{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PA7ZJJ7IOTSVQ3CMAHUI6EUXBK","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":"2f9dd47c16015b3b7afc5965f7c9d58ee507c72f9f156b79bb6eed6a16734e37","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-11-27T10:21:09Z","title_canon_sha256":"da885ac6b7a99d638a9c36ec73316a6e798c9fb1ed49190b62964113f06621d1"},"schema_version":"1.0","source":{"id":"1812.01508","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01508","created_at":"2026-05-17T23:41:30Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01508v2","created_at":"2026-05-17T23:41:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01508","created_at":"2026-05-17T23:41:30Z"},{"alias_kind":"pith_short_12","alias_value":"PA7ZJJ7IOTSV","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PA7ZJJ7IOTSVQ3CM","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PA7ZJJ7I","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:14f1c2da5ccb16e6113eba20e07bd281dba632ca76e1476fbd6cea07165e9581","target":"graph","created_at":"2026-05-17T23:41:30Z","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":"In this paper, we extend and complete the classification of the generic singularities of the 3D-contact sub-Riemmanian conjugate locus in a neighbourhood of the origin.","authors_text":"Beno\\^it Bonnet, Francesco Rossi, Jean-Paul Gauthier","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-11-27T10:21:09Z","title":"Generic Singularities of the 3D-Contact sub-Riemannian Conjugate Locus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01508","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:f23a1d594cf801198242c753ceda825a9f7c487b6e0e9952d8abe44958e12b62","target":"record","created_at":"2026-05-17T23:41:30Z","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":"2f9dd47c16015b3b7afc5965f7c9d58ee507c72f9f156b79bb6eed6a16734e37","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-11-27T10:21:09Z","title_canon_sha256":"da885ac6b7a99d638a9c36ec73316a6e798c9fb1ed49190b62964113f06621d1"},"schema_version":"1.0","source":{"id":"1812.01508","kind":"arxiv","version":2}},"canonical_sha256":"783f94a7e874e5586c4c01e88f12970aa067bdf9bf645392610c83be19decb17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"783f94a7e874e5586c4c01e88f12970aa067bdf9bf645392610c83be19decb17","first_computed_at":"2026-05-17T23:41:30.825751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:30.825751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4zOx4bCYxTMPnkUSPVKA13uXqWAbI2hOi58iF1oqz2AtUtAYmNUorv2nxe9RtEOK+jic4ZUNumzuY2EwqP5dDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:30.826624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01508","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f23a1d594cf801198242c753ceda825a9f7c487b6e0e9952d8abe44958e12b62","sha256:14f1c2da5ccb16e6113eba20e07bd281dba632ca76e1476fbd6cea07165e9581"],"state_sha256":"90cbd734c44a4b546338d28daf78c5aa05c29515327cebe8a3ddf3ec2c78b05d"}