{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OWQNYNAZAIKPP7536QM7XNNHJK","short_pith_number":"pith:OWQNYNAZ","canonical_record":{"source":{"id":"1803.03423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-09T09:03:24Z","cross_cats_sorted":[],"title_canon_sha256":"c171e30dd03c2d7417762f2e757f6a380c4e58b0dc7820b4db53dfdb1a749f1e","abstract_canon_sha256":"28e68cd5b206b36cc703da32e39618d5611d07a7d4f7f3db930ae8cfb521728b"},"schema_version":"1.0"},"canonical_sha256":"75a0dc34190214f7ffbbf419fbb5a74a866d01a91efc88f6830864f019d1ddab","source":{"kind":"arxiv","id":"1803.03423","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03423","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03423v1","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03423","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"pith_short_12","alias_value":"OWQNYNAZAIKP","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OWQNYNAZAIKPP753","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OWQNYNAZ","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OWQNYNAZAIKPP7536QM7XNNHJK","target":"record","payload":{"canonical_record":{"source":{"id":"1803.03423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-09T09:03:24Z","cross_cats_sorted":[],"title_canon_sha256":"c171e30dd03c2d7417762f2e757f6a380c4e58b0dc7820b4db53dfdb1a749f1e","abstract_canon_sha256":"28e68cd5b206b36cc703da32e39618d5611d07a7d4f7f3db930ae8cfb521728b"},"schema_version":"1.0"},"canonical_sha256":"75a0dc34190214f7ffbbf419fbb5a74a866d01a91efc88f6830864f019d1ddab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:39.630877Z","signature_b64":"KnN3z8+S3u1awbdh7p5hEzbo+0rzDRM1bYaqRLf4WgY0xTC1VDLm8g8RHYwuh4om3ICukCOkmFNqoaCUEKAjBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75a0dc34190214f7ffbbf419fbb5a74a866d01a91efc88f6830864f019d1ddab","last_reissued_at":"2026-05-18T00:21:39.630177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:39.630177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.03423","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":"2026-05-18T00:21:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"569jEODF1IXikJjHpeS4enkMEPvg/4q6VJdhLYf3j9SMsWFUorm11h6UMw+aQxmNZBxPQgHZAUMA5/FJovF6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:42:55.228772Z"},"content_sha256":"2f6371a659c0418a14f2b6965f784b12f38837477e380a8c076cd2dec30270cd","schema_version":"1.0","event_id":"sha256:2f6371a659c0418a14f2b6965f784b12f38837477e380a8c076cd2dec30270cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OWQNYNAZAIKPP7536QM7XNNHJK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Lars H. Ods{\\ae}ter, Mats G. Larson, Trond Kvamsdal","submitted_at":"2018-03-09T09:03:24Z","abstract_excerpt":"Accurate simulation of fluid flow and transport in fractured porous media is a key challenge in subsurface reservoir engineering. Due to the high ratio between its length and width, fractures can be modeled as lower dimensional interfaces embedded in the porous rock. We apply a recently developed embedded finite element method (EFEM) for the Darcy problem. This method allows for general fracture geometry, and the fractures may cut the finite element mesh arbitrarily. We present here a velocity model for EFEM and couple the Darcy problem to a transport problem for a passive solute. The main nov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03423","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":"2026-05-18T00:21:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0U8COa3ZnvCuIdWBljTxF5hWej8z28p4D4LjSNrYhrq6uokYZoSnO2HE+QPV7ZlOKSF9hOp7T2P9H71gY/YiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:42:55.229118Z"},"content_sha256":"e1e64bd4c88f32c1061758b8bb674e03625d54485b5387893cd4fe1102e4ae83","schema_version":"1.0","event_id":"sha256:e1e64bd4c88f32c1061758b8bb674e03625d54485b5387893cd4fe1102e4ae83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWQNYNAZAIKPP7536QM7XNNHJK/bundle.json","state_url":"https://pith.science/pith/OWQNYNAZAIKPP7536QM7XNNHJK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWQNYNAZAIKPP7536QM7XNNHJK/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":"2026-06-29T14:42:55Z","links":{"resolver":"https://pith.science/pith/OWQNYNAZAIKPP7536QM7XNNHJK","bundle":"https://pith.science/pith/OWQNYNAZAIKPP7536QM7XNNHJK/bundle.json","state":"https://pith.science/pith/OWQNYNAZAIKPP7536QM7XNNHJK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWQNYNAZAIKPP7536QM7XNNHJK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OWQNYNAZAIKPP7536QM7XNNHJK","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":"28e68cd5b206b36cc703da32e39618d5611d07a7d4f7f3db930ae8cfb521728b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-09T09:03:24Z","title_canon_sha256":"c171e30dd03c2d7417762f2e757f6a380c4e58b0dc7820b4db53dfdb1a749f1e"},"schema_version":"1.0","source":{"id":"1803.03423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03423","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03423v1","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03423","created_at":"2026-05-18T00:21:39Z"},{"alias_kind":"pith_short_12","alias_value":"OWQNYNAZAIKP","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OWQNYNAZAIKPP753","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OWQNYNAZ","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:e1e64bd4c88f32c1061758b8bb674e03625d54485b5387893cd4fe1102e4ae83","target":"graph","created_at":"2026-05-18T00:21:39Z","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 simulation of fluid flow and transport in fractured porous media is a key challenge in subsurface reservoir engineering. Due to the high ratio between its length and width, fractures can be modeled as lower dimensional interfaces embedded in the porous rock. We apply a recently developed embedded finite element method (EFEM) for the Darcy problem. This method allows for general fracture geometry, and the fractures may cut the finite element mesh arbitrarily. We present here a velocity model for EFEM and couple the Darcy problem to a transport problem for a passive solute. The main nov","authors_text":"Lars H. Ods{\\ae}ter, Mats G. Larson, Trond Kvamsdal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-09T09:03:24Z","title":"A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03423","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":"sha256:2f6371a659c0418a14f2b6965f784b12f38837477e380a8c076cd2dec30270cd","target":"record","created_at":"2026-05-18T00:21:39Z","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":"28e68cd5b206b36cc703da32e39618d5611d07a7d4f7f3db930ae8cfb521728b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-09T09:03:24Z","title_canon_sha256":"c171e30dd03c2d7417762f2e757f6a380c4e58b0dc7820b4db53dfdb1a749f1e"},"schema_version":"1.0","source":{"id":"1803.03423","kind":"arxiv","version":1}},"canonical_sha256":"75a0dc34190214f7ffbbf419fbb5a74a866d01a91efc88f6830864f019d1ddab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75a0dc34190214f7ffbbf419fbb5a74a866d01a91efc88f6830864f019d1ddab","first_computed_at":"2026-05-18T00:21:39.630177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:39.630177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KnN3z8+S3u1awbdh7p5hEzbo+0rzDRM1bYaqRLf4WgY0xTC1VDLm8g8RHYwuh4om3ICukCOkmFNqoaCUEKAjBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:39.630877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f6371a659c0418a14f2b6965f784b12f38837477e380a8c076cd2dec30270cd","sha256:e1e64bd4c88f32c1061758b8bb674e03625d54485b5387893cd4fe1102e4ae83"],"state_sha256":"0c1b6d1a032e095f72b893cdc19c8c09858b025ecde27babfff9602b9eb9474f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J+b8/PH8YiS8Oc057K4wADXTvSCzikulEyo65X22Lm3g0DQMw+jEhCVJLe30oh3cxNoYEJFdvP5qBLneoEZyBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T14:42:55.231826Z","bundle_sha256":"d1173037682556cc19c0e014fe8d5a932a671ca0fe7df416fbdcb0e8e58d9bfd"}}