{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:N5OTI437HQZB4ODP3VKQGSAAJU","short_pith_number":"pith:N5OTI437","canonical_record":{"source":{"id":"1011.0760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-11-02T22:05:31Z","cross_cats_sorted":[],"title_canon_sha256":"1965e95e40fd5bbb1457b161b086ed5005913cd4f9554c47841926428abcca98","abstract_canon_sha256":"8ffa7c5d3a0a244a1bf6df93b190718a68864c9e2e7090b74c80552b8e1430df"},"schema_version":"1.0"},"canonical_sha256":"6f5d34737f3c321e386fdd550348004d05b72485012fb60a807722eacfa8d74b","source":{"kind":"arxiv","id":"1011.0760","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.0760","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"arxiv_version","alias_value":"1011.0760v1","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0760","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"pith_short_12","alias_value":"N5OTI437HQZB","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N5OTI437HQZB4ODP","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N5OTI437","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:N5OTI437HQZB4ODP3VKQGSAAJU","target":"record","payload":{"canonical_record":{"source":{"id":"1011.0760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-11-02T22:05:31Z","cross_cats_sorted":[],"title_canon_sha256":"1965e95e40fd5bbb1457b161b086ed5005913cd4f9554c47841926428abcca98","abstract_canon_sha256":"8ffa7c5d3a0a244a1bf6df93b190718a68864c9e2e7090b74c80552b8e1430df"},"schema_version":"1.0"},"canonical_sha256":"6f5d34737f3c321e386fdd550348004d05b72485012fb60a807722eacfa8d74b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:12.426099Z","signature_b64":"QAMoDqTE9qcpDloZUw/GewV6s01gXYkGUwcf5zXcpx9fCfH9g+qr2xSHpSGT4wS45/8X/JqMJOnje098O+G1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f5d34737f3c321e386fdd550348004d05b72485012fb60a807722eacfa8d74b","last_reissued_at":"2026-05-18T04:37:12.425514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:12.425514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.0760","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":"2026-05-18T04:37:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FJ3yJQEPCOpffvSvX7/XSKt3vKmFfltvNQQbafVvGnIihPDRFghpAy+ibmTAZIZsdR7+FA590vM6M5diJtKTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:07:39.878841Z"},"content_sha256":"0d6b0dbe926b7d523eb6da5b111b4f071a1c82c30d8db59f669d606a15177242","schema_version":"1.0","event_id":"sha256:0d6b0dbe926b7d523eb6da5b111b4f071a1c82c30d8db59f669d606a15177242"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:N5OTI437HQZB4ODP3VKQGSAAJU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pore-Scale Modeling of Non-Newtonian Flow in Porous Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Taha Sochi","submitted_at":"2010-11-02T22:05:31Z","abstract_excerpt":"The thesis investigates the flow of non-Newtonian fluids in porous media using pore-scale network modeling. Non-Newtonian fluids show very complex time and strain dependent behavior and may have initial yield stress. Their common feature is that they do not obey the simple Newtonian relation of proportionality between stress and rate of deformation. They are generally classified into three main categories: time-independent, time-dependent and viscoelastic. Two three-dimensional networks representing a sand pack and Berea sandstone were used. An iterative numerical technique is used to solve th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0760","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":"2026-05-18T04:37:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U5ZmOFETqCp7VAlPEkKXFDj70B8XuomSmn1F4YEFP5K2pQgo9n7ReKvhYoBxO4L4IfrA6XQxVHbMsN+luqrKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:07:39.879235Z"},"content_sha256":"de21230105366d70219d3524af72eb3fb3e4253b2d48b68839b0a3324158fc58","schema_version":"1.0","event_id":"sha256:de21230105366d70219d3524af72eb3fb3e4253b2d48b68839b0a3324158fc58"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N5OTI437HQZB4ODP3VKQGSAAJU/bundle.json","state_url":"https://pith.science/pith/N5OTI437HQZB4ODP3VKQGSAAJU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N5OTI437HQZB4ODP3VKQGSAAJU/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":"2026-06-06T18:07:39Z","links":{"resolver":"https://pith.science/pith/N5OTI437HQZB4ODP3VKQGSAAJU","bundle":"https://pith.science/pith/N5OTI437HQZB4ODP3VKQGSAAJU/bundle.json","state":"https://pith.science/pith/N5OTI437HQZB4ODP3VKQGSAAJU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N5OTI437HQZB4ODP3VKQGSAAJU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:N5OTI437HQZB4ODP3VKQGSAAJU","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":"8ffa7c5d3a0a244a1bf6df93b190718a68864c9e2e7090b74c80552b8e1430df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-11-02T22:05:31Z","title_canon_sha256":"1965e95e40fd5bbb1457b161b086ed5005913cd4f9554c47841926428abcca98"},"schema_version":"1.0","source":{"id":"1011.0760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.0760","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"arxiv_version","alias_value":"1011.0760v1","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0760","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"pith_short_12","alias_value":"N5OTI437HQZB","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"N5OTI437HQZB4ODP","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"N5OTI437","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:de21230105366d70219d3524af72eb3fb3e4253b2d48b68839b0a3324158fc58","target":"graph","created_at":"2026-05-18T04:37:12Z","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 thesis investigates the flow of non-Newtonian fluids in porous media using pore-scale network modeling. Non-Newtonian fluids show very complex time and strain dependent behavior and may have initial yield stress. Their common feature is that they do not obey the simple Newtonian relation of proportionality between stress and rate of deformation. They are generally classified into three main categories: time-independent, time-dependent and viscoelastic. Two three-dimensional networks representing a sand pack and Berea sandstone were used. An iterative numerical technique is used to solve th","authors_text":"Taha Sochi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-11-02T22:05:31Z","title":"Pore-Scale Modeling of Non-Newtonian Flow in Porous Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0760","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":"sha256:0d6b0dbe926b7d523eb6da5b111b4f071a1c82c30d8db59f669d606a15177242","target":"record","created_at":"2026-05-18T04:37:12Z","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":"8ffa7c5d3a0a244a1bf6df93b190718a68864c9e2e7090b74c80552b8e1430df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-11-02T22:05:31Z","title_canon_sha256":"1965e95e40fd5bbb1457b161b086ed5005913cd4f9554c47841926428abcca98"},"schema_version":"1.0","source":{"id":"1011.0760","kind":"arxiv","version":1}},"canonical_sha256":"6f5d34737f3c321e386fdd550348004d05b72485012fb60a807722eacfa8d74b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f5d34737f3c321e386fdd550348004d05b72485012fb60a807722eacfa8d74b","first_computed_at":"2026-05-18T04:37:12.425514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:12.425514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAMoDqTE9qcpDloZUw/GewV6s01gXYkGUwcf5zXcpx9fCfH9g+qr2xSHpSGT4wS45/8X/JqMJOnje098O+G1DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:12.426099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.0760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d6b0dbe926b7d523eb6da5b111b4f071a1c82c30d8db59f669d606a15177242","sha256:de21230105366d70219d3524af72eb3fb3e4253b2d48b68839b0a3324158fc58"],"state_sha256":"f49bfdc228fa26734cf94c547dad117bd89a18b5368b1f9bffd42fbd64caf5f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wh3pemrUWkAhc1vsrEWXkGeDhqLOsrT3M6o53+cIQe8JteaZaDnGF1V+Npr9ywkA4VpiC8jm1i773J8WQ4GbAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:07:39.882559Z","bundle_sha256":"4121a20e8320c452dfe681d279916b2f4413f70d5dbcc16c5087633713fa244d"}}