{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7RKHA5LPQKV2MP2JXRCRGWQWCB","short_pith_number":"pith:7RKHA5LP","canonical_record":{"source":{"id":"1210.5584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-10-20T07:08:11Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn","physics.plasm-ph"],"title_canon_sha256":"a28f8d42b34df3a860679ef9801825a5353c9d0270b4b18b6d5d9d91e3125da3","abstract_canon_sha256":"4191975d20652ef26041e223b1fe4b3e0ae2c76c93243f89360266a9267cad65"},"schema_version":"1.0"},"canonical_sha256":"fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc","source":{"kind":"arxiv","id":"1210.5584","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5584","created_at":"2026-05-18T01:53:45Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5584v1","created_at":"2026-05-18T01:53:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5584","created_at":"2026-05-18T01:53:45Z"},{"alias_kind":"pith_short_12","alias_value":"7RKHA5LPQKV2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7RKHA5LPQKV2MP2J","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7RKHA5LP","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7RKHA5LPQKV2MP2JXRCRGWQWCB","target":"record","payload":{"canonical_record":{"source":{"id":"1210.5584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-10-20T07:08:11Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn","physics.plasm-ph"],"title_canon_sha256":"a28f8d42b34df3a860679ef9801825a5353c9d0270b4b18b6d5d9d91e3125da3","abstract_canon_sha256":"4191975d20652ef26041e223b1fe4b3e0ae2c76c93243f89360266a9267cad65"},"schema_version":"1.0"},"canonical_sha256":"fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:45.540198Z","signature_b64":"hTFbnGFTliw0bygsAktAL6s5u+JbVD9Iz5NLsUXz7KwjU570PBEB/WU/hK6ZUUeWULivKNnNspdtpnF+bkPFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc","last_reissued_at":"2026-05-18T01:53:45.539539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:45.539539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.5584","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":"2026-05-18T01:53:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ne1TQD7xCumoF28Vn+kto5w6nBRP0q33mk+OMuKRGzJCjX5lQeSwi3Jtj/hG9D0G8NevDxjTlEo9WFQO2dNUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:08:57.707437Z"},"content_sha256":"eb6396a2e0623b9f98b8f911520d757a449d22129acc19ac60a5ee40814fba1f","schema_version":"1.0","event_id":"sha256:eb6396a2e0623b9f98b8f911520d757a449d22129acc19ac60a5ee40814fba1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7RKHA5LPQKV2MP2JXRCRGWQWCB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regular and non-regular solutions of the Riemann problem in ideal magnetohydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn","physics.plasm-ph"],"primary_cat":"astro-ph.HE","authors_text":"Kazuya Takahashi, Shoichi Yamada","submitted_at":"2012-10-20T07:08:11Z","abstract_excerpt":"We have built a code to numerically solve the Riemann problem in ideal magnetohydrodynamics (MHD) for an arbitrary initial condition to investigate a variety of solutions more thoroughly. The code can handle not only regular solutions, in which no intermediate shocks are involved, but also all types of non-regular solutions if any. As a first application, we explored the neighborhood of the initial condition that was first picked up by Brio & Wu (1988) and has been frequently employed in the literature as a standard problem to validate numerical codes. Contrary to the conventional wisdom that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5584","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":"2026-05-18T01:53:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"af2cMl62iMtKFX8zO9qLKpE0F1S0SHpgerFZHu4xoiXPlYoMKk2zlUhV9Fv9zjNUOb2TAYf9BY4XfGBvUtO1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:08:57.707826Z"},"content_sha256":"4ba4e58d0a4cf2c30f9cba1705bcc60e10bb9f2908a546ef3241c835b8c087fa","schema_version":"1.0","event_id":"sha256:4ba4e58d0a4cf2c30f9cba1705bcc60e10bb9f2908a546ef3241c835b8c087fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB/bundle.json","state_url":"https://pith.science/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB/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":"2026-06-06T20:08:57Z","links":{"resolver":"https://pith.science/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB","bundle":"https://pith.science/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB/bundle.json","state":"https://pith.science/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7RKHA5LPQKV2MP2JXRCRGWQWCB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7RKHA5LPQKV2MP2JXRCRGWQWCB","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":"4191975d20652ef26041e223b1fe4b3e0ae2c76c93243f89360266a9267cad65","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-10-20T07:08:11Z","title_canon_sha256":"a28f8d42b34df3a860679ef9801825a5353c9d0270b4b18b6d5d9d91e3125da3"},"schema_version":"1.0","source":{"id":"1210.5584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5584","created_at":"2026-05-18T01:53:45Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5584v1","created_at":"2026-05-18T01:53:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5584","created_at":"2026-05-18T01:53:45Z"},{"alias_kind":"pith_short_12","alias_value":"7RKHA5LPQKV2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7RKHA5LPQKV2MP2J","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7RKHA5LP","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:4ba4e58d0a4cf2c30f9cba1705bcc60e10bb9f2908a546ef3241c835b8c087fa","target":"graph","created_at":"2026-05-18T01:53:45Z","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 have built a code to numerically solve the Riemann problem in ideal magnetohydrodynamics (MHD) for an arbitrary initial condition to investigate a variety of solutions more thoroughly. The code can handle not only regular solutions, in which no intermediate shocks are involved, but also all types of non-regular solutions if any. As a first application, we explored the neighborhood of the initial condition that was first picked up by Brio & Wu (1988) and has been frequently employed in the literature as a standard problem to validate numerical codes. Contrary to the conventional wisdom that ","authors_text":"Kazuya Takahashi, Shoichi Yamada","cross_cats":["math-ph","math.MP","physics.flu-dyn","physics.plasm-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-10-20T07:08:11Z","title":"Regular and non-regular solutions of the Riemann problem in ideal magnetohydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5584","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:eb6396a2e0623b9f98b8f911520d757a449d22129acc19ac60a5ee40814fba1f","target":"record","created_at":"2026-05-18T01:53:45Z","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":"4191975d20652ef26041e223b1fe4b3e0ae2c76c93243f89360266a9267cad65","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-10-20T07:08:11Z","title_canon_sha256":"a28f8d42b34df3a860679ef9801825a5353c9d0270b4b18b6d5d9d91e3125da3"},"schema_version":"1.0","source":{"id":"1210.5584","kind":"arxiv","version":1}},"canonical_sha256":"fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc5470756f82aba63f49bc45135a161075a2449f550d04c624475b6d04d9ddbc","first_computed_at":"2026-05-18T01:53:45.539539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:45.539539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hTFbnGFTliw0bygsAktAL6s5u+JbVD9Iz5NLsUXz7KwjU570PBEB/WU/hK6ZUUeWULivKNnNspdtpnF+bkPFDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:45.540198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb6396a2e0623b9f98b8f911520d757a449d22129acc19ac60a5ee40814fba1f","sha256:4ba4e58d0a4cf2c30f9cba1705bcc60e10bb9f2908a546ef3241c835b8c087fa"],"state_sha256":"5f0d1d376644f06c666ef98a74ad478e09351e430ce03d4ce041c14a549e8cb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IvUvy3GVmxroS5sHXbJuw4MhV4bod7Dt20e9bOfDeueoye1L4wCg+cchuF6bUCy5WL4e5IXB6pNYP2HvQZqvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:08:57.710647Z","bundle_sha256":"84faf9839e8b3f2281356abbf8a42d58cac08923c909777aaab9e3faa90ce718"}}