{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4ZY5TU2LCXIQB5THZXOVRSTSSL","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":"64c9e42b00cac4cbf69a811ce06e5975954b6ea7e9d06810cbf2a513ee48ff52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-18T05:15:31Z","title_canon_sha256":"a13b3f94bf99ae739c808bf1ce9260296183ca19eaa6f69eabcc76624a7d32ff"},"schema_version":"1.0","source":{"id":"1607.04951","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04951","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04951v2","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04951","created_at":"2026-05-18T00:46:49Z"},{"alias_kind":"pith_short_12","alias_value":"4ZY5TU2LCXIQ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4ZY5TU2LCXIQB5TH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4ZY5TU2L","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:9237b5a66683a0ae3d0417a60f6dbc312c6f3a323b754a33ee2885f082d19cbd","target":"graph","created_at":"2026-05-18T00:46:49Z","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":"The linking set is an invariant of algebraic plane curves introduced by Meilhan and the first author. It has been successfully used to detect several examples of Zariski pairs, i.e. curves with the same combinatorics and different embedding in $\\mathds{CP}^2$. Differentiating Shimada's $\\pi_1$-equivalent Zariski pair by the linking set, we prove, in the present paper, that this invariant is not determined by the fundamental group of the curve.","authors_text":"Beno\\^it Guerville-Ball\\'e, Taketo Shirane","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-18T05:15:31Z","title":"Non-homotopicity of the linking set of algebraic plane curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04951","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":"sha256:04970af064dd325665bab7a5468ea14a0ee809ae79f4ad2011590278b9591109","target":"record","created_at":"2026-05-18T00:46:49Z","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":"64c9e42b00cac4cbf69a811ce06e5975954b6ea7e9d06810cbf2a513ee48ff52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-07-18T05:15:31Z","title_canon_sha256":"a13b3f94bf99ae739c808bf1ce9260296183ca19eaa6f69eabcc76624a7d32ff"},"schema_version":"1.0","source":{"id":"1607.04951","kind":"arxiv","version":2}},"canonical_sha256":"e671d9d34b15d100f667cddd58ca7292ffac576a69ff4266ba38715ca892c744","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e671d9d34b15d100f667cddd58ca7292ffac576a69ff4266ba38715ca892c744","first_computed_at":"2026-05-18T00:46:49.283866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:49.283866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TY0cUUNtuKwOwI5UJbYcgAurp+caVobBd01YqRo/niYfISZEdDITDTXISvyn81D3tgY4Zt4QDuR8z95vNpu6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:49.284573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04951","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04970af064dd325665bab7a5468ea14a0ee809ae79f4ad2011590278b9591109","sha256:9237b5a66683a0ae3d0417a60f6dbc312c6f3a323b754a33ee2885f082d19cbd"],"state_sha256":"92b4ac4e675c24a774121fdb6780fdc8c8f733b96e2d1db8459f6c3fc1331f72"}