{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6CFLBQAJ7L2ZXQHJ7RE2UWNNIA","short_pith_number":"pith:6CFLBQAJ","schema_version":"1.0","canonical_sha256":"f08ab0c009faf59bc0e9fc49aa59ad4012e4d59df996dbbd61a9cb5f41c89480","source":{"kind":"arxiv","id":"1303.6691","version":1},"attestation_state":"computed","paper":{"title":"Positive Links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Eamonn Tweedy, Tim D. Cochran","submitted_at":"2013-03-26T22:46:32Z","abstract_excerpt":"Given a link L in the 3-sphere, we ask whether the components of L bound disjoint, nullhomologous disks properly embedded in a simply-connected positive-definite smooth 4-manifold; the knot case has been studied extensively in work of Cochran-Harvey-Horn. Such a 4-manifold is necessarily homeomorphic to a (punctured) connected sum of CP(2)'s. We characterize all links that are slice in a (punctured) connected sum of CP(2)'s in terms of ribbon moves and an operation which we call adding a generalized positive crossing. We find obstructions in the form of the Levine-Tristram signature function, "},"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":"1303.6691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-03-26T22:46:32Z","cross_cats_sorted":[],"title_canon_sha256":"12659f3c74064e44f8b196187751547ad2183477dc7ee16bf48cc5a074115843","abstract_canon_sha256":"14f65b4c9529c340ec2162ba99c2057978f2145d1c3aa4e43be2f0ba0728ee3f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:38.485484Z","signature_b64":"xqB2pT2Ua1bd138tn2igeaWwHw12CEjwNiiJBV7BEnHi0KEos6g4I/Iwtfl8lllQLOd14o8l33L+VX2/qPfxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f08ab0c009faf59bc0e9fc49aa59ad4012e4d59df996dbbd61a9cb5f41c89480","last_reissued_at":"2026-05-18T02:31:38.484882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:38.484882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Positive Links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Eamonn Tweedy, Tim D. Cochran","submitted_at":"2013-03-26T22:46:32Z","abstract_excerpt":"Given a link L in the 3-sphere, we ask whether the components of L bound disjoint, nullhomologous disks properly embedded in a simply-connected positive-definite smooth 4-manifold; the knot case has been studied extensively in work of Cochran-Harvey-Horn. Such a 4-manifold is necessarily homeomorphic to a (punctured) connected sum of CP(2)'s. We characterize all links that are slice in a (punctured) connected sum of CP(2)'s in terms of ribbon moves and an operation which we call adding a generalized positive crossing. We find obstructions in the form of the Levine-Tristram signature function, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6691","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":"1303.6691","created_at":"2026-05-18T02:31:38.484962+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.6691v1","created_at":"2026-05-18T02:31:38.484962+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6691","created_at":"2026-05-18T02:31:38.484962+00:00"},{"alias_kind":"pith_short_12","alias_value":"6CFLBQAJ7L2Z","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6CFLBQAJ7L2ZXQHJ","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6CFLBQAJ","created_at":"2026-05-18T12:27:36.564083+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/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA","json":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA.json","graph_json":"https://pith.science/api/pith-number/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/graph.json","events_json":"https://pith.science/api/pith-number/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/events.json","paper":"https://pith.science/paper/6CFLBQAJ"},"agent_actions":{"view_html":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA","download_json":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA.json","view_paper":"https://pith.science/paper/6CFLBQAJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.6691&json=true","fetch_graph":"https://pith.science/api/pith-number/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/graph.json","fetch_events":"https://pith.science/api/pith-number/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/action/storage_attestation","attest_author":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/action/author_attestation","sign_citation":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/action/citation_signature","submit_replication":"https://pith.science/pith/6CFLBQAJ7L2ZXQHJ7RE2UWNNIA/action/replication_record"}},"created_at":"2026-05-18T02:31:38.484962+00:00","updated_at":"2026-05-18T02:31:38.484962+00:00"}