{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YZ2RHIELNXZZAUF5R2JLGP3C4X","short_pith_number":"pith:YZ2RHIEL","canonical_record":{"source":{"id":"1802.00691","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-02-02T14:15:13Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"9b6d597206351d455749e1ccf8e9778f4e821018046585f0d1fcec6db3193275","abstract_canon_sha256":"9d80de15a1bd448010ed2715af8e05cba1bd56a188b43734b9953ad91b58dd3c"},"schema_version":"1.0"},"canonical_sha256":"c67513a08b6df39050bd8e92b33f62e5cf6cb9db15065dfb1bb03ce616dadabc","source":{"kind":"arxiv","id":"1802.00691","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00691","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00691v3","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00691","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"pith_short_12","alias_value":"YZ2RHIELNXZZ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YZ2RHIELNXZZAUF5","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YZ2RHIEL","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YZ2RHIELNXZZAUF5R2JLGP3C4X","target":"record","payload":{"canonical_record":{"source":{"id":"1802.00691","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-02-02T14:15:13Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"9b6d597206351d455749e1ccf8e9778f4e821018046585f0d1fcec6db3193275","abstract_canon_sha256":"9d80de15a1bd448010ed2715af8e05cba1bd56a188b43734b9953ad91b58dd3c"},"schema_version":"1.0"},"canonical_sha256":"c67513a08b6df39050bd8e92b33f62e5cf6cb9db15065dfb1bb03ce616dadabc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:57.479028Z","signature_b64":"63bEVNQMWc+E3vtXeEXh2eabuzRhgxRvZRVXzAK2zvhad4mYF45Cao90eFmogcqe0Jm4sKC/j++Y3I1PI+jeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c67513a08b6df39050bd8e92b33f62e5cf6cb9db15065dfb1bb03ce616dadabc","last_reissued_at":"2026-05-18T00:11:57.478344Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:57.478344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.00691","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ARu5vCeUYZC2R1xP473vsTqLQtW5uoBZv1FAY73ADhKtm0wCjvjeHnujzLcZl2Ra8gbAGw6wdA67zGPDV4z6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:23:23.131715Z"},"content_sha256":"b09680d99f199dace19dff53056b9d7d99a8019cc4ff8ebe2bc4c60e75b3b086","schema_version":"1.0","event_id":"sha256:b09680d99f199dace19dff53056b9d7d99a8019cc4ff8ebe2bc4c60e75b3b086"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YZ2RHIELNXZZAUF5R2JLGP3C4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable and efficient time integration of a dynamic pore network model for two-phase flow in porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Alex Hansen, Magnus Aa. Gjennestad, Morten Vassvik, Signe Kjelstrup","submitted_at":"2018-02-02T14:15:13Z","abstract_excerpt":"We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method developed herein. The explicit methods are known to suffer from numerical instabilities at low capillary numbers. A new time-step criterion is suggested in order to stabilize them. Numerical experiments, including a Haines jump case, are performed and these demonstrate that stabilization is achieved. Further, the results from the Haines jump case are consisten"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00691","kind":"arxiv","version":3},"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":"2026-05-18T00:11:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oTd04dyEkWxgTiada+HReE/GbblS4JJjH6QvtuVKTayMrCCelK+sn79fXXQRBdgMZPO7BWRLguyO9zsAlStyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:23:23.132072Z"},"content_sha256":"6b0e401fa17e0c69d7cce5cb6842a6f121ced9d699d2243ce26d697ec69b6476","schema_version":"1.0","event_id":"sha256:6b0e401fa17e0c69d7cce5cb6842a6f121ced9d699d2243ce26d697ec69b6476"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X/bundle.json","state_url":"https://pith.science/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X/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":"2026-06-04T23:23:23Z","links":{"resolver":"https://pith.science/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X","bundle":"https://pith.science/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X/bundle.json","state":"https://pith.science/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YZ2RHIELNXZZAUF5R2JLGP3C4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YZ2RHIELNXZZAUF5R2JLGP3C4X","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":"9d80de15a1bd448010ed2715af8e05cba1bd56a188b43734b9953ad91b58dd3c","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-02-02T14:15:13Z","title_canon_sha256":"9b6d597206351d455749e1ccf8e9778f4e821018046585f0d1fcec6db3193275"},"schema_version":"1.0","source":{"id":"1802.00691","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00691","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00691v3","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00691","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"pith_short_12","alias_value":"YZ2RHIELNXZZ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YZ2RHIELNXZZAUF5","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YZ2RHIEL","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:6b0e401fa17e0c69d7cce5cb6842a6f121ced9d699d2243ce26d697ec69b6476","target":"graph","created_at":"2026-05-18T00:11:57Z","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":"We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method developed herein. The explicit methods are known to suffer from numerical instabilities at low capillary numbers. A new time-step criterion is suggested in order to stabilize them. Numerical experiments, including a Haines jump case, are performed and these demonstrate that stabilization is achieved. Further, the results from the Haines jump case are consisten","authors_text":"Alex Hansen, Magnus Aa. Gjennestad, Morten Vassvik, Signe Kjelstrup","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-02-02T14:15:13Z","title":"Stable and efficient time integration of a dynamic pore network model for two-phase flow in porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00691","kind":"arxiv","version":3},"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:b09680d99f199dace19dff53056b9d7d99a8019cc4ff8ebe2bc4c60e75b3b086","target":"record","created_at":"2026-05-18T00:11:57Z","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":"9d80de15a1bd448010ed2715af8e05cba1bd56a188b43734b9953ad91b58dd3c","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-02-02T14:15:13Z","title_canon_sha256":"9b6d597206351d455749e1ccf8e9778f4e821018046585f0d1fcec6db3193275"},"schema_version":"1.0","source":{"id":"1802.00691","kind":"arxiv","version":3}},"canonical_sha256":"c67513a08b6df39050bd8e92b33f62e5cf6cb9db15065dfb1bb03ce616dadabc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c67513a08b6df39050bd8e92b33f62e5cf6cb9db15065dfb1bb03ce616dadabc","first_computed_at":"2026-05-18T00:11:57.478344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:57.478344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"63bEVNQMWc+E3vtXeEXh2eabuzRhgxRvZRVXzAK2zvhad4mYF45Cao90eFmogcqe0Jm4sKC/j++Y3I1PI+jeCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:57.479028Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00691","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b09680d99f199dace19dff53056b9d7d99a8019cc4ff8ebe2bc4c60e75b3b086","sha256:6b0e401fa17e0c69d7cce5cb6842a6f121ced9d699d2243ce26d697ec69b6476"],"state_sha256":"be267c3b2f035167a511dc4dc3222c68ab5178b05187aa77fc3c543fe79d359e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uyLleXq7DTcYCIl1w8w8QSwLFaZ/stXct8pxH6NSvSOtHF3rE7EjKT8YO5H3zpAHlam7orlFjGugziCW187ADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:23:23.134306Z","bundle_sha256":"b60e9a4e657e46d8130bbd64e9de4e7a55cc29b70c1b263b9e1f388b4429725b"}}