{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:J63ESZ7SBUL7BMTQBN2WNZF3RN","short_pith_number":"pith:J63ESZ7S","schema_version":"1.0","canonical_sha256":"4fb64967f20d17f0b2700b7566e4bb8b5dae962dd8cde7ed34d2df387215ae10","source":{"kind":"arxiv","id":"1407.0648","version":1},"attestation_state":"computed","paper":{"title":"Dehn surgery on knots in $S^3$ producing Nil Seifert fibred spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Xingru Zhang, Yi Ni","submitted_at":"2014-07-02T16:59:23Z","abstract_excerpt":"We prove that there are exactly $6$ Nil Seifert fibred spaces which can be obtained by Dehn surgeries on non-trefoil knots in $S^3$, with $\\{60, 144, 156, 288, 300\\}$ as the exact set of all such surgery slopes up to taking the mirror images of the knots. We conjecture that there are exactly $4$ specific hyperbolic knots in $S^3$ which admit Nil Seifert fibred surgery. We also give some more general results and a more general conjecture concerning Seifert fibred surgeries on hyperbolic knots in $S^3$."},"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":"1407.0648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-07-02T16:59:23Z","cross_cats_sorted":[],"title_canon_sha256":"f63980ea672dc9551066a03f78d08857a2dd8d2fff34d9f5c2cc3ff7f5045083","abstract_canon_sha256":"7150f99259ef34852ba2a858e99d84643359425a7b78ccd0f7b2208b289d1721"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:26.421077Z","signature_b64":"rwNTOxIKS3w/HKFXYtZUm4kinEM8jH0Q0suocPPWjpf0oAZF7NfNcCvdcYTF15FtX5V+KaQZ/1GdCi0OstE2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fb64967f20d17f0b2700b7566e4bb8b5dae962dd8cde7ed34d2df387215ae10","last_reissued_at":"2026-05-18T02:48:26.420532Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:26.420532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dehn surgery on knots in $S^3$ producing Nil Seifert fibred spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Xingru Zhang, Yi Ni","submitted_at":"2014-07-02T16:59:23Z","abstract_excerpt":"We prove that there are exactly $6$ Nil Seifert fibred spaces which can be obtained by Dehn surgeries on non-trefoil knots in $S^3$, with $\\{60, 144, 156, 288, 300\\}$ as the exact set of all such surgery slopes up to taking the mirror images of the knots. We conjecture that there are exactly $4$ specific hyperbolic knots in $S^3$ which admit Nil Seifert fibred surgery. We also give some more general results and a more general conjecture concerning Seifert fibred surgeries on hyperbolic knots in $S^3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0648","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":"1407.0648","created_at":"2026-05-18T02:48:26.420608+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.0648v1","created_at":"2026-05-18T02:48:26.420608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0648","created_at":"2026-05-18T02:48:26.420608+00:00"},{"alias_kind":"pith_short_12","alias_value":"J63ESZ7SBUL7","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"J63ESZ7SBUL7BMTQ","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"J63ESZ7S","created_at":"2026-05-18T12:28:33.132498+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/J63ESZ7SBUL7BMTQBN2WNZF3RN","json":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN.json","graph_json":"https://pith.science/api/pith-number/J63ESZ7SBUL7BMTQBN2WNZF3RN/graph.json","events_json":"https://pith.science/api/pith-number/J63ESZ7SBUL7BMTQBN2WNZF3RN/events.json","paper":"https://pith.science/paper/J63ESZ7S"},"agent_actions":{"view_html":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN","download_json":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN.json","view_paper":"https://pith.science/paper/J63ESZ7S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.0648&json=true","fetch_graph":"https://pith.science/api/pith-number/J63ESZ7SBUL7BMTQBN2WNZF3RN/graph.json","fetch_events":"https://pith.science/api/pith-number/J63ESZ7SBUL7BMTQBN2WNZF3RN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN/action/storage_attestation","attest_author":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN/action/author_attestation","sign_citation":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN/action/citation_signature","submit_replication":"https://pith.science/pith/J63ESZ7SBUL7BMTQBN2WNZF3RN/action/replication_record"}},"created_at":"2026-05-18T02:48:26.420608+00:00","updated_at":"2026-05-18T02:48:26.420608+00:00"}