{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:U7XBHOXPZ4Y7YRWBQX4QH7VGT2","short_pith_number":"pith:U7XBHOXP","canonical_record":{"source":{"id":"1710.10171","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2017-10-26T14:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"cdb5a137d50916cc18f68be02b58e9fef13895fa6cf6461af5b31a632c1299a1","abstract_canon_sha256":"caad999d6021b025af395281cb3421f314dc8cf2e083f3c09c0f019c2e419ebd"},"schema_version":"1.0"},"canonical_sha256":"a7ee13baefcf31fc46c185f903fea69eb883f93a61e33cf598a75ed500565818","source":{"kind":"arxiv","id":"1710.10171","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10171","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10171v1","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10171","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"U7XBHOXPZ4Y7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U7XBHOXPZ4Y7YRWB","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U7XBHOXP","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:U7XBHOXPZ4Y7YRWBQX4QH7VGT2","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10171","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2017-10-26T14:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"cdb5a137d50916cc18f68be02b58e9fef13895fa6cf6461af5b31a632c1299a1","abstract_canon_sha256":"caad999d6021b025af395281cb3421f314dc8cf2e083f3c09c0f019c2e419ebd"},"schema_version":"1.0"},"canonical_sha256":"a7ee13baefcf31fc46c185f903fea69eb883f93a61e33cf598a75ed500565818","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:54.617627Z","signature_b64":"vO8JRQxnRBYGNOi63gUzYJ8n2Eg0Oiw1foQhGQhCMgaYR6J1ZrSUqQ7TOwmjZJEiYr3WkL2dfamkynX24KoRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7ee13baefcf31fc46c185f903fea69eb883f93a61e33cf598a75ed500565818","last_reissued_at":"2026-05-18T00:31:54.617121Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:54.617121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10171","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":"2026-05-18T00:31:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jv9RW+nADUKv3svXbFEmwbpn1n+fMnSO1VH7sQY8TKkOQ0GOFV3AXcx4ZJ1YSr7KDqggrJhV8IEKg4zmx/YdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:45:19.178720Z"},"content_sha256":"30ff3fef5d9e26082152dfaafc45bb8ea576c8de83e96ab135ae89fec1597ab1","schema_version":"1.0","event_id":"sha256:30ff3fef5d9e26082152dfaafc45bb8ea576c8de83e96ab135ae89fec1597ab1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:U7XBHOXPZ4Y7YRWBQX4QH7VGT2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global weak solutions to the one-dimensional compressible heat-conductive MHD equations without resistivity","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yang Li, Yongzhong Sun","submitted_at":"2017-10-26T14:30:38Z","abstract_excerpt":"We investigate the initial-boundary value problem for one-dimensional compressible, heat-conductive, non-resistive MHD equations of viscous, ideal polytropic fluids in the Lagrangian coordinates. The existence and Lipschitz continuous dependence on the initial data of global weak solutions are established. Uniqueness of weak solutions follows as a direct consequence of stability."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10171","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":"2026-05-18T00:31:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Iswt3HGaFTp4XmOJgzXWdZbGAXxavrDf4BKQps88xj5HFxgJqtB2T8D0vqK81IaWQ4fCIKrEREDc2CGu4e2gCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:45:19.179293Z"},"content_sha256":"93a92cfa485c551618df4f96a5e8aee6b1442b55f3301a916ba7176968d577d7","schema_version":"1.0","event_id":"sha256:93a92cfa485c551618df4f96a5e8aee6b1442b55f3301a916ba7176968d577d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2/bundle.json","state_url":"https://pith.science/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2/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":"2026-05-28T18:45:19Z","links":{"resolver":"https://pith.science/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2","bundle":"https://pith.science/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2/bundle.json","state":"https://pith.science/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U7XBHOXPZ4Y7YRWBQX4QH7VGT2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U7XBHOXPZ4Y7YRWBQX4QH7VGT2","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":"caad999d6021b025af395281cb3421f314dc8cf2e083f3c09c0f019c2e419ebd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2017-10-26T14:30:38Z","title_canon_sha256":"cdb5a137d50916cc18f68be02b58e9fef13895fa6cf6461af5b31a632c1299a1"},"schema_version":"1.0","source":{"id":"1710.10171","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10171","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10171v1","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10171","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"U7XBHOXPZ4Y7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U7XBHOXPZ4Y7YRWB","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U7XBHOXP","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:93a92cfa485c551618df4f96a5e8aee6b1442b55f3301a916ba7176968d577d7","target":"graph","created_at":"2026-05-18T00:31:54Z","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 investigate the initial-boundary value problem for one-dimensional compressible, heat-conductive, non-resistive MHD equations of viscous, ideal polytropic fluids in the Lagrangian coordinates. The existence and Lipschitz continuous dependence on the initial data of global weak solutions are established. Uniqueness of weak solutions follows as a direct consequence of stability.","authors_text":"Yang Li, Yongzhong Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2017-10-26T14:30:38Z","title":"Global weak solutions to the one-dimensional compressible heat-conductive MHD equations without resistivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10171","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":"sha256:30ff3fef5d9e26082152dfaafc45bb8ea576c8de83e96ab135ae89fec1597ab1","target":"record","created_at":"2026-05-18T00:31:54Z","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":"caad999d6021b025af395281cb3421f314dc8cf2e083f3c09c0f019c2e419ebd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2017-10-26T14:30:38Z","title_canon_sha256":"cdb5a137d50916cc18f68be02b58e9fef13895fa6cf6461af5b31a632c1299a1"},"schema_version":"1.0","source":{"id":"1710.10171","kind":"arxiv","version":1}},"canonical_sha256":"a7ee13baefcf31fc46c185f903fea69eb883f93a61e33cf598a75ed500565818","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7ee13baefcf31fc46c185f903fea69eb883f93a61e33cf598a75ed500565818","first_computed_at":"2026-05-18T00:31:54.617121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:54.617121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vO8JRQxnRBYGNOi63gUzYJ8n2Eg0Oiw1foQhGQhCMgaYR6J1ZrSUqQ7TOwmjZJEiYr3WkL2dfamkynX24KoRBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:54.617627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10171","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30ff3fef5d9e26082152dfaafc45bb8ea576c8de83e96ab135ae89fec1597ab1","sha256:93a92cfa485c551618df4f96a5e8aee6b1442b55f3301a916ba7176968d577d7"],"state_sha256":"d1656da5785b952f55e0beb1b7b30b34ff184caa50005cc52e3f9b2cc6df97fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jX0Qr7hjuO0K/+zNqA5Kyys1CjgZzycV0D0ngxxR3BkQsFJXGjHhdL8VGcpIW1MLarKYmFmAs49POJ2ep9xAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:45:19.182385Z","bundle_sha256":"3071c88fb8d6aabfa98b48b04ed50e584d53f8827f2b103a187f0f9d5fa07f71"}}