{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MX5RT7P5BDO2MNGTEKW2JR6KVJ","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":"a5ed1ddfb515094043e707ed2cff12708d78800711e80b665c891857bed1fa86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-19T15:16:07Z","title_canon_sha256":"5f70863b6c35417120a3699ac390b934d0887dfc1b2544bb64252fddacbed511"},"schema_version":"1.0","source":{"id":"1105.3905","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3905","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3905v2","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3905","created_at":"2026-05-18T04:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"MX5RT7P5BDO2","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MX5RT7P5BDO2MNGT","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MX5RT7P5","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:1e1fce0afb31d0e0d8b134502e6ee09f61daae63216e7f496d2ac5f23a371001","target":"graph","created_at":"2026-05-18T04:21:10Z","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 continue our study initiated in \\cite{GFGP} on the uniqueness properties of real solutions to the IVP associated to the Benjamin-Ono (BO) equation. In particular, we shall show that the uniqueness results established in \\cite{GFGP} do not extend to any pair of non-vanishing solutions of the BO equation. Also, we shall prove that the uniqueness result established in \\cite{GFGP} under a hypothesis involving information of the solution at three different times can not be relaxed to two different times.","authors_text":"And Gustavo Ponce, Felipe Linares, German Fonseca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-19T15:16:07Z","title":"The IVP for the Benjamin-Ono equation in weighted Sobolev spaces II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3905","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:f3092caee932c20dac18cef6b26107a28729a871678af995209e028960eb7e25","target":"record","created_at":"2026-05-18T04:21:10Z","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":"a5ed1ddfb515094043e707ed2cff12708d78800711e80b665c891857bed1fa86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-19T15:16:07Z","title_canon_sha256":"5f70863b6c35417120a3699ac390b934d0887dfc1b2544bb64252fddacbed511"},"schema_version":"1.0","source":{"id":"1105.3905","kind":"arxiv","version":2}},"canonical_sha256":"65fb19fdfd08dda634d322ada4c7caaa67eec9b2b34de3bf2789135e14a9548e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65fb19fdfd08dda634d322ada4c7caaa67eec9b2b34de3bf2789135e14a9548e","first_computed_at":"2026-05-18T04:21:10.356274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:10.356274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IL6c1/5xkT053k5Kwa4DlV4F8h2P7X4J6g0VBfNPt1ojy8jAUfvLIby98NOj4IH7wXqh9KDHq1F6Gly5nOckDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:10.356995Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3905","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3092caee932c20dac18cef6b26107a28729a871678af995209e028960eb7e25","sha256:1e1fce0afb31d0e0d8b134502e6ee09f61daae63216e7f496d2ac5f23a371001"],"state_sha256":"fa1a0f8c50d2726a4a57989bc0d8e51535f274ea6d76080e9bfdc440743a062c"}