{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QYILYGDUKFUETLME4ND4TP6SBA","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":"05c88063bebce4f112b70f2bf840c35dacd93019fcf91e66c2de8ccf70d4acc3","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2025-07-21T23:46:58Z","title_canon_sha256":"44ecf478cf9dee7a36aa90c88f961227595b95675e6429ccde81bf655d3cc6de"},"schema_version":"1.0","source":{"id":"2507.16111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.16111","created_at":"2026-07-05T11:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"2507.16111v1","created_at":"2026-07-05T11:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.16111","created_at":"2026-07-05T11:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"QYILYGDUKFUE","created_at":"2026-07-05T11:41:03Z"},{"alias_kind":"pith_short_16","alias_value":"QYILYGDUKFUETLME","created_at":"2026-07-05T11:41:03Z"},{"alias_kind":"pith_short_8","alias_value":"QYILYGDU","created_at":"2026-07-05T11:41:03Z"}],"graph_snapshots":[{"event_id":"sha256:fe66d3c698313aa65d040c4f0f541ba0456fc58176b7a608b9a0d4f800158331","target":"graph","created_at":"2026-07-05T11:41:03Z","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/2507.16111/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a model governing the copropagation of two components which represent circular polarizations of light in the optical fiber with relative strength g = 2 of the nonlinear repulsion between the components, and linear coupling between them. A more general system of coupled Gross-Pitaevskii (GP) equations, with g =/= 2 and the linear mixing between the components, is considered too. The latter system is introduced in its one- and two-dimensional (1D and 2D) forms. A new finding is the spontaneous symmetry breaking (SSB) of bimodal CW (continuous-wave) states in the case of g > 1 (in th","authors_text":"Boris A. Malomed, Hidetsugu Sakaguchi","cross_cats":["cond-mat.quant-gas","physics.optics"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2025-07-21T23:46:58Z","title":"Spontaneous symmetry breaking in continuous waves, dark solitons, and vortices in linearly coupled bimodal systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.16111","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":"sha256:3d917b8103f1cb8bf488fca19c02809fc6d52e8d75da5808951d195134b6bfab","target":"record","created_at":"2026-07-05T11:41:03Z","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":"05c88063bebce4f112b70f2bf840c35dacd93019fcf91e66c2de8ccf70d4acc3","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2025-07-21T23:46:58Z","title_canon_sha256":"44ecf478cf9dee7a36aa90c88f961227595b95675e6429ccde81bf655d3cc6de"},"schema_version":"1.0","source":{"id":"2507.16111","kind":"arxiv","version":1}},"canonical_sha256":"8610bc1874516849ad84e347c9bfd2081460aacac6c52e62c486467795f90bc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8610bc1874516849ad84e347c9bfd2081460aacac6c52e62c486467795f90bc2","first_computed_at":"2026-07-05T11:41:03.196238Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:03.196238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lRE34Nzd2i/G88WxaJyzdwYzikdOFplaxmlyWBqrHQQ1lJoAsjhKQDzfSekKe/WdszcoNSw+4rrXT8kRpYAaCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:03.196895Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.16111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d917b8103f1cb8bf488fca19c02809fc6d52e8d75da5808951d195134b6bfab","sha256:fe66d3c698313aa65d040c4f0f541ba0456fc58176b7a608b9a0d4f800158331"],"state_sha256":"bc8b739a932931b809645001891c8179cb9104c5ce5328a7acddfa301b830e16"}