{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KEKS2BKC7XVQHMWHKZWWKJYSA4","short_pith_number":"pith:KEKS2BKC","schema_version":"1.0","canonical_sha256":"51152d0542fdeb03b2c7566d6527120702c46612ccdd52c1b6953b0c85429306","source":{"kind":"arxiv","id":"1908.10655","version":1},"attestation_state":"computed","paper":{"title":"The Lipschitz truncation of functions of bounded variation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dominic Breit, Franz Gmeineder, Lars Diening","submitted_at":"2019-08-28T11:44:59Z","abstract_excerpt":"We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original function."},"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":"1908.10655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-08-28T11:44:59Z","cross_cats_sorted":[],"title_canon_sha256":"4a5b3e845229cf25d98f28ad34608f779f1178ebbe5d63435ab648f42775ad0d","abstract_canon_sha256":"98a82a63059441eb351a768998d457799aef5c3568b932f45b6bd06bb0c8f1ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:00:19.667784Z","signature_b64":"0Yj6lC//Yld8d13i1OrOU1/15w8a0lOnATCH0EOInloddT6OWoXoX+Xe9FXxUzr3xHcCZMusiUGVWvw8ND0aDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51152d0542fdeb03b2c7566d6527120702c46612ccdd52c1b6953b0c85429306","last_reissued_at":"2026-07-05T00:00:19.667451Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:00:19.667451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Lipschitz truncation of functions of bounded variation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dominic Breit, Franz Gmeineder, Lars Diening","submitted_at":"2019-08-28T11:44:59Z","abstract_excerpt":"We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.10655","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/1908.10655/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":"1908.10655","created_at":"2026-07-05T00:00:19.667503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.10655v1","created_at":"2026-07-05T00:00:19.667503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.10655","created_at":"2026-07-05T00:00:19.667503+00:00"},{"alias_kind":"pith_short_12","alias_value":"KEKS2BKC7XVQ","created_at":"2026-07-05T00:00:19.667503+00:00"},{"alias_kind":"pith_short_16","alias_value":"KEKS2BKC7XVQHMWH","created_at":"2026-07-05T00:00:19.667503+00:00"},{"alias_kind":"pith_short_8","alias_value":"KEKS2BKC","created_at":"2026-07-05T00:00:19.667503+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/KEKS2BKC7XVQHMWHKZWWKJYSA4","json":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4.json","graph_json":"https://pith.science/api/pith-number/KEKS2BKC7XVQHMWHKZWWKJYSA4/graph.json","events_json":"https://pith.science/api/pith-number/KEKS2BKC7XVQHMWHKZWWKJYSA4/events.json","paper":"https://pith.science/paper/KEKS2BKC"},"agent_actions":{"view_html":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4","download_json":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4.json","view_paper":"https://pith.science/paper/KEKS2BKC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.10655&json=true","fetch_graph":"https://pith.science/api/pith-number/KEKS2BKC7XVQHMWHKZWWKJYSA4/graph.json","fetch_events":"https://pith.science/api/pith-number/KEKS2BKC7XVQHMWHKZWWKJYSA4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4/action/storage_attestation","attest_author":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4/action/author_attestation","sign_citation":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4/action/citation_signature","submit_replication":"https://pith.science/pith/KEKS2BKC7XVQHMWHKZWWKJYSA4/action/replication_record"}},"created_at":"2026-07-05T00:00:19.667503+00:00","updated_at":"2026-07-05T00:00:19.667503+00:00"}