{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LM67CV5ULVB4KTZJHK2LLSGKAV","short_pith_number":"pith:LM67CV5U","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"},"canonical_sha256":"5b3df157b45d43c54f293ab4b5c8ca05697d37f5c610434503f7e6e212a5a527","source":{"kind":"arxiv","id":"1203.0549","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0549","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0549v1","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0549","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"LM67CV5ULVB4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LM67CV5ULVB4KTZJ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LM67CV5U","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LM67CV5ULVB4KTZJHK2LLSGKAV","target":"record","payload":{"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"},"canonical_sha256":"5b3df157b45d43c54f293ab4b5c8ca05697d37f5c610434503f7e6e212a5a527","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"},"source_kind":"arxiv","source_id":"1203.0549","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":"2026-05-18T04:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2kMQiBD2/kjXGnXeBVTe4kzs76dsRUhX/Ehh3dbuxZSxvCxvNJOXYdS0qIuh96O6OU4GpHzx4BojPb01ojmsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:22:22.291918Z"},"content_sha256":"27276c60b76c3de1bb612b116d5c114643499b8bdb45ef000fb1ff527d2a89b1","schema_version":"1.0","event_id":"sha256:27276c60b76c3de1bb612b116d5c114643499b8bdb45ef000fb1ff527d2a89b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LM67CV5ULVB4KTZJHK2LLSGKAV","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:01:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5uCXvgIbqpQPUg64jmNfuYTtIzouhmauDbiEXuW6Zfa4l1eSWSMMb1u7TVZk0RM+vaqxWKGzV58sp3pn9YHADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:22:22.292533Z"},"content_sha256":"c6862b53642ad1bfe7d572028da573e05364e5bd538f745a639427654ac57918","schema_version":"1.0","event_id":"sha256:c6862b53642ad1bfe7d572028da573e05364e5bd538f745a639427654ac57918"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/bundle.json","state_url":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/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":"2026-05-28T09:22:22Z","links":{"resolver":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV","bundle":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/bundle.json","state":"https://pith.science/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LM67CV5ULVB4KTZJHK2LLSGKAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LM67CV5ULVB4KTZJHK2LLSGKAV","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":"ddcd34ba41b54c451343a93943526a2c2598621b046266865698a1fe1fe08203","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-02T19:19:07Z","title_canon_sha256":"0f90e32c38fb02cbeb266cbbaea9d6a6312051ec0fec65ba1c486a118f389639"},"schema_version":"1.0","source":{"id":"1203.0549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0549","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0549v1","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0549","created_at":"2026-05-18T04:01:00Z"},{"alias_kind":"pith_short_12","alias_value":"LM67CV5ULVB4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LM67CV5ULVB4KTZJ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LM67CV5U","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:c6862b53642ad1bfe7d572028da573e05364e5bd538f745a639427654ac57918","target":"graph","created_at":"2026-05-18T04:01:00Z","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 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.","authors_text":"Xiaowei Sun, Youde Wang","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-02T19:19:07Z","title":"Geometric Schr\\\"odinger-Airy Flows on K\\\"ahler Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0549","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":"sha256:27276c60b76c3de1bb612b116d5c114643499b8bdb45ef000fb1ff527d2a89b1","target":"record","created_at":"2026-05-18T04:01:00Z","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":"ddcd34ba41b54c451343a93943526a2c2598621b046266865698a1fe1fe08203","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-02T19:19:07Z","title_canon_sha256":"0f90e32c38fb02cbeb266cbbaea9d6a6312051ec0fec65ba1c486a118f389639"},"schema_version":"1.0","source":{"id":"1203.0549","kind":"arxiv","version":1}},"canonical_sha256":"5b3df157b45d43c54f293ab4b5c8ca05697d37f5c610434503f7e6e212a5a527","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b3df157b45d43c54f293ab4b5c8ca05697d37f5c610434503f7e6e212a5a527","first_computed_at":"2026-05-18T04:01:00.422058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:00.422058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ezOsjXK7lFARMsJdA2RYWDfM8rcDKislAHPAEZre14Q9gM0F/RcJvMgbK7JNMZBo67yEbTv1bybZBEq5U0cxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:00.422691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27276c60b76c3de1bb612b116d5c114643499b8bdb45ef000fb1ff527d2a89b1","sha256:c6862b53642ad1bfe7d572028da573e05364e5bd538f745a639427654ac57918"],"state_sha256":"81ebf755df39f9b9679c3785930e94c66917116a1fdfe183e9f9a0dc4962e87a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ve1Nn+Pgr304eCBp0sbcFIdebaRjA9HFdKKMTZCtLP/Cc8KTQ6/cv7ijmxvmAe+aWhv7bCVwrQp8uxrsPHvRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:22:22.295631Z","bundle_sha256":"e4adf05c50a7b69fffefd02b2234e93196a25057b25d02b2ba6ec8566740f3ea"}}