{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:RJRUVHURUJF5XCFTHOY66IILD6","short_pith_number":"pith:RJRUVHUR","schema_version":"1.0","canonical_sha256":"8a634a9e91a24bdb88b33bb1ef210b1fbefbf713bd813bdf039ddb9a663493fe","source":{"kind":"arxiv","id":"1804.09491","version":1},"attestation_state":"computed","paper":{"title":"A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Dominic Etienne Charrier, Leonhard Rannabauer, Maurizio Tavelli, Michael Bader, Michael Dumbser, Tobias Weinzierl","submitted_at":"2018-04-25T11:53:11Z","abstract_excerpt":"In most classical approaches of computational geophysics for seismic wave propagation problems, complex surface topography is either accounted for by boundary-fitted unstructured meshes, or, where possible, by mapping the complex computational domain from physical space to a topologically simple domain in a reference coordinate system. In this paper we propose a completely different strategy. We address the problem of geometrically complex free surface boundary conditions with a novel diffuse interface method on adaptive Cartesian meshes that consists in the introduction of a characteristic fu"},"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":"1804.09491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-25T11:53:11Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"409c602a27f7f7520004b3c8860d358fc857694f24379e2e481dc109b8637d7c","abstract_canon_sha256":"80a8ce2c38c0782780d47f6fba3ec41b1bc4a7f3aa556c54735fc02aa355a1f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:31.210930Z","signature_b64":"AVGfJcx1ik9ss9M2Ts50Dzd1RE4BTj/0eiQwUUt5/9/dHX9Vgc3WbvOuvCj1CrlBDNQhHtxFonVfaz089qVjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a634a9e91a24bdb88b33bb1ef210b1fbefbf713bd813bdf039ddb9a663493fe","last_reissued_at":"2026-05-17T23:47:31.210206Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:31.210206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Dominic Etienne Charrier, Leonhard Rannabauer, Maurizio Tavelli, Michael Bader, Michael Dumbser, Tobias Weinzierl","submitted_at":"2018-04-25T11:53:11Z","abstract_excerpt":"In most classical approaches of computational geophysics for seismic wave propagation problems, complex surface topography is either accounted for by boundary-fitted unstructured meshes, or, where possible, by mapping the complex computational domain from physical space to a topologically simple domain in a reference coordinate system. In this paper we propose a completely different strategy. We address the problem of geometrically complex free surface boundary conditions with a novel diffuse interface method on adaptive Cartesian meshes that consists in the introduction of a characteristic fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09491","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.09491","created_at":"2026-05-17T23:47:31.210339+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.09491v1","created_at":"2026-05-17T23:47:31.210339+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09491","created_at":"2026-05-17T23:47:31.210339+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJRUVHURUJF5","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJRUVHURUJF5XCFT","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJRUVHUR","created_at":"2026-05-18T12:32:50.500415+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/RJRUVHURUJF5XCFTHOY66IILD6","json":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6.json","graph_json":"https://pith.science/api/pith-number/RJRUVHURUJF5XCFTHOY66IILD6/graph.json","events_json":"https://pith.science/api/pith-number/RJRUVHURUJF5XCFTHOY66IILD6/events.json","paper":"https://pith.science/paper/RJRUVHUR"},"agent_actions":{"view_html":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6","download_json":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6.json","view_paper":"https://pith.science/paper/RJRUVHUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.09491&json=true","fetch_graph":"https://pith.science/api/pith-number/RJRUVHURUJF5XCFTHOY66IILD6/graph.json","fetch_events":"https://pith.science/api/pith-number/RJRUVHURUJF5XCFTHOY66IILD6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6/action/storage_attestation","attest_author":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6/action/author_attestation","sign_citation":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6/action/citation_signature","submit_replication":"https://pith.science/pith/RJRUVHURUJF5XCFTHOY66IILD6/action/replication_record"}},"created_at":"2026-05-17T23:47:31.210339+00:00","updated_at":"2026-05-17T23:47:31.210339+00:00"}