{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FWPSU2IVMSJZXDQFPBALSZT7CQ","short_pith_number":"pith:FWPSU2IV","canonical_record":{"source":{"id":"1306.0526","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-06-03T18:12:12Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"d988ff825c097de376d9a0cfcffcf49da0c4df4bc48c0c765861bd7f7a9b8fd6","abstract_canon_sha256":"b359f9c5cd625d61207df11919714e21ed21e52ef41e0858b766370b76c78e64"},"schema_version":"1.0"},"canonical_sha256":"2d9f2a691564939b8e057840b9667f143c6ce733275b1446f480d7e284e0453b","source":{"kind":"arxiv","id":"1306.0526","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0526","created_at":"2026-05-18T02:53:15Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0526v2","created_at":"2026-05-18T02:53:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0526","created_at":"2026-05-18T02:53:15Z"},{"alias_kind":"pith_short_12","alias_value":"FWPSU2IVMSJZ","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FWPSU2IVMSJZXDQF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FWPSU2IV","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FWPSU2IVMSJZXDQFPBALSZT7CQ","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0526","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-06-03T18:12:12Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"d988ff825c097de376d9a0cfcffcf49da0c4df4bc48c0c765861bd7f7a9b8fd6","abstract_canon_sha256":"b359f9c5cd625d61207df11919714e21ed21e52ef41e0858b766370b76c78e64"},"schema_version":"1.0"},"canonical_sha256":"2d9f2a691564939b8e057840b9667f143c6ce733275b1446f480d7e284e0453b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:15.216202Z","signature_b64":"yBBeQTLTi9k19wRIvbfGXudag+XWMa3RoTS7wQppH09mP0eZeE5oIHzqcGLQho5HcLKwMoQUAO+7Us2uR+HvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d9f2a691564939b8e057840b9667f143c6ce733275b1446f480d7e284e0453b","last_reissued_at":"2026-05-18T02:53:15.215530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:15.215530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0526","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g19tv5LJOYr8C+HQ4l47gqaajCrBenUOMTe6yTvlEpq1zJC+nfpUTqlm2g7fpkpNvKJfEhDQUe7JsDxxdKPZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:53:10.555080Z"},"content_sha256":"6cd10deed604bd7e35b5275da34582211bbb862c07d5ce08771e9888a50df09e","schema_version":"1.0","event_id":"sha256:6cd10deed604bd7e35b5275da34582211bbb862c07d5ce08771e9888a50df09e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FWPSU2IVMSJZXDQFPBALSZT7CQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modulation of localized solutions for the Schr\\\"odinger equation with logarithm nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"nlin.PS","authors_text":"A. T. Avelar, D. Bazeia, L. Cala\\c{c}a, W. B. Cardoso","submitted_at":"2013-06-03T18:12:12Z","abstract_excerpt":"We investigate the presence of localized analytical solutions of the Schr\\\"odinger equation with logarithm nonlinearity. After including inhomogeneities in the linear and nonlinear coefficients, we use similarity transformation to convert the nonautonomous nonlinear equation into an autonomous one, which we solve analytically. In particular, we study stability of the analytical solutions numerically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0526","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:53:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cDfkaGvsJ3SepGza3DJWhLFlkvWebXlmBKdSi7+CxtookIiWYneHoGGAywgFUtAFarCQqdOYV1dHaNP6c4NHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:53:10.555742Z"},"content_sha256":"f1b09d3b98a6092530f7e715ab677e770fa5a5014ac7437dba2841de16ea6ff3","schema_version":"1.0","event_id":"sha256:f1b09d3b98a6092530f7e715ab677e770fa5a5014ac7437dba2841de16ea6ff3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ/bundle.json","state_url":"https://pith.science/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ/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":"2026-05-27T13:53:10Z","links":{"resolver":"https://pith.science/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ","bundle":"https://pith.science/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ/bundle.json","state":"https://pith.science/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWPSU2IVMSJZXDQFPBALSZT7CQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FWPSU2IVMSJZXDQFPBALSZT7CQ","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":"b359f9c5cd625d61207df11919714e21ed21e52ef41e0858b766370b76c78e64","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-06-03T18:12:12Z","title_canon_sha256":"d988ff825c097de376d9a0cfcffcf49da0c4df4bc48c0c765861bd7f7a9b8fd6"},"schema_version":"1.0","source":{"id":"1306.0526","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0526","created_at":"2026-05-18T02:53:15Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0526v2","created_at":"2026-05-18T02:53:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0526","created_at":"2026-05-18T02:53:15Z"},{"alias_kind":"pith_short_12","alias_value":"FWPSU2IVMSJZ","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FWPSU2IVMSJZXDQF","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FWPSU2IV","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:f1b09d3b98a6092530f7e715ab677e770fa5a5014ac7437dba2841de16ea6ff3","target":"graph","created_at":"2026-05-18T02:53:15Z","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 investigate the presence of localized analytical solutions of the Schr\\\"odinger equation with logarithm nonlinearity. After including inhomogeneities in the linear and nonlinear coefficients, we use similarity transformation to convert the nonautonomous nonlinear equation into an autonomous one, which we solve analytically. In particular, we study stability of the analytical solutions numerically.","authors_text":"A. T. Avelar, D. Bazeia, L. Cala\\c{c}a, W. B. Cardoso","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-06-03T18:12:12Z","title":"Modulation of localized solutions for the Schr\\\"odinger equation with logarithm nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0526","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":"sha256:6cd10deed604bd7e35b5275da34582211bbb862c07d5ce08771e9888a50df09e","target":"record","created_at":"2026-05-18T02:53:15Z","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":"b359f9c5cd625d61207df11919714e21ed21e52ef41e0858b766370b76c78e64","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-06-03T18:12:12Z","title_canon_sha256":"d988ff825c097de376d9a0cfcffcf49da0c4df4bc48c0c765861bd7f7a9b8fd6"},"schema_version":"1.0","source":{"id":"1306.0526","kind":"arxiv","version":2}},"canonical_sha256":"2d9f2a691564939b8e057840b9667f143c6ce733275b1446f480d7e284e0453b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d9f2a691564939b8e057840b9667f143c6ce733275b1446f480d7e284e0453b","first_computed_at":"2026-05-18T02:53:15.215530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:15.215530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yBBeQTLTi9k19wRIvbfGXudag+XWMa3RoTS7wQppH09mP0eZeE5oIHzqcGLQho5HcLKwMoQUAO+7Us2uR+HvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:15.216202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0526","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cd10deed604bd7e35b5275da34582211bbb862c07d5ce08771e9888a50df09e","sha256:f1b09d3b98a6092530f7e715ab677e770fa5a5014ac7437dba2841de16ea6ff3"],"state_sha256":"ec9e6d0028a6498e552c5556be5ac71a4df7b20422e3dd1db759f57443d3cf21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cl2u/4Raj5st6iB0kHBjdZq4Q7Lyeq5Sb17MFTTu1DfMjadbt6kzaKG58/poP/akAkee4rKJ3NvzabfeyFBlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:53:10.559105Z","bundle_sha256":"23294a899c503c01f38b2883741baf26dc17ebfc3b8e9b4622c37006bcad3cac"}}