{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:FGH55R6MCUXKMCLB7WCXYLZI5M","short_pith_number":"pith:FGH55R6M","schema_version":"1.0","canonical_sha256":"298fdec7cc152ea60961fd857c2f28eb3ecdcdd19fbc5daf44a79e5b8cae5faf","source":{"kind":"arxiv","id":"1212.6282","version":2},"attestation_state":"computed","paper":{"title":"Two Fold Branched Covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Dave Auckly","submitted_at":"2012-12-27T00:23:43Z","abstract_excerpt":"Many three dimensional manifolds are two-fold branched covers of the three dimensional sphere. However, there are some that are not. This paper includes exposition about two-fold branched covers and many examples. It shows that there are three dimensional homology spheres that do not two-fold branched cover any manifold, ones that only two-fold branched cover the three dimensional sphere, ones that just two-fold branched cover a non-trivial manifold, and ones that two-fold branched cover the sphere and non-trivial manifolds.\n  When a manifold is surgery on a knot, the possible quotients via in"},"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":"1212.6282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-27T00:23:43Z","cross_cats_sorted":[],"title_canon_sha256":"d39429b45692960002787d28cca4c715eda9fb13fc24455ce3651029622dfcec","abstract_canon_sha256":"9a6ec3fc497d1f511219c48f777ebee3bb199d692d9e2dd46d69128d870d0737"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:03.978406Z","signature_b64":"0yQ8TC+/j54VaiJebpB5/3CVq5yndiWOyxNWLE96rXMCeryypykTZNX+fje+PiSzdDxoH934hzZ4kS4LbEs8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"298fdec7cc152ea60961fd857c2f28eb3ecdcdd19fbc5daf44a79e5b8cae5faf","last_reissued_at":"2026-05-18T02:56:03.977871Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:03.977871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two Fold Branched Covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Dave Auckly","submitted_at":"2012-12-27T00:23:43Z","abstract_excerpt":"Many three dimensional manifolds are two-fold branched covers of the three dimensional sphere. However, there are some that are not. This paper includes exposition about two-fold branched covers and many examples. It shows that there are three dimensional homology spheres that do not two-fold branched cover any manifold, ones that only two-fold branched cover the three dimensional sphere, ones that just two-fold branched cover a non-trivial manifold, and ones that two-fold branched cover the sphere and non-trivial manifolds.\n  When a manifold is surgery on a knot, the possible quotients via in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6282","kind":"arxiv","version":2},"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":"1212.6282","created_at":"2026-05-18T02:56:03.977956+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.6282v2","created_at":"2026-05-18T02:56:03.977956+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6282","created_at":"2026-05-18T02:56:03.977956+00:00"},{"alias_kind":"pith_short_12","alias_value":"FGH55R6MCUXK","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FGH55R6MCUXKMCLB","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FGH55R6M","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/FGH55R6MCUXKMCLB7WCXYLZI5M","json":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M.json","graph_json":"https://pith.science/api/pith-number/FGH55R6MCUXKMCLB7WCXYLZI5M/graph.json","events_json":"https://pith.science/api/pith-number/FGH55R6MCUXKMCLB7WCXYLZI5M/events.json","paper":"https://pith.science/paper/FGH55R6M"},"agent_actions":{"view_html":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M","download_json":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M.json","view_paper":"https://pith.science/paper/FGH55R6M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.6282&json=true","fetch_graph":"https://pith.science/api/pith-number/FGH55R6MCUXKMCLB7WCXYLZI5M/graph.json","fetch_events":"https://pith.science/api/pith-number/FGH55R6MCUXKMCLB7WCXYLZI5M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M/action/storage_attestation","attest_author":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M/action/author_attestation","sign_citation":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M/action/citation_signature","submit_replication":"https://pith.science/pith/FGH55R6MCUXKMCLB7WCXYLZI5M/action/replication_record"}},"created_at":"2026-05-18T02:56:03.977956+00:00","updated_at":"2026-05-18T02:56:03.977956+00:00"}