{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FCRF2LCYME32BATS5IA5PYPWFM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"544552f733322545d6d3fd4d13b6c23a0115314799b8d24d7734003a5ef1fc6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-05T14:35:31Z","title_canon_sha256":"f43cba64a0318e58f3c2e23c6a1d494511f1e74da9005aa792ca55d9d9963233"},"schema_version":"1.0","source":{"id":"1707.01422","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01422","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01422v2","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01422","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"FCRF2LCYME32","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FCRF2LCYME32BATS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FCRF2LCY","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:7858a8b040c757bb54a200b70558a4d4137f26033722b9f3cf62a4fea9bc2092","target":"graph","created_at":"2026-05-18T00:40:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Michele Pignotti, Stefano Pagliarani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-05T14:35:31Z","title":"Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01422","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3ee57f1eb6b269540964ce45cc966d36f354661ab5f309b33e412d43d428f2c3","target":"record","created_at":"2026-05-18T00:40:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"544552f733322545d6d3fd4d13b6c23a0115314799b8d24d7734003a5ef1fc6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-05T14:35:31Z","title_canon_sha256":"f43cba64a0318e58f3c2e23c6a1d494511f1e74da9005aa792ca55d9d9963233"},"schema_version":"1.0","source":{"id":"1707.01422","kind":"arxiv","version":2}},"canonical_sha256":"28a25d2c586137a08272ea01d7e1f62b10d2b1827db177f2f658fe47addfc388","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28a25d2c586137a08272ea01d7e1f62b10d2b1827db177f2f658fe47addfc388","first_computed_at":"2026-05-18T00:40:48.327559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:48.327559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i7K0V2rEogeJTolDHK5R8XpHj62oBVGBDsdK1fG10g06saKEEE+L2zlX/XSwY4SQ+vzjZEGyuizs9RciFjdjAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:48.328221Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.01422","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ee57f1eb6b269540964ce45cc966d36f354661ab5f309b33e412d43d428f2c3","sha256:7858a8b040c757bb54a200b70558a4d4137f26033722b9f3cf62a4fea9bc2092"],"state_sha256":"1d2dc72c5af1aa29ba849ea7c89fe01449867f3f07e7224841ca63875f020284"}