{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LUQC32XHZWOIHFOGZDNJ4HPMN7","short_pith_number":"pith:LUQC32XH","schema_version":"1.0","canonical_sha256":"5d202deae7cd9c8395c6c8da9e1dec6ffb89c93b9816b29aa28366a7b5a21488","source":{"kind":"arxiv","id":"1211.6863","version":2},"attestation_state":"computed","paper":{"title":"Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.PR"],"primary_cat":"math.DG","authors_text":"Batu G\\\"uneysu, Diego Pallara","submitted_at":"2012-11-29T10:08:30Z","abstract_excerpt":"After establishing some new global facts (like a measure theoretic structure theorem and approximation results) about complex-valued functions with bounded variation on arbitrary noncompact Riemannian manifolds, we extend results of Miranda/the second author/Paronetto/Preunkert and of Carbonaro/Mauceri on the heat semigroup characterization of the variation of L^1-functions to a class of Riemannian manifolds with possibly unbounded from below Ricci curvature."},"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":"1211.6863","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-11-29T10:08:30Z","cross_cats_sorted":["math.MG","math.PR"],"title_canon_sha256":"2a270e2d27ad9e2096abb11b5e7a0cfab2412791ceeb99fd7da83879dcfa01c5","abstract_canon_sha256":"8cc43da142255a7c6fb04bc5399082c9e3f253bea30d87dd137d02e38a7e3c13"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:38.023207Z","signature_b64":"aRcz2VAMs4xzx5KaaKVsusgh/jT97lNwrrxA25Nm/0a5TlAONPzIrYod60KVQ98JPgvX+gRCdWACiRObBNEvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d202deae7cd9c8395c6c8da9e1dec6ffb89c93b9816b29aa28366a7b5a21488","last_reissued_at":"2026-05-18T03:35:38.022265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:38.022265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.PR"],"primary_cat":"math.DG","authors_text":"Batu G\\\"uneysu, Diego Pallara","submitted_at":"2012-11-29T10:08:30Z","abstract_excerpt":"After establishing some new global facts (like a measure theoretic structure theorem and approximation results) about complex-valued functions with bounded variation on arbitrary noncompact Riemannian manifolds, we extend results of Miranda/the second author/Paronetto/Preunkert and of Carbonaro/Mauceri on the heat semigroup characterization of the variation of L^1-functions to a class of Riemannian manifolds with possibly unbounded from below Ricci curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6863","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":""},"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":"1211.6863","created_at":"2026-05-18T03:35:38.022435+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6863v2","created_at":"2026-05-18T03:35:38.022435+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6863","created_at":"2026-05-18T03:35:38.022435+00:00"},{"alias_kind":"pith_short_12","alias_value":"LUQC32XHZWOI","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LUQC32XHZWOIHFOG","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LUQC32XH","created_at":"2026-05-18T12:27:14.488303+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/LUQC32XHZWOIHFOGZDNJ4HPMN7","json":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7.json","graph_json":"https://pith.science/api/pith-number/LUQC32XHZWOIHFOGZDNJ4HPMN7/graph.json","events_json":"https://pith.science/api/pith-number/LUQC32XHZWOIHFOGZDNJ4HPMN7/events.json","paper":"https://pith.science/paper/LUQC32XH"},"agent_actions":{"view_html":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7","download_json":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7.json","view_paper":"https://pith.science/paper/LUQC32XH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6863&json=true","fetch_graph":"https://pith.science/api/pith-number/LUQC32XHZWOIHFOGZDNJ4HPMN7/graph.json","fetch_events":"https://pith.science/api/pith-number/LUQC32XHZWOIHFOGZDNJ4HPMN7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7/action/storage_attestation","attest_author":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7/action/author_attestation","sign_citation":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7/action/citation_signature","submit_replication":"https://pith.science/pith/LUQC32XHZWOIHFOGZDNJ4HPMN7/action/replication_record"}},"created_at":"2026-05-18T03:35:38.022435+00:00","updated_at":"2026-05-18T03:35:38.022435+00:00"}