{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SODEE6XJYSSRCWGIDNLF3XZO3R","short_pith_number":"pith:SODEE6XJ","canonical_record":{"source":{"id":"1311.7059","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-26T13:53:14Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"ab0ef009ce6d02b7bd41143afbf19b5d09fea439180b7be32d6c6a24c7e646ab","abstract_canon_sha256":"62e42370eab60dce5427de1018a941772239d9434ac77916f9c9d0ea89acb86f"},"schema_version":"1.0"},"canonical_sha256":"9386427ae9c4a51158c81b565ddf2edc6559e35ac7b180204943cb196131f01b","source":{"kind":"arxiv","id":"1311.7059","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7059","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7059v3","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7059","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"SODEE6XJYSSR","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SODEE6XJYSSRCWGI","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SODEE6XJ","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SODEE6XJYSSRCWGIDNLF3XZO3R","target":"record","payload":{"canonical_record":{"source":{"id":"1311.7059","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-26T13:53:14Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"ab0ef009ce6d02b7bd41143afbf19b5d09fea439180b7be32d6c6a24c7e646ab","abstract_canon_sha256":"62e42370eab60dce5427de1018a941772239d9434ac77916f9c9d0ea89acb86f"},"schema_version":"1.0"},"canonical_sha256":"9386427ae9c4a51158c81b565ddf2edc6559e35ac7b180204943cb196131f01b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:01.370202Z","signature_b64":"AqJPfXz0R60xDHrV4InyQZeEQSzzqWlHfX1Z3NbuaxTDrqJE62kVv1Ia9OK0PxrzcqYHnq+N43901eIsmMvSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9386427ae9c4a51158c81b565ddf2edc6559e35ac7b180204943cb196131f01b","last_reissued_at":"2026-05-18T01:30:01.369683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:01.369683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.7059","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cElsetjr4JbGogyQUVuJZsgTr4B0U9K/gvVsaG6UAW5NN2vwiKIESATK6Qi0L3GzIiNG9pzwRyzXxyPl1Y/oBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:19:38.643482Z"},"content_sha256":"da7afa5f275e9cd311ec485a54d3bfb9aab7e2fab41f432a5bbe318921d091b6","schema_version":"1.0","event_id":"sha256:da7afa5f275e9cd311ec485a54d3bfb9aab7e2fab41f432a5bbe318921d091b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SODEE6XJYSSRCWGIDNLF3XZO3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Causal hydrodynamics from kinetic theory by doublet scheme in renormalization-group method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"physics.flu-dyn","authors_text":"Kyosuke Tsumura, Teiji Kunihiro, Yuta Kikuchi","submitted_at":"2013-11-26T13:53:14Z","abstract_excerpt":"We develop a general framework in the renormalization-group (RG) method for extracting a mesoscopic dynamics from an evolution equation by incorporating some excited (fast) modes as additional components to the invariant manifold spanned by zero modes. We call this framework the doublet scheme. The validity of the doublet scheme is first tested and demonstrated by taking the Lorenz model as a simple three-dimensional dynamical system; it is shown that the two-dimensional reduced dynamics on the attractive manifold composed of the would-be zero and a fast modes are successfully obtained in a na"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7059","kind":"arxiv","version":3},"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":"2026-05-18T01:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RPQrVGAFQtDveXQ3NTYEahabpFxUcwALeCqU9XSJXDs3jqalDpxtx76DIEZVokmsupOwn4YR609hx43KRGeZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:19:38.644124Z"},"content_sha256":"b8620ec06064c522b2c70ee44c230484375d89b81a54d6c7401e4c7f00ef2284","schema_version":"1.0","event_id":"sha256:b8620ec06064c522b2c70ee44c230484375d89b81a54d6c7401e4c7f00ef2284"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SODEE6XJYSSRCWGIDNLF3XZO3R/bundle.json","state_url":"https://pith.science/pith/SODEE6XJYSSRCWGIDNLF3XZO3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SODEE6XJYSSRCWGIDNLF3XZO3R/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":"2026-06-06T21:19:38Z","links":{"resolver":"https://pith.science/pith/SODEE6XJYSSRCWGIDNLF3XZO3R","bundle":"https://pith.science/pith/SODEE6XJYSSRCWGIDNLF3XZO3R/bundle.json","state":"https://pith.science/pith/SODEE6XJYSSRCWGIDNLF3XZO3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SODEE6XJYSSRCWGIDNLF3XZO3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SODEE6XJYSSRCWGIDNLF3XZO3R","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":"62e42370eab60dce5427de1018a941772239d9434ac77916f9c9d0ea89acb86f","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-26T13:53:14Z","title_canon_sha256":"ab0ef009ce6d02b7bd41143afbf19b5d09fea439180b7be32d6c6a24c7e646ab"},"schema_version":"1.0","source":{"id":"1311.7059","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7059","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7059v3","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7059","created_at":"2026-05-18T01:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"SODEE6XJYSSR","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SODEE6XJYSSRCWGI","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SODEE6XJ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:b8620ec06064c522b2c70ee44c230484375d89b81a54d6c7401e4c7f00ef2284","target":"graph","created_at":"2026-05-18T01:30:01Z","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 develop a general framework in the renormalization-group (RG) method for extracting a mesoscopic dynamics from an evolution equation by incorporating some excited (fast) modes as additional components to the invariant manifold spanned by zero modes. We call this framework the doublet scheme. The validity of the doublet scheme is first tested and demonstrated by taking the Lorenz model as a simple three-dimensional dynamical system; it is shown that the two-dimensional reduced dynamics on the attractive manifold composed of the would-be zero and a fast modes are successfully obtained in a na","authors_text":"Kyosuke Tsumura, Teiji Kunihiro, Yuta Kikuchi","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-26T13:53:14Z","title":"Causal hydrodynamics from kinetic theory by doublet scheme in renormalization-group method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7059","kind":"arxiv","version":3},"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:da7afa5f275e9cd311ec485a54d3bfb9aab7e2fab41f432a5bbe318921d091b6","target":"record","created_at":"2026-05-18T01:30:01Z","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":"62e42370eab60dce5427de1018a941772239d9434ac77916f9c9d0ea89acb86f","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-26T13:53:14Z","title_canon_sha256":"ab0ef009ce6d02b7bd41143afbf19b5d09fea439180b7be32d6c6a24c7e646ab"},"schema_version":"1.0","source":{"id":"1311.7059","kind":"arxiv","version":3}},"canonical_sha256":"9386427ae9c4a51158c81b565ddf2edc6559e35ac7b180204943cb196131f01b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9386427ae9c4a51158c81b565ddf2edc6559e35ac7b180204943cb196131f01b","first_computed_at":"2026-05-18T01:30:01.369683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:01.369683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AqJPfXz0R60xDHrV4InyQZeEQSzzqWlHfX1Z3NbuaxTDrqJE62kVv1Ia9OK0PxrzcqYHnq+N43901eIsmMvSBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:01.370202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.7059","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da7afa5f275e9cd311ec485a54d3bfb9aab7e2fab41f432a5bbe318921d091b6","sha256:b8620ec06064c522b2c70ee44c230484375d89b81a54d6c7401e4c7f00ef2284"],"state_sha256":"f3c408a72e7c801055d0cee7f1feb04b3c0c522225c124cd64866d9aec711a75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEr2+SVRNffgTXvskytjKVflb5/xRSHS66TWbXISHYQDZGUNyYO3Yi3iXb+2N+f/Vsz3/cmDNKsShzJIpJEsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:19:38.647187Z","bundle_sha256":"6805e3b3fce57a6bb4efd47e1eddad39c8bc422eca1c2423ba907c0f07064bcd"}}