{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y2ZBVYAKVGW5HIK7XIT7SAVBSM","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":"f7dfdbb71e9c4fde1fe0918555a57b328421aaa93a8156f22485ad6961021eb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-03-09T09:58:19Z","title_canon_sha256":"7d48b11df8e7c146d6c2678571081a9cbfab04a24214afa734b1dba038a5c0dc"},"schema_version":"1.0","source":{"id":"1803.03441","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03441","created_at":"2026-05-18T00:16:25Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03441v1","created_at":"2026-05-18T00:16:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03441","created_at":"2026-05-18T00:16:25Z"},{"alias_kind":"pith_short_12","alias_value":"Y2ZBVYAKVGW5","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y2ZBVYAKVGW5HIK7","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y2ZBVYAK","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:3fac7357e2a406b9ba59b835e619f7482b5a6ac2c1a0c8f76fe7cf932a64b700","target":"graph","created_at":"2026-05-18T00:16:25Z","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 propose a new mechanism for stabilization of confined modes in lasers and semiconductor microcavities holding exciton-polariton condensates, with spatially uniform linear gain, cubic loss, and cubic self-focusing or defocusing nonlinearity. We demonstrated that the commonly known background instability driven by the linear gain can be suppressed by a combination of a harmonic-oscillator trapping potential and effective diffusion. Systematic numerical analysis of one- and two-dimensional (1D and 2D) versions of the model reveals a variety of stable modes, including stationary ones, breathers","authors_text":"Boris A. Malomed, Dmitry V. Skryabin, Thawatchai Mayteevarunyoo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-03-09T09:58:19Z","title":"One- and two-dimensional modes in the complex Ginzburg-Landau equation with a trapping potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03441","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":"sha256:8e6a14a580014d5fb98018208522bab66773769a242fc94abbed837a2e64f6f3","target":"record","created_at":"2026-05-18T00:16:25Z","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":"f7dfdbb71e9c4fde1fe0918555a57b328421aaa93a8156f22485ad6961021eb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-03-09T09:58:19Z","title_canon_sha256":"7d48b11df8e7c146d6c2678571081a9cbfab04a24214afa734b1dba038a5c0dc"},"schema_version":"1.0","source":{"id":"1803.03441","kind":"arxiv","version":1}},"canonical_sha256":"c6b21ae00aa9add3a15fba27f902a1932b53471e34dfffa7b52373708e97048f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6b21ae00aa9add3a15fba27f902a1932b53471e34dfffa7b52373708e97048f","first_computed_at":"2026-05-18T00:16:25.348580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:25.348580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V17TpQ7Y8TajL6A/XXo+xQNaoqfhAJ60BekWIaMZtFcs/RhQa0PKU4d79O/BLIupzJRNYso+dfRVugxI14ClDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:25.349135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03441","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e6a14a580014d5fb98018208522bab66773769a242fc94abbed837a2e64f6f3","sha256:3fac7357e2a406b9ba59b835e619f7482b5a6ac2c1a0c8f76fe7cf932a64b700"],"state_sha256":"fb003326635219ee902b8bee4ed86103836e6060bb8eb8c58657128eab86c8a3"}