{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:27ZU3SUQCB62SOYWLRS3MDIVKM","short_pith_number":"pith:27ZU3SUQ","schema_version":"1.0","canonical_sha256":"d7f34dca90107da93b165c65b60d1553182620a3cee6f509e4679eabdcb35ce0","source":{"kind":"arxiv","id":"1201.0251","version":1},"attestation_state":"computed","paper":{"title":"Bragg gap solitons in $\\mathcal{PT}$ symmetric lattices with competing nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Caiwen Ma, Keqing Lu, Shuang Liu, Yiqi Zhang","submitted_at":"2011-12-31T12:14:09Z","abstract_excerpt":"The effect of competing nonlinearity on beam dynamics in parity-time $(\\mathcal{PT})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical $\\mathcal{PT}$ symmetric lattices with competing nonlinearity. Meanwhile, the stability of such solitons is analyzed through introducing a small perturbation to the solitary solutions. The abrupt annihilation of the solitons during propagation demonstrates the Bragg gap solitons in $\\mathcal{PT}$ symmetric potentials are not stable. In comparison with the on-site ga"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1201.0251","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-12-31T12:14:09Z","cross_cats_sorted":[],"title_canon_sha256":"974e43c5e8334a829303aa0c91a281b8edc6829cbae8369a521a3a42dedb4e62","abstract_canon_sha256":"43169e2a207db4e998c65a78c114d5fd49fbb8fc08c8d139fe7f334723e963c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:52.666671Z","signature_b64":"3mtDf25QDCGJ6KbVlnFzEjI6ghVgRfr0+RbG8lXz6jxcdOkmbgCtUUDQvvGNO711q5syr15CudRDYgb1DNufAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7f34dca90107da93b165c65b60d1553182620a3cee6f509e4679eabdcb35ce0","last_reissued_at":"2026-05-18T03:43:52.665841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:52.665841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bragg gap solitons in $\\mathcal{PT}$ symmetric lattices with competing nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Caiwen Ma, Keqing Lu, Shuang Liu, Yiqi Zhang","submitted_at":"2011-12-31T12:14:09Z","abstract_excerpt":"The effect of competing nonlinearity on beam dynamics in parity-time $(\\mathcal{PT})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical $\\mathcal{PT}$ symmetric lattices with competing nonlinearity. Meanwhile, the stability of such solitons is analyzed through introducing a small perturbation to the solitary solutions. The abrupt annihilation of the solitons during propagation demonstrates the Bragg gap solitons in $\\mathcal{PT}$ symmetric potentials are not stable. In comparison with the on-site ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0251","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1201.0251","created_at":"2026-05-18T03:43:52.665988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0251v1","created_at":"2026-05-18T03:43:52.665988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0251","created_at":"2026-05-18T03:43:52.665988+00:00"},{"alias_kind":"pith_short_12","alias_value":"27ZU3SUQCB62","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"27ZU3SUQCB62SOYW","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"27ZU3SUQ","created_at":"2026-05-18T12:26:18.847500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM","json":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM.json","graph_json":"https://pith.science/api/pith-number/27ZU3SUQCB62SOYWLRS3MDIVKM/graph.json","events_json":"https://pith.science/api/pith-number/27ZU3SUQCB62SOYWLRS3MDIVKM/events.json","paper":"https://pith.science/paper/27ZU3SUQ"},"agent_actions":{"view_html":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM","download_json":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM.json","view_paper":"https://pith.science/paper/27ZU3SUQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0251&json=true","fetch_graph":"https://pith.science/api/pith-number/27ZU3SUQCB62SOYWLRS3MDIVKM/graph.json","fetch_events":"https://pith.science/api/pith-number/27ZU3SUQCB62SOYWLRS3MDIVKM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM/action/storage_attestation","attest_author":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM/action/author_attestation","sign_citation":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM/action/citation_signature","submit_replication":"https://pith.science/pith/27ZU3SUQCB62SOYWLRS3MDIVKM/action/replication_record"}},"created_at":"2026-05-18T03:43:52.665988+00:00","updated_at":"2026-05-18T03:43:52.665988+00:00"}