{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SEKVJVXZ3CFJMOINKZCF5M7NRE","short_pith_number":"pith:SEKVJVXZ","canonical_record":{"source":{"id":"1011.1267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-11-04T21:07:29Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"00066afb7155f51c88965ac861c11cdda82c1b95abcbf61cfab95fb5bf3b3c64","abstract_canon_sha256":"fabb838f59024db3f930a5deac5583d6a4c16768b2ac83089dbdc72b42d0c5da"},"schema_version":"1.0"},"canonical_sha256":"911554d6f9d88a96390d56445eb3ed890520e3cb96bedb13107b12c7ee6680ea","source":{"kind":"arxiv","id":"1011.1267","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1267","created_at":"2026-05-18T02:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1267v1","created_at":"2026-05-18T02:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1267","created_at":"2026-05-18T02:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"SEKVJVXZ3CFJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SEKVJVXZ3CFJMOIN","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SEKVJVXZ","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SEKVJVXZ3CFJMOINKZCF5M7NRE","target":"record","payload":{"canonical_record":{"source":{"id":"1011.1267","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-11-04T21:07:29Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"00066afb7155f51c88965ac861c11cdda82c1b95abcbf61cfab95fb5bf3b3c64","abstract_canon_sha256":"fabb838f59024db3f930a5deac5583d6a4c16768b2ac83089dbdc72b42d0c5da"},"schema_version":"1.0"},"canonical_sha256":"911554d6f9d88a96390d56445eb3ed890520e3cb96bedb13107b12c7ee6680ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:52.735434Z","signature_b64":"vrrT9gU47j6Myvo9eoleuaOfkbbxpjF6uu1xkj/wbaE12OPiNqSFc4aAbpAm3b4U4Dzf6KJrK53N54VkTv39DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"911554d6f9d88a96390d56445eb3ed890520e3cb96bedb13107b12c7ee6680ea","last_reissued_at":"2026-05-18T02:04:52.734946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:52.734946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.1267","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":"2026-05-18T02:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nmDp2bfUjg93k6o5qmcoz/yVM/dxK69b0Ksg28rrZHs1fzjKzJ0JJPfyxrSeEKYoTeWJXw8wkWDN8orOKMNyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:01:57.181652Z"},"content_sha256":"18abbd2f9266a382c6b6d101947cf6bc69e2b59d548213647c96972f10d7c7d0","schema_version":"1.0","event_id":"sha256:18abbd2f9266a382c6b6d101947cf6bc69e2b59d548213647c96972f10d7c7d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SEKVJVXZ3CFJMOINKZCF5M7NRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"Boris A. Malomed, Nir Dror","submitted_at":"2010-11-04T21:07:29Z","abstract_excerpt":"It is well known that the two-dimensional (2D) nonlinear Schr\\\"odinger equation (NLSE) with the cubic-quintic (CQ) nonlinearity supports a family of stable fundamental solitons, as well as solitary vortices (alias vortex rings), which are stable for sufficiently large values of the norm. We study stationary localized modes in a symmetric linearly coupled system of two such equations, focusing on asymmetric states. The model may describe \"optical bullets\" in dual-core nonlinear optical waveguides (including spatiotemporal vortices that were not discussed before), or a Bose-Einstein condensate ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1267","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":"2026-05-18T02:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbrLsIIJyAVrTWehfes/sx+fUsIxTXLPddiQeNCZ/ZivnPhXqXBK9pxQw+nytgcg8UwTAcnD77v6VSIhS+liBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:01:57.182359Z"},"content_sha256":"0619a99edeff6891a9f6268fb60dbf922bd0a775183afa5c6500d0f92bbec382","schema_version":"1.0","event_id":"sha256:0619a99edeff6891a9f6268fb60dbf922bd0a775183afa5c6500d0f92bbec382"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE/bundle.json","state_url":"https://pith.science/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE/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":"2026-05-28T22:01:57Z","links":{"resolver":"https://pith.science/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE","bundle":"https://pith.science/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE/bundle.json","state":"https://pith.science/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEKVJVXZ3CFJMOINKZCF5M7NRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SEKVJVXZ3CFJMOINKZCF5M7NRE","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":"fabb838f59024db3f930a5deac5583d6a4c16768b2ac83089dbdc72b42d0c5da","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-11-04T21:07:29Z","title_canon_sha256":"00066afb7155f51c88965ac861c11cdda82c1b95abcbf61cfab95fb5bf3b3c64"},"schema_version":"1.0","source":{"id":"1011.1267","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1267","created_at":"2026-05-18T02:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1267v1","created_at":"2026-05-18T02:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1267","created_at":"2026-05-18T02:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"SEKVJVXZ3CFJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SEKVJVXZ3CFJMOIN","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SEKVJVXZ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:0619a99edeff6891a9f6268fb60dbf922bd0a775183afa5c6500d0f92bbec382","target":"graph","created_at":"2026-05-18T02:04:52Z","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":"It is well known that the two-dimensional (2D) nonlinear Schr\\\"odinger equation (NLSE) with the cubic-quintic (CQ) nonlinearity supports a family of stable fundamental solitons, as well as solitary vortices (alias vortex rings), which are stable for sufficiently large values of the norm. We study stationary localized modes in a symmetric linearly coupled system of two such equations, focusing on asymmetric states. The model may describe \"optical bullets\" in dual-core nonlinear optical waveguides (including spatiotemporal vortices that were not discussed before), or a Bose-Einstein condensate (","authors_text":"Boris A. Malomed, Nir Dror","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-11-04T21:07:29Z","title":"Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1267","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":"sha256:18abbd2f9266a382c6b6d101947cf6bc69e2b59d548213647c96972f10d7c7d0","target":"record","created_at":"2026-05-18T02:04:52Z","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":"fabb838f59024db3f930a5deac5583d6a4c16768b2ac83089dbdc72b42d0c5da","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2010-11-04T21:07:29Z","title_canon_sha256":"00066afb7155f51c88965ac861c11cdda82c1b95abcbf61cfab95fb5bf3b3c64"},"schema_version":"1.0","source":{"id":"1011.1267","kind":"arxiv","version":1}},"canonical_sha256":"911554d6f9d88a96390d56445eb3ed890520e3cb96bedb13107b12c7ee6680ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"911554d6f9d88a96390d56445eb3ed890520e3cb96bedb13107b12c7ee6680ea","first_computed_at":"2026-05-18T02:04:52.734946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:52.734946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vrrT9gU47j6Myvo9eoleuaOfkbbxpjF6uu1xkj/wbaE12OPiNqSFc4aAbpAm3b4U4Dzf6KJrK53N54VkTv39DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:52.735434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1267","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18abbd2f9266a382c6b6d101947cf6bc69e2b59d548213647c96972f10d7c7d0","sha256:0619a99edeff6891a9f6268fb60dbf922bd0a775183afa5c6500d0f92bbec382"],"state_sha256":"a055bcbcebd2c123b61248732c14eb046fa799fd864fdc6a1bac03a8768d322e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uk+i1+oH13UHhYnwQgV+yzURGnJwaan8jnn0Z7g0mv9bGN1RF+8fxpacFQvUqjCMh4sEBj/6T9t3CfQu7m+/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:01:57.185657Z","bundle_sha256":"8ec1bc8ca371b93e900a5b2baa9d7e823e3ad403cb6efcbbcb25471fa71222c7"}}