{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4YS4FEQ7F4A3YZQ7CXQZSHODH6","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":"cfb22473feba22410a151eeb55679baaad829c83181c87e3a6617edcea4ac77c","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-06-10T14:23:46Z","title_canon_sha256":"38c871d3d338886447c9bfdd19716bc7157791f706b64dfb3bafea9df5dd78b6"},"schema_version":"1.0","source":{"id":"2406.06308","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.06308","created_at":"2026-07-05T09:08:13Z"},{"alias_kind":"arxiv_version","alias_value":"2406.06308v2","created_at":"2026-07-05T09:08:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06308","created_at":"2026-07-05T09:08:13Z"},{"alias_kind":"pith_short_12","alias_value":"4YS4FEQ7F4A3","created_at":"2026-07-05T09:08:13Z"},{"alias_kind":"pith_short_16","alias_value":"4YS4FEQ7F4A3YZQ7","created_at":"2026-07-05T09:08:13Z"},{"alias_kind":"pith_short_8","alias_value":"4YS4FEQ7","created_at":"2026-07-05T09:08:13Z"}],"graph_snapshots":[{"event_id":"sha256:bcad23eb2539e3cf8e07328078a38d2bc8074c5b842b949819774a8783925a58","target":"graph","created_at":"2026-07-05T09:08:13Z","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/2406.06308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the appearance of topological structures from the spontaneous breaking of $E_6$ to the Standard Model via its maximal subgroup $SO(10) \\times U(1)_\\psi$. They include dumbbells, metastable strings, as well as domain walls bounded by necklaces. We provide a novel scenario for producing metastable strings based on the symmetry breaking $U(1)_\\psi \\longrightarrow Z_8 \\longrightarrow Z_4$. The metastable string arises from the merger of $Z_8$ strings that bound a domain wall. An unbroken gauge $Z_2$ symmetry from $SO(10)$ breaking yields viable stable dark matter candidates as well as t","authors_text":"Amit Tiwari, Qaisar Shafi, Rinku Maji","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-06-10T14:23:46Z","title":"Topological structures, dark matter and gravitational waves in $E_6$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06308","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:cd4fd64e9bebc31314c693d65e96e5c9b062ec2222661029b75939fb65157527","target":"record","created_at":"2026-07-05T09:08:13Z","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":"cfb22473feba22410a151eeb55679baaad829c83181c87e3a6617edcea4ac77c","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-06-10T14:23:46Z","title_canon_sha256":"38c871d3d338886447c9bfdd19716bc7157791f706b64dfb3bafea9df5dd78b6"},"schema_version":"1.0","source":{"id":"2406.06308","kind":"arxiv","version":2}},"canonical_sha256":"e625c2921f2f01bc661f15e1991dc33fbe6c0b35c710d5a32ecc26434f601498","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e625c2921f2f01bc661f15e1991dc33fbe6c0b35c710d5a32ecc26434f601498","first_computed_at":"2026-07-05T09:08:13.536630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:08:13.536630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o5AVkuIzb8iEAlLSiSvwa9czEG36mTw2z6nIj8v2cz4cAc03uMfcnvvjukLDoPndiF5Jcr6HkRJhBfxOsxNjAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:08:13.537174Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.06308","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd4fd64e9bebc31314c693d65e96e5c9b062ec2222661029b75939fb65157527","sha256:bcad23eb2539e3cf8e07328078a38d2bc8074c5b842b949819774a8783925a58"],"state_sha256":"ee81173831711460ec7033fdd93e770d6f706a7bb5bf8da1cecbc9a79423a98f"}