{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:E2PLL253AGBAV77DPRL47YJELS","short_pith_number":"pith:E2PLL253","canonical_record":{"source":{"id":"2202.10089","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-02-21T10:07:28Z","cross_cats_sorted":[],"title_canon_sha256":"f21bf83873a36258663281bddcf5faf5ea7f7f7edb38563a6da627fd502292cd","abstract_canon_sha256":"dbbca24b78bbfdffcbd2e39c721e50484fb7175f076da7862e6bf4a60fda8858"},"schema_version":"1.0"},"canonical_sha256":"269eb5ebbb01820affe37c57cfe1245c8ae21bcaed8d0f97b20179bbb6ffd89c","source":{"kind":"arxiv","id":"2202.10089","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.10089","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"arxiv_version","alias_value":"2202.10089v1","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.10089","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"pith_short_12","alias_value":"E2PLL253AGBA","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"pith_short_16","alias_value":"E2PLL253AGBAV77D","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"pith_short_8","alias_value":"E2PLL253","created_at":"2026-07-05T03:58:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:E2PLL253AGBAV77DPRL47YJELS","target":"record","payload":{"canonical_record":{"source":{"id":"2202.10089","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-02-21T10:07:28Z","cross_cats_sorted":[],"title_canon_sha256":"f21bf83873a36258663281bddcf5faf5ea7f7f7edb38563a6da627fd502292cd","abstract_canon_sha256":"dbbca24b78bbfdffcbd2e39c721e50484fb7175f076da7862e6bf4a60fda8858"},"schema_version":"1.0"},"canonical_sha256":"269eb5ebbb01820affe37c57cfe1245c8ae21bcaed8d0f97b20179bbb6ffd89c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:58:38.710104Z","signature_b64":"fsxnrVHP2PwYv0M9RgpFepl0BaANfg06E1sOdjWQbqAJkA3oVWeMCjLQSn3IgMbtNSVpHvAoK4EZmhGf4hjnBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"269eb5ebbb01820affe37c57cfe1245c8ae21bcaed8d0f97b20179bbb6ffd89c","last_reissued_at":"2026-07-05T03:58:38.709731Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:58:38.709731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.10089","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":"2026-07-05T03:58:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I35fH8P/AhQZT7gSjAAHPQoCzlxFUsH4jomePjXc7TsNVeEf9RfgpCdr3cLqSJLx3IAIVdp2I6tEFROT6jBIDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:58:15.825245Z"},"content_sha256":"eebd78ab2248d8f9ee515747d07faaa62e3b48432b9278ba2aef9681dc78ae25","schema_version":"1.0","event_id":"sha256:eebd78ab2248d8f9ee515747d07faaa62e3b48432b9278ba2aef9681dc78ae25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:E2PLL253AGBAV77DPRL47YJELS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radiative neutrino masses from modular $A_4$ symmetry and supersymmetry breaking","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hajime Otsuka, Hiroshi Okada","submitted_at":"2022-02-21T10:07:28Z","abstract_excerpt":"We investigate a modular $A_4$ invariant two-loop neutrino mass model in a supersymmetric framework, where we introduce new fields as minimum as possible, expecting contributions of superpartners to the neutrino masses. We successfully reproduce the neutrino oscillation data thanks to the superpartner contributions in case of normal hierarchy, and predict several observables such as phases and neutrino masses, concentrating on three specific regions at nearby fixed points of modulus $\\tau=i,\\omega,i\\times \\infty$, where $\\omega\\equiv e^{2\\pi i/3}$. These points are statistically favored in flu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.10089","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/2202.10089/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":"2026-07-05T03:58:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qn7YL+C7njK3oMBnlMCuEpKWRjacwWns0SH6rq3fO4wHxDKIx//qqeUhhPEuMEQSskgKvDwOoX0OVIUcy4RwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:58:15.826214Z"},"content_sha256":"890ed7b378688706a03c7af3876211091f470e93fca387695147dc7edfff3327","schema_version":"1.0","event_id":"sha256:890ed7b378688706a03c7af3876211091f470e93fca387695147dc7edfff3327"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2PLL253AGBAV77DPRL47YJELS/bundle.json","state_url":"https://pith.science/pith/E2PLL253AGBAV77DPRL47YJELS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2PLL253AGBAV77DPRL47YJELS/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":"2026-08-04T07:58:15Z","links":{"resolver":"https://pith.science/pith/E2PLL253AGBAV77DPRL47YJELS","bundle":"https://pith.science/pith/E2PLL253AGBAV77DPRL47YJELS/bundle.json","state":"https://pith.science/pith/E2PLL253AGBAV77DPRL47YJELS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2PLL253AGBAV77DPRL47YJELS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:E2PLL253AGBAV77DPRL47YJELS","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":"dbbca24b78bbfdffcbd2e39c721e50484fb7175f076da7862e6bf4a60fda8858","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-02-21T10:07:28Z","title_canon_sha256":"f21bf83873a36258663281bddcf5faf5ea7f7f7edb38563a6da627fd502292cd"},"schema_version":"1.0","source":{"id":"2202.10089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.10089","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"arxiv_version","alias_value":"2202.10089v1","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.10089","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"pith_short_12","alias_value":"E2PLL253AGBA","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"pith_short_16","alias_value":"E2PLL253AGBAV77D","created_at":"2026-07-05T03:58:38Z"},{"alias_kind":"pith_short_8","alias_value":"E2PLL253","created_at":"2026-07-05T03:58:38Z"}],"graph_snapshots":[{"event_id":"sha256:890ed7b378688706a03c7af3876211091f470e93fca387695147dc7edfff3327","target":"graph","created_at":"2026-07-05T03:58:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2202.10089/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a modular $A_4$ invariant two-loop neutrino mass model in a supersymmetric framework, where we introduce new fields as minimum as possible, expecting contributions of superpartners to the neutrino masses. We successfully reproduce the neutrino oscillation data thanks to the superpartner contributions in case of normal hierarchy, and predict several observables such as phases and neutrino masses, concentrating on three specific regions at nearby fixed points of modulus $\\tau=i,\\omega,i\\times \\infty$, where $\\omega\\equiv e^{2\\pi i/3}$. These points are statistically favored in flu","authors_text":"Hajime Otsuka, Hiroshi Okada","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-02-21T10:07:28Z","title":"Radiative neutrino masses from modular $A_4$ symmetry and supersymmetry breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.10089","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:eebd78ab2248d8f9ee515747d07faaa62e3b48432b9278ba2aef9681dc78ae25","target":"record","created_at":"2026-07-05T03:58:38Z","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":"dbbca24b78bbfdffcbd2e39c721e50484fb7175f076da7862e6bf4a60fda8858","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-02-21T10:07:28Z","title_canon_sha256":"f21bf83873a36258663281bddcf5faf5ea7f7f7edb38563a6da627fd502292cd"},"schema_version":"1.0","source":{"id":"2202.10089","kind":"arxiv","version":1}},"canonical_sha256":"269eb5ebbb01820affe37c57cfe1245c8ae21bcaed8d0f97b20179bbb6ffd89c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"269eb5ebbb01820affe37c57cfe1245c8ae21bcaed8d0f97b20179bbb6ffd89c","first_computed_at":"2026-07-05T03:58:38.709731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:58:38.709731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fsxnrVHP2PwYv0M9RgpFepl0BaANfg06E1sOdjWQbqAJkA3oVWeMCjLQSn3IgMbtNSVpHvAoK4EZmhGf4hjnBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:58:38.710104Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.10089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eebd78ab2248d8f9ee515747d07faaa62e3b48432b9278ba2aef9681dc78ae25","sha256:890ed7b378688706a03c7af3876211091f470e93fca387695147dc7edfff3327"],"state_sha256":"59202bdc38b134b600f6f90a2451e564c7bbed443ebe3209217fc96200efe7d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6zaSrthgQkfDbErFtjQ9FyoSx7gHdjyhSKni+LyqFgtqWGNRc6FXmYEZMkOf3q2A3Gvwg7h206+xRoGM3TJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:58:15.830291Z","bundle_sha256":"59f3d9762ff6f49cae1cfac9425a21803a64d7164e8437cc1f0fd0ba215e0844"}}