{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QR74AIPN2NB2OKXCYGQW6XYMNV","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":"645acd1e60506aaf4bc9ea751026c83a87a8434c0795d876b4de50e7a31e06d6","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-02-03T18:57:27Z","title_canon_sha256":"58001c291a2291da8e8e5fbb4e89db86c3d830a02e403497d0e767e2ad023f46"},"schema_version":"1.0","source":{"id":"1602.01411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01411","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01411v2","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01411","created_at":"2026-05-18T00:39:13Z"},{"alias_kind":"pith_short_12","alias_value":"QR74AIPN2NB2","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QR74AIPN2NB2OKXC","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QR74AIPN","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:fc2e1c9d54cf3d135ac4d8aa1b0e9670372d8f5bc587d8fedce052ce89a1b059","target":"graph","created_at":"2026-05-18T00:39:13Z","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":"For a smooth complex curve C, we consider the link L(r) intersection of C with the boundary of B(r), where B(r) denotes an Euclidean ball of radius r>0. We prove that the diagram D(r) obtained from L(r) by a complex stereographic projection satisfies that the Euler characteristic of the part of C in B(r) equals the rotation number of D(r) minus the writhe of D(r). As a consequence we show that if D(r) has no negative Seifert circles and L(r) is strongly quasipositive and fibred, then the Yamada-Vogel algorithm applied to D(r) yields a quasipositive braid.","authors_text":"Arnaud Bodin, Maciej Borodzik","cross_cats":["math.AG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-02-03T18:57:27Z","title":"Intermediate links of plane curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01411","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:e80499a3c9b3f1a37118da2308e2b07a7a8584bf66a48ad64ef0d1651f460036","target":"record","created_at":"2026-05-18T00:39:13Z","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":"645acd1e60506aaf4bc9ea751026c83a87a8434c0795d876b4de50e7a31e06d6","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-02-03T18:57:27Z","title_canon_sha256":"58001c291a2291da8e8e5fbb4e89db86c3d830a02e403497d0e767e2ad023f46"},"schema_version":"1.0","source":{"id":"1602.01411","kind":"arxiv","version":2}},"canonical_sha256":"847fc021edd343a72ae2c1a16f5f0c6d64785086fbfbbe7a0b2f9227fb9907be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"847fc021edd343a72ae2c1a16f5f0c6d64785086fbfbbe7a0b2f9227fb9907be","first_computed_at":"2026-05-18T00:39:13.683659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:13.683659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GG46WXRH50mYk4W8AZqNr6t7IP9LzeYKe6I6hdp7YeI7ycjgf2ZsKJ+RnvSM5MoTYVzpAEEOjAWAgC7s91a2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:13.684339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e80499a3c9b3f1a37118da2308e2b07a7a8584bf66a48ad64ef0d1651f460036","sha256:fc2e1c9d54cf3d135ac4d8aa1b0e9670372d8f5bc587d8fedce052ce89a1b059"],"state_sha256":"6c784ca1b9d2b3074075b6a0d42a668084e7b052732a2f814ed7d183af898747"}