{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:57XTP4UQNEZJNUBPU72ANHT35F","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":"0bb56997517b1f5ab2d0d198abcaeb53f43e44fc8e37486df69d3e68e272b2ce","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-09-08T21:15:11Z","title_canon_sha256":"41151ea0d18b369f22a805e9038a888e8a3e09bbedaea01ae119b26c1d6c7504"},"schema_version":"1.0","source":{"id":"1909.05082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.05082","created_at":"2026-07-05T00:28:23Z"},{"alias_kind":"arxiv_version","alias_value":"1909.05082v1","created_at":"2026-07-05T00:28:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.05082","created_at":"2026-07-05T00:28:23Z"},{"alias_kind":"pith_short_12","alias_value":"57XTP4UQNEZJ","created_at":"2026-07-05T00:28:23Z"},{"alias_kind":"pith_short_16","alias_value":"57XTP4UQNEZJNUBP","created_at":"2026-07-05T00:28:23Z"},{"alias_kind":"pith_short_8","alias_value":"57XTP4UQ","created_at":"2026-07-05T00:28:23Z"}],"graph_snapshots":[{"event_id":"sha256:b7df3bab9b1b75c1b7e74a0d6a62d8e82bc21beae93ec5b79c85838046775f0f","target":"graph","created_at":"2026-07-05T00:28:23Z","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/1909.05082/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It was recently shown [V.V. Cherny, T. Byrnes, A.N. Pyrkov, \\textit{Adv. Quantum Technol.} \\textbf{2019} \\textit{2}, 1800087] that the nonlinear Schrodinger equation with a simplified dissipative perturbation of special kind features a zero-velocity solitonic solution of non-zero amplitude which can be used in analogy to attractors of Hopfield's associative memory. In this work, we consider a more complex dissipative perturbation adding the effect of two-photon absorption and the quintic gain/loss effects that yields formally the complex Ginzburg-Landau equation (CGLE). We construct a perturba","authors_text":"A.N. Pyrkov, T. Byrnes, V.V. Cherny","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-09-08T21:15:11Z","title":"Solitonic fixed point attractors in the complex Ginzburg-Landau equation for associative memories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.05082","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":"sha256:96d836ce0e665eb1ab0ee1f12b2be819f269e21548a40635f67ad461e7412ca4","target":"record","created_at":"2026-07-05T00:28:23Z","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":"0bb56997517b1f5ab2d0d198abcaeb53f43e44fc8e37486df69d3e68e272b2ce","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-09-08T21:15:11Z","title_canon_sha256":"41151ea0d18b369f22a805e9038a888e8a3e09bbedaea01ae119b26c1d6c7504"},"schema_version":"1.0","source":{"id":"1909.05082","kind":"arxiv","version":1}},"canonical_sha256":"efef37f290693296d02fa7f4069e7be96c6b5e20407df936b0e605fb39cf191a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efef37f290693296d02fa7f4069e7be96c6b5e20407df936b0e605fb39cf191a","first_computed_at":"2026-07-05T00:28:23.942483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:28:23.942483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TsUYeGzgUexUMrrlWnytHNoNiAt52+AliJ27FcH2KmCTZsdrtg3OFkZNRZ2G0zohrNvosg3zvwbNA0NR/I+UCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:28:23.943089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.05082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96d836ce0e665eb1ab0ee1f12b2be819f269e21548a40635f67ad461e7412ca4","sha256:b7df3bab9b1b75c1b7e74a0d6a62d8e82bc21beae93ec5b79c85838046775f0f"],"state_sha256":"dd13d43ec028c3fd20bff97dda6a41cb047223b8d0c459d2217e3098e612781f"}