{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DE3J7HUMCFG7X3M5D4LAIT2LVR","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":"c3acde31c64c7f6fe94fb8d0afc711ee38eb690342990604c10530942feb959f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-20T10:52:40Z","title_canon_sha256":"661994952b1aabf09947709087c26127aa0270ac6f299da7a3738edf982f53c7"},"schema_version":"1.0","source":{"id":"1505.05313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05313","created_at":"2026-05-18T02:03:58Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05313v1","created_at":"2026-05-18T02:03:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05313","created_at":"2026-05-18T02:03:58Z"},{"alias_kind":"pith_short_12","alias_value":"DE3J7HUMCFG7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DE3J7HUMCFG7X3M5","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DE3J7HUM","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:738a4f2a90004602c42f136a71fe67fd10dfa4574bc32dcaf69a31a4d372b01f","target":"graph","created_at":"2026-05-18T02:03:58Z","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 note studies classical magnetohydrodynamic shock waves in an inviscid fluidic plasma that is assumed to be a perfect conductor of heat as well as of electricity. For this mathematically prototypical material, it identifies a critical manifold in parameter space, across which slow classical MHD shock waves undergo emergence of a complex conjugate pair of unstable transverse modes. In the reflectionally symmetric case of parallel shocks, this emergence happens at the spectral value 0, and the critical manifold possesses a simple explicit algebraic representation. Results of refined numerica","authors_text":"Felix Kleber, Heinrich Freistuhler, Johannes Schropp","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-20T10:52:40Z","title":"Emergence of Unstable Modes for Shock Waves in Ideal MHD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05313","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:b0b4979b1f4afd86540cdeae4fd25450b4baac8094103980bfb6089207385ef5","target":"record","created_at":"2026-05-18T02:03:58Z","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":"c3acde31c64c7f6fe94fb8d0afc711ee38eb690342990604c10530942feb959f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-20T10:52:40Z","title_canon_sha256":"661994952b1aabf09947709087c26127aa0270ac6f299da7a3738edf982f53c7"},"schema_version":"1.0","source":{"id":"1505.05313","kind":"arxiv","version":1}},"canonical_sha256":"19369f9e8c114dfbed9d1f16044f4bac65aaedb2b237f891232ad28a4d3e6ea5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19369f9e8c114dfbed9d1f16044f4bac65aaedb2b237f891232ad28a4d3e6ea5","first_computed_at":"2026-05-18T02:03:58.699570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:58.699570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A0rNu13wIAVq5gsyb4OzldN89XV6RU5pNVYNUJgYoLVrN/dPlshk2o60ZpEzd4d6FYWA6DrQdp/a5YopSwZtCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:58.700349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0b4979b1f4afd86540cdeae4fd25450b4baac8094103980bfb6089207385ef5","sha256:738a4f2a90004602c42f136a71fe67fd10dfa4574bc32dcaf69a31a4d372b01f"],"state_sha256":"1611978b3fc7ad3da841d38b2ea28074f76d4126d2f4b446d19a2fecab31e22a"}