{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:TH3CYV4YARXCAUASYQSRHMUCXA","short_pith_number":"pith:TH3CYV4Y","schema_version":"1.0","canonical_sha256":"99f62c5798046e205012c42513b282b82795754eee3aeda34e0ae883b91812af","source":{"kind":"arxiv","id":"1210.1824","version":3},"attestation_state":"computed","paper":{"title":"Exceptional Slopes on Manifolds of Small Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Fionntan Roukema","submitted_at":"2012-10-05T17:46:41Z","abstract_excerpt":"It has been observed that most manifolds in the Callahan-Hildebrand-Weeks census of cusped hyperbolic $3$-manifolds are obtained by surgery on the minimally twisted 5-chain link. A full classification of the exceptional surgeries on the 5-chain link has recently been completed. In this article, we provide a complete classification of the sets of exceptional slopes and fillings for all cusped hyperbolic surgeries on the minimally twisted 5-chain link, thereby describing the sets of exceptional slopes and fillings for most hyperbolic manifolds of small complexity. The classification produces the"},"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":"1210.1824","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-10-05T17:46:41Z","cross_cats_sorted":[],"title_canon_sha256":"808dba9abdb0f56c31c2a510fbbc1f25faa868a980b3ac0a60a472b0e3fec82c","abstract_canon_sha256":"e78d7dbc73e18c8cea07e3b87ed5b03c22710e0dab6daa1aabe225943e29bbf7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:26.373950Z","signature_b64":"m2sLGcIli5jtaPp6IKA2ikSUWK8o2kg9OAdK6xERvKsnDnnfOyjv9/HvORpsE6BMTUiIKmiFmril3cIgO85PCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99f62c5798046e205012c42513b282b82795754eee3aeda34e0ae883b91812af","last_reissued_at":"2026-05-18T01:28:26.373401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:26.373401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exceptional Slopes on Manifolds of Small Complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Fionntan Roukema","submitted_at":"2012-10-05T17:46:41Z","abstract_excerpt":"It has been observed that most manifolds in the Callahan-Hildebrand-Weeks census of cusped hyperbolic $3$-manifolds are obtained by surgery on the minimally twisted 5-chain link. A full classification of the exceptional surgeries on the 5-chain link has recently been completed. In this article, we provide a complete classification of the sets of exceptional slopes and fillings for all cusped hyperbolic surgeries on the minimally twisted 5-chain link, thereby describing the sets of exceptional slopes and fillings for most hyperbolic manifolds of small complexity. The classification produces the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1824","kind":"arxiv","version":3},"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":"1210.1824","created_at":"2026-05-18T01:28:26.373484+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.1824v3","created_at":"2026-05-18T01:28:26.373484+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1824","created_at":"2026-05-18T01:28:26.373484+00:00"},{"alias_kind":"pith_short_12","alias_value":"TH3CYV4YARXC","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"TH3CYV4YARXCAUAS","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"TH3CYV4Y","created_at":"2026-05-18T12:27:23.164592+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/TH3CYV4YARXCAUASYQSRHMUCXA","json":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA.json","graph_json":"https://pith.science/api/pith-number/TH3CYV4YARXCAUASYQSRHMUCXA/graph.json","events_json":"https://pith.science/api/pith-number/TH3CYV4YARXCAUASYQSRHMUCXA/events.json","paper":"https://pith.science/paper/TH3CYV4Y"},"agent_actions":{"view_html":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA","download_json":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA.json","view_paper":"https://pith.science/paper/TH3CYV4Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.1824&json=true","fetch_graph":"https://pith.science/api/pith-number/TH3CYV4YARXCAUASYQSRHMUCXA/graph.json","fetch_events":"https://pith.science/api/pith-number/TH3CYV4YARXCAUASYQSRHMUCXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA/action/storage_attestation","attest_author":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA/action/author_attestation","sign_citation":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA/action/citation_signature","submit_replication":"https://pith.science/pith/TH3CYV4YARXCAUASYQSRHMUCXA/action/replication_record"}},"created_at":"2026-05-18T01:28:26.373484+00:00","updated_at":"2026-05-18T01:28:26.373484+00:00"}