{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:A4BOSP76MK6NBTXNTOOMLUX3HN","short_pith_number":"pith:A4BOSP76","canonical_record":{"source":{"id":"1810.03761","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-10-09T00:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"0541de99af929731bb4113014475c4a6f8a82e9272cc5f7b56b2ec24b4618672","abstract_canon_sha256":"f5ac133bf6a5f06e8625db3911ad7a2e0e5b9e457ba20b9b0ea575bda346d329"},"schema_version":"1.0"},"canonical_sha256":"0702e93ffe62bcd0ceed9b9cc5d2fb3b6241269f1a403cf8fea6062c6e3525ac","source":{"kind":"arxiv","id":"1810.03761","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03761","created_at":"2026-05-17T23:47:20Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03761v4","created_at":"2026-05-17T23:47:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03761","created_at":"2026-05-17T23:47:20Z"},{"alias_kind":"pith_short_12","alias_value":"A4BOSP76MK6N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A4BOSP76MK6NBTXN","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A4BOSP76","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:A4BOSP76MK6NBTXNTOOMLUX3HN","target":"record","payload":{"canonical_record":{"source":{"id":"1810.03761","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-10-09T00:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"0541de99af929731bb4113014475c4a6f8a82e9272cc5f7b56b2ec24b4618672","abstract_canon_sha256":"f5ac133bf6a5f06e8625db3911ad7a2e0e5b9e457ba20b9b0ea575bda346d329"},"schema_version":"1.0"},"canonical_sha256":"0702e93ffe62bcd0ceed9b9cc5d2fb3b6241269f1a403cf8fea6062c6e3525ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:20.291865Z","signature_b64":"GWQZF1gFRgc2Lz+reOy4OLXfea1m1y5TKV3HoOrGy2WwtxhO3cM5osZfWwuhU00I34nfAx0V0QI18q5BlGZ4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0702e93ffe62bcd0ceed9b9cc5d2fb3b6241269f1a403cf8fea6062c6e3525ac","last_reissued_at":"2026-05-17T23:47:20.291450Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:20.291450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.03761","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COKSaBRZ9l3x/HLLd8FiurjdrLk5vl868ppUVmMqcXrNP3Q5d1eFOA/eZCseqHp3wcpNPVOzS82kDzxgO22JBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:58:10.778370Z"},"content_sha256":"ac3aeaa33e95bbe50645e36e07cbcb4f4ed177ae600fc384d2df2f0f96fa88d0","schema_version":"1.0","event_id":"sha256:ac3aeaa33e95bbe50645e36e07cbcb4f4ed177ae600fc384d2df2f0f96fa88d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:A4BOSP76MK6NBTXNTOOMLUX3HN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuum mechanics with torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Evgeniy Romenski, Ilya Peshkov, Michael Dumbser","submitted_at":"2018-10-09T00:40:51Z","abstract_excerpt":"This paper is an attempt to introduce methods and concepts of the Riemann-Cartan geometry largely used in such physical theories as general relativity, gauge theories, solid dynamics, etc. to fluid dynamics in general and to studying and modeling turbulence in particular. Thus, in order to account for the rotational degrees of freedom of the irregular dynamics of small scale vortexes, we further generalize our unified first-order hyperbolic formulation of continuum fluid and solid mechanics which treats the flowing medium as a Riemann-Cartan manifold with zero curvature but non-vanishing torsi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03761","kind":"arxiv","version":4},"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":"2026-05-17T23:47:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VO9pN4fhIe/eqR5pW1TxU2VUqK8Zsyr0FZNJeQN5lf1wK4+56bOFfNLwDDasT4mvY0G2hrpWZrNjWhsrCQXaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:58:10.778854Z"},"content_sha256":"c06387f2acbe52ae36c8166f946cf6b301855efa853bef00bf5adb2c897b9170","schema_version":"1.0","event_id":"sha256:c06387f2acbe52ae36c8166f946cf6b301855efa853bef00bf5adb2c897b9170"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4BOSP76MK6NBTXNTOOMLUX3HN/bundle.json","state_url":"https://pith.science/pith/A4BOSP76MK6NBTXNTOOMLUX3HN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4BOSP76MK6NBTXNTOOMLUX3HN/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":"2026-06-09T04:58:10Z","links":{"resolver":"https://pith.science/pith/A4BOSP76MK6NBTXNTOOMLUX3HN","bundle":"https://pith.science/pith/A4BOSP76MK6NBTXNTOOMLUX3HN/bundle.json","state":"https://pith.science/pith/A4BOSP76MK6NBTXNTOOMLUX3HN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4BOSP76MK6NBTXNTOOMLUX3HN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:A4BOSP76MK6NBTXNTOOMLUX3HN","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":"f5ac133bf6a5f06e8625db3911ad7a2e0e5b9e457ba20b9b0ea575bda346d329","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-10-09T00:40:51Z","title_canon_sha256":"0541de99af929731bb4113014475c4a6f8a82e9272cc5f7b56b2ec24b4618672"},"schema_version":"1.0","source":{"id":"1810.03761","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03761","created_at":"2026-05-17T23:47:20Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03761v4","created_at":"2026-05-17T23:47:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03761","created_at":"2026-05-17T23:47:20Z"},{"alias_kind":"pith_short_12","alias_value":"A4BOSP76MK6N","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A4BOSP76MK6NBTXN","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A4BOSP76","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:c06387f2acbe52ae36c8166f946cf6b301855efa853bef00bf5adb2c897b9170","target":"graph","created_at":"2026-05-17T23:47:20Z","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":"This paper is an attempt to introduce methods and concepts of the Riemann-Cartan geometry largely used in such physical theories as general relativity, gauge theories, solid dynamics, etc. to fluid dynamics in general and to studying and modeling turbulence in particular. Thus, in order to account for the rotational degrees of freedom of the irregular dynamics of small scale vortexes, we further generalize our unified first-order hyperbolic formulation of continuum fluid and solid mechanics which treats the flowing medium as a Riemann-Cartan manifold with zero curvature but non-vanishing torsi","authors_text":"Evgeniy Romenski, Ilya Peshkov, Michael Dumbser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-10-09T00:40:51Z","title":"Continuum mechanics with torsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03761","kind":"arxiv","version":4},"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:ac3aeaa33e95bbe50645e36e07cbcb4f4ed177ae600fc384d2df2f0f96fa88d0","target":"record","created_at":"2026-05-17T23:47:20Z","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":"f5ac133bf6a5f06e8625db3911ad7a2e0e5b9e457ba20b9b0ea575bda346d329","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-10-09T00:40:51Z","title_canon_sha256":"0541de99af929731bb4113014475c4a6f8a82e9272cc5f7b56b2ec24b4618672"},"schema_version":"1.0","source":{"id":"1810.03761","kind":"arxiv","version":4}},"canonical_sha256":"0702e93ffe62bcd0ceed9b9cc5d2fb3b6241269f1a403cf8fea6062c6e3525ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0702e93ffe62bcd0ceed9b9cc5d2fb3b6241269f1a403cf8fea6062c6e3525ac","first_computed_at":"2026-05-17T23:47:20.291450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:20.291450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GWQZF1gFRgc2Lz+reOy4OLXfea1m1y5TKV3HoOrGy2WwtxhO3cM5osZfWwuhU00I34nfAx0V0QI18q5BlGZ4Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:20.291865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03761","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac3aeaa33e95bbe50645e36e07cbcb4f4ed177ae600fc384d2df2f0f96fa88d0","sha256:c06387f2acbe52ae36c8166f946cf6b301855efa853bef00bf5adb2c897b9170"],"state_sha256":"7e54d6b5b2304fea01220ba0e7617bd33eef8c5dd9ad80f72b35300f1931bf38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YeCOtpHQWZHKD7ROllNV/S63BNXLrW2pk3UdE8/rRER7hddd/wl59YwqrkW9Kwwv9F7E99HRBWJcW9Gd+YRZBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:58:10.781050Z","bundle_sha256":"fb0f8f08cf0dfa7b6f1b0f7467b0a9db11ed1c2603239ebeab37efb23e6ed241"}}