{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:M4QZL6M42OZQIITMENM2CLPFP5","short_pith_number":"pith:M4QZL6M4","schema_version":"1.0","canonical_sha256":"672195f99cd3b304226c2359a12de57f7df90e742857c93b5fc0513db532030f","source":{"kind":"arxiv","id":"1906.08458","version":2},"attestation_state":"computed","paper":{"title":"The effect of link Dehn surgery on the Thurston norm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Maggie Miller","submitted_at":"2019-06-20T06:26:20Z","abstract_excerpt":"Let $L$ be an $n$-component link ($n>1$) with pairwise nonzero linking numbers in a rational homology $3$-sphere $Y$. Assume the link complement $X:=Y\\setminus\\nu(L)$ has nondegenerate Thurston norm. In this paper, we study when a Thurston norm-minimizing surface $S$ properly embedded in $X$ remains norm-minimizing after Dehn filling all boundary components of $X$ according to $\\partial S$ and capping off $\\partial S$ by disks. In particular, for $n=2$ the capped-off surface is norm-minimizing when $[S]$ lies outside of a finite set of rays in $H_2(X,\\partial X;\\mathbb{R})$. When $Y$ is an int"},"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":"1906.08458","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-06-20T06:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"98980f905ce10d3739ea4e8d8db61689b57c14203eea93ae683776a74d02bd49","abstract_canon_sha256":"56844fbd384aa1a376771a0e7fb3f09d761804a80462adb3624d3b4da9026d5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:57.758540Z","signature_b64":"g5U7r4EoZOPz/zEUaTB1Lg9NaD5Qf7pomzfqj1nIpUpHkyLhm7Fi//+e4jlD4bc2Jx1GQhFayNHNNmCV364iAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"672195f99cd3b304226c2359a12de57f7df90e742857c93b5fc0513db532030f","last_reissued_at":"2026-05-17T23:41:57.757816Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:57.757816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The effect of link Dehn surgery on the Thurston norm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Maggie Miller","submitted_at":"2019-06-20T06:26:20Z","abstract_excerpt":"Let $L$ be an $n$-component link ($n>1$) with pairwise nonzero linking numbers in a rational homology $3$-sphere $Y$. Assume the link complement $X:=Y\\setminus\\nu(L)$ has nondegenerate Thurston norm. In this paper, we study when a Thurston norm-minimizing surface $S$ properly embedded in $X$ remains norm-minimizing after Dehn filling all boundary components of $X$ according to $\\partial S$ and capping off $\\partial S$ by disks. In particular, for $n=2$ the capped-off surface is norm-minimizing when $[S]$ lies outside of a finite set of rays in $H_2(X,\\partial X;\\mathbb{R})$. When $Y$ is an int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08458","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":"1906.08458","created_at":"2026-05-17T23:41:57.757918+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.08458v2","created_at":"2026-05-17T23:41:57.757918+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08458","created_at":"2026-05-17T23:41:57.757918+00:00"},{"alias_kind":"pith_short_12","alias_value":"M4QZL6M42OZQ","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"M4QZL6M42OZQIITM","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"M4QZL6M4","created_at":"2026-05-18T12:33:21.387695+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/M4QZL6M42OZQIITMENM2CLPFP5","json":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5.json","graph_json":"https://pith.science/api/pith-number/M4QZL6M42OZQIITMENM2CLPFP5/graph.json","events_json":"https://pith.science/api/pith-number/M4QZL6M42OZQIITMENM2CLPFP5/events.json","paper":"https://pith.science/paper/M4QZL6M4"},"agent_actions":{"view_html":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5","download_json":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5.json","view_paper":"https://pith.science/paper/M4QZL6M4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.08458&json=true","fetch_graph":"https://pith.science/api/pith-number/M4QZL6M42OZQIITMENM2CLPFP5/graph.json","fetch_events":"https://pith.science/api/pith-number/M4QZL6M42OZQIITMENM2CLPFP5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5/action/storage_attestation","attest_author":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5/action/author_attestation","sign_citation":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5/action/citation_signature","submit_replication":"https://pith.science/pith/M4QZL6M42OZQIITMENM2CLPFP5/action/replication_record"}},"created_at":"2026-05-17T23:41:57.757918+00:00","updated_at":"2026-05-17T23:41:57.757918+00:00"}