{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SIMPKPLYEEKZWPU4CUZQBS76Y5","short_pith_number":"pith:SIMPKPLY","canonical_record":{"source":{"id":"1506.00038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-29T21:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"601e02967a90e7a321b22bf32785a2704c7dff53b05cc380ace2db02b25367c7","abstract_canon_sha256":"dadbefe945b17620626ed6885ed0ad7f623b63ddb602461194437dce84662896"},"schema_version":"1.0"},"canonical_sha256":"9218f53d7821159b3e9c153300cbfec745cdb577a40475a7a497f69c9ad8a566","source":{"kind":"arxiv","id":"1506.00038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00038","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00038v1","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00038","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"SIMPKPLYEEKZ","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SIMPKPLYEEKZWPU4","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SIMPKPLY","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SIMPKPLYEEKZWPU4CUZQBS76Y5","target":"record","payload":{"canonical_record":{"source":{"id":"1506.00038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-29T21:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"601e02967a90e7a321b22bf32785a2704c7dff53b05cc380ace2db02b25367c7","abstract_canon_sha256":"dadbefe945b17620626ed6885ed0ad7f623b63ddb602461194437dce84662896"},"schema_version":"1.0"},"canonical_sha256":"9218f53d7821159b3e9c153300cbfec745cdb577a40475a7a497f69c9ad8a566","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:55.622369Z","signature_b64":"KMb+LS+u2/rUiHOeIn1MjwgWOWZRFmPIM8J/JNC3DZebLmRChQDtBuLPwCHhY0bEw6hVO2dit8VwvgqrFEVZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9218f53d7821159b3e9c153300cbfec745cdb577a40475a7a497f69c9ad8a566","last_reissued_at":"2026-05-18T01:59:55.621850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:55.621850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.00038","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":"2026-05-18T01:59:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5W0xnCSSIYSYA+5TPMHaEHESLw1wcpC6a+NJMshEP3O7p78+jbUeim1Qlx9Zt0YevPfbIZoBbiSkWd6FfH0lAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:55:30.035193Z"},"content_sha256":"aa4eb450b5e2dcf0992dee58e02f58c57fdfb3bfaddea53fc8a2fca434b7f32b","schema_version":"1.0","event_id":"sha256:aa4eb450b5e2dcf0992dee58e02f58c57fdfb3bfaddea53fc8a2fca434b7f32b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SIMPKPLYEEKZWPU4CUZQBS76Y5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reply to \"Comment on Sochi's variational method for generalised Newtonian flow\" by Pritchard and Corson","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Taha Sochi","submitted_at":"2015-05-29T21:53:43Z","abstract_excerpt":"In this article we challenge the claim that the previously proposed variational method to obtain flow solutions for generalized Newtonian fluids in circular tubes and plane slits is exact only for power law fluids. We also defend the theoretical foundation and formalism of the method which is based on minimizing the total stress through the application of the Euler-Lagrange principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00038","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":"2026-05-18T01:59:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O93EA95ael2c8afgmLbkcu0URDXF7DXj7jcSGKXZqrVNN1iWM16M+1IjvNEJSiNKaq1ywxrZccMLiHEN+JbRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T11:55:30.035568Z"},"content_sha256":"c19008d28540c5c0537683299f53d92401500cd117fefd1302bdd27bcd1ad147","schema_version":"1.0","event_id":"sha256:c19008d28540c5c0537683299f53d92401500cd117fefd1302bdd27bcd1ad147"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5/bundle.json","state_url":"https://pith.science/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5/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":"2026-06-06T11:55:30Z","links":{"resolver":"https://pith.science/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5","bundle":"https://pith.science/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5/bundle.json","state":"https://pith.science/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIMPKPLYEEKZWPU4CUZQBS76Y5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SIMPKPLYEEKZWPU4CUZQBS76Y5","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":"dadbefe945b17620626ed6885ed0ad7f623b63ddb602461194437dce84662896","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-29T21:53:43Z","title_canon_sha256":"601e02967a90e7a321b22bf32785a2704c7dff53b05cc380ace2db02b25367c7"},"schema_version":"1.0","source":{"id":"1506.00038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00038","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00038v1","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00038","created_at":"2026-05-18T01:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"SIMPKPLYEEKZ","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SIMPKPLYEEKZWPU4","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SIMPKPLY","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:c19008d28540c5c0537683299f53d92401500cd117fefd1302bdd27bcd1ad147","target":"graph","created_at":"2026-05-18T01:59:55Z","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":"In this article we challenge the claim that the previously proposed variational method to obtain flow solutions for generalized Newtonian fluids in circular tubes and plane slits is exact only for power law fluids. We also defend the theoretical foundation and formalism of the method which is based on minimizing the total stress through the application of the Euler-Lagrange principle.","authors_text":"Taha Sochi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-29T21:53:43Z","title":"Reply to \"Comment on Sochi's variational method for generalised Newtonian flow\" by Pritchard and Corson"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00038","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:aa4eb450b5e2dcf0992dee58e02f58c57fdfb3bfaddea53fc8a2fca434b7f32b","target":"record","created_at":"2026-05-18T01:59:55Z","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":"dadbefe945b17620626ed6885ed0ad7f623b63ddb602461194437dce84662896","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-29T21:53:43Z","title_canon_sha256":"601e02967a90e7a321b22bf32785a2704c7dff53b05cc380ace2db02b25367c7"},"schema_version":"1.0","source":{"id":"1506.00038","kind":"arxiv","version":1}},"canonical_sha256":"9218f53d7821159b3e9c153300cbfec745cdb577a40475a7a497f69c9ad8a566","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9218f53d7821159b3e9c153300cbfec745cdb577a40475a7a497f69c9ad8a566","first_computed_at":"2026-05-18T01:59:55.621850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:55.621850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KMb+LS+u2/rUiHOeIn1MjwgWOWZRFmPIM8J/JNC3DZebLmRChQDtBuLPwCHhY0bEw6hVO2dit8VwvgqrFEVZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:55.622369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa4eb450b5e2dcf0992dee58e02f58c57fdfb3bfaddea53fc8a2fca434b7f32b","sha256:c19008d28540c5c0537683299f53d92401500cd117fefd1302bdd27bcd1ad147"],"state_sha256":"5db30dcfe2739daa428c2b9387172b2b71036776504e455ae2a0788505695bfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mQ+BuLk6vB5NPZ262owW9G/K9uivjssNIhNtaZMXs4rMIQTAxPgEYxJT9g3nR8AJIzamLoVGV6GG/eqg7gRICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T11:55:30.038266Z","bundle_sha256":"26ec254abbd3089d093c60fdb068975bbbace011330217b87f06b3ce82c2bc4d"}}