{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4F7EBVH3R7332IHXA446QL6HGR","short_pith_number":"pith:4F7EBVH3","canonical_record":{"source":{"id":"1702.04870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-16T06:24:18Z","cross_cats_sorted":[],"title_canon_sha256":"5428acf4d14aebc523e8677c2fac64ca5e47ac8d90c8637ffec05a7da16f483c","abstract_canon_sha256":"dcc0048dd371aa3744c08a9fbe6dc441ca652f7390b09f684a177a6fc5c54c14"},"schema_version":"1.0"},"canonical_sha256":"e17e40d4fb8ff7bd20f70739e82fc7344e9cf4efbc204a141614b452a6b303eb","source":{"kind":"arxiv","id":"1702.04870","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04870","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04870v1","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04870","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"4F7EBVH3R733","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4F7EBVH3R7332IHX","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4F7EBVH3","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4F7EBVH3R7332IHXA446QL6HGR","target":"record","payload":{"canonical_record":{"source":{"id":"1702.04870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-16T06:24:18Z","cross_cats_sorted":[],"title_canon_sha256":"5428acf4d14aebc523e8677c2fac64ca5e47ac8d90c8637ffec05a7da16f483c","abstract_canon_sha256":"dcc0048dd371aa3744c08a9fbe6dc441ca652f7390b09f684a177a6fc5c54c14"},"schema_version":"1.0"},"canonical_sha256":"e17e40d4fb8ff7bd20f70739e82fc7344e9cf4efbc204a141614b452a6b303eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:36.948866Z","signature_b64":"ZOmxB0n1V+aq8Oha4uv4m693xhLRNt/dlAGqYDAS9FyVcZlBSgeqFYIX5F6guZk7ir2usocBWCjo9Ioiw0YEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e17e40d4fb8ff7bd20f70739e82fc7344e9cf4efbc204a141614b452a6b303eb","last_reissued_at":"2026-05-18T00:50:36.948274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:36.948274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.04870","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":"2026-05-18T00:50:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DF3dTYCy6ZyqKOL+bFY0kirsP2vYoHAnahCyKDy/UzBAnzD5XksLHm/GAnJY+5lzYomUNrJTHNq3KRBAgcSoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:13:22.621729Z"},"content_sha256":"2b776515e38828b0064e92fa64acbb09da5aa65d5fc2dfe52ec20114be2c2a96","schema_version":"1.0","event_id":"sha256:2b776515e38828b0064e92fa64acbb09da5aa65d5fc2dfe52ec20114be2c2a96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4F7EBVH3R7332IHXA446QL6HGR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Measure-valued solutions to the complete Euler system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduard Feireisl, Jan Brezina","submitted_at":"2017-02-16T06:24:18Z","abstract_excerpt":"We introduce the concept of dissipative measure-valued solution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04870","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":"2026-05-18T00:50:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D9Ed85V5nAXv5osgfYpejRE26rWejFP1S0fcgf/XQuqGeZtWICfkiTgO8usRosvdIx+VR6oPgvjLnnq8LXElBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:13:22.622378Z"},"content_sha256":"1da8b7c0fa133950166dd40235e8f0c537f69749753e4de0ccb68c7b9ccc45e9","schema_version":"1.0","event_id":"sha256:1da8b7c0fa133950166dd40235e8f0c537f69749753e4de0ccb68c7b9ccc45e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4F7EBVH3R7332IHXA446QL6HGR/bundle.json","state_url":"https://pith.science/pith/4F7EBVH3R7332IHXA446QL6HGR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4F7EBVH3R7332IHXA446QL6HGR/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":"2026-05-26T06:13:22Z","links":{"resolver":"https://pith.science/pith/4F7EBVH3R7332IHXA446QL6HGR","bundle":"https://pith.science/pith/4F7EBVH3R7332IHXA446QL6HGR/bundle.json","state":"https://pith.science/pith/4F7EBVH3R7332IHXA446QL6HGR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4F7EBVH3R7332IHXA446QL6HGR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4F7EBVH3R7332IHXA446QL6HGR","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":"dcc0048dd371aa3744c08a9fbe6dc441ca652f7390b09f684a177a6fc5c54c14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-16T06:24:18Z","title_canon_sha256":"5428acf4d14aebc523e8677c2fac64ca5e47ac8d90c8637ffec05a7da16f483c"},"schema_version":"1.0","source":{"id":"1702.04870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04870","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04870v1","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04870","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"4F7EBVH3R733","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4F7EBVH3R7332IHX","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4F7EBVH3","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:1da8b7c0fa133950166dd40235e8f0c537f69749753e4de0ccb68c7b9ccc45e9","target":"graph","created_at":"2026-05-18T00:50:36Z","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 introduce the concept of dissipative measure-valued solution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessar","authors_text":"Eduard Feireisl, Jan Brezina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-16T06:24:18Z","title":"Measure-valued solutions to the complete Euler system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04870","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":"sha256:2b776515e38828b0064e92fa64acbb09da5aa65d5fc2dfe52ec20114be2c2a96","target":"record","created_at":"2026-05-18T00:50:36Z","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":"dcc0048dd371aa3744c08a9fbe6dc441ca652f7390b09f684a177a6fc5c54c14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-16T06:24:18Z","title_canon_sha256":"5428acf4d14aebc523e8677c2fac64ca5e47ac8d90c8637ffec05a7da16f483c"},"schema_version":"1.0","source":{"id":"1702.04870","kind":"arxiv","version":1}},"canonical_sha256":"e17e40d4fb8ff7bd20f70739e82fc7344e9cf4efbc204a141614b452a6b303eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e17e40d4fb8ff7bd20f70739e82fc7344e9cf4efbc204a141614b452a6b303eb","first_computed_at":"2026-05-18T00:50:36.948274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:36.948274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZOmxB0n1V+aq8Oha4uv4m693xhLRNt/dlAGqYDAS9FyVcZlBSgeqFYIX5F6guZk7ir2usocBWCjo9Ioiw0YEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:36.948866Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b776515e38828b0064e92fa64acbb09da5aa65d5fc2dfe52ec20114be2c2a96","sha256:1da8b7c0fa133950166dd40235e8f0c537f69749753e4de0ccb68c7b9ccc45e9"],"state_sha256":"b5f9ffc7324a04d758d47b6db387613a5fe5670dbb4bba5f6d9b77332f4af962"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fRagapzeJt9hGtbaqeZwW8P8Bk3yBpmlx4PthSxv2D3QQRKU5XfH3yRsbjY0I8b5gcOB9RKUkTbpVc6AD2VEDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:13:22.625097Z","bundle_sha256":"cf5068b3aadce9a15adc945e0317f91ae020031f74b0e0d4a65dbfcf0b9efbeb"}}