{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JAMF7TEYA55CLMVJHTINENVU4W","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":"784f172a411e7337e65def76d64a29baba2ffaac6e7c23621ce276190f5a2aef","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-13T09:44:49Z","title_canon_sha256":"be8041db0a511909da497235de1b31b2457d392d8c16d4428a14e9a6c88a9191"},"schema_version":"1.0","source":{"id":"1104.2430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2430","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2430v1","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2430","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"JAMF7TEYA55C","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JAMF7TEYA55CLMVJ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JAMF7TEY","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:739876ca0447dc5d9094301586a354f9ab682db820756f9418e9420890ca7c16","target":"graph","created_at":"2026-05-18T01:17:21Z","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 show that ring-like localized gain landscapes imprinted in focusing cubic (Kerr) nonlinear media with strong two-photon absorption support new types of stable higher-order vortex solitons containing multiple phase singularities nested inside a single core. The phase singularities are found to rotate around the center of the gain landscape, with the rotation period being determined by the strength of the gain and the nonlinear absorption.","authors_text":"Lluis Torner, Olga V. Borovkova, Valery E. Lobanov, Yaroslav V. Kartashov","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-13T09:44:49Z","title":"Rotating vortex solitons supported by localized gain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2430","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:f4120ec5cd8e204e58b560060e800ecfc34c4a8b625de66e899471ef564339b3","target":"record","created_at":"2026-05-18T01:17:21Z","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":"784f172a411e7337e65def76d64a29baba2ffaac6e7c23621ce276190f5a2aef","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-04-13T09:44:49Z","title_canon_sha256":"be8041db0a511909da497235de1b31b2457d392d8c16d4428a14e9a6c88a9191"},"schema_version":"1.0","source":{"id":"1104.2430","kind":"arxiv","version":1}},"canonical_sha256":"48185fcc98077a25b2a93cd0d236b4e59653e1949ddd66448bf76d9ea07c6854","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48185fcc98077a25b2a93cd0d236b4e59653e1949ddd66448bf76d9ea07c6854","first_computed_at":"2026-05-18T01:17:21.250380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:21.250380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/INzT7lwEK+j1Lgh8ScZtM6pDsXjQZ7UnpKk/IGwl8tecE36DfItQUy4agg9fRK+ceLWws/dgk4N/T/L04LZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:21.250766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4120ec5cd8e204e58b560060e800ecfc34c4a8b625de66e899471ef564339b3","sha256:739876ca0447dc5d9094301586a354f9ab682db820756f9418e9420890ca7c16"],"state_sha256":"e35c29f7fd1bb53b72991d38e97eae3e0f8f24018c973de98e359b162ffafaec"}