{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KRTNHNU6Q2R6UTSIZRHHY3CZJN","short_pith_number":"pith:KRTNHNU6","canonical_record":{"source":{"id":"1704.03348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T15:08:43Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"70e1bcc6807ede4668d8cc4999a5b36605a2ab941673ebaa38beb62b15974192","abstract_canon_sha256":"437583160118d827fe823acb6d3e53fac439077ccd1d112f793374ceb1f75024"},"schema_version":"1.0"},"canonical_sha256":"5466d3b69e86a3ea4e48cc4e7c6c594b6428e6313ef46db0637255e14fe362d2","source":{"kind":"arxiv","id":"1704.03348","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03348","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03348v1","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03348","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"KRTNHNU6Q2R6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KRTNHNU6Q2R6UTSI","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KRTNHNU6","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KRTNHNU6Q2R6UTSIZRHHY3CZJN","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T15:08:43Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"70e1bcc6807ede4668d8cc4999a5b36605a2ab941673ebaa38beb62b15974192","abstract_canon_sha256":"437583160118d827fe823acb6d3e53fac439077ccd1d112f793374ceb1f75024"},"schema_version":"1.0"},"canonical_sha256":"5466d3b69e86a3ea4e48cc4e7c6c594b6428e6313ef46db0637255e14fe362d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:32.771349Z","signature_b64":"U4xA5WtLQrc/dvW5ZvFyMX82ML2xCDIwup0Y2lYyjpx7JMVBgRIax8wUkPC0iJ64LFgeHo1lL9/rP/R4K6HiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5466d3b69e86a3ea4e48cc4e7c6c594b6428e6313ef46db0637255e14fe362d2","last_reissued_at":"2026-05-18T00:46:32.770625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:32.770625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03348","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xD7rcqgwdl6Zx1PvnRyvXGWYknVHbI+pv+HLa7MoWINhKpJl/H9sTYe6fJchljY5vKHJixmjSrqaAbiI7er0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:21:05.519271Z"},"content_sha256":"115d1be2b5ab183404ba38649dea4a191a139b0e79e66bb4c65b97d0f0854596","schema_version":"1.0","event_id":"sha256:115d1be2b5ab183404ba38649dea4a191a139b0e79e66bb4c65b97d0f0854596"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KRTNHNU6Q2R6UTSIZRHHY3CZJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modulation of localized solutions in quadratic-cubic nonlinear Schr\\\"odinger equation with inhomogeneous coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"Ardiley T. Avelar, Dionisio Bazeia, Hugo L. C. Couto, Wesley B. Cardoso","submitted_at":"2017-04-11T15:08:43Z","abstract_excerpt":"We study the presence of exact localized solutions in a quadratic-cubic nonlinear Schr\\\"odinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the nonautonomous nonlinear equation into an autonomous one, which engenders composed states corresponding to solutions localized in space, with an oscillating behavior in time. Direct numerical simulations are employed to verify the stability of the modulated solutions against small random perturbations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03348","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nYUNriZ8NdYGw3rmxq3fdgS6d/Cpvkv9AE2ruumdO+QsqnR2KRaykdQ9J9jYzTwfb2OeXK1IddDWUOa/HByMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:21:05.519635Z"},"content_sha256":"1aa1b8e9547d12442379ee7e20cfefa4540877608ed342360dcd2c73e5b7699c","schema_version":"1.0","event_id":"sha256:1aa1b8e9547d12442379ee7e20cfefa4540877608ed342360dcd2c73e5b7699c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN/bundle.json","state_url":"https://pith.science/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T07:21:05Z","links":{"resolver":"https://pith.science/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN","bundle":"https://pith.science/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN/bundle.json","state":"https://pith.science/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRTNHNU6Q2R6UTSIZRHHY3CZJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KRTNHNU6Q2R6UTSIZRHHY3CZJN","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":"437583160118d827fe823acb6d3e53fac439077ccd1d112f793374ceb1f75024","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T15:08:43Z","title_canon_sha256":"70e1bcc6807ede4668d8cc4999a5b36605a2ab941673ebaa38beb62b15974192"},"schema_version":"1.0","source":{"id":"1704.03348","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03348","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03348v1","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03348","created_at":"2026-05-18T00:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"KRTNHNU6Q2R6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KRTNHNU6Q2R6UTSI","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KRTNHNU6","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:1aa1b8e9547d12442379ee7e20cfefa4540877608ed342360dcd2c73e5b7699c","target":"graph","created_at":"2026-05-18T00:46:32Z","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 study the presence of exact localized solutions in a quadratic-cubic nonlinear Schr\\\"odinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the nonautonomous nonlinear equation into an autonomous one, which engenders composed states corresponding to solutions localized in space, with an oscillating behavior in time. Direct numerical simulations are employed to verify the stability of the modulated solutions against small random perturbations.","authors_text":"Ardiley T. Avelar, Dionisio Bazeia, Hugo L. C. Couto, Wesley B. Cardoso","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T15:08:43Z","title":"Modulation of localized solutions in quadratic-cubic nonlinear Schr\\\"odinger equation with inhomogeneous coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03348","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":"sha256:115d1be2b5ab183404ba38649dea4a191a139b0e79e66bb4c65b97d0f0854596","target":"record","created_at":"2026-05-18T00:46:32Z","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":"437583160118d827fe823acb6d3e53fac439077ccd1d112f793374ceb1f75024","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T15:08:43Z","title_canon_sha256":"70e1bcc6807ede4668d8cc4999a5b36605a2ab941673ebaa38beb62b15974192"},"schema_version":"1.0","source":{"id":"1704.03348","kind":"arxiv","version":1}},"canonical_sha256":"5466d3b69e86a3ea4e48cc4e7c6c594b6428e6313ef46db0637255e14fe362d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5466d3b69e86a3ea4e48cc4e7c6c594b6428e6313ef46db0637255e14fe362d2","first_computed_at":"2026-05-18T00:46:32.770625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:32.770625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U4xA5WtLQrc/dvW5ZvFyMX82ML2xCDIwup0Y2lYyjpx7JMVBgRIax8wUkPC0iJ64LFgeHo1lL9/rP/R4K6HiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:32.771349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03348","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:115d1be2b5ab183404ba38649dea4a191a139b0e79e66bb4c65b97d0f0854596","sha256:1aa1b8e9547d12442379ee7e20cfefa4540877608ed342360dcd2c73e5b7699c"],"state_sha256":"2d51d5026ab365b29c1fb10cfd146e50011fe5d46a4eef704a8756b0583dc720"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CSJ8XGsVDhPPrYsaJgQ6GD2HAwh82lBTQCHK+5u3rjNPUIamYTagDERWcu52RH3759AHl+6P631Olicr/SJbDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:21:05.521678Z","bundle_sha256":"7bafa1cd977311477b665ee5c49f875af65e64d8ccf4778868d5971eef15446c"}}