{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:GGZYTFFBONXHZZDFUCQ23JTYTU","short_pith_number":"pith:GGZYTFFB","schema_version":"1.0","canonical_sha256":"31b38994a1736e7ce465a0a1ada6789d086a82d1465de79a2cea3c6435f663a6","source":{"kind":"arxiv","id":"0903.0437","version":2},"attestation_state":"computed","paper":{"title":"A Multiscale Model of Partial Melts 2: Numerical Results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.geo-ph","authors_text":"Gideon Simpson, Marc Spiegelman, Michael I. Weinstein","submitted_at":"2009-03-03T03:37:10Z","abstract_excerpt":"In a companion paper, equations for partially molten media were derived using two-scale homogenization theory. One advantage of homogenization is that material properties, such as permeability and viscosity, readily emerge. A caveat is that the dependence of these parameters upon the microstructure is not self-evident. In particular, one seeks to relate them to the porosity. In this paper, we numerically solve ensembles of the cell problems from which these quantities emerge. Using this data, we estimate relationships between the parameters and the porosity. In particular, the bulk viscosity a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0903.0437","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2009-03-03T03:37:10Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"2fdba1fe77bb34f606601cf135b777058bb88f6ca1f6fda9703bfb952b9983ff","abstract_canon_sha256":"a0f57752af430e177a574b31f895666c68faf3941ef276773c2377814e4121e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:37.698859Z","signature_b64":"51gt6ykPtOjXwZ4BI4dABlq60Chj8QkHpqpskbj+vWbBIVOX123dDStePSHXcwhDvK7s9adClser234ho0qJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31b38994a1736e7ce465a0a1ada6789d086a82d1465de79a2cea3c6435f663a6","last_reissued_at":"2026-05-18T02:14:37.698152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:37.698152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Multiscale Model of Partial Melts 2: Numerical Results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.geo-ph","authors_text":"Gideon Simpson, Marc Spiegelman, Michael I. Weinstein","submitted_at":"2009-03-03T03:37:10Z","abstract_excerpt":"In a companion paper, equations for partially molten media were derived using two-scale homogenization theory. One advantage of homogenization is that material properties, such as permeability and viscosity, readily emerge. A caveat is that the dependence of these parameters upon the microstructure is not self-evident. In particular, one seeks to relate them to the porosity. In this paper, we numerically solve ensembles of the cell problems from which these quantities emerge. Using this data, we estimate relationships between the parameters and the porosity. In particular, the bulk viscosity a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0437","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0903.0437","created_at":"2026-05-18T02:14:37.698252+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.0437v2","created_at":"2026-05-18T02:14:37.698252+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0437","created_at":"2026-05-18T02:14:37.698252+00:00"},{"alias_kind":"pith_short_12","alias_value":"GGZYTFFBONXH","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"GGZYTFFBONXHZZDF","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"GGZYTFFB","created_at":"2026-05-18T12:25:59.703012+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU","json":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU.json","graph_json":"https://pith.science/api/pith-number/GGZYTFFBONXHZZDFUCQ23JTYTU/graph.json","events_json":"https://pith.science/api/pith-number/GGZYTFFBONXHZZDFUCQ23JTYTU/events.json","paper":"https://pith.science/paper/GGZYTFFB"},"agent_actions":{"view_html":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU","download_json":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU.json","view_paper":"https://pith.science/paper/GGZYTFFB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.0437&json=true","fetch_graph":"https://pith.science/api/pith-number/GGZYTFFBONXHZZDFUCQ23JTYTU/graph.json","fetch_events":"https://pith.science/api/pith-number/GGZYTFFBONXHZZDFUCQ23JTYTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU/action/storage_attestation","attest_author":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU/action/author_attestation","sign_citation":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU/action/citation_signature","submit_replication":"https://pith.science/pith/GGZYTFFBONXHZZDFUCQ23JTYTU/action/replication_record"}},"created_at":"2026-05-18T02:14:37.698252+00:00","updated_at":"2026-05-18T02:14:37.698252+00:00"}