{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:57XTP4UQNEZJNUBPU72ANHT35F","short_pith_number":"pith:57XTP4UQ","canonical_record":{"source":{"id":"1909.05082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-09-08T21:15:11Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"41151ea0d18b369f22a805e9038a888e8a3e09bbedaea01ae119b26c1d6c7504","abstract_canon_sha256":"0bb56997517b1f5ab2d0d198abcaeb53f43e44fc8e37486df69d3e68e272b2ce"},"schema_version":"1.0"},"canonical_sha256":"efef37f290693296d02fa7f4069e7be96c6b5e20407df936b0e605fb39cf191a","source":{"kind":"arxiv","id":"1909.05082","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:57XTP4UQNEZJNUBPU72ANHT35F","target":"record","payload":{"canonical_record":{"source":{"id":"1909.05082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-09-08T21:15:11Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"41151ea0d18b369f22a805e9038a888e8a3e09bbedaea01ae119b26c1d6c7504","abstract_canon_sha256":"0bb56997517b1f5ab2d0d198abcaeb53f43e44fc8e37486df69d3e68e272b2ce"},"schema_version":"1.0"},"canonical_sha256":"efef37f290693296d02fa7f4069e7be96c6b5e20407df936b0e605fb39cf191a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:28:23.943089Z","signature_b64":"TsUYeGzgUexUMrrlWnytHNoNiAt52+AliJ27FcH2KmCTZsdrtg3OFkZNRZ2G0zohrNvosg3zvwbNA0NR/I+UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efef37f290693296d02fa7f4069e7be96c6b5e20407df936b0e605fb39cf191a","last_reissued_at":"2026-07-05T00:28:23.942483Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:28:23.942483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.05082","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:28:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9u5nlRLyQlk4DmGPAL6LxKZcfpFFaRR91YVQhc5ZI2Fqq2z2GmXcnqOwKhNdEO6fnDFX1AQS85zGT8+eRvVXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:55:02.363458Z"},"content_sha256":"96d836ce0e665eb1ab0ee1f12b2be819f269e21548a40635f67ad461e7412ca4","schema_version":"1.0","event_id":"sha256:96d836ce0e665eb1ab0ee1f12b2be819f269e21548a40635f67ad461e7412ca4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:57XTP4UQNEZJNUBPU72ANHT35F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solitonic fixed point attractors in the complex Ginzburg-Landau equation for associative memories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"nlin.PS","authors_text":"A.N. Pyrkov, T. Byrnes, V.V. Cherny","submitted_at":"2019-09-08T21:15:11Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.05082","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.05082/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:28:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MAj6iZ7dXgW7wu7MzbF4BvkhgKjAX0SoDJblvHO/VZn07P6rLBf73JuycSBQdA3kl0htYqtB1QwFabjyiQLhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:55:02.364094Z"},"content_sha256":"b7df3bab9b1b75c1b7e74a0d6a62d8e82bc21beae93ec5b79c85838046775f0f","schema_version":"1.0","event_id":"sha256:b7df3bab9b1b75c1b7e74a0d6a62d8e82bc21beae93ec5b79c85838046775f0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57XTP4UQNEZJNUBPU72ANHT35F/bundle.json","state_url":"https://pith.science/pith/57XTP4UQNEZJNUBPU72ANHT35F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57XTP4UQNEZJNUBPU72ANHT35F/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T12:55:02Z","links":{"resolver":"https://pith.science/pith/57XTP4UQNEZJNUBPU72ANHT35F","bundle":"https://pith.science/pith/57XTP4UQNEZJNUBPU72ANHT35F/bundle.json","state":"https://pith.science/pith/57XTP4UQNEZJNUBPU72ANHT35F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57XTP4UQNEZJNUBPU72ANHT35F/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fPXIVJ/lxJfynJ0NVkQp9hen6aT3kIYU/TRTJ7D73evZZFe+glxDDCR2M6ikaeZhvGbGP0VReENpTCsHk1FWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T12:55:02.367336Z","bundle_sha256":"bff2d1279c383f7502653f407bb6e56a0e0fda7eed83cdf7f0066a075a8eccca"}}