{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YB7TJ4PBC574FSTG2XBHFJRQX4","short_pith_number":"pith:YB7TJ4PB","canonical_record":{"source":{"id":"1710.10751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-30T03:18:43Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"7ba68e770a1c00471dc071f2e6a822f23c2b710dd94ad7bf98c48e6841e51af7","abstract_canon_sha256":"ebe7e9ce6f57d74f330e249e65e6c3402285630de7eef3fcc8f56e059b47d58a"},"schema_version":"1.0"},"canonical_sha256":"c07f34f1e1177fc2ca66d5c272a630bf21270a3d6b999eaeca5fa70ec1cc1361","source":{"kind":"arxiv","id":"1710.10751","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10751","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10751v1","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10751","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"YB7TJ4PBC574","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YB7TJ4PBC574FSTG","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YB7TJ4PB","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YB7TJ4PBC574FSTG2XBHFJRQX4","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-30T03:18:43Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"7ba68e770a1c00471dc071f2e6a822f23c2b710dd94ad7bf98c48e6841e51af7","abstract_canon_sha256":"ebe7e9ce6f57d74f330e249e65e6c3402285630de7eef3fcc8f56e059b47d58a"},"schema_version":"1.0"},"canonical_sha256":"c07f34f1e1177fc2ca66d5c272a630bf21270a3d6b999eaeca5fa70ec1cc1361","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:20.331329Z","signature_b64":"Yqzd62uRpgZOS5ULkoySGRRO+XfVS3AMwCtw4L69H74UCQilIJ2wy/blTQCzP4JEIg90XV1hwR5AZXs9dyqcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c07f34f1e1177fc2ca66d5c272a630bf21270a3d6b999eaeca5fa70ec1cc1361","last_reissued_at":"2026-05-18T00:15:20.330684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:20.330684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10751","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":"2026-05-18T00:15:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYUSuxKAkiKc4s7ij9FVdhFGN67zZMfiYVX0kf5qyqFINZcNFe6hfoRiRBWFwe9Z4F+JYxnhKQEfCb0sHG47CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:34:29.400105Z"},"content_sha256":"c4f56718f6969d8f9c13bd5c5e96c15554dcff06d24cee81835772cc8cb93938","schema_version":"1.0","event_id":"sha256:c4f56718f6969d8f9c13bd5c5e96c15554dcff06d24cee81835772cc8cb93938"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YB7TJ4PBC574FSTG2XBHFJRQX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Measure-valued solutions to the complete Euler system revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Eduard Feireisl, Jan Brezina","submitted_at":"2017-10-30T03:18:43Z","abstract_excerpt":"We consider the complete Euler system describing the time evolution of a general inviscid compressible fluid. We introduce a new concept of measure-valued solution based on the total energy balance and entropy inequality for the physical entropy without any renormalization. This class of so-called dissipative measure-valued solutions is large enough to include the vanishing dissipation limits of the Navier-Stokes-Fourier system. Our main result states that any sequence of weak solutions to the Navier-Stokes-Fourier system with vanishing viscosity and heat conductivity coefficients generates a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10751","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":"2026-05-18T00:15:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hPZOVlZVAifNLNwxqMRzJGmrxMlsiO+poZB+tQokTOnbL5ik0mCBjJVtTWcB2GL8yW1M5p6y/Y6mNTlGe3GzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:34:29.400802Z"},"content_sha256":"c6aa351e939fd431a13fb196224134c2600093a26e93ef0545ce2bb4159d24d1","schema_version":"1.0","event_id":"sha256:c6aa351e939fd431a13fb196224134c2600093a26e93ef0545ce2bb4159d24d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YB7TJ4PBC574FSTG2XBHFJRQX4/bundle.json","state_url":"https://pith.science/pith/YB7TJ4PBC574FSTG2XBHFJRQX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YB7TJ4PBC574FSTG2XBHFJRQX4/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":"2026-05-26T03:34:29Z","links":{"resolver":"https://pith.science/pith/YB7TJ4PBC574FSTG2XBHFJRQX4","bundle":"https://pith.science/pith/YB7TJ4PBC574FSTG2XBHFJRQX4/bundle.json","state":"https://pith.science/pith/YB7TJ4PBC574FSTG2XBHFJRQX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YB7TJ4PBC574FSTG2XBHFJRQX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YB7TJ4PBC574FSTG2XBHFJRQX4","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":"ebe7e9ce6f57d74f330e249e65e6c3402285630de7eef3fcc8f56e059b47d58a","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-30T03:18:43Z","title_canon_sha256":"7ba68e770a1c00471dc071f2e6a822f23c2b710dd94ad7bf98c48e6841e51af7"},"schema_version":"1.0","source":{"id":"1710.10751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10751","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10751v1","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10751","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"YB7TJ4PBC574","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YB7TJ4PBC574FSTG","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YB7TJ4PB","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:c6aa351e939fd431a13fb196224134c2600093a26e93ef0545ce2bb4159d24d1","target":"graph","created_at":"2026-05-18T00:15:20Z","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 complete Euler system describing the time evolution of a general inviscid compressible fluid. We introduce a new concept of measure-valued solution based on the total energy balance and entropy inequality for the physical entropy without any renormalization. This class of so-called dissipative measure-valued solutions is large enough to include the vanishing dissipation limits of the Navier-Stokes-Fourier system. Our main result states that any sequence of weak solutions to the Navier-Stokes-Fourier system with vanishing viscosity and heat conductivity coefficients generates a ","authors_text":"Eduard Feireisl, Jan Brezina","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-30T03:18:43Z","title":"Measure-valued solutions to the complete Euler system revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10751","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:c4f56718f6969d8f9c13bd5c5e96c15554dcff06d24cee81835772cc8cb93938","target":"record","created_at":"2026-05-18T00:15:20Z","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":"ebe7e9ce6f57d74f330e249e65e6c3402285630de7eef3fcc8f56e059b47d58a","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-30T03:18:43Z","title_canon_sha256":"7ba68e770a1c00471dc071f2e6a822f23c2b710dd94ad7bf98c48e6841e51af7"},"schema_version":"1.0","source":{"id":"1710.10751","kind":"arxiv","version":1}},"canonical_sha256":"c07f34f1e1177fc2ca66d5c272a630bf21270a3d6b999eaeca5fa70ec1cc1361","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c07f34f1e1177fc2ca66d5c272a630bf21270a3d6b999eaeca5fa70ec1cc1361","first_computed_at":"2026-05-18T00:15:20.330684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:20.330684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yqzd62uRpgZOS5ULkoySGRRO+XfVS3AMwCtw4L69H74UCQilIJ2wy/blTQCzP4JEIg90XV1hwR5AZXs9dyqcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:20.331329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4f56718f6969d8f9c13bd5c5e96c15554dcff06d24cee81835772cc8cb93938","sha256:c6aa351e939fd431a13fb196224134c2600093a26e93ef0545ce2bb4159d24d1"],"state_sha256":"9a6ba776c955eef5d6c88be68c0868d2870b5ff06c6ffbb9a12652a98d184dbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q77nshsjLfjqYj2ho2S682/hImOwvrlft2wBUsJ4VsvABetdSXIs3EVlPXrVxBL32w7Tpa7rL3E3UOgMA0qjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T03:34:29.404161Z","bundle_sha256":"32b0b823f94b801a941d074ce14efe8d2eb04a6da2309706937989dc972e20a1"}}