":"pith_short_8","alias_value":"AGV4ORBA","created_at":"2026-07-05T01:29:48Z"}],"graph_snapshots":[{"event_id":"sha256:8d9f3d987d0d911fa36819835171b16046cd71a72af9bac67c70295558b3ac11","target":"graph","created_at":"2026-07-05T01:29:48Z","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/1912.13284/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the implications of the modular $A^{}_4$ flavor symmetry in constructing a supersymmetric minimal type-(I+II) seesaw model, in which only one right-handed neutrino and two Higgs triplets are introduced to account for the tiny neutrino masses, flavor mixing and CP violation. The right-handed neutrino as well as the Higgs triplets in this model are assigned into the trivial one-dimensional irreducible representation of the modular group $A^{}_{4}$. We show that the individual contributions to the neutrino masses from the right-handed neutrino and the Higgs triplet are com","authors_text":"Xin Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-12-31T12:13:26Z","title":"Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.13284","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":"sha256:73eceabe1f1a381867e62961f2f0f31af1e7ee54e4a64612d1dad475ce330a69","target":"record","created_at":"2026-07-05T01:29:48Z","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":"b616814486a5c3534d2fa67b63a5ba042182bb6443a5a388810c7e7abfc3b0ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-12-31T12:13:26Z","title_canon_sha256":"85732b4f5943875701c7184370cf7c1610fdf08f6b478a89946aca167c8c72b9"},"schema_version":"1.0","source":{"id":"1912.13284","kind":"arxiv","version":2}},"canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","first_computed_at":"2026-07-05T01:29:48.286196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:29:48.286196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OtnZqWLaRhQtvgiGYIwF6nXv/Vdh3gQad+pVpqL13amvle+m8BmKgpK6P/DoyD24zUbevpRkuug5m6y35pinAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:29:48.286614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.13284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73eceabe1f1a381867e62961f2f0f31af1e7ee54e4a64612d1dad475ce330a69","sha256:8d9f3d987d0d911fa36819835171b16046cd71a72af9bac67c70295558b3ac11"],"state_sha256":"e2e890a244c4cbaf0b53ee28449f7e45c4745ece238c6c38b77c1a375dd8513b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"suehUecuV7GBI6bFIXq5OmHHzrGf5OVzpy9P4o+t7sLQ9raNFdTrBDzOljqE7Zzzx+EXzrm8G+MWqya7TYYxBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:45:47.654641Z","bundle_sha256":"abdcbd436997b52780ef4925695bc455feb2ffca4cb4fbfa548eea7ed7b5779a"}}