{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WBBIHPVMTXNF67K5NFLM7HGHKZ","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":"9bddb2b3dce12b506d9565508d6eb45c578078741a26ca40d7bf5a4707eb2333","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-09T21:18:50Z","title_canon_sha256":"d3a701832a8e56631e01c3654698e4345e15abfa4f4524f8db640fecaf47ca67"},"schema_version":"1.0","source":{"id":"1312.2601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2601","created_at":"2026-05-18T01:45:52Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2601v1","created_at":"2026-05-18T01:45:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2601","created_at":"2026-05-18T01:45:52Z"},{"alias_kind":"pith_short_12","alias_value":"WBBIHPVMTXNF","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WBBIHPVMTXNF67K5","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WBBIHPVM","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:93bde1cbdf737b77ee93ba580f44f7b35f78806da8e1da3063db00402e24fdb5","target":"graph","created_at":"2026-05-18T01:45:52Z","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":"We find that the recently introduced model of self-trapping supported by a spatially growing strength of a repulsive nonlinearity gives rise to robust vortex-soliton tori, i.e., three-dimensional vortex solitons, with topological charges S. The family with S=1 is completely stable, while the one with S=2 has alternating regions of stability and instability. The families are nearly exactly reproduced in an analytical form by the Thomas-Fermi approximation (TFA). Unstable states with S=2 and 3 split into persistently rotating pairs or triangles of unitary vortices. Application of a moderate torq","authors_text":"Boris A. Malomed, Lluis Torner, Rodislav Driben, Torsten Meier, Yaroslav V. Kartashov","cross_cats":["cond-mat.quant-gas","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-09T21:18:50Z","title":"Soliton gyroscopes in media with spatially growing repulsive nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2601","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":"sha256:7b5e639b6a2090cea3eaa9bb207bcdfa9e85180ec97da7a89ef96fadf0b687a0","target":"record","created_at":"2026-05-18T01:45:52Z","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":"9bddb2b3dce12b506d9565508d6eb45c578078741a26ca40d7bf5a4707eb2333","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-12-09T21:18:50Z","title_canon_sha256":"d3a701832a8e56631e01c3654698e4345e15abfa4f4524f8db640fecaf47ca67"},"schema_version":"1.0","source":{"id":"1312.2601","kind":"arxiv","version":1}},"canonical_sha256":"b04283beac9dda5f7d5d6956cf9cc7564c6f60f4c1425674fbe00d64c427a741","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b04283beac9dda5f7d5d6956cf9cc7564c6f60f4c1425674fbe00d64c427a741","first_computed_at":"2026-05-18T01:45:52.364641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:52.364641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1NC3X70PjH9FqiX61v2Q2iZ1IdzTr+/dBkDGmohD8mXNJazj5KHV/x4EeUf8ZuInxLgnN63fum7yDc5NUTSvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:52.366063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b5e639b6a2090cea3eaa9bb207bcdfa9e85180ec97da7a89ef96fadf0b687a0","sha256:93bde1cbdf737b77ee93ba580f44f7b35f78806da8e1da3063db00402e24fdb5"],"state_sha256":"1baec4bd421d5e2d7bc0713f31fbc3ae1dad80f1f4fbff3c59bcb00cbfc06376"}