{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:535QK5C22AFAZR6LJ2KMFLAPW7","short_pith_number":"pith:535QK5C2","canonical_record":{"source":{"id":"1111.1087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-04T10:34:11Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"dce28b05ee841ade4ec91cce0cc8f38c151335054e1c03248acbd91a2337d8b6","abstract_canon_sha256":"2499c7fd16d550f97f92b1490ffc627eee35ee26259ed877c25a32b7bf6be5a2"},"schema_version":"1.0"},"canonical_sha256":"eefb05745ad00a0cc7cb4e94c2ac0fb7ccf0124748a34ab56d4fe524aaf214fb","source":{"kind":"arxiv","id":"1111.1087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1087","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1087v1","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1087","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"535QK5C22AFA","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"535QK5C22AFAZR6L","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"535QK5C2","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:535QK5C22AFAZR6LJ2KMFLAPW7","target":"record","payload":{"canonical_record":{"source":{"id":"1111.1087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-04T10:34:11Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"dce28b05ee841ade4ec91cce0cc8f38c151335054e1c03248acbd91a2337d8b6","abstract_canon_sha256":"2499c7fd16d550f97f92b1490ffc627eee35ee26259ed877c25a32b7bf6be5a2"},"schema_version":"1.0"},"canonical_sha256":"eefb05745ad00a0cc7cb4e94c2ac0fb7ccf0124748a34ab56d4fe524aaf214fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:35.788324Z","signature_b64":"/wpi3T0vqdnaNbRkpI5UHI5Evc4zDEOZD3IC8HF6uSXf/Oi5CgMnLe3VrVQjAn4EEN99TcJJIJdWppfSdghwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eefb05745ad00a0cc7cb4e94c2ac0fb7ccf0124748a34ab56d4fe524aaf214fb","last_reissued_at":"2026-05-18T04:09:35.787828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:35.787828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.1087","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":"2026-05-18T04:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9HKV28cUNoDKbxYdtDs55oFPecXS2lNRbUYc3bLwNyiAZp8M44xeMghpKTopCvPBSAGpR6fwMl1r4c2aU58VAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:14:32.636709Z"},"content_sha256":"951c32f02cedcb700b8c7e54b6846a9499c6f57dac5dcdfec978a0a72dfa0083","schema_version":"1.0","event_id":"sha256:951c32f02cedcb700b8c7e54b6846a9499c6f57dac5dcdfec978a0a72dfa0083"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:535QK5C22AFAZR6LJ2KMFLAPW7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.optics","authors_text":"Cristian Mej\\'ia-Cort\\'es, J.M. Soto-Crespo, Mario I. Molina, Rodrigo A. Vicencio","submitted_at":"2011-11-04T10:34:11Z","abstract_excerpt":"By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of stable vortex solitons coexist. All these stationary solutions have a symmetric amplitude profile and two different topological charges. We also discover the dynamical formation of a variety of 'bound-state' solutions, composed of two or more of these vortex solitons. All of these stable composite structures persist in the conservative cubic limit, for high values of their power content."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1087","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":""},"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":"2026-05-18T04:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nm7a+bnDDR+dHVyFbaHbdh7V9qVDaVyLqgVNGA+1huOxUwb4L1vmRg/pYfDXt6+9CyznIzwYLysR5yQNWRBmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:14:32.637424Z"},"content_sha256":"d4613952f042e291e1014c8eb5796cdf7cb56e8afe967cbcce7ec52c2bde0ff0","schema_version":"1.0","event_id":"sha256:d4613952f042e291e1014c8eb5796cdf7cb56e8afe967cbcce7ec52c2bde0ff0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/535QK5C22AFAZR6LJ2KMFLAPW7/bundle.json","state_url":"https://pith.science/pith/535QK5C22AFAZR6LJ2KMFLAPW7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/535QK5C22AFAZR6LJ2KMFLAPW7/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":"2026-05-27T01:14:32Z","links":{"resolver":"https://pith.science/pith/535QK5C22AFAZR6LJ2KMFLAPW7","bundle":"https://pith.science/pith/535QK5C22AFAZR6LJ2KMFLAPW7/bundle.json","state":"https://pith.science/pith/535QK5C22AFAZR6LJ2KMFLAPW7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/535QK5C22AFAZR6LJ2KMFLAPW7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:535QK5C22AFAZR6LJ2KMFLAPW7","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":"2499c7fd16d550f97f92b1490ffc627eee35ee26259ed877c25a32b7bf6be5a2","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-04T10:34:11Z","title_canon_sha256":"dce28b05ee841ade4ec91cce0cc8f38c151335054e1c03248acbd91a2337d8b6"},"schema_version":"1.0","source":{"id":"1111.1087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1087","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1087v1","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1087","created_at":"2026-05-18T04:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"535QK5C22AFA","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"535QK5C22AFAZR6L","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"535QK5C2","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:d4613952f042e291e1014c8eb5796cdf7cb56e8afe967cbcce7ec52c2bde0ff0","target":"graph","created_at":"2026-05-18T04:09:35Z","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":"By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of stable vortex solitons coexist. All these stationary solutions have a symmetric amplitude profile and two different topological charges. We also discover the dynamical formation of a variety of 'bound-state' solutions, composed of two or more of these vortex solitons. All of these stable composite structures persist in the conservative cubic limit, for high values of their power content.","authors_text":"Cristian Mej\\'ia-Cort\\'es, J.M. Soto-Crespo, Mario I. Molina, Rodrigo A. Vicencio","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-04T10:34:11Z","title":"Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1087","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":"sha256:951c32f02cedcb700b8c7e54b6846a9499c6f57dac5dcdfec978a0a72dfa0083","target":"record","created_at":"2026-05-18T04:09:35Z","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":"2499c7fd16d550f97f92b1490ffc627eee35ee26259ed877c25a32b7bf6be5a2","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-11-04T10:34:11Z","title_canon_sha256":"dce28b05ee841ade4ec91cce0cc8f38c151335054e1c03248acbd91a2337d8b6"},"schema_version":"1.0","source":{"id":"1111.1087","kind":"arxiv","version":1}},"canonical_sha256":"eefb05745ad00a0cc7cb4e94c2ac0fb7ccf0124748a34ab56d4fe524aaf214fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eefb05745ad00a0cc7cb4e94c2ac0fb7ccf0124748a34ab56d4fe524aaf214fb","first_computed_at":"2026-05-18T04:09:35.787828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:35.787828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/wpi3T0vqdnaNbRkpI5UHI5Evc4zDEOZD3IC8HF6uSXf/Oi5CgMnLe3VrVQjAn4EEN99TcJJIJdWppfSdghwCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:35.788324Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:951c32f02cedcb700b8c7e54b6846a9499c6f57dac5dcdfec978a0a72dfa0083","sha256:d4613952f042e291e1014c8eb5796cdf7cb56e8afe967cbcce7ec52c2bde0ff0"],"state_sha256":"4d7bd985be92b456574fa00a2ad18849a74db182d46908813cc83eca467b0fa7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y9Tvtl/3QeOhcNrZoTbhJimgXxDNOnRpkQyJgaT0MkdJkOp1BCBIPg4lLtAAJxP1qqP7m32v3JMKHivs2KidDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:14:32.640752Z","bundle_sha256":"329ddb4575079725ff1fa402af849c2e424930345807179305ddd119ff5455b7"}}