{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:P62IGLHT3MPELW4WE2MOTEG4TO","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":"52fe1db96483808e714e4a4c4512faf17e4a5b9cd4f2b0c23d6d97602aeccdb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-06-22T10:13:30Z","title_canon_sha256":"73b38ca7d9151a44ff927a32cdf069f91cc53626b10eec032f20031ecaaa9870"},"schema_version":"1.0","source":{"id":"0806.3556","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.3556","created_at":"2026-05-18T04:41:25Z"},{"alias_kind":"arxiv_version","alias_value":"0806.3556v2","created_at":"2026-05-18T04:41:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3556","created_at":"2026-05-18T04:41:25Z"},{"alias_kind":"pith_short_12","alias_value":"P62IGLHT3MPE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"P62IGLHT3MPELW4W","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"P62IGLHT","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:04dedaae217bc4dcb903b962e88012880c4c585d10f8da86351012e023519a2f","target":"graph","created_at":"2026-05-18T04:41:25Z","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 introduce a novel class of spatial complex variable function Gaussian (CVF-Gaussian) beam, which is the product of an arbitrary analytic complex variable function and a Gaussian function, in strongly nonlocal nonlinear media (SNNM). The CVF-Gaussian beam rotates generally during propagation. By choosing the input power of the beam, we can obtain the CVF-Gaussian breather or the CVF-Gaussian soliton. We reveal that stable CVF-Gaussian beam can exist in SNNM with different forms, including rotating dipole, and rotating elliptic donut. A distribution factor which is the parameter for the descr","authors_text":"Dengmei Deng, Qi Guo, Wei Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-06-22T10:13:30Z","title":"Complex variable function Gaussian beam in strongly nonlocal nonlinear media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3556","kind":"arxiv","version":2},"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:bc2754205a63f5348e4457f42054cc54bd2df2284ecd6dfccfa71018ef70dd78","target":"record","created_at":"2026-05-18T04:41:25Z","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":"52fe1db96483808e714e4a4c4512faf17e4a5b9cd4f2b0c23d6d97602aeccdb5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2008-06-22T10:13:30Z","title_canon_sha256":"73b38ca7d9151a44ff927a32cdf069f91cc53626b10eec032f20031ecaaa9870"},"schema_version":"1.0","source":{"id":"0806.3556","kind":"arxiv","version":2}},"canonical_sha256":"7fb4832cf3db1e45db962698e990dc9bb378ede11c996adfdab85bde273e5a2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fb4832cf3db1e45db962698e990dc9bb378ede11c996adfdab85bde273e5a2c","first_computed_at":"2026-05-18T04:41:25.391819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:25.391819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QtXgk6A/NFh0bPgjNtalHKxUOye9dr3d/l1IO5YdNhZ3f9SpQxE4Nldx+c2KPnccSYmwlEN4pmM1WKsOsikJAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:25.392237Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.3556","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc2754205a63f5348e4457f42054cc54bd2df2284ecd6dfccfa71018ef70dd78","sha256:04dedaae217bc4dcb903b962e88012880c4c585d10f8da86351012e023519a2f"],"state_sha256":"bab6bf28a8ef3c5e6580c8da97fcc93b8cc9cc8c6b3e6787c2ec1b4963eaaed5"}