{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:M4QZL6M42OZQIITMENM2CLPFP5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"56844fbd384aa1a376771a0e7fb3f09d761804a80462adb3624d3b4da9026d5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-06-20T06:26:20Z","title_canon_sha256":"98980f905ce10d3739ea4e8d8db61689b57c14203eea93ae683776a74d02bd49"},"schema_version":"1.0","source":{"id":"1906.08458","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.08458","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"arxiv_version","alias_value":"1906.08458v2","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08458","created_at":"2026-05-17T23:41:57Z"},{"alias_kind":"pith_short_12","alias_value":"M4QZL6M42OZQ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"M4QZL6M42OZQIITM","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"M4QZL6M4","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:92d9ddaf711deb012866afb2ccbf9a53ac274bed649b1612216adce435e98085","target":"graph","created_at":"2026-05-17T23:41:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Maggie Miller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-06-20T06:26:20Z","title":"The effect of link Dehn surgery on the Thurston norm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08458","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f87bc903a06825524f1494ac9b1004a8fe5575dd7c9f25eb86352b596b6fbfb3","target":"record","created_at":"2026-05-17T23:41:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"56844fbd384aa1a376771a0e7fb3f09d761804a80462adb3624d3b4da9026d5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-06-20T06:26:20Z","title_canon_sha256":"98980f905ce10d3739ea4e8d8db61689b57c14203eea93ae683776a74d02bd49"},"schema_version":"1.0","source":{"id":"1906.08458","kind":"arxiv","version":2}},"canonical_sha256":"672195f99cd3b304226c2359a12de57f7df90e742857c93b5fc0513db532030f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"672195f99cd3b304226c2359a12de57f7df90e742857c93b5fc0513db532030f","first_computed_at":"2026-05-17T23:41:57.757816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:57.757816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g5U7r4EoZOPz/zEUaTB1Lg9NaD5Qf7pomzfqj1nIpUpHkyLhm7Fi//+e4jlD4bc2Jx1GQhFayNHNNmCV364iAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:57.758540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.08458","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f87bc903a06825524f1494ac9b1004a8fe5575dd7c9f25eb86352b596b6fbfb3","sha256:92d9ddaf711deb012866afb2ccbf9a53ac274bed649b1612216adce435e98085"],"state_sha256":"e3919373305c1560d6860dc1bec2b5a496182f266a9e40b2e035033b3eeedfb9"}