{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:AAD6A7GXMSBJHOOF5EV5MTELEY","short_pith_number":"pith:AAD6A7GX","schema_version":"1.0","canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","source":{"kind":"arxiv","id":"2603.04496","version":2},"attestation_state":"computed","paper":{"title":"Domain Walls from $\\Sigma(36 \\times 3)$, $\\Delta(54)$ and $\\Delta(27)$ potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gon\\c{c}alo Barreto, Ivo de Medeiros Varzielas, Ye-Ling Zhou","submitted_at":"2026-03-04T19:00:02Z","abstract_excerpt":"We consider the degenerate minima arising from scalar potentials invariant under $\\Sigma(36\\times 3)$, or under its subgroups $\\Delta(54)$ and $\\Delta(27)$ (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2603.04496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-03-04T19:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"676cc816283e5b2287b8e993cb91e45c356f846149d55e8fd9a33af1f470e192","abstract_canon_sha256":"360962dc59c5c12ff0d7a82601b259e4bdd6ecb1cacad375f163f80e7e94b48d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:17:35.433285Z","signature_b64":"fuoyPl8umoBPBKkn7pz0IoqJuwtuaobyKbUBYw5U2J3SAN8h4ywSd8zwvJbxjAmJydIR7m6F+QwpHkNd4kM7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0007e07cd7648293b9c5e92bd64c8b2609a0cdba6d6a697a1b3b8332115742e9","last_reissued_at":"2026-06-30T01:17:35.432470Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:17:35.432470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Domain Walls from $\\Sigma(36 \\times 3)$, $\\Delta(54)$ and $\\Delta(27)$ potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gon\\c{c}alo Barreto, Ivo de Medeiros Varzielas, Ye-Ling Zhou","submitted_at":"2026-03-04T19:00:02Z","abstract_excerpt":"We consider the degenerate minima arising from scalar potentials invariant under $\\Sigma(36\\times 3)$, or under its subgroups $\\Delta(54)$ and $\\Delta(27)$ (with or without imposed CP symmetries), for a triplet of those symmetries. In this framework, we classify the distinct Domain Walls between the degenerate minima and calculate the respective tensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.04496","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/2603.04496/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2603.04496","created_at":"2026-06-30T01:17:35.432577+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.04496v2","created_at":"2026-06-30T01:17:35.432577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.04496","created_at":"2026-06-30T01:17:35.432577+00:00"},{"alias_kind":"pith_short_12","alias_value":"AAD6A7GXMSBJ","created_at":"2026-06-30T01:17:35.432577+00:00"},{"alias_kind":"pith_short_16","alias_value":"AAD6A7GXMSBJHOOF","created_at":"2026-06-30T01:17:35.432577+00:00"},{"alias_kind":"pith_short_8","alias_value":"AAD6A7GX","created_at":"2026-06-30T01:17:35.432577+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.22642","citing_title":"Radiative Lifting of $\\mathbb{Z}_3$ Domain-Wall Degeneracy in a Type-III Seesaw Model: Implications for Leptogenesis and Gravitational Waves","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY","json":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY.json","graph_json":"https://pith.science/api/pith-number/AAD6A7GXMSBJHOOF5EV5MTELEY/graph.json","events_json":"https://pith.science/api/pith-number/AAD6A7GXMSBJHOOF5EV5MTELEY/events.json","paper":"https://pith.science/paper/AAD6A7GX"},"agent_actions":{"view_html":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY","download_json":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY.json","view_paper":"https://pith.science/paper/AAD6A7GX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.04496&json=true","fetch_graph":"https://pith.science/api/pith-number/AAD6A7GXMSBJHOOF5EV5MTELEY/graph.json","fetch_events":"https://pith.science/api/pith-number/AAD6A7GXMSBJHOOF5EV5MTELEY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/action/storage_attestation","attest_author":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/action/author_attestation","sign_citation":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/action/citation_signature","submit_replication":"https://pith.science/pith/AAD6A7GXMSBJHOOF5EV5MTELEY/action/replication_record"}},"created_at":"2026-06-30T01:17:35.432577+00:00","updated_at":"2026-06-30T01:17:35.432577+00:00"}