{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CQCE2VJXPAXL7ZLN25IWAVWWYQ","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":"f58fae5cfa2b2f223c67e436c39058a7f0e7fe1a6dd3a47e6ea7e2ce2e3b9045","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-14T08:53:59Z","title_canon_sha256":"411db6d8e278da89854dbf4780b912177b028b6c4e9b5018096cd9bdeb18bb1a"},"schema_version":"1.0","source":{"id":"1702.04115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04115","created_at":"2026-05-18T00:50:49Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04115v1","created_at":"2026-05-18T00:50:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04115","created_at":"2026-05-18T00:50:49Z"},{"alias_kind":"pith_short_12","alias_value":"CQCE2VJXPAXL","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CQCE2VJXPAXL7ZLN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CQCE2VJX","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:622921205a1a0c992ad798287105f7604951fbcb484ed5b9f502d36e689c614b","target":"graph","created_at":"2026-05-18T00:50:49Z","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 this work we mainly consider the dynamics and scattering of a narrow soliton of NLS equation with a potential in $\\mathbb{R}^3$, where the asymptotic state of the system can be far from the initial state in parameter space. Specifically, if we let a narrow soliton state with initial velocity $\\upsilon_{0}$ to interact with an extra potential $V(x)$, then the velocity $\\upsilon_{+}$ of outgoing solitary wave in infinite time will in general be very different from $\\upsilon_{0}$. In contrast to our present work, previous works proved that the soliton is asymptotically stable under the assumpt","authors_text":"Avy Soffer, Qingquan Deng, Xiaohua Yao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-14T08:53:59Z","title":"Soliton-potential interactions for nonlinear Schr\\\"odinger equation in $\\mathbb{R}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04115","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:e277415fce5452e2a37a019d9b33095b156e1dc47d6e965cef861975cf26b825","target":"record","created_at":"2026-05-18T00:50:49Z","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":"f58fae5cfa2b2f223c67e436c39058a7f0e7fe1a6dd3a47e6ea7e2ce2e3b9045","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-14T08:53:59Z","title_canon_sha256":"411db6d8e278da89854dbf4780b912177b028b6c4e9b5018096cd9bdeb18bb1a"},"schema_version":"1.0","source":{"id":"1702.04115","kind":"arxiv","version":1}},"canonical_sha256":"14044d5537782ebfe56dd7516056d6c40a923c2906d6c813b83c30ce75ad352e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14044d5537782ebfe56dd7516056d6c40a923c2906d6c813b83c30ce75ad352e","first_computed_at":"2026-05-18T00:50:49.019279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:49.019279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E6tuTmZsAoTutkdrAhmz9eay9CEa1bOhhoeh8istja1RgnEEqv8XnTFETnjEHWV4lU72QcGmzEEufp0460YQDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:49.019742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e277415fce5452e2a37a019d9b33095b156e1dc47d6e965cef861975cf26b825","sha256:622921205a1a0c992ad798287105f7604951fbcb484ed5b9f502d36e689c614b"],"state_sha256":"19a4a63e4c186d7684989aa93be771a2903342c25f49d8d4d2bf19cd2834d5d9"}