{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LM67CV5ULVB4KTZJHK2LLSGKAV","short_pith_number":"pith:LM67CV5U","schema_version":"1.0","canonical_sha256":"5b3df157b45d43c54f293ab4b5c8ca05697d37f5c610434503f7e6e212a5a527","source":{"kind":"arxiv","id":"1203.0549","version":1},"attestation_state":"computed","paper":{"title":"Geometric Schr\\\"odinger-Airy Flows on K\\\"ahler Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Xiaowei Sun, Youde Wang","submitted_at":"2012-03-02T19:19:07Z","abstract_excerpt":"We define a class of geometric flows on a complete K\\\"ahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schr\\\"odinger equations etc. Furthermore, we consider the existence for these flows from $S^1$ into a complete K\\\"ahler manifold and prove some local and global existence results."},"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":"1203.0549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-02T19:19:07Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"0f90e32c38fb02cbeb266cbbaea9d6a6312051ec0fec65ba1c486a118f389639","abstract_canon_sha256":"ddcd34ba41b54c451343a93943526a2c2598621b046266865698a1fe1fe08203"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:00.422691Z","signature_b64":"ezOsjXK7lFARMsJdA2RYWDfM8rcDKislAHPAEZre14Q9gM0F/RcJvMgbK7JNMZBo67yEbTv1bybZBEq5U0cxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b3df157b45d43c54f293ab4b5c8ca05697d37f5c610434503f7e6e212a5a527","last_reissued_at":"2026-05-18T04:01:00.422058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:00.422058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Schr\\\"odinger-Airy Flows on K\\\"ahler Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Xiaowei Sun, Youde Wang","submitted_at":"2012-03-02T19:19:07Z","abstract_excerpt":"We define a class of geometric flows on a complete K\\\"ahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schr\\\"odinger equations etc. Furthermore, we consider the existence for these flows from $S^1$ into a complete K\\\"ahler manifold and prove some local and global existence results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0549","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":"1203.0549","created_at":"2026-05-18T04:01:00.422151+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.0549v1","created_at":"2026-05-18T04:01:00.422151+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0549","created_at":"2026-05-18T04:01:00.422151+00:00"},{"alias_kind":"pith_short_12","alias_value":"LM67CV5ULVB4","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LM67CV5ULVB4KTZJ","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LM67CV5U","created_at":"2026-05-18T12:27:14.488303+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/LM67CV5ULVB4KTZJHK2LLSGKAV","json":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV.json","graph_json":"https://pith.science/api/pith-number/LM67CV5ULVB4KTZJHK2LLSGKAV/graph.json","events_json":"https://pith.science/api/pith-number/LM67CV5ULVB4KTZJHK2LLSGKAV/events.json","paper":"https://pith.science/paper/LM67CV5U"},"agent_actions":{"view_html":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV","download_json":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV.json","view_paper":"https://pith.science/paper/LM67CV5U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.0549&json=true","fetch_graph":"https://pith.science/api/pith-number/LM67CV5ULVB4KTZJHK2LLSGKAV/graph.json","fetch_events":"https://pith.science/api/pith-number/LM67CV5ULVB4KTZJHK2LLSGKAV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/action/storage_attestation","attest_author":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/action/author_attestation","sign_citation":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/action/citation_signature","submit_replication":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/action/replication_record"}},"created_at":"2026-05-18T04:01:00.422151+00:00","updated_at":"2026-05-18T04:01:00.422151+00:00"}