{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FJRVAKWQVVO7ZNJ4JK3S5WRUUR","short_pith_number":"pith:FJRVAKWQ","canonical_record":{"source":{"id":"2012.13931","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2020-12-27T12:27:57Z","cross_cats_sorted":[],"title_canon_sha256":"555308e18e386817dc4d7aeca3e0e78030e1d1ecfc227288f09fa025f0a12193","abstract_canon_sha256":"dc82b774bf67a969153f212cfce7e2f1055e083628464043b5e6abcb408d3fd4"},"schema_version":"1.0"},"canonical_sha256":"2a63502ad0ad5dfcb53c4ab72eda34a459a85f535f3be04a0e4ffb086f16f034","source":{"kind":"arxiv","id":"2012.13931","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.13931","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"arxiv_version","alias_value":"2012.13931v3","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.13931","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"pith_short_12","alias_value":"FJRVAKWQVVO7","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"pith_short_16","alias_value":"FJRVAKWQVVO7ZNJ4","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"pith_short_8","alias_value":"FJRVAKWQ","created_at":"2026-07-05T05:53:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FJRVAKWQVVO7ZNJ4JK3S5WRUUR","target":"record","payload":{"canonical_record":{"source":{"id":"2012.13931","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2020-12-27T12:27:57Z","cross_cats_sorted":[],"title_canon_sha256":"555308e18e386817dc4d7aeca3e0e78030e1d1ecfc227288f09fa025f0a12193","abstract_canon_sha256":"dc82b774bf67a969153f212cfce7e2f1055e083628464043b5e6abcb408d3fd4"},"schema_version":"1.0"},"canonical_sha256":"2a63502ad0ad5dfcb53c4ab72eda34a459a85f535f3be04a0e4ffb086f16f034","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:53:46.057184Z","signature_b64":"5wZ2eUqxaFrZ1f6M0v1HA+5vrlPnHat8dTKZ5COg98yva4z6/q/ZdWYE509W2o9pHoPUBGwxGB3TPZL3TV6uBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a63502ad0ad5dfcb53c4ab72eda34a459a85f535f3be04a0e4ffb086f16f034","last_reissued_at":"2026-07-05T05:53:46.056747Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:53:46.056747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.13931","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:53:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"32syU0FCRatxqtJCUED/AS2sXOMKAdB8vm70pTaj5KsK6cfcuZrCbPTRxZw2ptuLoERRyo1qLN9/Ve0ytcoHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T02:01:45.055974Z"},"content_sha256":"ad1f5fcbcf6e5b87066b86bb2e938efbbf3803b7f38de06839faf5899a61ea48","schema_version":"1.0","event_id":"sha256:ad1f5fcbcf6e5b87066b86bb2e938efbbf3803b7f38de06839faf5899a61ea48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FJRVAKWQVVO7ZNJ4JK3S5WRUUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Well-posedness of the Free-Boundary Problem in Compressible Resistive Magnetohydrodynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Junyan Zhang","submitted_at":"2020-12-27T12:27:57Z","abstract_excerpt":"We prove the local well-posedness in Sobolev spaces of the free-boundary problem for compressible inviscid resistive isentropic MHD system under the Rayleigh-Taylor physical sign condition, which describes the motion of a free-boundary compressible plasma in an electro-magnetic field with magnetic diffusion. We use Lagrangian coordinates and apply the tangential smoothing method introduced by Coutand-Shkoller to construct the approximation solutions. One of the key observations is that the Christodoulou-Lindblad type elliptic estimate together with magnetic diffusion not only gives the common "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.13931","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.13931/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:53:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"62sjm9jmCQ6lUo3sw8mOBNZ96xcqAwN6+eNFR0hmsyYSqxoOW9R3G0j5BUylARu88gatVFo6rYXQMqmFekyDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T02:01:45.056484Z"},"content_sha256":"4fd581aa8bffd21c950e0e280caf33e3f531d5aabb11a33b991810b095737ba7","schema_version":"1.0","event_id":"sha256:4fd581aa8bffd21c950e0e280caf33e3f531d5aabb11a33b991810b095737ba7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR/bundle.json","state_url":"https://pith.science/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR/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":"2026-08-19T02:01:45Z","links":{"resolver":"https://pith.science/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR","bundle":"https://pith.science/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR/bundle.json","state":"https://pith.science/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJRVAKWQVVO7ZNJ4JK3S5WRUUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FJRVAKWQVVO7ZNJ4JK3S5WRUUR","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":"dc82b774bf67a969153f212cfce7e2f1055e083628464043b5e6abcb408d3fd4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2020-12-27T12:27:57Z","title_canon_sha256":"555308e18e386817dc4d7aeca3e0e78030e1d1ecfc227288f09fa025f0a12193"},"schema_version":"1.0","source":{"id":"2012.13931","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.13931","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"arxiv_version","alias_value":"2012.13931v3","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.13931","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"pith_short_12","alias_value":"FJRVAKWQVVO7","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"pith_short_16","alias_value":"FJRVAKWQVVO7ZNJ4","created_at":"2026-07-05T05:53:46Z"},{"alias_kind":"pith_short_8","alias_value":"FJRVAKWQ","created_at":"2026-07-05T05:53:46Z"}],"graph_snapshots":[{"event_id":"sha256:4fd581aa8bffd21c950e0e280caf33e3f531d5aabb11a33b991810b095737ba7","target":"graph","created_at":"2026-07-05T05:53:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2012.13931/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the local well-posedness in Sobolev spaces of the free-boundary problem for compressible inviscid resistive isentropic MHD system under the Rayleigh-Taylor physical sign condition, which describes the motion of a free-boundary compressible plasma in an electro-magnetic field with magnetic diffusion. We use Lagrangian coordinates and apply the tangential smoothing method introduced by Coutand-Shkoller to construct the approximation solutions. One of the key observations is that the Christodoulou-Lindblad type elliptic estimate together with magnetic diffusion not only gives the common ","authors_text":"Junyan Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2020-12-27T12:27:57Z","title":"Local Well-posedness of the Free-Boundary Problem in Compressible Resistive Magnetohydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.13931","kind":"arxiv","version":3},"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:ad1f5fcbcf6e5b87066b86bb2e938efbbf3803b7f38de06839faf5899a61ea48","target":"record","created_at":"2026-07-05T05:53:46Z","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":"dc82b774bf67a969153f212cfce7e2f1055e083628464043b5e6abcb408d3fd4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2020-12-27T12:27:57Z","title_canon_sha256":"555308e18e386817dc4d7aeca3e0e78030e1d1ecfc227288f09fa025f0a12193"},"schema_version":"1.0","source":{"id":"2012.13931","kind":"arxiv","version":3}},"canonical_sha256":"2a63502ad0ad5dfcb53c4ab72eda34a459a85f535f3be04a0e4ffb086f16f034","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a63502ad0ad5dfcb53c4ab72eda34a459a85f535f3be04a0e4ffb086f16f034","first_computed_at":"2026-07-05T05:53:46.056747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:53:46.056747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5wZ2eUqxaFrZ1f6M0v1HA+5vrlPnHat8dTKZ5COg98yva4z6/q/ZdWYE509W2o9pHoPUBGwxGB3TPZL3TV6uBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:53:46.057184Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.13931","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad1f5fcbcf6e5b87066b86bb2e938efbbf3803b7f38de06839faf5899a61ea48","sha256:4fd581aa8bffd21c950e0e280caf33e3f531d5aabb11a33b991810b095737ba7"],"state_sha256":"b63102c82cb317700e40e14558a781a2b319f89d5055a41ce58853d7e24057a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y3qW+UACS5h4eupXzBB7SmR50E+hBfConlzaXpDTsZgLVy++YvvOGta12uWXu1Yb1ylUt8TkH9ruT9hrD7ktAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T02:01:45.062453Z","bundle_sha256":"03c658e499be9c8348ea22641c3b67a8fac74710a75d01ef1dd84381cd2564e8"}}