{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FCRF2LCYME32BATS5IA5PYPWFM","short_pith_number":"pith:FCRF2LCY","schema_version":"1.0","canonical_sha256":"28a25d2c586137a08272ea01d7e1f62b10d2b1827db177f2f658fe47addfc388","source":{"kind":"arxiv","id":"1707.01422","version":2},"attestation_state":"computed","paper":{"title":"Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Michele Pignotti, Stefano Pagliarani","submitted_at":"2017-07-05T14:35:31Z","abstract_excerpt":"We prove an intrinsic Taylor-like formula for a class of Lie groups arising in the study of some sub-elliptic differential operators, namely the Kolmogorov operators. The estimate of the remainder is in terms of the intrinsic norm induced by such operators. These results extend the recent developments in a work by Pascucci and the present authors, where a full characterization of the intrinsic H\\\"older spaces and their Taylor polynomials were given under the additional assumption that the Lie group is homogeneous in the sense of Folland & Stein. Remarkably, the intrinsic Taylor polynomial admi"},"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":"1707.01422","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-05T14:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"f43cba64a0318e58f3c2e23c6a1d494511f1e74da9005aa792ca55d9d9963233","abstract_canon_sha256":"544552f733322545d6d3fd4d13b6c23a0115314799b8d24d7734003a5ef1fc6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:48.328221Z","signature_b64":"i7K0V2rEogeJTolDHK5R8XpHj62oBVGBDsdK1fG10g06saKEEE+L2zlX/XSwY4SQ+vzjZEGyuizs9RciFjdjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28a25d2c586137a08272ea01d7e1f62b10d2b1827db177f2f658fe47addfc388","last_reissued_at":"2026-05-18T00:40:48.327559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:48.327559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Michele Pignotti, Stefano Pagliarani","submitted_at":"2017-07-05T14:35:31Z","abstract_excerpt":"We prove an intrinsic Taylor-like formula for a class of Lie groups arising in the study of some sub-elliptic differential operators, namely the Kolmogorov operators. The estimate of the remainder is in terms of the intrinsic norm induced by such operators. These results extend the recent developments in a work by Pascucci and the present authors, where a full characterization of the intrinsic H\\\"older spaces and their Taylor polynomials were given under the additional assumption that the Lie group is homogeneous in the sense of Folland & Stein. Remarkably, the intrinsic Taylor polynomial admi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01422","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":"1707.01422","created_at":"2026-05-18T00:40:48.327653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.01422v2","created_at":"2026-05-18T00:40:48.327653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01422","created_at":"2026-05-18T00:40:48.327653+00:00"},{"alias_kind":"pith_short_12","alias_value":"FCRF2LCYME32","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FCRF2LCYME32BATS","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FCRF2LCY","created_at":"2026-05-18T12:31:15.632608+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/FCRF2LCYME32BATS5IA5PYPWFM","json":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM.json","graph_json":"https://pith.science/api/pith-number/FCRF2LCYME32BATS5IA5PYPWFM/graph.json","events_json":"https://pith.science/api/pith-number/FCRF2LCYME32BATS5IA5PYPWFM/events.json","paper":"https://pith.science/paper/FCRF2LCY"},"agent_actions":{"view_html":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM","download_json":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM.json","view_paper":"https://pith.science/paper/FCRF2LCY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.01422&json=true","fetch_graph":"https://pith.science/api/pith-number/FCRF2LCYME32BATS5IA5PYPWFM/graph.json","fetch_events":"https://pith.science/api/pith-number/FCRF2LCYME32BATS5IA5PYPWFM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM/action/storage_attestation","attest_author":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM/action/author_attestation","sign_citation":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM/action/citation_signature","submit_replication":"https://pith.science/pith/FCRF2LCYME32BATS5IA5PYPWFM/action/replication_record"}},"created_at":"2026-05-18T00:40:48.327653+00:00","updated_at":"2026-05-18T00:40:48.327653+00:00"}