{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:X7UIAZ7E3D3VLBVGAC4W6JYOVM","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":"e7de29fa402e16f85a9a1755e6b50e1ed0b0e30d43640dcfa11dd006e76a459a","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-04-10T09:17:27Z","title_canon_sha256":"f34d855b1898906c0249adcae95845e95299c594aa941a5b25a7e602b6889d99"},"schema_version":"1.0","source":{"id":"1204.2088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2088","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2088v1","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2088","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"X7UIAZ7E3D3V","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"X7UIAZ7E3D3VLBVG","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"X7UIAZ7E","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:412ff6f4f277b6017ac61c6c49fad1ec374cc2623e0972634bac101acbc51ce2","target":"graph","created_at":"2026-05-18T03:58:13Z","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 hybrid numerical method to introduce hydrodynamics in dynamic self-consistent field (SCF) studies of inhomogeneous polymer systems. It solves a set of coupled dynamical equations: The Navier-Stokes equations for the fluid flow, and SCF-based convection-diffusion equations for the evolution of the local monomer compositions. The Navier-Stokes equaitons are simulated by the lattice Boltzmann method and the dynamic self-consistent equations are solved by a finite difference scheme. Two applications are presented: First, we study microphase separation in symmetric and asymmetric block","authors_text":"Agur Sevink, Friederike Schmid, Liangshun Zhang","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-04-10T09:17:27Z","title":"Hybrid Lattice Boltzmann / Dynamic Self-Consistent Field Simulations of Microphase Separation and Vesicle Formation in Block Copolymer Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2088","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:dd3e4281393a238c777c67fdd562fe95a5d5efd13597504537cccfa31e4ae5b9","target":"record","created_at":"2026-05-18T03:58:13Z","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":"e7de29fa402e16f85a9a1755e6b50e1ed0b0e30d43640dcfa11dd006e76a459a","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-04-10T09:17:27Z","title_canon_sha256":"f34d855b1898906c0249adcae95845e95299c594aa941a5b25a7e602b6889d99"},"schema_version":"1.0","source":{"id":"1204.2088","kind":"arxiv","version":1}},"canonical_sha256":"bfe88067e4d8f75586a600b96f270eab2e34d60b96d196ab18bf87b1b4c67789","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfe88067e4d8f75586a600b96f270eab2e34d60b96d196ab18bf87b1b4c67789","first_computed_at":"2026-05-18T03:58:13.340531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:13.340531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fgQ/FY9hf9677IPBBKvyotRkTfTMRLI/iO9S3Vip1bFN9UavNZlIwtLisnuJLlxlwvuYImr1x7ra56IUr3qJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:13.341093Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd3e4281393a238c777c67fdd562fe95a5d5efd13597504537cccfa31e4ae5b9","sha256:412ff6f4f277b6017ac61c6c49fad1ec374cc2623e0972634bac101acbc51ce2"],"state_sha256":"c8e668b131d6a645c101e079b1f9e1231ea2cfd7d831ed1fda818e58bde10f00"}