{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UBMCM4HWUANGSYW5MOGNTXANDS","short_pith_number":"pith:UBMCM4HW","schema_version":"1.0","canonical_sha256":"a0582670f6a01a6962dd638cd9dc0d1cb547ee45460cadd812489fb4d66216a1","source":{"kind":"arxiv","id":"1711.04715","version":1},"attestation_state":"computed","paper":{"title":"An MBO scheme for minimizing the graph Ohta-Kawasaki functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yves van Gennip","submitted_at":"2017-11-13T17:27:14Z","abstract_excerpt":"We study a graph based version of the Ohta-Kawasaki functional, which was originally introduced in a continuum setting to model pattern formation in diblock copolymer melts and has been studied extensively as a paradigmatic example of a variational model for pattern formation.\n  Graph based problems inspired by partial differential equations (PDEs) and varational methods have been the subject of many recent papers in the mathematical literature, because of their applications in areas such as image processing and data classification. This paper extends the area of PDE inspired graph based probl"},"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":"1711.04715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-13T17:27:14Z","cross_cats_sorted":[],"title_canon_sha256":"4ad66d05c03ea44aea8039bb3e7e4489d6a71aab81463d91b45284ef7bfce735","abstract_canon_sha256":"ae27cf23bcbe8bf669ab914861fae4f24d9d7cb1b345216f4a02190509312073"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:01.422565Z","signature_b64":"ilL+arSxek4Sv7Nns7KzzSltpNHB5AGpMWTTggk3HjOEpdYVHeXfzmeCmPuagOskDG30L+WIVA+3uQR0Sy6qBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0582670f6a01a6962dd638cd9dc0d1cb547ee45460cadd812489fb4d66216a1","last_reissued_at":"2026-05-17T23:41:01.421937Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:01.421937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An MBO scheme for minimizing the graph Ohta-Kawasaki functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yves van Gennip","submitted_at":"2017-11-13T17:27:14Z","abstract_excerpt":"We study a graph based version of the Ohta-Kawasaki functional, which was originally introduced in a continuum setting to model pattern formation in diblock copolymer melts and has been studied extensively as a paradigmatic example of a variational model for pattern formation.\n  Graph based problems inspired by partial differential equations (PDEs) and varational methods have been the subject of many recent papers in the mathematical literature, because of their applications in areas such as image processing and data classification. This paper extends the area of PDE inspired graph based probl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04715","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":"1711.04715","created_at":"2026-05-17T23:41:01.422023+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.04715v1","created_at":"2026-05-17T23:41:01.422023+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04715","created_at":"2026-05-17T23:41:01.422023+00:00"},{"alias_kind":"pith_short_12","alias_value":"UBMCM4HWUANG","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"UBMCM4HWUANGSYW5","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"UBMCM4HW","created_at":"2026-05-18T12:31:46.661854+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/UBMCM4HWUANGSYW5MOGNTXANDS","json":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS.json","graph_json":"https://pith.science/api/pith-number/UBMCM4HWUANGSYW5MOGNTXANDS/graph.json","events_json":"https://pith.science/api/pith-number/UBMCM4HWUANGSYW5MOGNTXANDS/events.json","paper":"https://pith.science/paper/UBMCM4HW"},"agent_actions":{"view_html":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS","download_json":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS.json","view_paper":"https://pith.science/paper/UBMCM4HW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.04715&json=true","fetch_graph":"https://pith.science/api/pith-number/UBMCM4HWUANGSYW5MOGNTXANDS/graph.json","fetch_events":"https://pith.science/api/pith-number/UBMCM4HWUANGSYW5MOGNTXANDS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS/action/storage_attestation","attest_author":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS/action/author_attestation","sign_citation":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS/action/citation_signature","submit_replication":"https://pith.science/pith/UBMCM4HWUANGSYW5MOGNTXANDS/action/replication_record"}},"created_at":"2026-05-17T23:41:01.422023+00:00","updated_at":"2026-05-17T23:41:01.422023+00:00"}