{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5G4TLUTG2JEHHI3ZUZ4QT2Q7EA","short_pith_number":"pith:5G4TLUTG","schema_version":"1.0","canonical_sha256":"e9b935d266d24873a379a67909ea1f200e9a03377a370fcb3fc8a1312b662d0b","source":{"kind":"arxiv","id":"1703.04257","version":1},"attestation_state":"computed","paper":{"title":"Characterizing singularities of a surface in Lie sphere geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Keisuke Teramoto, Kentaro Saji, Mason Pember, Wayne Rossman","submitted_at":"2017-03-13T05:28:59Z","abstract_excerpt":"The conditions for a cuspidal edge, swallowtail and other fundamental singularities are given in the context of Lie sphere geometry. We then use these conditions to study the Lie sphere transformations of a 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":"1703.04257","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-13T05:28:59Z","cross_cats_sorted":[],"title_canon_sha256":"4b502a49b2c63d9d384c5e43fb225f5bd0ba49d528b07e49fb6242c75450d0e4","abstract_canon_sha256":"de045c9078ec92e93527fc7c153ce4b9b8b9f7925ebbdb090dd86b452e33cbac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:49.301519Z","signature_b64":"fXQmARlkRDXY4KBy+Lsp1dMCp2IUKAALPoKdXlAtKh7VBa4Wev2qYsA+TXbcjLnAuktyPeLC8jmwnI0ucBNeDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9b935d266d24873a379a67909ea1f200e9a03377a370fcb3fc8a1312b662d0b","last_reissued_at":"2026-05-18T00:48:49.300776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:49.300776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing singularities of a surface in Lie sphere geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Keisuke Teramoto, Kentaro Saji, Mason Pember, Wayne Rossman","submitted_at":"2017-03-13T05:28:59Z","abstract_excerpt":"The conditions for a cuspidal edge, swallowtail and other fundamental singularities are given in the context of Lie sphere geometry. We then use these conditions to study the Lie sphere transformations of a surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04257","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":"1703.04257","created_at":"2026-05-18T00:48:49.300892+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.04257v1","created_at":"2026-05-18T00:48:49.300892+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04257","created_at":"2026-05-18T00:48:49.300892+00:00"},{"alias_kind":"pith_short_12","alias_value":"5G4TLUTG2JEH","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5G4TLUTG2JEHHI3Z","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5G4TLUTG","created_at":"2026-05-18T12:31:00.734936+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/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA","json":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA.json","graph_json":"https://pith.science/api/pith-number/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/graph.json","events_json":"https://pith.science/api/pith-number/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/events.json","paper":"https://pith.science/paper/5G4TLUTG"},"agent_actions":{"view_html":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA","download_json":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA.json","view_paper":"https://pith.science/paper/5G4TLUTG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.04257&json=true","fetch_graph":"https://pith.science/api/pith-number/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/graph.json","fetch_events":"https://pith.science/api/pith-number/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/action/storage_attestation","attest_author":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/action/author_attestation","sign_citation":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/action/citation_signature","submit_replication":"https://pith.science/pith/5G4TLUTG2JEHHI3ZUZ4QT2Q7EA/action/replication_record"}},"created_at":"2026-05-18T00:48:49.300892+00:00","updated_at":"2026-05-18T00:48:49.300892+00:00"}