{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B7YQDT3WISVP4YNL72KEUJTNQ7","short_pith_number":"pith:B7YQDT3W","canonical_record":{"source":{"id":"1612.04123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-13T12:21:08Z","cross_cats_sorted":[],"title_canon_sha256":"6327c06d9a02036c2f7e291645faac68c4bc841eb76e19f446119b44c4ebfc39","abstract_canon_sha256":"d99b2052858f7da8337ffd67388c3671b905a929b24f43fa5c62d565623c7c08"},"schema_version":"1.0"},"canonical_sha256":"0ff101cf7644aafe61abfe944a266d87f2b4b9137dd2d06eb9e7b5cb56d46f61","source":{"kind":"arxiv","id":"1612.04123","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04123","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04123v1","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04123","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"B7YQDT3WISVP","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B7YQDT3WISVP4YNL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B7YQDT3W","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B7YQDT3WISVP4YNL72KEUJTNQ7","target":"record","payload":{"canonical_record":{"source":{"id":"1612.04123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-13T12:21:08Z","cross_cats_sorted":[],"title_canon_sha256":"6327c06d9a02036c2f7e291645faac68c4bc841eb76e19f446119b44c4ebfc39","abstract_canon_sha256":"d99b2052858f7da8337ffd67388c3671b905a929b24f43fa5c62d565623c7c08"},"schema_version":"1.0"},"canonical_sha256":"0ff101cf7644aafe61abfe944a266d87f2b4b9137dd2d06eb9e7b5cb56d46f61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:01.590765Z","signature_b64":"bcCIjAsPyQjB8l19nGeQQI/s2ASvXd3+KQVS3ArsX75UqnbNOFjcN/Yny833WCUFmH2BtMp8VmrVHQROe8pWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ff101cf7644aafe61abfe944a266d87f2b4b9137dd2d06eb9e7b5cb56d46f61","last_reissued_at":"2026-05-18T00:26:01.590009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:01.590009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.04123","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":"2026-05-18T00:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wsf1XkSY9RYbPjbXe64YU6HAAq8gQnRolwOoGtv9cA9mG2Q/dz+UGPXuivI1YJCg+UwnM/qYbpm4ZUv2x+ADDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:58:40.892947Z"},"content_sha256":"facad484c7fcf9401c93d756bca554416a15a4ec65544f2e445c7514335f816b","schema_version":"1.0","event_id":"sha256:facad484c7fcf9401c93d756bca554416a15a4ec65544f2e445c7514335f816b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B7YQDT3WISVP4YNL72KEUJTNQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local existence of MHD contact discontinuities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alessandro Morando, Paola Trebeschi, Yuri Trakhinin","submitted_at":"2016-12-13T12:21:08Z","abstract_excerpt":"We prove the local-in-time existence of solutions with a contact discontinuity of the equations of ideal compressible magnetohydrodynamics (MHD) for 2D planar flows provided that the Rayleigh-Taylor sign condition $[\\partial p/\\partial N]<0$ on the jump of the normal derivative of the pressure is satisfied at each point of the initial discontinuity. MHD contact discontinuities are characteristic discontinuities with no flow across the discontinuity for which the pressure, the magnetic field and the velocity are continuous whereas the density and the entropy may have a jump. This paper is a nat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04123","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":"2026-05-18T00:26:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/WJ5GoMzX9LjDOlqHxGwWaHZ9V/xYAErBoFhLGdTjZPuP5YTVPwMUDc0bW1+RmZhHS3OnoDKU/OH/h2Iv6iAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:58:40.893282Z"},"content_sha256":"80c63fda1ae1e606b0309e85a9e36525045fb8e223226647d936ddadd6caa0d6","schema_version":"1.0","event_id":"sha256:80c63fda1ae1e606b0309e85a9e36525045fb8e223226647d936ddadd6caa0d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B7YQDT3WISVP4YNL72KEUJTNQ7/bundle.json","state_url":"https://pith.science/pith/B7YQDT3WISVP4YNL72KEUJTNQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B7YQDT3WISVP4YNL72KEUJTNQ7/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":"2026-06-01T21:58:40Z","links":{"resolver":"https://pith.science/pith/B7YQDT3WISVP4YNL72KEUJTNQ7","bundle":"https://pith.science/pith/B7YQDT3WISVP4YNL72KEUJTNQ7/bundle.json","state":"https://pith.science/pith/B7YQDT3WISVP4YNL72KEUJTNQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B7YQDT3WISVP4YNL72KEUJTNQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B7YQDT3WISVP4YNL72KEUJTNQ7","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":"d99b2052858f7da8337ffd67388c3671b905a929b24f43fa5c62d565623c7c08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-13T12:21:08Z","title_canon_sha256":"6327c06d9a02036c2f7e291645faac68c4bc841eb76e19f446119b44c4ebfc39"},"schema_version":"1.0","source":{"id":"1612.04123","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04123","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04123v1","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04123","created_at":"2026-05-18T00:26:01Z"},{"alias_kind":"pith_short_12","alias_value":"B7YQDT3WISVP","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B7YQDT3WISVP4YNL","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B7YQDT3W","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:80c63fda1ae1e606b0309e85a9e36525045fb8e223226647d936ddadd6caa0d6","target":"graph","created_at":"2026-05-18T00:26:01Z","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 prove the local-in-time existence of solutions with a contact discontinuity of the equations of ideal compressible magnetohydrodynamics (MHD) for 2D planar flows provided that the Rayleigh-Taylor sign condition $[\\partial p/\\partial N]<0$ on the jump of the normal derivative of the pressure is satisfied at each point of the initial discontinuity. MHD contact discontinuities are characteristic discontinuities with no flow across the discontinuity for which the pressure, the magnetic field and the velocity are continuous whereas the density and the entropy may have a jump. This paper is a nat","authors_text":"Alessandro Morando, Paola Trebeschi, Yuri Trakhinin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-13T12:21:08Z","title":"Local existence of MHD contact discontinuities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04123","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:facad484c7fcf9401c93d756bca554416a15a4ec65544f2e445c7514335f816b","target":"record","created_at":"2026-05-18T00:26:01Z","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":"d99b2052858f7da8337ffd67388c3671b905a929b24f43fa5c62d565623c7c08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-13T12:21:08Z","title_canon_sha256":"6327c06d9a02036c2f7e291645faac68c4bc841eb76e19f446119b44c4ebfc39"},"schema_version":"1.0","source":{"id":"1612.04123","kind":"arxiv","version":1}},"canonical_sha256":"0ff101cf7644aafe61abfe944a266d87f2b4b9137dd2d06eb9e7b5cb56d46f61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ff101cf7644aafe61abfe944a266d87f2b4b9137dd2d06eb9e7b5cb56d46f61","first_computed_at":"2026-05-18T00:26:01.590009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:01.590009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bcCIjAsPyQjB8l19nGeQQI/s2ASvXd3+KQVS3ArsX75UqnbNOFjcN/Yny833WCUFmH2BtMp8VmrVHQROe8pWDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:01.590765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04123","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:facad484c7fcf9401c93d756bca554416a15a4ec65544f2e445c7514335f816b","sha256:80c63fda1ae1e606b0309e85a9e36525045fb8e223226647d936ddadd6caa0d6"],"state_sha256":"cd5f0dabf99b526c4f6ec5885ed472223c81c97e46eaa63c4e573e227f34067f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"moDM5Dm+XHGdSeNQLuvyUOxOIh+c3pq9LnH9WVUdH2rzC8cf12bshGqNSyI9RTrCv5sScJD7sb3rPMFY+R0ZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:58:40.895139Z","bundle_sha256":"865b34ce67863db1acb125522489c6edd8e09f2e8aa1dc11c65688a8748fe053"}}