{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:QDLWVGDM2BYD5VGSURJNT3OQZV","short_pith_number":"pith:QDLWVGDM","schema_version":"1.0","canonical_sha256":"80d76a986cd0703ed4d2a452d9edd0cd5e6f4fd7b39f511bea97caaad4328fd2","source":{"kind":"arxiv","id":"2105.05351","version":2},"attestation_state":"computed","paper":{"title":"Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Jos\\'e A. Carrillo, Rafael Bailo, Serafim Kalliadasis, Sergio P. Perez","submitted_at":"2021-05-11T21:56:08Z","abstract_excerpt":"We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free energy. Our numerical framework is applicable to a variety of free-energy potentials, including Ginzburg-Landau and Flory-Huggins, to general wetting boundary conditions, and to degenerate mobilities. Its central thrust is the upwind methodology, which we combine with a semi-implicit formulation for the free-energy terms based on the classical convex-splitting approach. The extension of the schemes to an arbitrary numbe"},"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":"2105.05351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-11T21:56:08Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"2d453177ac4a00243fde296e1f33146e72540062dacfd0236fe99000af8f1d28","abstract_canon_sha256":"0460d32271102592073d1c343e9bb1b0fab31c6f15d16c7e7c299ed1ff30af4e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:24:35.242725Z","signature_b64":"lbYcNoFVjlZZ75WGp6U/grJm7F/g+fDmaE4UieiYFUCg+Xf7acTCqWPyUVeQMxWFVYJanYRdT/Km5HTpZ2GfAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80d76a986cd0703ed4d2a452d9edd0cd5e6f4fd7b39f511bea97caaad4328fd2","last_reissued_at":"2026-07-05T07:24:35.242246Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:24:35.242246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Jos\\'e A. Carrillo, Rafael Bailo, Serafim Kalliadasis, Sergio P. Perez","submitted_at":"2021-05-11T21:56:08Z","abstract_excerpt":"We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free energy. Our numerical framework is applicable to a variety of free-energy potentials, including Ginzburg-Landau and Flory-Huggins, to general wetting boundary conditions, and to degenerate mobilities. Its central thrust is the upwind methodology, which we combine with a semi-implicit formulation for the free-energy terms based on the classical convex-splitting approach. The extension of the schemes to an arbitrary numbe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05351","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.05351/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2105.05351","created_at":"2026-07-05T07:24:35.242325+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.05351v2","created_at":"2026-07-05T07:24:35.242325+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05351","created_at":"2026-07-05T07:24:35.242325+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDLWVGDM2BYD","created_at":"2026-07-05T07:24:35.242325+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDLWVGDM2BYD5VGS","created_at":"2026-07-05T07:24:35.242325+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDLWVGDM","created_at":"2026-07-05T07:24:35.242325+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/QDLWVGDM2BYD5VGSURJNT3OQZV","json":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV.json","graph_json":"https://pith.science/api/pith-number/QDLWVGDM2BYD5VGSURJNT3OQZV/graph.json","events_json":"https://pith.science/api/pith-number/QDLWVGDM2BYD5VGSURJNT3OQZV/events.json","paper":"https://pith.science/paper/QDLWVGDM"},"agent_actions":{"view_html":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV","download_json":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV.json","view_paper":"https://pith.science/paper/QDLWVGDM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.05351&json=true","fetch_graph":"https://pith.science/api/pith-number/QDLWVGDM2BYD5VGSURJNT3OQZV/graph.json","fetch_events":"https://pith.science/api/pith-number/QDLWVGDM2BYD5VGSURJNT3OQZV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV/action/storage_attestation","attest_author":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV/action/author_attestation","sign_citation":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV/action/citation_signature","submit_replication":"https://pith.science/pith/QDLWVGDM2BYD5VGSURJNT3OQZV/action/replication_record"}},"created_at":"2026-07-05T07:24:35.242325+00:00","updated_at":"2026-07-05T07:24:35.242325+00:00"}