{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OMLBVUF6Q4ABBTUAHVZWM5QEUE","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":"c4289b84d51f2c60f17518c5c41b2f295261feb5d6224ed5555d3a90a251623d","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-23T20:11:15Z","title_canon_sha256":"baecd8f41af62cbe9896228b19c2858f995740038490cf5ca9f418e26f4b3393"},"schema_version":"1.0","source":{"id":"1203.5344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5344","created_at":"2026-05-18T03:55:23Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5344v1","created_at":"2026-05-18T03:55:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5344","created_at":"2026-05-18T03:55:23Z"},{"alias_kind":"pith_short_12","alias_value":"OMLBVUF6Q4AB","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OMLBVUF6Q4ABBTUA","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OMLBVUF6","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:7437aae7b733ca863cdc415ec83aea402e73a0dc98331c2802178ae69291f0fc","target":"graph","created_at":"2026-05-18T03:55:23Z","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 predict that a photonic crystal fiber whose strands are filled with a defocusing nonlinear medium can support stable bright and also vortex solitons if the strength of the defocusing nonlinearity grows toward the periphery of the fiber. The domains of soliton existence depend on the transverse growth rate of the filling nonlinearity and nonlinearity of the core. Remarkably, solitons exist even when the core material is linear.","authors_text":"Boris A. Malomed, 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":"2012-03-23T20:11:15Z","title":"Stable bright and vortex solitons in photonic crystal fibers with inhomogeneous defocusing nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5344","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":"sha256:1c1b28716929637252ee4ba5621ee6e18f479e4d561de1c7489aaad30c908d42","target":"record","created_at":"2026-05-18T03:55:23Z","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":"c4289b84d51f2c60f17518c5c41b2f295261feb5d6224ed5555d3a90a251623d","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-03-23T20:11:15Z","title_canon_sha256":"baecd8f41af62cbe9896228b19c2858f995740038490cf5ca9f418e26f4b3393"},"schema_version":"1.0","source":{"id":"1203.5344","kind":"arxiv","version":1}},"canonical_sha256":"73161ad0be870010ce803d73667604a122065d490e3d48a2d47b99e3d3e06690","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73161ad0be870010ce803d73667604a122065d490e3d48a2d47b99e3d3e06690","first_computed_at":"2026-05-18T03:55:23.088356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:23.088356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j+haoIr3moyVKtwZDNzMw/UmMKovAAOhONzo3XwSJhX9AGhX1skQKf9U+vKggTUw0U2xFz7NPzSAgnggrZN5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:23.089080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c1b28716929637252ee4ba5621ee6e18f479e4d561de1c7489aaad30c908d42","sha256:7437aae7b733ca863cdc415ec83aea402e73a0dc98331c2802178ae69291f0fc"],"state_sha256":"7b4a47e7447c6aaf99626f16322ae25bdf71bd2be94ddb293f54b4885c7352a5"}