{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6SGZAFTLCOVVY7ZHBKFSLEID6U","short_pith_number":"pith:6SGZAFTL","schema_version":"1.0","canonical_sha256":"f48d90166b13ab5c7f270a8b259103f52216c5caccc46351544bc3de73a770fb","source":{"kind":"arxiv","id":"1711.04307","version":1},"attestation_state":"computed","paper":{"title":"Functional inequalities on manifolds with non-convex boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anton Thalmaier, James Thompson, Li-Juan Cheng","submitted_at":"2017-11-12T15:10:17Z","abstract_excerpt":"In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary."},"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":"1711.04307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-11-12T15:10:17Z","cross_cats_sorted":[],"title_canon_sha256":"8611aa8936b3cff93ec12c4cdff91adb66f56a60dee5f9b191cc0c7721405a17","abstract_canon_sha256":"e8b5b0072774c06d44610d563928df9d3fa150542a68feb8a469a47fb7ab3951"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:39.450581Z","signature_b64":"NPNl4EvoQXTBpU/i8EFfXquOB4YyCgL5x+ZvUAC0KOJzOo+vCE8jUkE4hz4wHmPPBTp1ZUoB5ic9T2GTwQDMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f48d90166b13ab5c7f270a8b259103f52216c5caccc46351544bc3de73a770fb","last_reissued_at":"2026-05-18T00:30:39.449847Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:39.449847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional inequalities on manifolds with non-convex boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anton Thalmaier, James Thompson, Li-Juan Cheng","submitted_at":"2017-11-12T15:10:17Z","abstract_excerpt":"In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04307","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":"1711.04307","created_at":"2026-05-18T00:30:39.449967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.04307v1","created_at":"2026-05-18T00:30:39.449967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04307","created_at":"2026-05-18T00:30:39.449967+00:00"},{"alias_kind":"pith_short_12","alias_value":"6SGZAFTLCOVV","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6SGZAFTLCOVVY7ZH","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6SGZAFTL","created_at":"2026-05-18T12:31:03.183658+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/6SGZAFTLCOVVY7ZHBKFSLEID6U","json":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U.json","graph_json":"https://pith.science/api/pith-number/6SGZAFTLCOVVY7ZHBKFSLEID6U/graph.json","events_json":"https://pith.science/api/pith-number/6SGZAFTLCOVVY7ZHBKFSLEID6U/events.json","paper":"https://pith.science/paper/6SGZAFTL"},"agent_actions":{"view_html":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U","download_json":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U.json","view_paper":"https://pith.science/paper/6SGZAFTL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.04307&json=true","fetch_graph":"https://pith.science/api/pith-number/6SGZAFTLCOVVY7ZHBKFSLEID6U/graph.json","fetch_events":"https://pith.science/api/pith-number/6SGZAFTLCOVVY7ZHBKFSLEID6U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U/action/storage_attestation","attest_author":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U/action/author_attestation","sign_citation":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U/action/citation_signature","submit_replication":"https://pith.science/pith/6SGZAFTLCOVVY7ZHBKFSLEID6U/action/replication_record"}},"created_at":"2026-05-18T00:30:39.449967+00:00","updated_at":"2026-05-18T00:30:39.449967+00:00"}