{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6PH7GFKGXISGXTU2E3IIA7VUCM","short_pith_number":"pith:6PH7GFKG","schema_version":"1.0","canonical_sha256":"f3cff31546ba246bce9a26d0807eb4131379a272ee2df1ac6fc1d3c8f969e1e6","source":{"kind":"arxiv","id":"1804.06103","version":2},"attestation_state":"computed","paper":{"title":"On the Inner Automorphisms of a Singular Foliation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alfonso Garmendia, Ori Yudilevich","submitted_at":"2018-04-17T08:22:59Z","abstract_excerpt":"A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold. An automorphism of a singular foliation is a diffeomorphism that preserves the module. In this note, we give an alternative proof of the (surprisingly non-trivial) fundamental fact that the time-one flow of an element of a singular foliation (i.e. its exponential) is an automorphism of the singular foliation."},"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":"1804.06103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-04-17T08:22:59Z","cross_cats_sorted":[],"title_canon_sha256":"ed6bb8a6400cc5dcb21a0cf45eb8cfc43f31393895978d7bbb6fb23f22f758c6","abstract_canon_sha256":"2d97578526f27b0f92b6f15061a32debf80d2b9cab5391f103d5fdda47689aeb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:43.531887Z","signature_b64":"IE0RCCTScARTKZZpvULIC8OBJRLzfBaki+MisNcapxjlo2Hv6b/HnhnRnX5INxXemPH1nvi6O+LGjbr/px7BDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3cff31546ba246bce9a26d0807eb4131379a272ee2df1ac6fc1d3c8f969e1e6","last_reissued_at":"2026-05-18T00:01:43.531422Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:43.531422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Inner Automorphisms of a Singular Foliation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alfonso Garmendia, Ori Yudilevich","submitted_at":"2018-04-17T08:22:59Z","abstract_excerpt":"A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold. An automorphism of a singular foliation is a diffeomorphism that preserves the module. In this note, we give an alternative proof of the (surprisingly non-trivial) fundamental fact that the time-one flow of an element of a singular foliation (i.e. its exponential) is an automorphism of the singular foliation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06103","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":"1804.06103","created_at":"2026-05-18T00:01:43.531508+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.06103v2","created_at":"2026-05-18T00:01:43.531508+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06103","created_at":"2026-05-18T00:01:43.531508+00:00"},{"alias_kind":"pith_short_12","alias_value":"6PH7GFKGXISG","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"6PH7GFKGXISGXTU2","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"6PH7GFKG","created_at":"2026-05-18T12:32:11.075285+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/6PH7GFKGXISGXTU2E3IIA7VUCM","json":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM.json","graph_json":"https://pith.science/api/pith-number/6PH7GFKGXISGXTU2E3IIA7VUCM/graph.json","events_json":"https://pith.science/api/pith-number/6PH7GFKGXISGXTU2E3IIA7VUCM/events.json","paper":"https://pith.science/paper/6PH7GFKG"},"agent_actions":{"view_html":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM","download_json":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM.json","view_paper":"https://pith.science/paper/6PH7GFKG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.06103&json=true","fetch_graph":"https://pith.science/api/pith-number/6PH7GFKGXISGXTU2E3IIA7VUCM/graph.json","fetch_events":"https://pith.science/api/pith-number/6PH7GFKGXISGXTU2E3IIA7VUCM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM/action/storage_attestation","attest_author":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM/action/author_attestation","sign_citation":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM/action/citation_signature","submit_replication":"https://pith.science/pith/6PH7GFKGXISGXTU2E3IIA7VUCM/action/replication_record"}},"created_at":"2026-05-18T00:01:43.531508+00:00","updated_at":"2026-05-18T00:01:43.531508+00:00"}