{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MTINZZGLB54HQAHPTALKGCLWQB","short_pith_number":"pith:MTINZZGL","canonical_record":{"source":{"id":"1709.10434","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-29T14:47:34Z","cross_cats_sorted":[],"title_canon_sha256":"34e0419910ebf1a8826335c67317867f26489e02dbf31ac1c33572882f0e682a","abstract_canon_sha256":"49bc195d914a093c784dbf1cac3e612389f76ce7be8defb7d5114336ed4107c3"},"schema_version":"1.0"},"canonical_sha256":"64d0dce4cb0f787800ef9816a3097680712269d17f6891ed9946629d0c7f9b21","source":{"kind":"arxiv","id":"1709.10434","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10434","created_at":"2026-05-17T23:58:56Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10434v2","created_at":"2026-05-17T23:58:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10434","created_at":"2026-05-17T23:58:56Z"},{"alias_kind":"pith_short_12","alias_value":"MTINZZGLB54H","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MTINZZGLB54HQAHP","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MTINZZGL","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MTINZZGLB54HQAHPTALKGCLWQB","target":"record","payload":{"canonical_record":{"source":{"id":"1709.10434","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-29T14:47:34Z","cross_cats_sorted":[],"title_canon_sha256":"34e0419910ebf1a8826335c67317867f26489e02dbf31ac1c33572882f0e682a","abstract_canon_sha256":"49bc195d914a093c784dbf1cac3e612389f76ce7be8defb7d5114336ed4107c3"},"schema_version":"1.0"},"canonical_sha256":"64d0dce4cb0f787800ef9816a3097680712269d17f6891ed9946629d0c7f9b21","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:56.225722Z","signature_b64":"NzDz/1ln9Uh39xWdO8FDyxuvnklt7wgINo1+DI+0+Slv0zWbuuVY2D25liA9Iv0TEOOnolCP4E2fGvWk+jDLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64d0dce4cb0f787800ef9816a3097680712269d17f6891ed9946629d0c7f9b21","last_reissued_at":"2026-05-17T23:58:56.225351Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:56.225351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.10434","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eSIMUm5WYK41UUMX9mVldelYB9aCQfek9Rkg80T8ZwlQkz58RiZf+TqGjHtpWxNRt41SOqhO/a16UyD3BgxPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:05:34.645526Z"},"content_sha256":"86f5016454051e76dadd6d521041120f1d8f255bc1a9278036da85d6c851f1a0","schema_version":"1.0","event_id":"sha256:86f5016454051e76dadd6d521041120f1d8f255bc1a9278036da85d6c851f1a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MTINZZGLB54HQAHPTALKGCLWQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-stable linear schemes for polymer-solvent phase field models","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Burkhard D\\\"unweg, Giordano Tierra, M\\'aria Luk\\'a\\v{c}ov\\'a-Medvid'ov\\'a, Paul J. Strasser","submitted_at":"2017-09-29T14:47:34Z","abstract_excerpt":"We present new linear energy-stable numerical schemes for numerical simulation of complex polymer-solvent mixtures. The mathematical model proposed by Zhou, Zhang and E (Physical Review E 73, 2006) consists of the Cahn-Hilliard equation which describes dynamics of the interface that separates polymer and solvent and the Oldroyd-B equations for the hydrodynamics of polymeric mixtures. The model is thermodynamically consistent and dissipates free energy. Our main goal in this paper is to derive numerical schemes for the polymer-solvent mixture model that are energy dissipative and efficient in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10434","kind":"arxiv","version":2},"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":"2026-05-17T23:58:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gY9AnjCsQ4Y9d0zG/opM9O0I6ra8a2XcIIjZKrS9Ck5KxBBImuUufb5BMZqvQe5QKdbAKfVcgJydXwy71YX7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:05:34.646168Z"},"content_sha256":"dc7ba675fe718749b0a85b2d3f8504bec66d449b0f2229e2cce57b7a4998ff0c","schema_version":"1.0","event_id":"sha256:dc7ba675fe718749b0a85b2d3f8504bec66d449b0f2229e2cce57b7a4998ff0c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTINZZGLB54HQAHPTALKGCLWQB/bundle.json","state_url":"https://pith.science/pith/MTINZZGLB54HQAHPTALKGCLWQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTINZZGLB54HQAHPTALKGCLWQB/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":"2026-05-27T08:05:34Z","links":{"resolver":"https://pith.science/pith/MTINZZGLB54HQAHPTALKGCLWQB","bundle":"https://pith.science/pith/MTINZZGLB54HQAHPTALKGCLWQB/bundle.json","state":"https://pith.science/pith/MTINZZGLB54HQAHPTALKGCLWQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTINZZGLB54HQAHPTALKGCLWQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MTINZZGLB54HQAHPTALKGCLWQB","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":"49bc195d914a093c784dbf1cac3e612389f76ce7be8defb7d5114336ed4107c3","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-29T14:47:34Z","title_canon_sha256":"34e0419910ebf1a8826335c67317867f26489e02dbf31ac1c33572882f0e682a"},"schema_version":"1.0","source":{"id":"1709.10434","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.10434","created_at":"2026-05-17T23:58:56Z"},{"alias_kind":"arxiv_version","alias_value":"1709.10434v2","created_at":"2026-05-17T23:58:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.10434","created_at":"2026-05-17T23:58:56Z"},{"alias_kind":"pith_short_12","alias_value":"MTINZZGLB54H","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MTINZZGLB54HQAHP","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MTINZZGL","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:dc7ba675fe718749b0a85b2d3f8504bec66d449b0f2229e2cce57b7a4998ff0c","target":"graph","created_at":"2026-05-17T23:58:56Z","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 new linear energy-stable numerical schemes for numerical simulation of complex polymer-solvent mixtures. The mathematical model proposed by Zhou, Zhang and E (Physical Review E 73, 2006) consists of the Cahn-Hilliard equation which describes dynamics of the interface that separates polymer and solvent and the Oldroyd-B equations for the hydrodynamics of polymeric mixtures. The model is thermodynamically consistent and dissipates free energy. Our main goal in this paper is to derive numerical schemes for the polymer-solvent mixture model that are energy dissipative and efficient in t","authors_text":"Burkhard D\\\"unweg, Giordano Tierra, M\\'aria Luk\\'a\\v{c}ov\\'a-Medvid'ov\\'a, Paul J. Strasser","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-29T14:47:34Z","title":"Energy-stable linear schemes for polymer-solvent phase field models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.10434","kind":"arxiv","version":2},"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":"sha256:86f5016454051e76dadd6d521041120f1d8f255bc1a9278036da85d6c851f1a0","target":"record","created_at":"2026-05-17T23:58:56Z","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":"49bc195d914a093c784dbf1cac3e612389f76ce7be8defb7d5114336ed4107c3","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-29T14:47:34Z","title_canon_sha256":"34e0419910ebf1a8826335c67317867f26489e02dbf31ac1c33572882f0e682a"},"schema_version":"1.0","source":{"id":"1709.10434","kind":"arxiv","version":2}},"canonical_sha256":"64d0dce4cb0f787800ef9816a3097680712269d17f6891ed9946629d0c7f9b21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64d0dce4cb0f787800ef9816a3097680712269d17f6891ed9946629d0c7f9b21","first_computed_at":"2026-05-17T23:58:56.225351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:56.225351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NzDz/1ln9Uh39xWdO8FDyxuvnklt7wgINo1+DI+0+Slv0zWbuuVY2D25liA9Iv0TEOOnolCP4E2fGvWk+jDLCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:56.225722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.10434","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86f5016454051e76dadd6d521041120f1d8f255bc1a9278036da85d6c851f1a0","sha256:dc7ba675fe718749b0a85b2d3f8504bec66d449b0f2229e2cce57b7a4998ff0c"],"state_sha256":"45ed3377dfcd82f1eeeea98757517fff861d253febaf1925ac833b0bd6894a15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KB0Bbd0j3j9cDkIYEqyc5tf/h1bK9agRu/s8dAv5/AKQp13kgHnjJkoxC9Mmy7PI24Wrh7BM+9JOjr1aN4NzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:05:34.649754Z","bundle_sha256":"c7a9964bf334452c85a6b9ce804f3ba3c3de48a407a640bc77883802a5371ae5"}}