{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:UNVYTK7O6E5VUSRK3QDX3OF7HM","short_pith_number":"pith:UNVYTK7O","canonical_record":{"source":{"id":"1202.1946","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-09T10:58:58Z","cross_cats_sorted":["astro-ph.HE","gr-qc"],"title_canon_sha256":"361f930d44946ee04efd1a17e6fe0c06c3b9ac59eee39650d10eeffcfe9311bf","abstract_canon_sha256":"4884463818bbcdfc27b27b370db6a054af715e571301d932f4bd1d77c9894daf"},"schema_version":"1.0"},"canonical_sha256":"a36b89abeef13b5a4a2adc077db8bf3b385da44447423807c55459af0d6474af","source":{"kind":"arxiv","id":"1202.1946","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1946","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1946v2","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1946","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"UNVYTK7O6E5V","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UNVYTK7O6E5VUSRK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UNVYTK7O","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:UNVYTK7O6E5VUSRK3QDX3OF7HM","target":"record","payload":{"canonical_record":{"source":{"id":"1202.1946","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-09T10:58:58Z","cross_cats_sorted":["astro-ph.HE","gr-qc"],"title_canon_sha256":"361f930d44946ee04efd1a17e6fe0c06c3b9ac59eee39650d10eeffcfe9311bf","abstract_canon_sha256":"4884463818bbcdfc27b27b370db6a054af715e571301d932f4bd1d77c9894daf"},"schema_version":"1.0"},"canonical_sha256":"a36b89abeef13b5a4a2adc077db8bf3b385da44447423807c55459af0d6474af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:31.854721Z","signature_b64":"h7juGT7ZoSKsVLOuEhWWZQ0FK29C2Pb9FZVMhG1gWOVv+fzQvDkcRfw0FDT2hy1b9CxuZT3ueKCI78EdcKsBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a36b89abeef13b5a4a2adc077db8bf3b385da44447423807c55459af0d6474af","last_reissued_at":"2026-05-18T01:58:31.854062Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:31.854062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.1946","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LcHUTqdrQCX/f8zBNigRFQB70MDE88A1CQNTGy7ijj55JopjWlcaqypfi5e8FOg9kwIFEu+wKO65U9/yVXGDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:53:54.441509Z"},"content_sha256":"81c03f2e5c6691c9e0d7a7972b5899e775b5248c51c690d644909b9bc4280e81","schema_version":"1.0","event_id":"sha256:81c03f2e5c6691c9e0d7a7972b5899e775b5248c51c690d644909b9bc4280e81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:UNVYTK7O6E5VUSRK3QDX3OF7HM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetrizations of RMHD equations and stability of relativistic current-vortex sheets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","gr-qc"],"primary_cat":"math.AP","authors_text":"Heinrich Freist\\\"uhler, Yuri Trakhinin","submitted_at":"2012-02-09T10:58:58Z","abstract_excerpt":"We consider the equations of relativistic magnetohydrodynamics (RMHD) in the case of special relativity. For the fluid rest frame a nonconservative reformulation of the RMHD equations gives a symmetric system for the vector of primitive (physical) variables. By applying the Lorentz transformation to this system we find a concrete form of symmetric matrices in the LAB-frame. The resulting symmetric system in terms of primitive variables is important for the study of various initial boundary value problems for the RMHD equations. We also find a so-called secondary symmetrization whose direct con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1946","kind":"arxiv","version":2},"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":"2026-05-18T01:58:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJ07kyUUyvOYLoDAgEs01qpwRNgsevs9XR3kMAREdIOwb0CMmZS/nhQwt1qgi33XTzqUZLkvwJUs/KUu5HZbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:53:54.442202Z"},"content_sha256":"ab5d681573c601275aa80c8624892e4906d2a6020bd5a8b078da957c7bfb899d","schema_version":"1.0","event_id":"sha256:ab5d681573c601275aa80c8624892e4906d2a6020bd5a8b078da957c7bfb899d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM/bundle.json","state_url":"https://pith.science/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM/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":"2026-06-10T23:53:54Z","links":{"resolver":"https://pith.science/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM","bundle":"https://pith.science/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM/bundle.json","state":"https://pith.science/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UNVYTK7O6E5VUSRK3QDX3OF7HM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UNVYTK7O6E5VUSRK3QDX3OF7HM","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":"4884463818bbcdfc27b27b370db6a054af715e571301d932f4bd1d77c9894daf","cross_cats_sorted":["astro-ph.HE","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-09T10:58:58Z","title_canon_sha256":"361f930d44946ee04efd1a17e6fe0c06c3b9ac59eee39650d10eeffcfe9311bf"},"schema_version":"1.0","source":{"id":"1202.1946","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1946","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1946v2","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1946","created_at":"2026-05-18T01:58:31Z"},{"alias_kind":"pith_short_12","alias_value":"UNVYTK7O6E5V","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UNVYTK7O6E5VUSRK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UNVYTK7O","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:ab5d681573c601275aa80c8624892e4906d2a6020bd5a8b078da957c7bfb899d","target":"graph","created_at":"2026-05-18T01:58:31Z","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 consider the equations of relativistic magnetohydrodynamics (RMHD) in the case of special relativity. For the fluid rest frame a nonconservative reformulation of the RMHD equations gives a symmetric system for the vector of primitive (physical) variables. By applying the Lorentz transformation to this system we find a concrete form of symmetric matrices in the LAB-frame. The resulting symmetric system in terms of primitive variables is important for the study of various initial boundary value problems for the RMHD equations. We also find a so-called secondary symmetrization whose direct con","authors_text":"Heinrich Freist\\\"uhler, Yuri Trakhinin","cross_cats":["astro-ph.HE","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-09T10:58:58Z","title":"Symmetrizations of RMHD equations and stability of relativistic current-vortex sheets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1946","kind":"arxiv","version":2},"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":"sha256:81c03f2e5c6691c9e0d7a7972b5899e775b5248c51c690d644909b9bc4280e81","target":"record","created_at":"2026-05-18T01:58:31Z","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":"4884463818bbcdfc27b27b370db6a054af715e571301d932f4bd1d77c9894daf","cross_cats_sorted":["astro-ph.HE","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-09T10:58:58Z","title_canon_sha256":"361f930d44946ee04efd1a17e6fe0c06c3b9ac59eee39650d10eeffcfe9311bf"},"schema_version":"1.0","source":{"id":"1202.1946","kind":"arxiv","version":2}},"canonical_sha256":"a36b89abeef13b5a4a2adc077db8bf3b385da44447423807c55459af0d6474af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a36b89abeef13b5a4a2adc077db8bf3b385da44447423807c55459af0d6474af","first_computed_at":"2026-05-18T01:58:31.854062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:31.854062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h7juGT7ZoSKsVLOuEhWWZQ0FK29C2Pb9FZVMhG1gWOVv+fzQvDkcRfw0FDT2hy1b9CxuZT3ueKCI78EdcKsBAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:31.854721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1946","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81c03f2e5c6691c9e0d7a7972b5899e775b5248c51c690d644909b9bc4280e81","sha256:ab5d681573c601275aa80c8624892e4906d2a6020bd5a8b078da957c7bfb899d"],"state_sha256":"d0c719744cb57a9f41f242d509b79a061d64eadd660f635b40029a3305900402"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ChRLrqT0+WjAYd8um0ix/FcnSQJciDdhdv8OaurkXvdV+0GcyYPx7SapSQZPDydDLGuvz3pkVXQMA0fd3mwsDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T23:53:54.445922Z","bundle_sha256":"efc686586a20b9f1f78a228fcd733147002892d91ae97a7841faefe2213ee862"}}