{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UV35YTWZ56KYXC3QSQQS2ZAWRE","short_pith_number":"pith:UV35YTWZ","canonical_record":{"source":{"id":"1702.03651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T06:54:25Z","cross_cats_sorted":["math.AP","math.MP","quant-ph"],"title_canon_sha256":"e9ac9a2ba342f31885931168b7fec40317ee42afc9bff480e6882cf12ad94b71","abstract_canon_sha256":"f19028b000f67188f76a9257b18b0397babbd6090bc5a75590a746054c501510"},"schema_version":"1.0"},"canonical_sha256":"a577dc4ed9ef958b8b7094212d64168936cdcc3b8639ccc6aef2be320014ee0d","source":{"kind":"arxiv","id":"1702.03651","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03651","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03651v2","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03651","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"UV35YTWZ56KY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UV35YTWZ56KYXC3Q","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UV35YTWZ","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UV35YTWZ56KYXC3QSQQS2ZAWRE","target":"record","payload":{"canonical_record":{"source":{"id":"1702.03651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T06:54:25Z","cross_cats_sorted":["math.AP","math.MP","quant-ph"],"title_canon_sha256":"e9ac9a2ba342f31885931168b7fec40317ee42afc9bff480e6882cf12ad94b71","abstract_canon_sha256":"f19028b000f67188f76a9257b18b0397babbd6090bc5a75590a746054c501510"},"schema_version":"1.0"},"canonical_sha256":"a577dc4ed9ef958b8b7094212d64168936cdcc3b8639ccc6aef2be320014ee0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:48.793305Z","signature_b64":"EXjbdXzVDoJ6B36nyJw9HPL+9zN/9kKInD0xtaG1YcH6XlAb7lfirMVgGkryoiDGfaVj81dFcFhqKEz/OqZZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a577dc4ed9ef958b8b7094212d64168936cdcc3b8639ccc6aef2be320014ee0d","last_reissued_at":"2026-05-17T23:54:48.792855Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:48.792855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.03651","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":"2026-05-17T23:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"glx1obS/4njC/nezEm11p8aHBB0uA021ide9GQpJGH2jJ46gkRMkWWYXgMgxmPi2McWG/hxhEdc3AbMhY2idDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:37:34.317566Z"},"content_sha256":"bc955a481ef8cd105c64cbc56e97c60740fcc3efcc9d9ca0a420f290029d9107","schema_version":"1.0","event_id":"sha256:bc955a481ef8cd105c64cbc56e97c60740fcc3efcc9d9ca0a420f290029d9107"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UV35YTWZ56KYXC3QSQQS2ZAWRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Well-posedness of the Two-dimensional Nonlinear Schr\\\"odinger Equation with Concentrated Nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Lorenzo Tentarelli, Michele Correggi, Raffaele Carlone","submitted_at":"2017-02-13T06:54:25Z","abstract_excerpt":"We consider a two-dimensional nonlinear Schr\\\"odinger equation with concentrated nonlinearity. In both the focusing and defocusing case we prove local well-posedness, i.e., existence and uniqueness of the solution for short times, as well as energy and mass conservation. In addition, we prove that this implies global existence in the defocusing case, irrespective of the power of the nonlinearity, while in the focusing case blowing-up solutions may arise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03651","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":"2026-05-17T23:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2qB8iSinMfrQlp7zMytA6M/NmOc6ChbAxMGwVvMQtOe93FV9rmtpiPGFQuk2NLEB2shouY20TPcc8tdidkdQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:37:34.317915Z"},"content_sha256":"fd50e7f1d46082fc1f8a2b953da4062b5f30e7c09bb5336a75a2a123077f5bfd","schema_version":"1.0","event_id":"sha256:fd50e7f1d46082fc1f8a2b953da4062b5f30e7c09bb5336a75a2a123077f5bfd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE/bundle.json","state_url":"https://pith.science/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE/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":"2026-06-21T10:37:34Z","links":{"resolver":"https://pith.science/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE","bundle":"https://pith.science/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE/bundle.json","state":"https://pith.science/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UV35YTWZ56KYXC3QSQQS2ZAWRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UV35YTWZ56KYXC3QSQQS2ZAWRE","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":"f19028b000f67188f76a9257b18b0397babbd6090bc5a75590a746054c501510","cross_cats_sorted":["math.AP","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T06:54:25Z","title_canon_sha256":"e9ac9a2ba342f31885931168b7fec40317ee42afc9bff480e6882cf12ad94b71"},"schema_version":"1.0","source":{"id":"1702.03651","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03651","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03651v2","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03651","created_at":"2026-05-17T23:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"UV35YTWZ56KY","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UV35YTWZ56KYXC3Q","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UV35YTWZ","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:fd50e7f1d46082fc1f8a2b953da4062b5f30e7c09bb5336a75a2a123077f5bfd","target":"graph","created_at":"2026-05-17T23:54:48Z","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 consider a two-dimensional nonlinear Schr\\\"odinger equation with concentrated nonlinearity. In both the focusing and defocusing case we prove local well-posedness, i.e., existence and uniqueness of the solution for short times, as well as energy and mass conservation. In addition, we prove that this implies global existence in the defocusing case, irrespective of the power of the nonlinearity, while in the focusing case blowing-up solutions may arise.","authors_text":"Lorenzo Tentarelli, Michele Correggi, Raffaele Carlone","cross_cats":["math.AP","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T06:54:25Z","title":"Well-posedness of the Two-dimensional Nonlinear Schr\\\"odinger Equation with Concentrated Nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03651","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:bc955a481ef8cd105c64cbc56e97c60740fcc3efcc9d9ca0a420f290029d9107","target":"record","created_at":"2026-05-17T23:54:48Z","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":"f19028b000f67188f76a9257b18b0397babbd6090bc5a75590a746054c501510","cross_cats_sorted":["math.AP","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-13T06:54:25Z","title_canon_sha256":"e9ac9a2ba342f31885931168b7fec40317ee42afc9bff480e6882cf12ad94b71"},"schema_version":"1.0","source":{"id":"1702.03651","kind":"arxiv","version":2}},"canonical_sha256":"a577dc4ed9ef958b8b7094212d64168936cdcc3b8639ccc6aef2be320014ee0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a577dc4ed9ef958b8b7094212d64168936cdcc3b8639ccc6aef2be320014ee0d","first_computed_at":"2026-05-17T23:54:48.792855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:48.792855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EXjbdXzVDoJ6B36nyJw9HPL+9zN/9kKInD0xtaG1YcH6XlAb7lfirMVgGkryoiDGfaVj81dFcFhqKEz/OqZZDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:48.793305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03651","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc955a481ef8cd105c64cbc56e97c60740fcc3efcc9d9ca0a420f290029d9107","sha256:fd50e7f1d46082fc1f8a2b953da4062b5f30e7c09bb5336a75a2a123077f5bfd"],"state_sha256":"cc092d08081b4ea666dac06b6f18a8204fdd3bb16d7d4acacc7b878ea41ff534"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsY/3R7O6LBU6omUcWnuUgLMMbVa9PdLGUPG5VI16FdYnt+ApCx7PHqFUQPaixqRN4RYVecLB14z5erGJ6WVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T10:37:34.319847Z","bundle_sha256":"26b90f85f61ac3965ba25479551b116468601674211b52b9aa3d3483ce692c26"}}