{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VKNQEACE63AUJTCJBAFGHLKLFO","short_pith_number":"pith:VKNQEACE","schema_version":"1.0","canonical_sha256":"aa9b020044f6c144cc49080a63ad4b2b871ae159ddad6514f891d9cbb530116d","source":{"kind":"arxiv","id":"1404.7322","version":2},"attestation_state":"computed","paper":{"title":"Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","nlin.SI"],"primary_cat":"quant-ph","authors_text":"Bikashkali Midya","submitted_at":"2014-04-29T11:57:54Z","abstract_excerpt":"We address the existence and stability of spatial localized modes supported by a parity-time-symmetric complex potential in the presence of power-law nonlinearity. The analytical expressions of the localized modes, which are Gaussian in nature, are obtained in both (1+1) and (2+1) dimensions. A linear stability analysis corroborated by the direct numerical simulations reveals that these analytical localized modes can propagate stably for a wide range of the potential parameters and for various order nonlinearities. Some dynamical characteristics of these solutions, such as the power and the tr"},"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":"1404.7322","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-29T11:57:54Z","cross_cats_sorted":["nlin.PS","nlin.SI"],"title_canon_sha256":"c21ff3777955d8f1a3e4ac49374de5a6a36da41d5d205037aa6e768cc3cfa7a4","abstract_canon_sha256":"833a186e80077bf188d1543b3b64d78b6673a6718e8210b6b379555393f9101a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:55.144900Z","signature_b64":"1t88BSnBlm8WC+sF+JYtQCcjdeY+Ctn0sZPRiPVHkQipb5ih/iPZVRIEZ7gycv+kJNXzplWCzViXq5xpz2NmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa9b020044f6c144cc49080a63ad4b2b871ae159ddad6514f891d9cbb530116d","last_reissued_at":"2026-05-18T02:28:55.144564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:55.144564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","nlin.SI"],"primary_cat":"quant-ph","authors_text":"Bikashkali Midya","submitted_at":"2014-04-29T11:57:54Z","abstract_excerpt":"We address the existence and stability of spatial localized modes supported by a parity-time-symmetric complex potential in the presence of power-law nonlinearity. The analytical expressions of the localized modes, which are Gaussian in nature, are obtained in both (1+1) and (2+1) dimensions. A linear stability analysis corroborated by the direct numerical simulations reveals that these analytical localized modes can propagate stably for a wide range of the potential parameters and for various order nonlinearities. Some dynamical characteristics of these solutions, such as the power and the tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7322","kind":"arxiv","version":2},"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":"1404.7322","created_at":"2026-05-18T02:28:55.144611+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7322v2","created_at":"2026-05-18T02:28:55.144611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7322","created_at":"2026-05-18T02:28:55.144611+00:00"},{"alias_kind":"pith_short_12","alias_value":"VKNQEACE63AU","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VKNQEACE63AUJTCJ","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VKNQEACE","created_at":"2026-05-18T12:28:54.890064+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/VKNQEACE63AUJTCJBAFGHLKLFO","json":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO.json","graph_json":"https://pith.science/api/pith-number/VKNQEACE63AUJTCJBAFGHLKLFO/graph.json","events_json":"https://pith.science/api/pith-number/VKNQEACE63AUJTCJBAFGHLKLFO/events.json","paper":"https://pith.science/paper/VKNQEACE"},"agent_actions":{"view_html":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO","download_json":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO.json","view_paper":"https://pith.science/paper/VKNQEACE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7322&json=true","fetch_graph":"https://pith.science/api/pith-number/VKNQEACE63AUJTCJBAFGHLKLFO/graph.json","fetch_events":"https://pith.science/api/pith-number/VKNQEACE63AUJTCJBAFGHLKLFO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO/action/storage_attestation","attest_author":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO/action/author_attestation","sign_citation":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO/action/citation_signature","submit_replication":"https://pith.science/pith/VKNQEACE63AUJTCJBAFGHLKLFO/action/replication_record"}},"created_at":"2026-05-18T02:28:55.144611+00:00","updated_at":"2026-05-18T02:28:55.144611+00:00"}