{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2FQFVG3DNEMDDPA7EGJO3X6SSF","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":"2523ff61911972f3d1387049fb18531912f1633c91003c67b8029acd92acde2d","cross_cats_sorted":["math.AG","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-10-16T21:56:18Z","title_canon_sha256":"d622c826fa36ec1480ac6031896b1d3b55d53dc918a926f294d8f77842951e4c"},"schema_version":"1.0","source":{"id":"1610.04920","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04920","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04920v1","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04920","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"2FQFVG3DNEMD","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FQFVG3DNEMDDPA7","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FQFVG3D","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:8523307ff6b022728da2e34031ffe521c9061f890cd1a789138071ee40359419","target":"graph","created_at":"2026-05-18T01:02:06Z","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":"We consider the space of smooth complex projective plane curves of degree d. Defined over this is the tautological family of plane curves, and hence there is a monodromy representation into the mapping class group of the fiber. We show two results concerning this monodromy group. First, we show that the presence of an invariant known as a \"n-spin structure\" constrains the image in ways not predicted by previous work of Beauville. Second, we show that for degree d=5, our invariant is the only obstruction for a mapping class to be contained in the image. This requires combining the algebro-geome","authors_text":"Nick Salter","cross_cats":["math.AG","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-10-16T21:56:18Z","title":"On the monodromy group of the family of smooth plane curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04920","kind":"arxiv","version":1},"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:ad9df9cb169781a4c1b469ef01401ca4c5dfd0196c0922f8fd6b9e455f5bfae4","target":"record","created_at":"2026-05-18T01:02:06Z","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":"2523ff61911972f3d1387049fb18531912f1633c91003c67b8029acd92acde2d","cross_cats_sorted":["math.AG","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-10-16T21:56:18Z","title_canon_sha256":"d622c826fa36ec1480ac6031896b1d3b55d53dc918a926f294d8f77842951e4c"},"schema_version":"1.0","source":{"id":"1610.04920","kind":"arxiv","version":1}},"canonical_sha256":"d1605a9b63691831bc1f2192eddfd2915b61d1d530102a804c4237ab40df63dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1605a9b63691831bc1f2192eddfd2915b61d1d530102a804c4237ab40df63dc","first_computed_at":"2026-05-18T01:02:06.721108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:06.721108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3skV4kJMJP2/zIt4WvPtXlxrcT5pQUtrRtPgDCbEWyKTt05R3haX4UFaAfX9UMlOCUqUJMGB3Hj5DK8Y6TeKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:06.721591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04920","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad9df9cb169781a4c1b469ef01401ca4c5dfd0196c0922f8fd6b9e455f5bfae4","sha256:8523307ff6b022728da2e34031ffe521c9061f890cd1a789138071ee40359419"],"state_sha256":"abaf6b68117729fba6f29d0ad2307e40eca5e785939171596dfcb7d0b50d8e92"}