{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:M23MSOICY7RO6CDRJHCDBPOIJM","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":"b5592ae53b20b3a22c1213a803ef9b136097c1dd9df84a69b07d92417f949ad9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-03-24T02:43:47Z","title_canon_sha256":"cfd3ba898b6a1bc203f7056046ce6c6cc7b5785ef8dd44c9459282e90a1c9c96"},"schema_version":"1.0","source":{"id":"1103.4668","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4668","created_at":"2026-05-18T02:02:47Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4668v1","created_at":"2026-05-18T02:02:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4668","created_at":"2026-05-18T02:02:47Z"},{"alias_kind":"pith_short_12","alias_value":"M23MSOICY7RO","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"M23MSOICY7RO6CDR","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"M23MSOIC","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:5f815b34eac3a5e11e349b64dca1ca6d37658d386ea2855eb769a718db9351a5","target":"graph","created_at":"2026-05-18T02:02:47Z","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":"The complex Ginzburg Landau equation (CGLE) is a ubiquitous model for the evolution of slowly varying wave packets in nonlinear dissipative media. A front (shock) is a transient layer between a plane-wave state and a zero background. We report exact solutions for domain walls, i.e., pairs of fronts with opposite polarities, in a system of two coupled CGLEs, which describe transient layers between semi-infinite domains occupied by each component in the absence of the other one. For this purpose, a modified Hirota bilinear operator, first proposed by Bekki and Nozaki, is employed. A novel factor","authors_text":"Alan Cheng Hou Tsang, Boris Malomed, Kwok Wing Chow, Tat Leung Yee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-03-24T02:43:47Z","title":"Exact Solutions for Domain Walls in Coupled Complex Ginzburg - Landau Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4668","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:eaf33a4f075b10819d16c785b76d0fe4ccbc256770212882daddd4bfcf7b08b2","target":"record","created_at":"2026-05-18T02:02:47Z","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":"b5592ae53b20b3a22c1213a803ef9b136097c1dd9df84a69b07d92417f949ad9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-03-24T02:43:47Z","title_canon_sha256":"cfd3ba898b6a1bc203f7056046ce6c6cc7b5785ef8dd44c9459282e90a1c9c96"},"schema_version":"1.0","source":{"id":"1103.4668","kind":"arxiv","version":1}},"canonical_sha256":"66b6c93902c7e2ef087149c430bdc84b1405ff1ae8b35de898282fe928e979a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66b6c93902c7e2ef087149c430bdc84b1405ff1ae8b35de898282fe928e979a5","first_computed_at":"2026-05-18T02:02:47.463262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:47.463262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KFnHwtQqCL7ircyjzGpuFMDlmKz+HCaau5DB0IPovD8x/xN1xtSB6vYHAItUbJR/nZqfYjct80tuVm3SLZVyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:47.463897Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4668","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eaf33a4f075b10819d16c785b76d0fe4ccbc256770212882daddd4bfcf7b08b2","sha256:5f815b34eac3a5e11e349b64dca1ca6d37658d386ea2855eb769a718db9351a5"],"state_sha256":"0b569726305e7ba31e6e02cddd91818eeaeae8c06d6de588f7691bc01e6c47bf"}