{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IU3SG6ID27X4Z5C7RTKNBYP5EQ","short_pith_number":"pith:IU3SG6ID","canonical_record":{"source":{"id":"1104.1454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-07T22:27:19Z","cross_cats_sorted":[],"title_canon_sha256":"20f5e3bf5193c0d21c384886515056ac7dd479454cfb16434188870f97a88cd4","abstract_canon_sha256":"c2fa49084553a0bec811155ce8f0604a48537b8f31612bb021744134b3d0743e"},"schema_version":"1.0"},"canonical_sha256":"4537237903d7efccf45f8cd4d0e1fd242e3f3dbb7e6c5e4ef69d0e515d43915b","source":{"kind":"arxiv","id":"1104.1454","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1454","created_at":"2026-05-18T04:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1454v1","created_at":"2026-05-18T04:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1454","created_at":"2026-05-18T04:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"IU3SG6ID27X4","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IU3SG6ID27X4Z5C7","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IU3SG6ID","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IU3SG6ID27X4Z5C7RTKNBYP5EQ","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-07T22:27:19Z","cross_cats_sorted":[],"title_canon_sha256":"20f5e3bf5193c0d21c384886515056ac7dd479454cfb16434188870f97a88cd4","abstract_canon_sha256":"c2fa49084553a0bec811155ce8f0604a48537b8f31612bb021744134b3d0743e"},"schema_version":"1.0"},"canonical_sha256":"4537237903d7efccf45f8cd4d0e1fd242e3f3dbb7e6c5e4ef69d0e515d43915b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:45.007948Z","signature_b64":"mal/iCxIr+KzDzEUrrTfXh5HcCOBtFxcXAaIUIxhGEr6LnkMjgplknA4blEd75WPMqFfRNBGsQJhLJv4oct6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4537237903d7efccf45f8cd4d0e1fd242e3f3dbb7e6c5e4ef69d0e515d43915b","last_reissued_at":"2026-05-18T04:24:45.007422Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:45.007422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1454","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":"2026-05-18T04:24:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/89tYINapoarLFAsjDAje1OROUwm3jBO4Ow8Ky3QNaRbltd70JEWm9phH0QJ8/lMRwv3MZfEQbcnFUR6tuOBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:17:31.999899Z"},"content_sha256":"cdb50d942741a7871932deb491585ea54531e31b8684666f1cb71fc544e09eb7","schema_version":"1.0","event_id":"sha256:cdb50d942741a7871932deb491585ea54531e31b8684666f1cb71fc544e09eb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IU3SG6ID27X4Z5C7RTKNBYP5EQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Davey Stewartson system in Weak $L^p$ Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Vanessa Barros","submitted_at":"2011-04-07T22:27:19Z","abstract_excerpt":"We study the global Cauchy problem associated to the Davey-Stewartson system in $\\re^n,\\ n=2,3$. Existence and uniqueness of solution are stablished for small data in some weak $L^p$ space. We apply an interpolation theorem and the generalization of the Strichartz estimates for the Schr\\\"odinger equation derivated in \\cite{CVeVi}. As a consequence we obtain self-similar solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1454","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":"2026-05-18T04:24:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SlXcI5w2uRYD9wtA2tC3WLpV+KBr0nbpaPLbPzs3IapbaPVZKCput6z4EW3PR9CWduj5e8Pd0uyEGkL7LLViCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:17:32.000229Z"},"content_sha256":"a9c3ae409fb48aab257b97217b91832e7532aec38764698c48a7285de85d0b44","schema_version":"1.0","event_id":"sha256:a9c3ae409fb48aab257b97217b91832e7532aec38764698c48a7285de85d0b44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ/bundle.json","state_url":"https://pith.science/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ/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":"2026-06-23T21:17:32Z","links":{"resolver":"https://pith.science/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ","bundle":"https://pith.science/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ/bundle.json","state":"https://pith.science/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IU3SG6ID27X4Z5C7RTKNBYP5EQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IU3SG6ID27X4Z5C7RTKNBYP5EQ","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":"c2fa49084553a0bec811155ce8f0604a48537b8f31612bb021744134b3d0743e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-07T22:27:19Z","title_canon_sha256":"20f5e3bf5193c0d21c384886515056ac7dd479454cfb16434188870f97a88cd4"},"schema_version":"1.0","source":{"id":"1104.1454","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1454","created_at":"2026-05-18T04:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1454v1","created_at":"2026-05-18T04:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1454","created_at":"2026-05-18T04:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"IU3SG6ID27X4","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IU3SG6ID27X4Z5C7","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IU3SG6ID","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:a9c3ae409fb48aab257b97217b91832e7532aec38764698c48a7285de85d0b44","target":"graph","created_at":"2026-05-18T04:24:45Z","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 global Cauchy problem associated to the Davey-Stewartson system in $\\re^n,\\ n=2,3$. Existence and uniqueness of solution are stablished for small data in some weak $L^p$ space. We apply an interpolation theorem and the generalization of the Strichartz estimates for the Schr\\\"odinger equation derivated in \\cite{CVeVi}. As a consequence we obtain self-similar solutions.","authors_text":"Vanessa Barros","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-07T22:27:19Z","title":"The Davey Stewartson system in Weak $L^p$ Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1454","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:cdb50d942741a7871932deb491585ea54531e31b8684666f1cb71fc544e09eb7","target":"record","created_at":"2026-05-18T04:24:45Z","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":"c2fa49084553a0bec811155ce8f0604a48537b8f31612bb021744134b3d0743e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-07T22:27:19Z","title_canon_sha256":"20f5e3bf5193c0d21c384886515056ac7dd479454cfb16434188870f97a88cd4"},"schema_version":"1.0","source":{"id":"1104.1454","kind":"arxiv","version":1}},"canonical_sha256":"4537237903d7efccf45f8cd4d0e1fd242e3f3dbb7e6c5e4ef69d0e515d43915b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4537237903d7efccf45f8cd4d0e1fd242e3f3dbb7e6c5e4ef69d0e515d43915b","first_computed_at":"2026-05-18T04:24:45.007422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:45.007422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mal/iCxIr+KzDzEUrrTfXh5HcCOBtFxcXAaIUIxhGEr6LnkMjgplknA4blEd75WPMqFfRNBGsQJhLJv4oct6Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:45.007948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1454","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdb50d942741a7871932deb491585ea54531e31b8684666f1cb71fc544e09eb7","sha256:a9c3ae409fb48aab257b97217b91832e7532aec38764698c48a7285de85d0b44"],"state_sha256":"bdec726c87b3f1b9d4429fc1e9ef7383db6326b84eccf741748e9fd1b38a9688"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cx3XQhLxjwC+99ScHHAkvMkgvxL83rbjy8jTWzil7eiwIfqswisj8/q2T6Lt+TcArk/AALWPyZSu7Dl9dijSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T21:17:32.002092Z","bundle_sha256":"fa3e12ff3c7899af40aa85621b43e67cd71beca026c7a71b97f0024358f07618"}}