{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HJOSAHHHB43F47IPDTLB6RSHDP","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":"abb99f0c8579d5968b715174e2d9392ab62158e7075368303b9e3cdfeeef4b40","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-10T12:53:41Z","title_canon_sha256":"74777e9c802f4d4cf23d4bd0b6235da5451b5bc5a069f5a186eb6615c732df43"},"schema_version":"1.0","source":{"id":"2111.05674","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.05674","created_at":"2026-07-05T03:31:32Z"},{"alias_kind":"arxiv_version","alias_value":"2111.05674v2","created_at":"2026-07-05T03:31:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.05674","created_at":"2026-07-05T03:31:32Z"},{"alias_kind":"pith_short_12","alias_value":"HJOSAHHHB43F","created_at":"2026-07-05T03:31:32Z"},{"alias_kind":"pith_short_16","alias_value":"HJOSAHHHB43F47IP","created_at":"2026-07-05T03:31:32Z"},{"alias_kind":"pith_short_8","alias_value":"HJOSAHHH","created_at":"2026-07-05T03:31:32Z"}],"graph_snapshots":[{"event_id":"sha256:3aec2d82fb64cb2b9afedf449ca2bb673e9ecb262742f8f221d72c8502e1e568","target":"graph","created_at":"2026-07-05T03:31:32Z","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/2111.05674/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new mechanism of stabilization for dark matter under fixed points of modular $A_4$ symmetry, thanks to recovering a residual symmetry for each of fixed points at $\\tau=\\omega,\\ i, i\\times\\infty$. We find that a model at $\\tau =i$ successfully reproduces the neutrino oscillation data without conflict of the DM stability.","authors_text":"Hiroshi Okada, Tatsuo Kobayashi, Yuta Orikasa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-10T12:53:41Z","title":"Dark matter stability at fixed points in a modular $A_4$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.05674","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":"sha256:7ae4039e38df4f3e5722e395569fc70bc05cf4ceff30a2802d850427d7655023","target":"record","created_at":"2026-07-05T03:31:32Z","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":"abb99f0c8579d5968b715174e2d9392ab62158e7075368303b9e3cdfeeef4b40","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-11-10T12:53:41Z","title_canon_sha256":"74777e9c802f4d4cf23d4bd0b6235da5451b5bc5a069f5a186eb6615c732df43"},"schema_version":"1.0","source":{"id":"2111.05674","kind":"arxiv","version":2}},"canonical_sha256":"3a5d201ce70f365e7d0f1cd61f46471bedc94e2ec29884c17cfaeb33afea4c5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a5d201ce70f365e7d0f1cd61f46471bedc94e2ec29884c17cfaeb33afea4c5d","first_computed_at":"2026-07-05T03:31:32.469784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:31:32.469784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8mZ0fZYFmelG7zLnOQ9SWLr27JaBGhO6P1j4uUEL8u6IyU3lvsNC3S4evV8p9dD3zWj8XttYdCFzukEQpz/NBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:31:32.470111Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.05674","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ae4039e38df4f3e5722e395569fc70bc05cf4ceff30a2802d850427d7655023","sha256:3aec2d82fb64cb2b9afedf449ca2bb673e9ecb262742f8f221d72c8502e1e568"],"state_sha256":"61b7e460c3cc8c9fdbd4a43bade53e5aa44c25ad0afa4be16c1d5cee179b559e"}