{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GHS5BCTFE4XC7IRF2P3E3N7MSM","short_pith_number":"pith:GHS5BCTF","schema_version":"1.0","canonical_sha256":"31e5d08a65272e2fa225d3f64db7ec933288d749d2c03b63acfaf41669b80c5c","source":{"kind":"arxiv","id":"1205.2311","version":1},"attestation_state":"computed","paper":{"title":"Lens surgeries along the $n$-twisted Whitehead link","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Masafumi Shimozawa, Noriko Maruyama, Teruhisa Kadokami","submitted_at":"2012-05-10T17:01:14Z","abstract_excerpt":"We determine lens surgeries (i.e.\\ Dehn surgery yielding a lens space) along the $n$-twisted Whitehead link. To do so, we first give necessary conditions to yield a lens space from the Alexander polynomial of the link as: (1) $n=1$ (i.e. the Whitehead link), and (2) one of surgery coefficients is 1, 2 or 3. Our interests are not only lens surgery itself but also how to apply the Alexander polynomial for this kind of problems."},"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":"1205.2311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-05-10T17:01:14Z","cross_cats_sorted":[],"title_canon_sha256":"50cfb0192788fc5a8ee8f684e47e34874953589603871817b4ebfb14c427e477","abstract_canon_sha256":"4382f5692b12c988b353091a3541d81163c5984a08c61903058a9e8a0cfd2da1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:56.631946Z","signature_b64":"PU4pWOwzCPpNHN8uUgSwGnIf/KTWsWqfyiRUoc1aqsA+Xv1ktdTpmMqVNm+gKHR+WIKJiYACOPo3koHzXd8hDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31e5d08a65272e2fa225d3f64db7ec933288d749d2c03b63acfaf41669b80c5c","last_reissued_at":"2026-05-18T03:55:56.631445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:56.631445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lens surgeries along the $n$-twisted Whitehead link","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Masafumi Shimozawa, Noriko Maruyama, Teruhisa Kadokami","submitted_at":"2012-05-10T17:01:14Z","abstract_excerpt":"We determine lens surgeries (i.e.\\ Dehn surgery yielding a lens space) along the $n$-twisted Whitehead link. To do so, we first give necessary conditions to yield a lens space from the Alexander polynomial of the link as: (1) $n=1$ (i.e. the Whitehead link), and (2) one of surgery coefficients is 1, 2 or 3. Our interests are not only lens surgery itself but also how to apply the Alexander polynomial for this kind of problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2311","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":"1205.2311","created_at":"2026-05-18T03:55:56.631522+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.2311v1","created_at":"2026-05-18T03:55:56.631522+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2311","created_at":"2026-05-18T03:55:56.631522+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHS5BCTFE4XC","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHS5BCTFE4XC7IRF","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHS5BCTF","created_at":"2026-05-18T12:27:06.952714+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/GHS5BCTFE4XC7IRF2P3E3N7MSM","json":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM.json","graph_json":"https://pith.science/api/pith-number/GHS5BCTFE4XC7IRF2P3E3N7MSM/graph.json","events_json":"https://pith.science/api/pith-number/GHS5BCTFE4XC7IRF2P3E3N7MSM/events.json","paper":"https://pith.science/paper/GHS5BCTF"},"agent_actions":{"view_html":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM","download_json":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM.json","view_paper":"https://pith.science/paper/GHS5BCTF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.2311&json=true","fetch_graph":"https://pith.science/api/pith-number/GHS5BCTFE4XC7IRF2P3E3N7MSM/graph.json","fetch_events":"https://pith.science/api/pith-number/GHS5BCTFE4XC7IRF2P3E3N7MSM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM/action/storage_attestation","attest_author":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM/action/author_attestation","sign_citation":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM/action/citation_signature","submit_replication":"https://pith.science/pith/GHS5BCTFE4XC7IRF2P3E3N7MSM/action/replication_record"}},"created_at":"2026-05-18T03:55:56.631522+00:00","updated_at":"2026-05-18T03:55:56.631522+00:00"}