{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CXTKV5LYUQMLLYU74N3ZLGE46M","short_pith_number":"pith:CXTKV5LY","canonical_record":{"source":{"id":"1811.11842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-28T21:24:29Z","cross_cats_sorted":[],"title_canon_sha256":"16b2abdc3b7a08c1f69cf5a543b935d0025a25180d2263933a5a4a38ce2679bc","abstract_canon_sha256":"1967f1c77b9996113ae80bdac98f9d317327f13d6fec3413ff7ba601a9a3fbac"},"schema_version":"1.0"},"canonical_sha256":"15e6aaf578a418b5e29fe37795989cf33d3790816138b886cff69e45083c5f4a","source":{"kind":"arxiv","id":"1811.11842","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11842","created_at":"2026-05-17T23:59:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11842v1","created_at":"2026-05-17T23:59:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11842","created_at":"2026-05-17T23:59:37Z"},{"alias_kind":"pith_short_12","alias_value":"CXTKV5LYUQML","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CXTKV5LYUQMLLYU7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CXTKV5LY","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CXTKV5LYUQMLLYU74N3ZLGE46M","target":"record","payload":{"canonical_record":{"source":{"id":"1811.11842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-28T21:24:29Z","cross_cats_sorted":[],"title_canon_sha256":"16b2abdc3b7a08c1f69cf5a543b935d0025a25180d2263933a5a4a38ce2679bc","abstract_canon_sha256":"1967f1c77b9996113ae80bdac98f9d317327f13d6fec3413ff7ba601a9a3fbac"},"schema_version":"1.0"},"canonical_sha256":"15e6aaf578a418b5e29fe37795989cf33d3790816138b886cff69e45083c5f4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:37.463278Z","signature_b64":"O3D9H6vQ15nu/djC6Pxa9/YWUjRtoEw6MbpYrPX1KqOie41LVIvXc2fBQlUofWjf1tUDw6LUbSNjRiHmsF3SBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15e6aaf578a418b5e29fe37795989cf33d3790816138b886cff69e45083c5f4a","last_reissued_at":"2026-05-17T23:59:37.462570Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:37.462570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.11842","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":"2026-05-17T23:59:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O44wcmzIb3V1nCzUDY4h+K8YgXo9YRxDOsSie5TInFtMgHhU3BCGCnFYmAEq9sxgWNi2v3H2UZZpan9Q7fi9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:46:55.448375Z"},"content_sha256":"2249c47c9a397bbabf712b57751ad305243c5588897bb2117e18adad5b45ba1e","schema_version":"1.0","event_id":"sha256:2249c47c9a397bbabf712b57751ad305243c5588897bb2117e18adad5b45ba1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CXTKV5LYUQMLLYU74N3ZLGE46M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parallel Simulations of Biofilm Flow Using the Modified Cahn-Hilliard Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jeffrey Doom, Jung-Han Kimn, Nathan McClanahan, Nicholas Stegmeier, Rylee Sundermann","submitted_at":"2018-11-28T21:24:29Z","abstract_excerpt":"We present a 2D parallel implementation of the modified Cahn-Hilliard equation for the simulation of a biofilm in an aqueous enviroment. Biofilms are attached microbial communities made of many different components and can have both positive and negative effects. They can be used for bioremediation but also are the cause of the majority of chronic infections. It is for these reasons that we study them. Due to their composition being mostly water we choose to model them as an incompressible fluid. We used a visco-elastic phase separation model based on the modified Cahn-Hilliard equation and th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11842","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":"2026-05-17T23:59:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5wU3GL+TzWV5sNRIyAY0j7sd+CdrcgbqutdNcgZKHvO5VnJSifCZa2r8q49vGGu4LB93kLNgObvan+1XLU2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:46:55.448978Z"},"content_sha256":"4430d7da46581f9d558b9f761852b1f2f726f96e7736a2ef108e8fc0b6b93854","schema_version":"1.0","event_id":"sha256:4430d7da46581f9d558b9f761852b1f2f726f96e7736a2ef108e8fc0b6b93854"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXTKV5LYUQMLLYU74N3ZLGE46M/bundle.json","state_url":"https://pith.science/pith/CXTKV5LYUQMLLYU74N3ZLGE46M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXTKV5LYUQMLLYU74N3ZLGE46M/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":"2026-05-31T00:46:55Z","links":{"resolver":"https://pith.science/pith/CXTKV5LYUQMLLYU74N3ZLGE46M","bundle":"https://pith.science/pith/CXTKV5LYUQMLLYU74N3ZLGE46M/bundle.json","state":"https://pith.science/pith/CXTKV5LYUQMLLYU74N3ZLGE46M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXTKV5LYUQMLLYU74N3ZLGE46M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CXTKV5LYUQMLLYU74N3ZLGE46M","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":"1967f1c77b9996113ae80bdac98f9d317327f13d6fec3413ff7ba601a9a3fbac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-28T21:24:29Z","title_canon_sha256":"16b2abdc3b7a08c1f69cf5a543b935d0025a25180d2263933a5a4a38ce2679bc"},"schema_version":"1.0","source":{"id":"1811.11842","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11842","created_at":"2026-05-17T23:59:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11842v1","created_at":"2026-05-17T23:59:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11842","created_at":"2026-05-17T23:59:37Z"},{"alias_kind":"pith_short_12","alias_value":"CXTKV5LYUQML","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CXTKV5LYUQMLLYU7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CXTKV5LY","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:4430d7da46581f9d558b9f761852b1f2f726f96e7736a2ef108e8fc0b6b93854","target":"graph","created_at":"2026-05-17T23:59:37Z","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 present a 2D parallel implementation of the modified Cahn-Hilliard equation for the simulation of a biofilm in an aqueous enviroment. Biofilms are attached microbial communities made of many different components and can have both positive and negative effects. They can be used for bioremediation but also are the cause of the majority of chronic infections. It is for these reasons that we study them. Due to their composition being mostly water we choose to model them as an incompressible fluid. We used a visco-elastic phase separation model based on the modified Cahn-Hilliard equation and th","authors_text":"Jeffrey Doom, Jung-Han Kimn, Nathan McClanahan, Nicholas Stegmeier, Rylee Sundermann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-28T21:24:29Z","title":"Parallel Simulations of Biofilm Flow Using the Modified Cahn-Hilliard Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11842","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":"sha256:2249c47c9a397bbabf712b57751ad305243c5588897bb2117e18adad5b45ba1e","target":"record","created_at":"2026-05-17T23:59:37Z","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":"1967f1c77b9996113ae80bdac98f9d317327f13d6fec3413ff7ba601a9a3fbac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-28T21:24:29Z","title_canon_sha256":"16b2abdc3b7a08c1f69cf5a543b935d0025a25180d2263933a5a4a38ce2679bc"},"schema_version":"1.0","source":{"id":"1811.11842","kind":"arxiv","version":1}},"canonical_sha256":"15e6aaf578a418b5e29fe37795989cf33d3790816138b886cff69e45083c5f4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15e6aaf578a418b5e29fe37795989cf33d3790816138b886cff69e45083c5f4a","first_computed_at":"2026-05-17T23:59:37.462570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:37.462570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O3D9H6vQ15nu/djC6Pxa9/YWUjRtoEw6MbpYrPX1KqOie41LVIvXc2fBQlUofWjf1tUDw6LUbSNjRiHmsF3SBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:37.463278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.11842","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2249c47c9a397bbabf712b57751ad305243c5588897bb2117e18adad5b45ba1e","sha256:4430d7da46581f9d558b9f761852b1f2f726f96e7736a2ef108e8fc0b6b93854"],"state_sha256":"78714bdfb901ab49904b9407750a8cabed7def559176bb0d0893ffc3042bbe9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"44BYKS9Yf2eGCODEokJMGB7B81RwjSsNsZaoQYKsBcUKcTVKJy1oeOnVsXsMLHpVs2vu1YxTz5rJeHK0Gh0AAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:46:55.451494Z","bundle_sha256":"cfa075bb2e853d77788446224b63907043d6276d8c69e5de5ac2b96b8c760150"}}