{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BTSYM6PKM4JBTYB2Q7RQWXJOXS","short_pith_number":"pith:BTSYM6PK","canonical_record":{"source":{"id":"1705.00038","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-28T18:59:22Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"43f0b9fd679611bddcae544c1302751b345c88f5754cd8ff729a4935d5d6809c","abstract_canon_sha256":"12ee3a3dec1f7b167f1284623026397c6144f510d6d8debca8b8d36982b9aa68"},"schema_version":"1.0"},"canonical_sha256":"0ce58679ea671219e03a87e30b5d2ebcb9fe312f5ae0ebf57c0ae10ea4170219","source":{"kind":"arxiv","id":"1705.00038","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00038","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00038v2","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00038","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"BTSYM6PKM4JB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BTSYM6PKM4JBTYB2","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BTSYM6PK","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BTSYM6PKM4JBTYB2Q7RQWXJOXS","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00038","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-28T18:59:22Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"43f0b9fd679611bddcae544c1302751b345c88f5754cd8ff729a4935d5d6809c","abstract_canon_sha256":"12ee3a3dec1f7b167f1284623026397c6144f510d6d8debca8b8d36982b9aa68"},"schema_version":"1.0"},"canonical_sha256":"0ce58679ea671219e03a87e30b5d2ebcb9fe312f5ae0ebf57c0ae10ea4170219","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:47.499869Z","signature_b64":"qFAQXH5JaI2v8X81maRZjXBKEqgnnPl20GdCjUjQ6aZgIL+dATSbSO/TPU63zO/aAPy9pPGi8SLQpVsV6eaoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ce58679ea671219e03a87e30b5d2ebcb9fe312f5ae0ebf57c0ae10ea4170219","last_reissued_at":"2026-05-18T00:37:47.499023Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:47.499023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00038","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8P1hKd927bWyvF1e5juikoDx4pu2vCHVQ9S/Jpr1lh7hjsHTo5E32fxD1YdDZDNZcuLgYNoqbFqvbQLjW115CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:57:41.847240Z"},"content_sha256":"7fc578a5f6c2b128fcdde98c4f1ba56cc7466caaaafbe27eb55e231e5715e7c7","schema_version":"1.0","event_id":"sha256:7fc578a5f6c2b128fcdde98c4f1ba56cc7466caaaafbe27eb55e231e5715e7c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BTSYM6PKM4JBTYB2Q7RQWXJOXS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. Appendix by Anne Pichon and Walter D. Neumann","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Alexandre Fernandes, J. Edson Sampaio","submitted_at":"2017-04-28T18:59:22Z","abstract_excerpt":"We prove that tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. We also extend to real subanalytic sets the notion of reduced tangent cone and we show that subanalytic Lipschitz normally embedded sets have reduced tangent cones. In particular, we get that Lipschitz normally embedded complex analytic sets have reduced tangent cones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00038","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7se/CWzwaIkttfYIiIjlMT+3D5Mf+djiJa3QV2xPEiBvOg2IUvi+j9GzKK/n+4UlVcrm9wV/F8C7Ctrooo0ACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:57:41.847604Z"},"content_sha256":"8fd285a65cd51451a1375da96a2c2570dddd5a224d4154e3217745e673d4514c","schema_version":"1.0","event_id":"sha256:8fd285a65cd51451a1375da96a2c2570dddd5a224d4154e3217745e673d4514c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS/bundle.json","state_url":"https://pith.science/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T13:57:41Z","links":{"resolver":"https://pith.science/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS","bundle":"https://pith.science/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS/bundle.json","state":"https://pith.science/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTSYM6PKM4JBTYB2Q7RQWXJOXS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BTSYM6PKM4JBTYB2Q7RQWXJOXS","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":"12ee3a3dec1f7b167f1284623026397c6144f510d6d8debca8b8d36982b9aa68","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-28T18:59:22Z","title_canon_sha256":"43f0b9fd679611bddcae544c1302751b345c88f5754cd8ff729a4935d5d6809c"},"schema_version":"1.0","source":{"id":"1705.00038","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00038","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00038v2","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00038","created_at":"2026-05-18T00:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"BTSYM6PKM4JB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BTSYM6PKM4JBTYB2","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BTSYM6PK","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:8fd285a65cd51451a1375da96a2c2570dddd5a224d4154e3217745e673d4514c","target":"graph","created_at":"2026-05-18T00:37:47Z","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 that tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. We also extend to real subanalytic sets the notion of reduced tangent cone and we show that subanalytic Lipschitz normally embedded sets have reduced tangent cones. In particular, we get that Lipschitz normally embedded complex analytic sets have reduced tangent cones.","authors_text":"Alexandre Fernandes, J. Edson Sampaio","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-28T18:59:22Z","title":"Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. Appendix by Anne Pichon and Walter D. Neumann"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00038","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":"sha256:7fc578a5f6c2b128fcdde98c4f1ba56cc7466caaaafbe27eb55e231e5715e7c7","target":"record","created_at":"2026-05-18T00:37:47Z","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":"12ee3a3dec1f7b167f1284623026397c6144f510d6d8debca8b8d36982b9aa68","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-28T18:59:22Z","title_canon_sha256":"43f0b9fd679611bddcae544c1302751b345c88f5754cd8ff729a4935d5d6809c"},"schema_version":"1.0","source":{"id":"1705.00038","kind":"arxiv","version":2}},"canonical_sha256":"0ce58679ea671219e03a87e30b5d2ebcb9fe312f5ae0ebf57c0ae10ea4170219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ce58679ea671219e03a87e30b5d2ebcb9fe312f5ae0ebf57c0ae10ea4170219","first_computed_at":"2026-05-18T00:37:47.499023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:47.499023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qFAQXH5JaI2v8X81maRZjXBKEqgnnPl20GdCjUjQ6aZgIL+dATSbSO/TPU63zO/aAPy9pPGi8SLQpVsV6eaoAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:47.499869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00038","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fc578a5f6c2b128fcdde98c4f1ba56cc7466caaaafbe27eb55e231e5715e7c7","sha256:8fd285a65cd51451a1375da96a2c2570dddd5a224d4154e3217745e673d4514c"],"state_sha256":"6b222b6eb18905c352a7f478f12f136613d97c8ab0c7abf36ca52d6388fa51e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2OS8EmgNfjwUmzedl8ApfUmxM8eLM56qcic3F2tX9CKkJRCwND/C4xfuB2kYZ0NgWiZQz3OHPn9Xaqy3trTGDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:57:41.849544Z","bundle_sha256":"1e29bd90c82d2f41b437ac783ebe1c71b354e51889e336e05fdd72aba49960aa"}}