{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TBYRGNSWM3H6SONSCI6WHJIV7O","short_pith_number":"pith:TBYRGNSW","canonical_record":{"source":{"id":"1305.5327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-23T06:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"39cb9529974a5d5bb7e7077054b131b5acd85d7251e5eb000e3126f9bf3df85e","abstract_canon_sha256":"455a48bdc558be223ba5fb0ed3e1d6078d9d410816d978ec6cc60c580c90b2e1"},"schema_version":"1.0"},"canonical_sha256":"987113365666cfe939b2123d63a515fba1a8bb30d8c390bf61a621789d391009","source":{"kind":"arxiv","id":"1305.5327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5327","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5327v1","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5327","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"TBYRGNSWM3H6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TBYRGNSWM3H6SONS","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TBYRGNSW","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TBYRGNSWM3H6SONSCI6WHJIV7O","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-23T06:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"39cb9529974a5d5bb7e7077054b131b5acd85d7251e5eb000e3126f9bf3df85e","abstract_canon_sha256":"455a48bdc558be223ba5fb0ed3e1d6078d9d410816d978ec6cc60c580c90b2e1"},"schema_version":"1.0"},"canonical_sha256":"987113365666cfe939b2123d63a515fba1a8bb30d8c390bf61a621789d391009","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:05.099977Z","signature_b64":"gJAOdX27R6xe+s8zTTL16hEmzb+K5SFuXFQ6fXVp1vGwbALjwXNCWTCdUy7w+A7YQswcAMUkRTNtseTudkvXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"987113365666cfe939b2123d63a515fba1a8bb30d8c390bf61a621789d391009","last_reissued_at":"2026-05-18T03:25:05.099455Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:05.099455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5327","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":"2026-05-18T03:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PE03nALlm2dKBPNKqvqEVUWqjhz+ovBO40wUevu3//FSnwcSao87bQdwbwIZ/6PvKkcoIXESAtmBxCj61qtuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:26:26.925408Z"},"content_sha256":"2913f33771bfdce82d5571ba2cfafe176e0c384c11102bfd43129277897a175f","schema_version":"1.0","event_id":"sha256:2913f33771bfdce82d5571ba2cfafe176e0c384c11102bfd43129277897a175f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TBYRGNSWM3H6SONSCI6WHJIV7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence of vacuum electric field on the stability of a plasma-vacuum interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nikita Mandrik, Yuri Trakhinin","submitted_at":"2013-05-23T06:44:46Z","abstract_excerpt":"We study the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics. Unlike the classical statement, when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. We show that a sufficiently large vacuum electric field can make the planar interface violently unstable. We find and analyze a sufficient condition on the vacuum electric field that precludes violent instabilities. Under this condition satis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5327","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":"2026-05-18T03:25:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMuh79ORd7IdqbIJGX1B3f11ZeYW5XGRxcJFn94b1djC3PDs8O/HlitkhT9dDsoJitrvf5FBhefJYK7jELLsCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:26:26.926192Z"},"content_sha256":"b6b5eb669d7a026ffd477454df8a054f6d69f1b1358c2dd97fb3f490e97dc4b2","schema_version":"1.0","event_id":"sha256:b6b5eb669d7a026ffd477454df8a054f6d69f1b1358c2dd97fb3f490e97dc4b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBYRGNSWM3H6SONSCI6WHJIV7O/bundle.json","state_url":"https://pith.science/pith/TBYRGNSWM3H6SONSCI6WHJIV7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBYRGNSWM3H6SONSCI6WHJIV7O/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":"2026-06-10T22:26:26Z","links":{"resolver":"https://pith.science/pith/TBYRGNSWM3H6SONSCI6WHJIV7O","bundle":"https://pith.science/pith/TBYRGNSWM3H6SONSCI6WHJIV7O/bundle.json","state":"https://pith.science/pith/TBYRGNSWM3H6SONSCI6WHJIV7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBYRGNSWM3H6SONSCI6WHJIV7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TBYRGNSWM3H6SONSCI6WHJIV7O","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":"455a48bdc558be223ba5fb0ed3e1d6078d9d410816d978ec6cc60c580c90b2e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-23T06:44:46Z","title_canon_sha256":"39cb9529974a5d5bb7e7077054b131b5acd85d7251e5eb000e3126f9bf3df85e"},"schema_version":"1.0","source":{"id":"1305.5327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5327","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5327v1","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5327","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"TBYRGNSWM3H6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TBYRGNSWM3H6SONS","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TBYRGNSW","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:b6b5eb669d7a026ffd477454df8a054f6d69f1b1358c2dd97fb3f490e97dc4b2","target":"graph","created_at":"2026-05-18T03:25:05Z","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 study the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics. Unlike the classical statement, when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, we do not neglect the displacement current in the vacuum region and consider the Maxwell equations for electric and magnetic fields. We show that a sufficiently large vacuum electric field can make the planar interface violently unstable. We find and analyze a sufficient condition on the vacuum electric field that precludes violent instabilities. Under this condition satis","authors_text":"Nikita Mandrik, Yuri Trakhinin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-23T06:44:46Z","title":"Influence of vacuum electric field on the stability of a plasma-vacuum interface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5327","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":"sha256:2913f33771bfdce82d5571ba2cfafe176e0c384c11102bfd43129277897a175f","target":"record","created_at":"2026-05-18T03:25:05Z","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":"455a48bdc558be223ba5fb0ed3e1d6078d9d410816d978ec6cc60c580c90b2e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-23T06:44:46Z","title_canon_sha256":"39cb9529974a5d5bb7e7077054b131b5acd85d7251e5eb000e3126f9bf3df85e"},"schema_version":"1.0","source":{"id":"1305.5327","kind":"arxiv","version":1}},"canonical_sha256":"987113365666cfe939b2123d63a515fba1a8bb30d8c390bf61a621789d391009","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"987113365666cfe939b2123d63a515fba1a8bb30d8c390bf61a621789d391009","first_computed_at":"2026-05-18T03:25:05.099455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:05.099455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gJAOdX27R6xe+s8zTTL16hEmzb+K5SFuXFQ6fXVp1vGwbALjwXNCWTCdUy7w+A7YQswcAMUkRTNtseTudkvXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:05.099977Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2913f33771bfdce82d5571ba2cfafe176e0c384c11102bfd43129277897a175f","sha256:b6b5eb669d7a026ffd477454df8a054f6d69f1b1358c2dd97fb3f490e97dc4b2"],"state_sha256":"97b42392f70ee1ea1b82fa1c81a6d382e0dd485886e4d86192898854d05ce8e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kh5KDMjIPvQi8IvghBTl3idnfO8rDs5mgkGnDfpEm2LA7UEIfugAfTd8Vfvj2lO8iiVb5+6q4pA7OTg8thOFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:26:26.932117Z","bundle_sha256":"6bf3dabd6905e7862a297788361b93b24ba4ddc38b7876d9cf66b22fa0b48160"}}