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Let us denote by i_d the inclusion of L_d in S^7. We show that for arbitrary diffeomorphisms \\varphi_d of S^3 \\times S^2 with L_d the compositions i_d \\circ \\varphi_d are image regularly homotopic for two values d_1 and d_2 if and only if d_1-d_2 is even."},"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":"1310.4976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-18T11:34:17Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"292510bb5ae2242360c4baa0bcb8c548b30b59bd0a6c66bd6704fe0b34521190","abstract_canon_sha256":"7d1d2df9e24803d8f132da3b1160e112c24c0ef8cea44d1317a14ad4e5677a99"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:01.742719Z","signature_b64":"2FFmvRW45g8he8Jhb9kEaZ4UTDH5bEzdcdBQgMYbRRPAW82RQNY1OyyRCebCvoPKjykRDaTi04sjPSqnQ17TCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"471c3fdf5da41d0194a06113e7874a569f960df4e3b8d9429ff5017cbcb4b172","last_reissued_at":"2026-05-18T03:10:01.742192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:01.742192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Links of singularities up to regular homotopy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AG","authors_text":"Andr\\'as N\\'emethi, Andr\\'as Sz\\H{u}cs, Atsuko Katanaga","submitted_at":"2013-10-18T11:34:17Z","abstract_excerpt":"The abstract link L_d of the complex isolated singularity x^2 + y^2 + z^2 + v^{2d} = 0 is diffeomorphic to S^3 \\times S^2. 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We show that for arbitrary diffeomorphisms \\varphi_d of S^3 \\times S^2 with L_d the compositions i_d \\circ \\varphi_d are image regularly homotopic for two values d_1 and d_2 if and only if d_1-d_2 is even."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4976","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":"1310.4976","created_at":"2026-05-18T03:10:01.742272+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.4976v1","created_at":"2026-05-18T03:10:01.742272+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4976","created_at":"2026-05-18T03:10:01.742272+00:00"},{"alias_kind":"pith_short_12","alias_value":"I4OD7X25UQOQ","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"I4OD7X25UQOQDFFA","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"I4OD7X25","created_at":"2026-05-18T12:27:46.883200+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/I4OD7X25UQOQDFFAMEJ6PB2KK2","json":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2.json","graph_json":"https://pith.science/api/pith-number/I4OD7X25UQOQDFFAMEJ6PB2KK2/graph.json","events_json":"https://pith.science/api/pith-number/I4OD7X25UQOQDFFAMEJ6PB2KK2/events.json","paper":"https://pith.science/paper/I4OD7X25"},"agent_actions":{"view_html":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2","download_json":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2.json","view_paper":"https://pith.science/paper/I4OD7X25","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.4976&json=true","fetch_graph":"https://pith.science/api/pith-number/I4OD7X25UQOQDFFAMEJ6PB2KK2/graph.json","fetch_events":"https://pith.science/api/pith-number/I4OD7X25UQOQDFFAMEJ6PB2KK2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2/action/storage_attestation","attest_author":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2/action/author_attestation","sign_citation":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2/action/citation_signature","submit_replication":"https://pith.science/pith/I4OD7X25UQOQDFFAMEJ6PB2KK2/action/replication_record"}},"created_at":"2026-05-18T03:10:01.742272+00:00","updated_at":"2026-05-18T03:10:01.742272+00:00"}