{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2MPVIM5ROQMP7ADUJNW4QPAWSW","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":"538a44fbba664a7f9853af1c4bde7765c7310d2d8659e47749601a6bac4c1d06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-25T00:20:25Z","title_canon_sha256":"c81db907e19ffeb17664bf8cda77b96262dc77f35615fb9f3b2a6913f2e51ec2"},"schema_version":"1.0","source":{"id":"1512.07938","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07938","created_at":"2026-05-18T01:23:43Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07938v1","created_at":"2026-05-18T01:23:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07938","created_at":"2026-05-18T01:23:43Z"},{"alias_kind":"pith_short_12","alias_value":"2MPVIM5ROQMP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2MPVIM5ROQMP7ADU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2MPVIM5R","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:662cd72723052b73da7d7f2288675e3957261f5fee675920bcf940fffd7dab2b","target":"graph","created_at":"2026-05-18T01:23:43Z","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":"Based on modulation instability analysis and generalized Darboux transformation, we derive a hierarchy of rogue wave solutions for a variable-coefficients coupled Hirota equations. The explicit first-order rogue wave solution is presented, and the dark-bright and composite rogue waves with multiple compression points are shown by choosing sufficiently large periodic modulation amplitudes in the coefficients of the coupled equations. Also, the dark-bright and composite Peregrine combs are generated from the multiple compression points. For the second-order case, the darkbright three sisters, ro","authors_text":"Xin Wang, Yong Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-25T00:20:25Z","title":"Modulation instability and controllable rogue waves with multiple compression points for periodically modulated coupled Hirota equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07938","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":"sha256:562be2dea896310459b349699947ed00375143bf5c8ef2efadddeade12a22efb","target":"record","created_at":"2026-05-18T01:23:43Z","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":"538a44fbba664a7f9853af1c4bde7765c7310d2d8659e47749601a6bac4c1d06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-12-25T00:20:25Z","title_canon_sha256":"c81db907e19ffeb17664bf8cda77b96262dc77f35615fb9f3b2a6913f2e51ec2"},"schema_version":"1.0","source":{"id":"1512.07938","kind":"arxiv","version":1}},"canonical_sha256":"d31f5433b17418ff80744b6dc83c1695bb035624066b68b4385607cdd73e8584","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d31f5433b17418ff80744b6dc83c1695bb035624066b68b4385607cdd73e8584","first_computed_at":"2026-05-18T01:23:43.871753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:43.871753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"seBilTlfRg5PZujl3T3HfO0VE/sNU8QS3eG4fEhtaJUqvMj4cIqfL5pVLo6zJkIR4Quv52fuf7Z2NycjapsnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:43.872440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07938","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:562be2dea896310459b349699947ed00375143bf5c8ef2efadddeade12a22efb","sha256:662cd72723052b73da7d7f2288675e3957261f5fee675920bcf940fffd7dab2b"],"state_sha256":"bd29b731a26e5408cafff2a4b4b14452fc0a7406d1366f57fe192bd0bba28970"}