{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:G2P7CXFYTI445HZIMEQQJAS2S3","short_pith_number":"pith:G2P7CXFY","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"},"canonical_sha256":"369ff15cb89a39ce9f28612104825a96e401e303b1677f2fcb5c510c44bb4598","source":{"kind":"arxiv","id":"1105.5769","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5769","created_at":"2026-05-18T02:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5769v1","created_at":"2026-05-18T02:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5769","created_at":"2026-05-18T02:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"G2P7CXFYTI44","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"G2P7CXFYTI445HZI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"G2P7CXFY","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:G2P7CXFYTI445HZIMEQQJAS2S3","target":"record","payload":{"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"},"canonical_sha256":"369ff15cb89a39ce9f28612104825a96e401e303b1677f2fcb5c510c44bb4598","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"},"source_kind":"arxiv","source_id":"1105.5769","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":"2026-05-18T02:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqvSQ2nPV/CYxBufOmRjcg3opfhc7lsG8YxSbICgn0FKOtoDacjEt9I8q+hUi7WBPpZip0qoma8WQcJrdU3aBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T06:39:00.898390Z"},"content_sha256":"182d0611bd149e16aba09b856d16ecaf19ee03d8d3b151cd15210cb262079619","schema_version":"1.0","event_id":"sha256:182d0611bd149e16aba09b856d16ecaf19ee03d8d3b151cd15210cb262079619"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:G2P7CXFYTI445HZIMEQQJAS2S3","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+EEAWVIvwoFchGgd/FuU/oRx9yFAak4vGT6J/HWdlLnbahq/EViFzq6bYZckZHK2BQQ3K6z2NTpgnSUr5wsUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T06:39:00.898770Z"},"content_sha256":"6a963fa45bd576827b61e8714dbcab329a0a36e7bb5a260bcdcf6ab13c0a97f8","schema_version":"1.0","event_id":"sha256:6a963fa45bd576827b61e8714dbcab329a0a36e7bb5a260bcdcf6ab13c0a97f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/bundle.json","state_url":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G2P7CXFYTI445HZIMEQQJAS2S3/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":"2026-05-21T06:39:00Z","links":{"resolver":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3","bundle":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/bundle.json","state":"https://pith.science/pith/G2P7CXFYTI445HZIMEQQJAS2S3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G2P7CXFYTI445HZIMEQQJAS2S3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:G2P7CXFYTI445HZIMEQQJAS2S3","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":"08f9ce93b766cad976fc901e32027942ee570f3dbe54ae018db948638e67fab0","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-29T09:12:56Z","title_canon_sha256":"91e2b70316ed9f2e2e1657c9de098bb35893094e2b17c3d99b5a7877198c7e35"},"schema_version":"1.0","source":{"id":"1105.5769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5769","created_at":"2026-05-18T02:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5769v1","created_at":"2026-05-18T02:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5769","created_at":"2026-05-18T02:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"G2P7CXFYTI44","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"G2P7CXFYTI445HZI","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"G2P7CXFY","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:6a963fa45bd576827b61e8714dbcab329a0a36e7bb5a260bcdcf6ab13c0a97f8","target":"graph","created_at":"2026-05-18T02:01:46Z","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 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","authors_text":"B.A. Malomed, D. Mihalache, H. Leblond","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-29T09:12:56Z","title":"Spatiotemporal vortex solitons in hexagonal arrays of waveguides"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5769","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":"sha256:182d0611bd149e16aba09b856d16ecaf19ee03d8d3b151cd15210cb262079619","target":"record","created_at":"2026-05-18T02:01:46Z","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":"08f9ce93b766cad976fc901e32027942ee570f3dbe54ae018db948638e67fab0","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-29T09:12:56Z","title_canon_sha256":"91e2b70316ed9f2e2e1657c9de098bb35893094e2b17c3d99b5a7877198c7e35"},"schema_version":"1.0","source":{"id":"1105.5769","kind":"arxiv","version":1}},"canonical_sha256":"369ff15cb89a39ce9f28612104825a96e401e303b1677f2fcb5c510c44bb4598","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"369ff15cb89a39ce9f28612104825a96e401e303b1677f2fcb5c510c44bb4598","first_computed_at":"2026-05-18T02:01:46.648053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:46.648053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7VOMzzhPF42cy2906FeI2GhIw1IClPrx4aJhcgCPBcWiyhfQZSZujY6NqZRLs94XHlvZe1ULVwBg8SBZsg3RDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:46.648839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:182d0611bd149e16aba09b856d16ecaf19ee03d8d3b151cd15210cb262079619","sha256:6a963fa45bd576827b61e8714dbcab329a0a36e7bb5a260bcdcf6ab13c0a97f8"],"state_sha256":"8919fb2013469ac2c38a4fd514c52d6787749cba02f6ff944403a3bf844ea9f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E/8pTFcICCsaHdeA55ZKD2AChF1XIE/7bIxieIEy/BeJFCFtq2bNgG1+Ec5y5AONN3tfIROQ1/2oYQ+K9Xc2Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T06:39:00.901005Z","bundle_sha256":"7e0b788cdc962590c7386b496744ddc732ded8af7de1c711776a5eb6a949f37c"}}