{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:G2P7CXFYTI445HZIMEQQJAS2S3","short_pith_number":"pith:G2P7CXFY","schema_version":"1.0","canonical_sha256":"369ff15cb89a39ce9f28612104825a96e401e303b1677f2fcb5c510c44bb4598","source":{"kind":"arxiv","id":"1105.5769","version":1},"attestation_state":"computed","paper":{"title":"Spatiotemporal vortex solitons in hexagonal arrays of waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"B.A. Malomed, D. Mihalache, H. Leblond","submitted_at":"2011-05-29T09:12:56Z","abstract_excerpt":"By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of parallel linearly-coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give rise to three species of stable semi-discrete complexes (which are continuous in the longitudinal direction), with embedded vorticity S: triangular modes with S=1, hexagonal ones with S=2, both centered around an empty central core, and compact triangles with S=1, which do not not include the empty site. Collisions between stable triangular vortices are studied too. These waveguiding lattices can be realized in op"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1105.5769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-29T09:12:56Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"91e2b70316ed9f2e2e1657c9de098bb35893094e2b17c3d99b5a7877198c7e35","abstract_canon_sha256":"08f9ce93b766cad976fc901e32027942ee570f3dbe54ae018db948638e67fab0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:46.648839Z","signature_b64":"7VOMzzhPF42cy2906FeI2GhIw1IClPrx4aJhcgCPBcWiyhfQZSZujY6NqZRLs94XHlvZe1ULVwBg8SBZsg3RDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"369ff15cb89a39ce9f28612104825a96e401e303b1677f2fcb5c510c44bb4598","last_reissued_at":"2026-05-18T02:01:46.648053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:46.648053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spatiotemporal vortex solitons in hexagonal arrays of waveguides","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"B.A. Malomed, D. Mihalache, H. Leblond","submitted_at":"2011-05-29T09:12:56Z","abstract_excerpt":"By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of parallel linearly-coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give rise to three species of stable semi-discrete complexes (which are continuous in the longitudinal direction), with embedded vorticity S: triangular modes with S=1, hexagonal ones with S=2, both centered around an empty central core, and compact triangles with S=1, which do not not include the empty site. Collisions between stable triangular vortices are studied too. These waveguiding lattices can be realized in op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5769","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1105.5769","created_at":"2026-05-18T02:01:46.648182+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.5769v1","created_at":"2026-05-18T02:01:46.648182+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5769","created_at":"2026-05-18T02:01:46.648182+00:00"},{"alias_kind":"pith_short_12","alias_value":"G2P7CXFYTI44","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"G2P7CXFYTI445HZI","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"G2P7CXFY","created_at":"2026-05-18T12:26:28.662955+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3","json":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3.json","graph_json":"https://pith.science/api/pith-number/G2P7CXFYTI445HZIMEQQJAS2S3/graph.json","events_json":"https://pith.science/api/pith-number/G2P7CXFYTI445HZIMEQQJAS2S3/events.json","paper":"https://pith.science/paper/G2P7CXFY"},"agent_actions":{"view_html":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3","download_json":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3.json","view_paper":"https://pith.science/paper/G2P7CXFY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.5769&json=true","fetch_graph":"https://pith.science/api/pith-number/G2P7CXFYTI445HZIMEQQJAS2S3/graph.json","fetch_events":"https://pith.science/api/pith-number/G2P7CXFYTI445HZIMEQQJAS2S3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/action/storage_attestation","attest_author":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/action/author_attestation","sign_citation":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/action/citation_signature","submit_replication":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/action/replication_record"}},"created_at":"2026-05-18T02:01:46.648182+00:00","updated_at":"2026-05-18T02:01:46.648182+00:00"}