{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:R45KGALFEAS77O6WPHTTKHJRRV","short_pith_number":"pith:R45KGALF","schema_version":"1.0","canonical_sha256":"8f3aa301652025ffbbd679e7351d318d69ab3ca6b22f45a4ba56883e0aa2dbee","source":{"kind":"arxiv","id":"2605.26623","version":1},"attestation_state":"computed","paper":{"title":"An Unconditionally Linearly Convergent ADMM Approach for the Allen-Cahn Equation with Flory-Huggins Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Peng Jiang, Shengtong Liang, Tiao Lu","submitted_at":"2026-05-26T07:01:44Z","abstract_excerpt":"The Allen-Cahn equation with Flory-Huggins potential is a fundamental and crucial model in phase field simulation for describing phase separation phenomena, which serves as a core tool in diverse branches of natural sciences. The numerical simulation of the Allen-Cahn equation is of great importance but poses significant challenges due to the strong nonlinearity and the presence of logarithmic singularities at $u=0,1$ in the Flory-Huggins potential. In this paper, we consider convex splitting schemes to %preserve this bound and guarantee unconditional unique solvability, which reduces the nume"},"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":"2605.26623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-26T07:01:44Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"0e128f11ffd5bf28ecdc4d5eb97ca7b6cd425789897b932e6e6dd61bae526b12","abstract_canon_sha256":"8bec88c5fd9154db99a3bc698d43f604680fbb1e73f0caf32a19afef349eba48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:06:02.592807Z","signature_b64":"0sdXAPA2iCUBspVhcyC8I9szJh/dFv+c7f7u55BVxvrj4ACAoAWT4/9muAu4bsQ/bjxpuDhVIRQSZEb/quDUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f3aa301652025ffbbd679e7351d318d69ab3ca6b22f45a4ba56883e0aa2dbee","last_reissued_at":"2026-05-27T01:06:02.591993Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:06:02.591993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Unconditionally Linearly Convergent ADMM Approach for the Allen-Cahn Equation with Flory-Huggins Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Peng Jiang, Shengtong Liang, Tiao Lu","submitted_at":"2026-05-26T07:01:44Z","abstract_excerpt":"The Allen-Cahn equation with Flory-Huggins potential is a fundamental and crucial model in phase field simulation for describing phase separation phenomena, which serves as a core tool in diverse branches of natural sciences. The numerical simulation of the Allen-Cahn equation is of great importance but poses significant challenges due to the strong nonlinearity and the presence of logarithmic singularities at $u=0,1$ in the Flory-Huggins potential. In this paper, we consider convex splitting schemes to %preserve this bound and guarantee unconditional unique solvability, which reduces the nume"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26623","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.26623/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":"2605.26623","created_at":"2026-05-27T01:06:02.592126+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.26623v1","created_at":"2026-05-27T01:06:02.592126+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26623","created_at":"2026-05-27T01:06:02.592126+00:00"},{"alias_kind":"pith_short_12","alias_value":"R45KGALFEAS7","created_at":"2026-05-27T01:06:02.592126+00:00"},{"alias_kind":"pith_short_16","alias_value":"R45KGALFEAS77O6W","created_at":"2026-05-27T01:06:02.592126+00:00"},{"alias_kind":"pith_short_8","alias_value":"R45KGALF","created_at":"2026-05-27T01:06:02.592126+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/R45KGALFEAS77O6WPHTTKHJRRV","json":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV.json","graph_json":"https://pith.science/api/pith-number/R45KGALFEAS77O6WPHTTKHJRRV/graph.json","events_json":"https://pith.science/api/pith-number/R45KGALFEAS77O6WPHTTKHJRRV/events.json","paper":"https://pith.science/paper/R45KGALF"},"agent_actions":{"view_html":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV","download_json":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV.json","view_paper":"https://pith.science/paper/R45KGALF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.26623&json=true","fetch_graph":"https://pith.science/api/pith-number/R45KGALFEAS77O6WPHTTKHJRRV/graph.json","fetch_events":"https://pith.science/api/pith-number/R45KGALFEAS77O6WPHTTKHJRRV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV/action/storage_attestation","attest_author":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV/action/author_attestation","sign_citation":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV/action/citation_signature","submit_replication":"https://pith.science/pith/R45KGALFEAS77O6WPHTTKHJRRV/action/replication_record"}},"created_at":"2026-05-27T01:06:02.592126+00:00","updated_at":"2026-05-27T01:06:02.592126+00:00"}