{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TCBDGES7CGZ62UJXND6NZY6EWC","short_pith_number":"pith:TCBDGES7","canonical_record":{"source":{"id":"1605.07566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-05-24T19:07:29Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"cff2a273eb0f9b582a2e042b748ec119509f9f290616ef83ffcf8a060ed917b6","abstract_canon_sha256":"7f9ddf329ae16fb4db532c14e6a935c5a147aac4e98adef7cdbe0115174e35d5"},"schema_version":"1.0"},"canonical_sha256":"988233125f11b3ed513768fcdce3c4b0af93b172578cb6550824aeba3bc5bf06","source":{"kind":"arxiv","id":"1605.07566","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07566","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07566v1","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07566","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"pith_short_12","alias_value":"TCBDGES7CGZ6","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TCBDGES7CGZ62UJX","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TCBDGES7","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TCBDGES7CGZ62UJXND6NZY6EWC","target":"record","payload":{"canonical_record":{"source":{"id":"1605.07566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-05-24T19:07:29Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"cff2a273eb0f9b582a2e042b748ec119509f9f290616ef83ffcf8a060ed917b6","abstract_canon_sha256":"7f9ddf329ae16fb4db532c14e6a935c5a147aac4e98adef7cdbe0115174e35d5"},"schema_version":"1.0"},"canonical_sha256":"988233125f11b3ed513768fcdce3c4b0af93b172578cb6550824aeba3bc5bf06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:41.718262Z","signature_b64":"H8cBj0a9EZVhT+VlGV/CtS6k71RfohrwHS3N7Kza1dDH2AG9IzVPcgJFDfEzscPmtRxSD5MnI4kpJt51LNGwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"988233125f11b3ed513768fcdce3c4b0af93b172578cb6550824aeba3bc5bf06","last_reissued_at":"2026-05-18T01:12:41.717918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:41.717918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.07566","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":"2026-05-18T01:12:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBmc3n9Ve4+Rg6SuC1Dp00DHqUDvYQZi8MIiH3XM/fReYnXb+Tr/2VOZap4J88KNFswnVg5TcPYzdUX59LSLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:24:53.502027Z"},"content_sha256":"c477980598a23007a0b2e99f1a74bdce6a06f2a4be334a3410413c1bcfdfaa48","schema_version":"1.0","event_id":"sha256:c477980598a23007a0b2e99f1a74bdce6a06f2a4be334a3410413c1bcfdfaa48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TCBDGES7CGZ62UJXND6NZY6EWC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiscale method for Oseen problem in porous media with non-periodic grain patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.flu-dyn","authors_text":"Bagus Putra Muljadi","submitted_at":"2016-05-24T19:07:29Z","abstract_excerpt":"Accurate prediction of the macroscopic flow parameters needed to describe flow in porous media relies on a good knowledge of flow field distribution at a much smaller scale---in the pore spaces. The extent of the inertial effect in the pore spaces can not be underestimated yet is often ignored in large-scale simulations of fluid flow. We present a multiscale method for solving Oseen's approximation of incompressible flow in the pore spaces amid non-periodic grain patterns. The method is based on the multiscale finite element method (MsFEM [Hou and Wu, 1997]) and is built in the vein of Crouzei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07566","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":"2026-05-18T01:12:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sKsnBUsmq72zovH1KteCdjyOf7CiWOtaGiKivMzfRAVCuWu/LvS8pmjCkK0ho9lJynixMs4FSU5cUl/5LZjkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:24:53.502390Z"},"content_sha256":"fcdd709ff3d8e73f38cbea3f9f8a5c2a8af8b5a46612a49fca832ed830124ef3","schema_version":"1.0","event_id":"sha256:fcdd709ff3d8e73f38cbea3f9f8a5c2a8af8b5a46612a49fca832ed830124ef3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCBDGES7CGZ62UJXND6NZY6EWC/bundle.json","state_url":"https://pith.science/pith/TCBDGES7CGZ62UJXND6NZY6EWC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCBDGES7CGZ62UJXND6NZY6EWC/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":"2026-06-04T04:24:53Z","links":{"resolver":"https://pith.science/pith/TCBDGES7CGZ62UJXND6NZY6EWC","bundle":"https://pith.science/pith/TCBDGES7CGZ62UJXND6NZY6EWC/bundle.json","state":"https://pith.science/pith/TCBDGES7CGZ62UJXND6NZY6EWC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCBDGES7CGZ62UJXND6NZY6EWC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TCBDGES7CGZ62UJXND6NZY6EWC","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":"7f9ddf329ae16fb4db532c14e6a935c5a147aac4e98adef7cdbe0115174e35d5","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-05-24T19:07:29Z","title_canon_sha256":"cff2a273eb0f9b582a2e042b748ec119509f9f290616ef83ffcf8a060ed917b6"},"schema_version":"1.0","source":{"id":"1605.07566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07566","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07566v1","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07566","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"pith_short_12","alias_value":"TCBDGES7CGZ6","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TCBDGES7CGZ62UJX","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TCBDGES7","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:fcdd709ff3d8e73f38cbea3f9f8a5c2a8af8b5a46612a49fca832ed830124ef3","target":"graph","created_at":"2026-05-18T01:12:41Z","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":"Accurate prediction of the macroscopic flow parameters needed to describe flow in porous media relies on a good knowledge of flow field distribution at a much smaller scale---in the pore spaces. The extent of the inertial effect in the pore spaces can not be underestimated yet is often ignored in large-scale simulations of fluid flow. We present a multiscale method for solving Oseen's approximation of incompressible flow in the pore spaces amid non-periodic grain patterns. The method is based on the multiscale finite element method (MsFEM [Hou and Wu, 1997]) and is built in the vein of Crouzei","authors_text":"Bagus Putra Muljadi","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-05-24T19:07:29Z","title":"Multiscale method for Oseen problem in porous media with non-periodic grain patterns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07566","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:c477980598a23007a0b2e99f1a74bdce6a06f2a4be334a3410413c1bcfdfaa48","target":"record","created_at":"2026-05-18T01:12:41Z","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":"7f9ddf329ae16fb4db532c14e6a935c5a147aac4e98adef7cdbe0115174e35d5","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-05-24T19:07:29Z","title_canon_sha256":"cff2a273eb0f9b582a2e042b748ec119509f9f290616ef83ffcf8a060ed917b6"},"schema_version":"1.0","source":{"id":"1605.07566","kind":"arxiv","version":1}},"canonical_sha256":"988233125f11b3ed513768fcdce3c4b0af93b172578cb6550824aeba3bc5bf06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"988233125f11b3ed513768fcdce3c4b0af93b172578cb6550824aeba3bc5bf06","first_computed_at":"2026-05-18T01:12:41.717918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:41.717918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8cBj0a9EZVhT+VlGV/CtS6k71RfohrwHS3N7Kza1dDH2AG9IzVPcgJFDfEzscPmtRxSD5MnI4kpJt51LNGwAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:41.718262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c477980598a23007a0b2e99f1a74bdce6a06f2a4be334a3410413c1bcfdfaa48","sha256:fcdd709ff3d8e73f38cbea3f9f8a5c2a8af8b5a46612a49fca832ed830124ef3"],"state_sha256":"f34365f8150914e4649ad7220e679a49007cd1ed2dde35e1979d891374e2da4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jqFEoDqnxRO/bPQrKAVYABlLY5BJsGk+Zc6e0xkYRhCb6PdW6RmKNsIHbIteAeCHCXkPXja+7NjBhcOZN6leDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:24:53.504350Z","bundle_sha256":"fd820a2da25d5f39475b41ce2e1edbece6560f51dad5f474e6f344f681f6e873"}}