{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5GJHNZKUN52CKC4LWWBONF2V4Z","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":"cb7fb805fd2416c6801677e164cdd8047091c29c898f0bafbb19fad3f6af6cdc","cross_cats_sorted":["nlin.PS"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-12-21T19:30:40Z","title_canon_sha256":"a24e68b649f2fe455998fd979a4b13d409de9d4ee367fbde4b434827cdb03e88"},"schema_version":"1.0","source":{"id":"1212.5568","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5568","created_at":"2026-05-18T01:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5568v1","created_at":"2026-05-18T01:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5568","created_at":"2026-05-18T01:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"5GJHNZKUN52C","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5GJHNZKUN52CKC4L","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5GJHNZKU","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:788977064dda5f4357c3757aeecf7487b0f9f50a3ef7e3b5553bb9c115271934","target":"graph","created_at":"2026-05-18T01:52:29Z","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"},"paper":{"abstract_excerpt":"We study effects of the spontaneous symmetry-breaking (SSB) in solitons built of the dipolar Bose-Einstein condensate (BEC), trapped in a dual-core system with the dipole-dipole interactions (DDIs) and hopping between the cores. Two realizations of such a matter-wave coupler are introduced, weakly- and strongly-coupled. The former one in based on two parallel pipe-shaped traps, while the latter one is represented by a single pipe sliced by an external field into parallel layers. The dipoles are oriented along axes of the pipes. In these systems, the dual-core solitons feature the SSB of the su","authors_text":"Boris A. Malomed, Jingfeng Liu, Wei Pang, Yongyao Li","cross_cats":["nlin.PS"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-12-21T19:30:40Z","title":"Symmetry breaking in dipolar matter-wave solitons in dual-core couplers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5568","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":"sha256:990943a5b8382962b519a005b0bdb2f19152c5ead3c7cdc2b8f51eec15b500f5","target":"record","created_at":"2026-05-18T01:52:29Z","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":"cb7fb805fd2416c6801677e164cdd8047091c29c898f0bafbb19fad3f6af6cdc","cross_cats_sorted":["nlin.PS"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-12-21T19:30:40Z","title_canon_sha256":"a24e68b649f2fe455998fd979a4b13d409de9d4ee367fbde4b434827cdb03e88"},"schema_version":"1.0","source":{"id":"1212.5568","kind":"arxiv","version":1}},"canonical_sha256":"e99276e5546f74250b8bb582e69755e67cba3b6114c14743f65c870ba8410349","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e99276e5546f74250b8bb582e69755e67cba3b6114c14743f65c870ba8410349","first_computed_at":"2026-05-18T01:52:29.098863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:29.098863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1iyNRSPF1VxXXkJ+jFhLDOJYtASPWEPZiZpb1HghYuLRoX6/JC8rZtxM3jPLOSO1L4Iz1rXs2k3qTqLVWUifBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:29.099482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5568","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:990943a5b8382962b519a005b0bdb2f19152c5ead3c7cdc2b8f51eec15b500f5","sha256:788977064dda5f4357c3757aeecf7487b0f9f50a3ef7e3b5553bb9c115271934"],"state_sha256":"3a1192e90baa45af06fb58f361d49a0b439835d6eebad20e68fec1f2fc2aaf3c"}