{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FDRR3EO636OTKCAOUBGHQWZ6UW","short_pith_number":"pith:FDRR3EO6","canonical_record":{"source":{"id":"1009.4416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-09-22T16:39:45Z","cross_cats_sorted":[],"title_canon_sha256":"63b9e92a0c37bb4c18b480a4f673297090f3f04ef1f99e57ed1d257dce8dd93f","abstract_canon_sha256":"e0e72eb73ade9020082a3b008e18461fb25a645d676ac82c550bb06981ced594"},"schema_version":"1.0"},"canonical_sha256":"28e31d91dedf9d35080ea04c785b3ea5b893a20683e7a617915fb402a618565a","source":{"kind":"arxiv","id":"1009.4416","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4416","created_at":"2026-05-18T04:34:18Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4416v2","created_at":"2026-05-18T04:34:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4416","created_at":"2026-05-18T04:34:18Z"},{"alias_kind":"pith_short_12","alias_value":"FDRR3EO636OT","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FDRR3EO636OTKCAO","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FDRR3EO6","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FDRR3EO636OTKCAOUBGHQWZ6UW","target":"record","payload":{"canonical_record":{"source":{"id":"1009.4416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-09-22T16:39:45Z","cross_cats_sorted":[],"title_canon_sha256":"63b9e92a0c37bb4c18b480a4f673297090f3f04ef1f99e57ed1d257dce8dd93f","abstract_canon_sha256":"e0e72eb73ade9020082a3b008e18461fb25a645d676ac82c550bb06981ced594"},"schema_version":"1.0"},"canonical_sha256":"28e31d91dedf9d35080ea04c785b3ea5b893a20683e7a617915fb402a618565a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:18.086128Z","signature_b64":"LpLLaa+mxBeVIc2qdiKX/+S2BQBIdFjNnE6DZf0us2Fe7JdDv9Wcu8BN8bJN/019MRoC5jMJkI34CUM1yoMmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28e31d91dedf9d35080ea04c785b3ea5b893a20683e7a617915fb402a618565a","last_reissued_at":"2026-05-18T04:34:18.085627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:18.085627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.4416","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:34:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mH/O1zOwrrOjf2qkcsZYKDtU5F3naPtbjQDVcQ3BpjIg0EBm4PktincZi0NC3wW/sUxS7L0xNaxE3FFzToEeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:37:33.112731Z"},"content_sha256":"d421be7f694ac9ce9f6715ccee754bd1cab3f051b918052c3b5f7c0587a5535d","schema_version":"1.0","event_id":"sha256:d421be7f694ac9ce9f6715ccee754bd1cab3f051b918052c3b5f7c0587a5535d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FDRR3EO636OTKCAOUBGHQWZ6UW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stokes' first problem for some non-Newtonian fluids: Results and mistakes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ivan C. Christov","submitted_at":"2010-09-22T16:39:45Z","abstract_excerpt":"The well-known problem of unidirectional plane flow of a fluid in a half-space due to the impulsive motion of the plate it rests upon is discussed in the context of the second-grade and the Oldroyd-B non-Newtonian fluids. The governing equations are derived from the conservation laws of mass and momentum and three correct known representations of their exact solutions given. Common mistakes made in the literature are identified. Simple numerical schemes that corroborate the analytical solutions are constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4416","kind":"arxiv","version":2},"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":"2026-05-18T04:34:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKMRn5qx/FCpkz2NLDJGF/oCkfOjeSptjSzFfZpGUKdma+iZoaVkZNoi7F6EKJsHn3StS+1HkMi9P41aJLa6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:37:33.113639Z"},"content_sha256":"f37b23ac306cfc570eb89a864a3b1d4c79a5f30133a83eab45775c71a92dfc14","schema_version":"1.0","event_id":"sha256:f37b23ac306cfc570eb89a864a3b1d4c79a5f30133a83eab45775c71a92dfc14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDRR3EO636OTKCAOUBGHQWZ6UW/bundle.json","state_url":"https://pith.science/pith/FDRR3EO636OTKCAOUBGHQWZ6UW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDRR3EO636OTKCAOUBGHQWZ6UW/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":"2026-06-01T01:37:33Z","links":{"resolver":"https://pith.science/pith/FDRR3EO636OTKCAOUBGHQWZ6UW","bundle":"https://pith.science/pith/FDRR3EO636OTKCAOUBGHQWZ6UW/bundle.json","state":"https://pith.science/pith/FDRR3EO636OTKCAOUBGHQWZ6UW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDRR3EO636OTKCAOUBGHQWZ6UW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FDRR3EO636OTKCAOUBGHQWZ6UW","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":"e0e72eb73ade9020082a3b008e18461fb25a645d676ac82c550bb06981ced594","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-09-22T16:39:45Z","title_canon_sha256":"63b9e92a0c37bb4c18b480a4f673297090f3f04ef1f99e57ed1d257dce8dd93f"},"schema_version":"1.0","source":{"id":"1009.4416","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4416","created_at":"2026-05-18T04:34:18Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4416v2","created_at":"2026-05-18T04:34:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4416","created_at":"2026-05-18T04:34:18Z"},{"alias_kind":"pith_short_12","alias_value":"FDRR3EO636OT","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FDRR3EO636OTKCAO","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FDRR3EO6","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:f37b23ac306cfc570eb89a864a3b1d4c79a5f30133a83eab45775c71a92dfc14","target":"graph","created_at":"2026-05-18T04:34:18Z","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":"The well-known problem of unidirectional plane flow of a fluid in a half-space due to the impulsive motion of the plate it rests upon is discussed in the context of the second-grade and the Oldroyd-B non-Newtonian fluids. The governing equations are derived from the conservation laws of mass and momentum and three correct known representations of their exact solutions given. Common mistakes made in the literature are identified. Simple numerical schemes that corroborate the analytical solutions are constructed.","authors_text":"Ivan C. Christov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-09-22T16:39:45Z","title":"Stokes' first problem for some non-Newtonian fluids: Results and mistakes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4416","kind":"arxiv","version":2},"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:d421be7f694ac9ce9f6715ccee754bd1cab3f051b918052c3b5f7c0587a5535d","target":"record","created_at":"2026-05-18T04:34:18Z","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":"e0e72eb73ade9020082a3b008e18461fb25a645d676ac82c550bb06981ced594","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-09-22T16:39:45Z","title_canon_sha256":"63b9e92a0c37bb4c18b480a4f673297090f3f04ef1f99e57ed1d257dce8dd93f"},"schema_version":"1.0","source":{"id":"1009.4416","kind":"arxiv","version":2}},"canonical_sha256":"28e31d91dedf9d35080ea04c785b3ea5b893a20683e7a617915fb402a618565a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28e31d91dedf9d35080ea04c785b3ea5b893a20683e7a617915fb402a618565a","first_computed_at":"2026-05-18T04:34:18.085627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:18.085627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LpLLaa+mxBeVIc2qdiKX/+S2BQBIdFjNnE6DZf0us2Fe7JdDv9Wcu8BN8bJN/019MRoC5jMJkI34CUM1yoMmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:18.086128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4416","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d421be7f694ac9ce9f6715ccee754bd1cab3f051b918052c3b5f7c0587a5535d","sha256:f37b23ac306cfc570eb89a864a3b1d4c79a5f30133a83eab45775c71a92dfc14"],"state_sha256":"02e715db21159dba3f46b00898e36bf8126669c1a4b9bbb23dca6fc0553e38ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SpGy7/jzkOY0vgUjiVO5VH5OyusExHDzplJ6BfZLVZr2oRAUSi402utvBLrEfy5OVJlGEeTWzQhdvnP5Fw7sAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:37:33.118628Z","bundle_sha256":"3c02739b8c907b98d06c640920db2977dbd90444d4003c9be32509f6b42ae343"}}