{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:UORAU2WWBKA4YD6627LYPZPGG7","short_pith_number":"pith:UORAU2WW","schema_version":"1.0","canonical_sha256":"a3a20a6ad60a81cc0fded7d787e5e637e9b3a4186303b5d2db45749546b21864","source":{"kind":"arxiv","id":"1810.01814","version":2},"attestation_state":"computed","paper":{"title":"On strong tangential transversality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mikhail Krastanov, Mira Bivas, Nadezhda Ribarska","submitted_at":"2018-10-03T16:07:18Z","abstract_excerpt":"This is the second of two closely related papers on transversality. Here we introduce the notion of strong tangential transversality of two closed subsets of a Banach space which is a natural sufficient condition for tangential transversality. Some properties of uniform tangent sets are obtained. A new sum rule for the Clarke subdifferential is proven."},"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":"1810.01814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-03T16:07:18Z","cross_cats_sorted":[],"title_canon_sha256":"05109e1f2bead4fdd7715219af707fd6952d591224a1e17cd37989c7cd17061f","abstract_canon_sha256":"abee4aba2860cde21f420d0b734f71e6845590f64bdd639d0e917a0fa1c904d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:55.186274Z","signature_b64":"FzXK8hn42mSAW7OTHufDhm/tuIC+BWqu/eIUMJ2QBnoTCx794w6rBFJbaSO0whVWNh3GmIUOsGJRLieIA5RjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3a20a6ad60a81cc0fded7d787e5e637e9b3a4186303b5d2db45749546b21864","last_reissued_at":"2026-05-18T00:03:55.185769Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:55.185769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On strong tangential transversality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Mikhail Krastanov, Mira Bivas, Nadezhda Ribarska","submitted_at":"2018-10-03T16:07:18Z","abstract_excerpt":"This is the second of two closely related papers on transversality. Here we introduce the notion of strong tangential transversality of two closed subsets of a Banach space which is a natural sufficient condition for tangential transversality. Some properties of uniform tangent sets are obtained. A new sum rule for the Clarke subdifferential is proven."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01814","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":"1810.01814","created_at":"2026-05-18T00:03:55.185871+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.01814v2","created_at":"2026-05-18T00:03:55.185871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01814","created_at":"2026-05-18T00:03:55.185871+00:00"},{"alias_kind":"pith_short_12","alias_value":"UORAU2WWBKA4","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_16","alias_value":"UORAU2WWBKA4YD66","created_at":"2026-05-18T12:32:56.356000+00:00"},{"alias_kind":"pith_short_8","alias_value":"UORAU2WW","created_at":"2026-05-18T12:32:56.356000+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/UORAU2WWBKA4YD6627LYPZPGG7","json":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7.json","graph_json":"https://pith.science/api/pith-number/UORAU2WWBKA4YD6627LYPZPGG7/graph.json","events_json":"https://pith.science/api/pith-number/UORAU2WWBKA4YD6627LYPZPGG7/events.json","paper":"https://pith.science/paper/UORAU2WW"},"agent_actions":{"view_html":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7","download_json":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7.json","view_paper":"https://pith.science/paper/UORAU2WW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.01814&json=true","fetch_graph":"https://pith.science/api/pith-number/UORAU2WWBKA4YD6627LYPZPGG7/graph.json","fetch_events":"https://pith.science/api/pith-number/UORAU2WWBKA4YD6627LYPZPGG7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7/action/storage_attestation","attest_author":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7/action/author_attestation","sign_citation":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7/action/citation_signature","submit_replication":"https://pith.science/pith/UORAU2WWBKA4YD6627LYPZPGG7/action/replication_record"}},"created_at":"2026-05-18T00:03:55.185871+00:00","updated_at":"2026-05-18T00:03:55.185871+00:00"}