{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7CY7WRQBHXJ2UKN7X2BQ4JY7SS","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":"04a4608fcb65638b15edd9ed9241699b171d0577c7edeb99c6b5c6c159371de3","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-12-25T12:58:56Z","title_canon_sha256":"031137f153d745ca15e3b526c673daaa16288cce149a4167772a84722b80a42e"},"schema_version":"1.0","source":{"id":"1012.5475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5475","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5475v1","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5475","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"7CY7WRQBHXJ2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7CY7WRQBHXJ2UKN7","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7CY7WRQB","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:229a10097d22bb05553371468c1a7ae7d0ad23653e94d1a97c5f5f323769db5d","target":"graph","created_at":"2026-05-18T04:32:23Z","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":"In the presence of a linear potential with an arbitrary time-dependence, Hirota method is developed carefully for applying into the effective mean-field model of quasi-one-dimensional Bose-Einstein condensation with repulsive interaction. We obtain the exact nonautonomous soliton solution (NSS) analytically. These solutions show that the time-dependent potential can affect the velocity of NSS. In some special cases the velocity has the character of both increase and oscillation with time. A detail analysis for the asymptotic behaviour of solutions shows that the collision of two NSSs is elasti","authors_text":"Guangsheng Fu, Qiu-Yan Li, Shu-Xin Wang, Wei-Wei Song, Zai-Dong Li","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-12-25T12:58:56Z","title":"Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5475","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:abe4325880eaf65fa1b11d61ef6dcfa6539fc4680b3cccf02eaa2bf8a44ba134","target":"record","created_at":"2026-05-18T04:32:23Z","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":"04a4608fcb65638b15edd9ed9241699b171d0577c7edeb99c6b5c6c159371de3","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-12-25T12:58:56Z","title_canon_sha256":"031137f153d745ca15e3b526c673daaa16288cce149a4167772a84722b80a42e"},"schema_version":"1.0","source":{"id":"1012.5475","kind":"arxiv","version":1}},"canonical_sha256":"f8b1fb46013dd3aa29bfbe830e271f948766a9013094c15b76acdee12973cc9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8b1fb46013dd3aa29bfbe830e271f948766a9013094c15b76acdee12973cc9b","first_computed_at":"2026-05-18T04:32:23.333210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:23.333210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dd9lU+fC0FXeK3cWkw9t7Rs1yagbxZe+S2ALKb0gDL5Gs/WKTwagW5JqsgeP/Kq6lCymM44QOnBMYkmTnTotCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:23.334006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abe4325880eaf65fa1b11d61ef6dcfa6539fc4680b3cccf02eaa2bf8a44ba134","sha256:229a10097d22bb05553371468c1a7ae7d0ad23653e94d1a97c5f5f323769db5d"],"state_sha256":"80b839607b3beec504af4b6b2afbbdb001203a0ddc74929009de2c49d499984e"}