{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ISHMB4FSZUSIOURVFZO4IUCO73","short_pith_number":"pith:ISHMB4FS","schema_version":"1.0","canonical_sha256":"448ec0f0b2cd248752352e5dc4504efee519a3b9c7fc63e488ba16639b3b4a79","source":{"kind":"arxiv","id":"1703.08903","version":1},"attestation_state":"computed","paper":{"title":"On pairs of geometric foliations on a cuspidal edge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Kentaro Saji","submitted_at":"2017-03-27T02:27:56Z","abstract_excerpt":"We study the topological configurations of the lines of principal curvature, the asymptotic and characteristic curves on a cuspidal edge, in the domain of a parametrization of this surface as well as on the surface itself. Such configurations are determined by the 3-jets of a parametrization of the surface."},"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":"1703.08903","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-27T02:27:56Z","cross_cats_sorted":[],"title_canon_sha256":"b897bc98b21bc8f0f9f2ae4a0aa4f5424d331691497b163d36ac5f05ff20d463","abstract_canon_sha256":"e93c94d7b91e23bf11ee79a09e92db5433bf335e982fa369cb0f87d3cc53731c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:55.206844Z","signature_b64":"0/spF0FXWwtmN7zGTQxqgD/bSG/LVMrOHtAFT2MB2z8L/1ZgZOIiQwBAlBhn6L5x4o6qc3cixb+STzHWuVBaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"448ec0f0b2cd248752352e5dc4504efee519a3b9c7fc63e488ba16639b3b4a79","last_reissued_at":"2026-05-18T00:47:55.205879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:55.205879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On pairs of geometric foliations on a cuspidal edge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Kentaro Saji","submitted_at":"2017-03-27T02:27:56Z","abstract_excerpt":"We study the topological configurations of the lines of principal curvature, the asymptotic and characteristic curves on a cuspidal edge, in the domain of a parametrization of this surface as well as on the surface itself. Such configurations are determined by the 3-jets of a parametrization of the surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08903","kind":"arxiv","version":1},"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":"1703.08903","created_at":"2026-05-18T00:47:55.206033+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08903v1","created_at":"2026-05-18T00:47:55.206033+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08903","created_at":"2026-05-18T00:47:55.206033+00:00"},{"alias_kind":"pith_short_12","alias_value":"ISHMB4FSZUSI","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"ISHMB4FSZUSIOURV","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"ISHMB4FS","created_at":"2026-05-18T12:31:21.493067+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/ISHMB4FSZUSIOURVFZO4IUCO73","json":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73.json","graph_json":"https://pith.science/api/pith-number/ISHMB4FSZUSIOURVFZO4IUCO73/graph.json","events_json":"https://pith.science/api/pith-number/ISHMB4FSZUSIOURVFZO4IUCO73/events.json","paper":"https://pith.science/paper/ISHMB4FS"},"agent_actions":{"view_html":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73","download_json":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73.json","view_paper":"https://pith.science/paper/ISHMB4FS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08903&json=true","fetch_graph":"https://pith.science/api/pith-number/ISHMB4FSZUSIOURVFZO4IUCO73/graph.json","fetch_events":"https://pith.science/api/pith-number/ISHMB4FSZUSIOURVFZO4IUCO73/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73/action/storage_attestation","attest_author":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73/action/author_attestation","sign_citation":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73/action/citation_signature","submit_replication":"https://pith.science/pith/ISHMB4FSZUSIOURVFZO4IUCO73/action/replication_record"}},"created_at":"2026-05-18T00:47:55.206033+00:00","updated_at":"2026-05-18T00:47:55.206033+00:00"}