{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DGR3YEWQUNMWRLE3JEATAGC55U","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":"d0fc0dc7494ee33097e57572ee964ca105943bcb3094b2ac4f81aa020993b1c4","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-06-30T03:10:45Z","title_canon_sha256":"7d8fb5f2ad63e5d1275f14329cd1ba9b05eb90f97fd6ad03fe11a658e9841e89"},"schema_version":"1.0","source":{"id":"1606.09332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09332","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09332v1","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09332","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"DGR3YEWQUNMW","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DGR3YEWQUNMWRLE3","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DGR3YEWQ","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:46878a9636247119d3187c1e278703f201b7531157c08d7b8df6060f2f244537","target":"graph","created_at":"2026-05-18T01:10:14Z","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 report solutions for solitons of the \"accessible\" type in globally nonlocal nonlinear media of fractional dimension (FD), viz., for self-trapped modes in the space of effective dimension $2<D\\le3$ with harmonic-oscillator potential whose strength is proportional to the total power of the wave field. The solutions are categorized by a combination of radial, orbital and azimuthal quantum numbers $(n,l,m)$. They feature coaxial sets of vortical and necklace-shaped rings of different orders, and can be exactly written in terms of special functions that include Gegenbauer polynomials, associated","authors_text":"Boris A. Malomed, Milivoj R. Beli\\'c, Tingwen Huang, Wei-Ping Zhong, Yiqi Zhang","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-06-30T03:10:45Z","title":"Spatiotemporal accessible solitons in fractional dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09332","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:aeb351dfe06175f69a25995a38a01aa128d3a40baf1b21894e2beb834eda84f9","target":"record","created_at":"2026-05-18T01:10:14Z","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":"d0fc0dc7494ee33097e57572ee964ca105943bcb3094b2ac4f81aa020993b1c4","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-06-30T03:10:45Z","title_canon_sha256":"7d8fb5f2ad63e5d1275f14329cd1ba9b05eb90f97fd6ad03fe11a658e9841e89"},"schema_version":"1.0","source":{"id":"1606.09332","kind":"arxiv","version":1}},"canonical_sha256":"19a3bc12d0a35968ac9b490130185ded3cd4848087a0204c371c4f0f765b063a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19a3bc12d0a35968ac9b490130185ded3cd4848087a0204c371c4f0f765b063a","first_computed_at":"2026-05-18T01:10:14.209144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:14.209144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CnUIYJXbDnPpxClOroacaFTcoldsNQS7S4f8RuxGmzz8fULzZEmOS7Ik8lYerZRPrRWYo9TINM9906lBD28sDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:14.209585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aeb351dfe06175f69a25995a38a01aa128d3a40baf1b21894e2beb834eda84f9","sha256:46878a9636247119d3187c1e278703f201b7531157c08d7b8df6060f2f244537"],"state_sha256":"672e537b0b2dfabc6504c671979f628615c2bd1e732cecc4a1195f1297829dd9"}