{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HDK2EILDV3H35R46DFWEHNVOWB","short_pith_number":"pith:HDK2EILD","canonical_record":{"source":{"id":"1710.08324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-12T21:34:03Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"152fa4954be1904cf9dd4f1afc9dedd6cf0b502501c3a312fb322b31595c7ff2","abstract_canon_sha256":"549e27fa3969d2cdcac46e61a0ea7d4222045948411295c1b9150889de4ccad0"},"schema_version":"1.0"},"canonical_sha256":"38d5a22163aecfbec79e196c43b6aeb04f7221a2630e51be65a89e083de4c7f4","source":{"kind":"arxiv","id":"1710.08324","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08324","created_at":"2026-05-18T00:23:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08324v1","created_at":"2026-05-18T00:23:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08324","created_at":"2026-05-18T00:23:30Z"},{"alias_kind":"pith_short_12","alias_value":"HDK2EILDV3H3","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDK2EILDV3H35R46","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDK2EILD","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HDK2EILDV3H35R46DFWEHNVOWB","target":"record","payload":{"canonical_record":{"source":{"id":"1710.08324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-12T21:34:03Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"152fa4954be1904cf9dd4f1afc9dedd6cf0b502501c3a312fb322b31595c7ff2","abstract_canon_sha256":"549e27fa3969d2cdcac46e61a0ea7d4222045948411295c1b9150889de4ccad0"},"schema_version":"1.0"},"canonical_sha256":"38d5a22163aecfbec79e196c43b6aeb04f7221a2630e51be65a89e083de4c7f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:30.184311Z","signature_b64":"G2+6txabvBINVteyNE5uhvrgfmNTIbI5iqJsRC4+0RESx2S/X+0LeNikQUJLRphdMrBtHNOS07gcX2FkzWknDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38d5a22163aecfbec79e196c43b6aeb04f7221a2630e51be65a89e083de4c7f4","last_reissued_at":"2026-05-18T00:23:30.183521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:30.183521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.08324","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":"2026-05-18T00:23:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pM+xRz+NikLQ1xKX3HtktkhO0Qr6TZD9R/iLC4m1JsUmskt9z9W+X04GpKLBD1jhHFQWO9VRGmc/JjCn9ZYvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T00:33:34.819166Z"},"content_sha256":"c93b6ed929733293c3f38ba12e61af25c6c058a3f03f634ee339c0280c57acbb","schema_version":"1.0","event_id":"sha256:c93b6ed929733293c3f38ba12e61af25c6c058a3f03f634ee339c0280c57acbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HDK2EILDV3H35R46DFWEHNVOWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Advanced Kinetic Theory For Morphing Continuum With Inner Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.flu-dyn","authors_text":"James Chen","submitted_at":"2017-10-12T21:34:03Z","abstract_excerpt":"Advanced kinetic theory with the Boltzmann-Curtiss equation provides a promising tool for polyatomic gas flows, especially for fluid flows containing inner structures, such as turbulence, polyatomic gas flows and others. Although a Hamiltonian-based distribution function was proposed for diatomic gas flow, a general distribution function for the generalized Boltzmann-Curtiss equations and polyatomic gas flow is still out of reach. With assistance from Boltzmann's entropy principle, a generalized Boltzmann-Curtiss distribution for polyatomic gas flow is introduced. The corresponding governing e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08324","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":"2026-05-18T00:23:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0MY5T6TH8aFwTjURU4CRWwdLsEjvSTk+/9HxZdYKjG0A0EjnD5gBK3CoQ6GtfRI7/H547c3aPzAu9D+iaypDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T00:33:34.819535Z"},"content_sha256":"42765ccf4cbcebd4c87aa0848d2fec7deabb2809a9f76fcf97414fe7421e5594","schema_version":"1.0","event_id":"sha256:42765ccf4cbcebd4c87aa0848d2fec7deabb2809a9f76fcf97414fe7421e5594"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDK2EILDV3H35R46DFWEHNVOWB/bundle.json","state_url":"https://pith.science/pith/HDK2EILDV3H35R46DFWEHNVOWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDK2EILDV3H35R46DFWEHNVOWB/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":"2026-05-22T00:33:34Z","links":{"resolver":"https://pith.science/pith/HDK2EILDV3H35R46DFWEHNVOWB","bundle":"https://pith.science/pith/HDK2EILDV3H35R46DFWEHNVOWB/bundle.json","state":"https://pith.science/pith/HDK2EILDV3H35R46DFWEHNVOWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDK2EILDV3H35R46DFWEHNVOWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HDK2EILDV3H35R46DFWEHNVOWB","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":"549e27fa3969d2cdcac46e61a0ea7d4222045948411295c1b9150889de4ccad0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-12T21:34:03Z","title_canon_sha256":"152fa4954be1904cf9dd4f1afc9dedd6cf0b502501c3a312fb322b31595c7ff2"},"schema_version":"1.0","source":{"id":"1710.08324","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08324","created_at":"2026-05-18T00:23:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08324v1","created_at":"2026-05-18T00:23:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08324","created_at":"2026-05-18T00:23:30Z"},{"alias_kind":"pith_short_12","alias_value":"HDK2EILDV3H3","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDK2EILDV3H35R46","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDK2EILD","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:42765ccf4cbcebd4c87aa0848d2fec7deabb2809a9f76fcf97414fe7421e5594","target":"graph","created_at":"2026-05-18T00:23:30Z","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":"Advanced kinetic theory with the Boltzmann-Curtiss equation provides a promising tool for polyatomic gas flows, especially for fluid flows containing inner structures, such as turbulence, polyatomic gas flows and others. Although a Hamiltonian-based distribution function was proposed for diatomic gas flow, a general distribution function for the generalized Boltzmann-Curtiss equations and polyatomic gas flow is still out of reach. With assistance from Boltzmann's entropy principle, a generalized Boltzmann-Curtiss distribution for polyatomic gas flow is introduced. The corresponding governing e","authors_text":"James Chen","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-12T21:34:03Z","title":"An Advanced Kinetic Theory For Morphing Continuum With Inner Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08324","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:c93b6ed929733293c3f38ba12e61af25c6c058a3f03f634ee339c0280c57acbb","target":"record","created_at":"2026-05-18T00:23:30Z","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":"549e27fa3969d2cdcac46e61a0ea7d4222045948411295c1b9150889de4ccad0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-12T21:34:03Z","title_canon_sha256":"152fa4954be1904cf9dd4f1afc9dedd6cf0b502501c3a312fb322b31595c7ff2"},"schema_version":"1.0","source":{"id":"1710.08324","kind":"arxiv","version":1}},"canonical_sha256":"38d5a22163aecfbec79e196c43b6aeb04f7221a2630e51be65a89e083de4c7f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38d5a22163aecfbec79e196c43b6aeb04f7221a2630e51be65a89e083de4c7f4","first_computed_at":"2026-05-18T00:23:30.183521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:30.183521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G2+6txabvBINVteyNE5uhvrgfmNTIbI5iqJsRC4+0RESx2S/X+0LeNikQUJLRphdMrBtHNOS07gcX2FkzWknDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:30.184311Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08324","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c93b6ed929733293c3f38ba12e61af25c6c058a3f03f634ee339c0280c57acbb","sha256:42765ccf4cbcebd4c87aa0848d2fec7deabb2809a9f76fcf97414fe7421e5594"],"state_sha256":"81644bfd1ea8410eedddfec51f1325cb58c1e21bf3424ef1925d3befe7a903f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8S+UeR7ZpB/lBOOJKsm11/6lbp4gbL2YS/ztOMeWqnYVqs1MR+zoSckHPAr1x8+yx/jN5Wf4GXQDcju+yY7CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T00:33:34.821584Z","bundle_sha256":"901be4e4ba48aa62c59f700f6d7611d73b88885494987d6f2d263369d95c1294"}}