{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MCQZ2MWBCMTG3OA5DZSCUSCLR4","short_pith_number":"pith:MCQZ2MWB","schema_version":"1.0","canonical_sha256":"60a19d32c113266db81d1e642a484b8f3ae157541e2c1b8389eeab3f4f441f25","source":{"kind":"arxiv","id":"1705.01658","version":1},"attestation_state":"computed","paper":{"title":"The Stability of Full Dimensional KAM tori for Nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Hongzi Cong, Jianjun Liu, Xiaoping Yuan, Yunfeng Shi","submitted_at":"2017-05-03T23:54:27Z","abstract_excerpt":"In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., \\textbf{229} (2005), no. 1, 62-94.] is stable in a very long time for 1D nonlinear Schr\\\"{o}dinger equation with periodic boundary conditions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.01658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-03T23:54:27Z","cross_cats_sorted":[],"title_canon_sha256":"b8ca91f98de25482a3c376515bc7450277c5cee2e9bbe204a8726a6d0c0ee819","abstract_canon_sha256":"f0d08c02f26b74ef150afb998e4c33b6c6fac79e54cbd2af9abda69de625cac9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:04.458558Z","signature_b64":"1vMgeWMs9Q4w4t17wYFBO495MWeUO7iUF32MVNp831pxCMoyxi5MGlNs0PlbXdz+ePvbXkaq0gfzAiJWr+aICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60a19d32c113266db81d1e642a484b8f3ae157541e2c1b8389eeab3f4f441f25","last_reissued_at":"2026-05-18T00:45:04.458155Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:04.458155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Stability of Full Dimensional KAM tori for Nonlinear Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Hongzi Cong, Jianjun Liu, Xiaoping Yuan, Yunfeng Shi","submitted_at":"2017-05-03T23:54:27Z","abstract_excerpt":"In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., \\textbf{229} (2005), no. 1, 62-94.] is stable in a very long time for 1D nonlinear Schr\\\"{o}dinger equation with periodic boundary conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01658","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.01658","created_at":"2026-05-18T00:45:04.458210+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.01658v1","created_at":"2026-05-18T00:45:04.458210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01658","created_at":"2026-05-18T00:45:04.458210+00:00"},{"alias_kind":"pith_short_12","alias_value":"MCQZ2MWBCMTG","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MCQZ2MWBCMTG3OA5","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MCQZ2MWB","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4","json":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4.json","graph_json":"https://pith.science/api/pith-number/MCQZ2MWBCMTG3OA5DZSCUSCLR4/graph.json","events_json":"https://pith.science/api/pith-number/MCQZ2MWBCMTG3OA5DZSCUSCLR4/events.json","paper":"https://pith.science/paper/MCQZ2MWB"},"agent_actions":{"view_html":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4","download_json":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4.json","view_paper":"https://pith.science/paper/MCQZ2MWB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.01658&json=true","fetch_graph":"https://pith.science/api/pith-number/MCQZ2MWBCMTG3OA5DZSCUSCLR4/graph.json","fetch_events":"https://pith.science/api/pith-number/MCQZ2MWBCMTG3OA5DZSCUSCLR4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4/action/storage_attestation","attest_author":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4/action/author_attestation","sign_citation":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4/action/citation_signature","submit_replication":"https://pith.science/pith/MCQZ2MWBCMTG3OA5DZSCUSCLR4/action/replication_record"}},"created_at":"2026-05-18T00:45:04.458210+00:00","updated_at":"2026-05-18T00:45:04.458210+00:00"}