{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:23EIJXMY3BSBIMDZ2SOO374MZE","short_pith_number":"pith:23EIJXMY","canonical_record":{"source":{"id":"1510.02228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-08T08:22:26Z","cross_cats_sorted":[],"title_canon_sha256":"470152c26ce41b2f33e7285a45b78aff80c38138111949b89af1c388c33738d7","abstract_canon_sha256":"ff6b5411f216dd1bfc9aa1f6daec776375459691a83a7d8880563cc3a3fd5149"},"schema_version":"1.0"},"canonical_sha256":"d6c884dd98d864143079d49cedff8cc92dcf69de98021272018465b306eeae5c","source":{"kind":"arxiv","id":"1510.02228","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02228","created_at":"2026-05-18T01:30:44Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02228v1","created_at":"2026-05-18T01:30:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02228","created_at":"2026-05-18T01:30:44Z"},{"alias_kind":"pith_short_12","alias_value":"23EIJXMY3BSB","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"23EIJXMY3BSBIMDZ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"23EIJXMY","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:23EIJXMY3BSBIMDZ2SOO374MZE","target":"record","payload":{"canonical_record":{"source":{"id":"1510.02228","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-08T08:22:26Z","cross_cats_sorted":[],"title_canon_sha256":"470152c26ce41b2f33e7285a45b78aff80c38138111949b89af1c388c33738d7","abstract_canon_sha256":"ff6b5411f216dd1bfc9aa1f6daec776375459691a83a7d8880563cc3a3fd5149"},"schema_version":"1.0"},"canonical_sha256":"d6c884dd98d864143079d49cedff8cc92dcf69de98021272018465b306eeae5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:44.392810Z","signature_b64":"8lozaugH9zAKW/KT4qb5vmioYA1GD5aNXHtoXoceUaj3d0uTOh+Yts1dgb0I+x/d1QHtkK8sivdHrWQqdlw5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6c884dd98d864143079d49cedff8cc92dcf69de98021272018465b306eeae5c","last_reissued_at":"2026-05-18T01:30:44.392293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:44.392293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.02228","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":"2026-05-18T01:30:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kg0qj48ESQ3mSEnp+ziugglB6LQxyGQUHNCWDV/sbMDt0Hnx7/ilIW5HUznvAPDM8K1sRe8fp/8/PE4VTMGzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:20:47.113871Z"},"content_sha256":"743dbb6756db7e6ce04b3da398263f611c82ebed387dc78158837577587f10c7","schema_version":"1.0","event_id":"sha256:743dbb6756db7e6ce04b3da398263f611c82ebed387dc78158837577587f10c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:23EIJXMY3BSBIMDZ2SOO374MZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear stability of current-vortex sheet to the incompressible MHD equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Wei Wang, Yongzhong Sun, Zhifei Zhang","submitted_at":"2015-10-08T08:22:26Z","abstract_excerpt":"In this paper, we solve a long-standing open problem: nonlinear stability of current-vortex sheet in the ideal incompressible Magneto-Hydrodynamics under the linear stability condition. This result gives a first rigorous confirmation of the stabilizing effect of the magnetic field on Kelvin-Helmholtz instability."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02228","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":"2026-05-18T01:30:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rIDY+q+FMuahCxhqf+iXOpwI0Ekw4h05h/+1cOCNBOENwebCzfLiGWEbLkV6G+7ehjirvmmLB4lEravSu0m6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:20:47.114423Z"},"content_sha256":"4bcdd855972e444807d844e16c5f6288c7fb72405451b2bd67c2c48080519186","schema_version":"1.0","event_id":"sha256:4bcdd855972e444807d844e16c5f6288c7fb72405451b2bd67c2c48080519186"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/23EIJXMY3BSBIMDZ2SOO374MZE/bundle.json","state_url":"https://pith.science/pith/23EIJXMY3BSBIMDZ2SOO374MZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/23EIJXMY3BSBIMDZ2SOO374MZE/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":"2026-05-26T11:20:47Z","links":{"resolver":"https://pith.science/pith/23EIJXMY3BSBIMDZ2SOO374MZE","bundle":"https://pith.science/pith/23EIJXMY3BSBIMDZ2SOO374MZE/bundle.json","state":"https://pith.science/pith/23EIJXMY3BSBIMDZ2SOO374MZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/23EIJXMY3BSBIMDZ2SOO374MZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:23EIJXMY3BSBIMDZ2SOO374MZE","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":"ff6b5411f216dd1bfc9aa1f6daec776375459691a83a7d8880563cc3a3fd5149","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-08T08:22:26Z","title_canon_sha256":"470152c26ce41b2f33e7285a45b78aff80c38138111949b89af1c388c33738d7"},"schema_version":"1.0","source":{"id":"1510.02228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02228","created_at":"2026-05-18T01:30:44Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02228v1","created_at":"2026-05-18T01:30:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02228","created_at":"2026-05-18T01:30:44Z"},{"alias_kind":"pith_short_12","alias_value":"23EIJXMY3BSB","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"23EIJXMY3BSBIMDZ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"23EIJXMY","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:4bcdd855972e444807d844e16c5f6288c7fb72405451b2bd67c2c48080519186","target":"graph","created_at":"2026-05-18T01:30:44Z","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":"In this paper, we solve a long-standing open problem: nonlinear stability of current-vortex sheet in the ideal incompressible Magneto-Hydrodynamics under the linear stability condition. This result gives a first rigorous confirmation of the stabilizing effect of the magnetic field on Kelvin-Helmholtz instability.","authors_text":"Wei Wang, Yongzhong Sun, Zhifei Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-08T08:22:26Z","title":"Nonlinear stability of current-vortex sheet to the incompressible MHD equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02228","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":"sha256:743dbb6756db7e6ce04b3da398263f611c82ebed387dc78158837577587f10c7","target":"record","created_at":"2026-05-18T01:30:44Z","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":"ff6b5411f216dd1bfc9aa1f6daec776375459691a83a7d8880563cc3a3fd5149","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-08T08:22:26Z","title_canon_sha256":"470152c26ce41b2f33e7285a45b78aff80c38138111949b89af1c388c33738d7"},"schema_version":"1.0","source":{"id":"1510.02228","kind":"arxiv","version":1}},"canonical_sha256":"d6c884dd98d864143079d49cedff8cc92dcf69de98021272018465b306eeae5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6c884dd98d864143079d49cedff8cc92dcf69de98021272018465b306eeae5c","first_computed_at":"2026-05-18T01:30:44.392293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:44.392293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8lozaugH9zAKW/KT4qb5vmioYA1GD5aNXHtoXoceUaj3d0uTOh+Yts1dgb0I+x/d1QHtkK8sivdHrWQqdlw5Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:44.392810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:743dbb6756db7e6ce04b3da398263f611c82ebed387dc78158837577587f10c7","sha256:4bcdd855972e444807d844e16c5f6288c7fb72405451b2bd67c2c48080519186"],"state_sha256":"3ef93507140e00f3768af98f7fa2fd35e77558bdc8870c108234b2901b9b0180"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oWmea0AN0MFUcFaC0+fztLKR0aftvCvjErjeQ4TRvtfr5Bnwjj10eCRcozj2MjQ27M8VyU3EGgWUgs7cjjupCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:20:47.116543Z","bundle_sha256":"ab97e4f66836deff4df7ffee095dbdb33cccf7f9f0cfb005dcf5a1517148335d"}}