{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:R3VZTJAPGWPQIWROFB4ZMTDTAU","short_pith_number":"pith:R3VZTJAP","canonical_record":{"source":{"id":"1801.07589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-21T07:26:51Z","cross_cats_sorted":[],"title_canon_sha256":"30bb9c1c2e9b4a342a71dc79fa95fe00398e9491a1da4ae6cbff6ae7fb30e76e","abstract_canon_sha256":"0dcf2994c9c885ef501caf624822250ccec012e115fa9a80c9eb96b70a94004f"},"schema_version":"1.0"},"canonical_sha256":"8eeb99a40f359f045a2e2879964c73050a5ab591c4624056e2bb536248a6a782","source":{"kind":"arxiv","id":"1801.07589","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07589","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07589v1","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07589","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"R3VZTJAPGWPQ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R3VZTJAPGWPQIWRO","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R3VZTJAP","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:R3VZTJAPGWPQIWROFB4ZMTDTAU","target":"record","payload":{"canonical_record":{"source":{"id":"1801.07589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-21T07:26:51Z","cross_cats_sorted":[],"title_canon_sha256":"30bb9c1c2e9b4a342a71dc79fa95fe00398e9491a1da4ae6cbff6ae7fb30e76e","abstract_canon_sha256":"0dcf2994c9c885ef501caf624822250ccec012e115fa9a80c9eb96b70a94004f"},"schema_version":"1.0"},"canonical_sha256":"8eeb99a40f359f045a2e2879964c73050a5ab591c4624056e2bb536248a6a782","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:12.496161Z","signature_b64":"pqISaajCYnc/t2k58Wke3NcGyNIlr2HKKadVVnmJl4nu9bF8A+t+1HwwFSPTnCdQDRIs8DyQjo6E8tCJPgTyBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8eeb99a40f359f045a2e2879964c73050a5ab591c4624056e2bb536248a6a782","last_reissued_at":"2026-05-18T00:25:12.495588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:12.495588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.07589","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":"2026-05-18T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IHjyxrUa647xf88IUpOfoM54k8H/axvUGPnotgj/BmJnow8FmFOW8TPI0iVvSKZ8kwHmVVB8R7uoegeTKPxCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:20:11.131700Z"},"content_sha256":"dba3141fbedca663c501cdd1aec27e90fe1149c40ad67a12aaf32610e0283085","schema_version":"1.0","event_id":"sha256:dba3141fbedca663c501cdd1aec27e90fe1149c40ad67a12aaf32610e0283085"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:R3VZTJAPGWPQIWROFB4ZMTDTAU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong solutions to the Cauchy problem of the two-dimensional non-baratropic non-resistive magnetohydrodynamic equations with zero heat conduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xin Zhong","submitted_at":"2018-01-21T07:26:51Z","abstract_excerpt":"This paper concerns the Cauchy problem of the non-baratropic non-resistive magnetohydrodynamic (MHD) equations with zero heat conduction on the whole two-dimensional (2D) space with vacuum as far field density. By delicate weighted energy estimates, we prove that there exists a local strong solution provided the initial density and the initial magnetic decay not too slow at infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07589","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":"2026-05-18T00:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COrYzd3u5FcPtWhGyBakFuAlJE3LT0NMuR1oDyqzgSvBttPBoJRW7XUqRG7cCFjKO62dtikfk6i0gxATIV+uBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:20:11.132402Z"},"content_sha256":"62fbd1f1a8630d71c0b595a636296ace5d36094f1b1d0557371ff40655504422","schema_version":"1.0","event_id":"sha256:62fbd1f1a8630d71c0b595a636296ace5d36094f1b1d0557371ff40655504422"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU/bundle.json","state_url":"https://pith.science/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU/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":"2026-05-27T21:20:11Z","links":{"resolver":"https://pith.science/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU","bundle":"https://pith.science/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU/bundle.json","state":"https://pith.science/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R3VZTJAPGWPQIWROFB4ZMTDTAU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:R3VZTJAPGWPQIWROFB4ZMTDTAU","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":"0dcf2994c9c885ef501caf624822250ccec012e115fa9a80c9eb96b70a94004f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-21T07:26:51Z","title_canon_sha256":"30bb9c1c2e9b4a342a71dc79fa95fe00398e9491a1da4ae6cbff6ae7fb30e76e"},"schema_version":"1.0","source":{"id":"1801.07589","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07589","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07589v1","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07589","created_at":"2026-05-18T00:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"R3VZTJAPGWPQ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"R3VZTJAPGWPQIWRO","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"R3VZTJAP","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:62fbd1f1a8630d71c0b595a636296ace5d36094f1b1d0557371ff40655504422","target":"graph","created_at":"2026-05-18T00:25:12Z","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":"This paper concerns the Cauchy problem of the non-baratropic non-resistive magnetohydrodynamic (MHD) equations with zero heat conduction on the whole two-dimensional (2D) space with vacuum as far field density. By delicate weighted energy estimates, we prove that there exists a local strong solution provided the initial density and the initial magnetic decay not too slow at infinity.","authors_text":"Xin Zhong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-21T07:26:51Z","title":"Strong solutions to the Cauchy problem of the two-dimensional non-baratropic non-resistive magnetohydrodynamic equations with zero heat conduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07589","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:dba3141fbedca663c501cdd1aec27e90fe1149c40ad67a12aaf32610e0283085","target":"record","created_at":"2026-05-18T00:25:12Z","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":"0dcf2994c9c885ef501caf624822250ccec012e115fa9a80c9eb96b70a94004f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-21T07:26:51Z","title_canon_sha256":"30bb9c1c2e9b4a342a71dc79fa95fe00398e9491a1da4ae6cbff6ae7fb30e76e"},"schema_version":"1.0","source":{"id":"1801.07589","kind":"arxiv","version":1}},"canonical_sha256":"8eeb99a40f359f045a2e2879964c73050a5ab591c4624056e2bb536248a6a782","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8eeb99a40f359f045a2e2879964c73050a5ab591c4624056e2bb536248a6a782","first_computed_at":"2026-05-18T00:25:12.495588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:12.495588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pqISaajCYnc/t2k58Wke3NcGyNIlr2HKKadVVnmJl4nu9bF8A+t+1HwwFSPTnCdQDRIs8DyQjo6E8tCJPgTyBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:12.496161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07589","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba3141fbedca663c501cdd1aec27e90fe1149c40ad67a12aaf32610e0283085","sha256:62fbd1f1a8630d71c0b595a636296ace5d36094f1b1d0557371ff40655504422"],"state_sha256":"1d36236a3b7481ea6b7600e0d8a5fac2fd1a6bb6fb5a9e5bb06697f236058907"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rp8Y9CeU0RmDImWIk6HY6lv//OGeUVAHPJ1d3a83OrIVXXc9PcSumcgg+oeFXbGVFUkhEfM81WqdHjbEPpsrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:20:11.136147Z","bundle_sha256":"daa4a8c624ed921d88d78df6cad4b668eb124601c986ebf228b7f51271faac91"}}