{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JPPSBBM4YUFSGJY2AWZ5YZARRH","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":"a8797679580a1f50b6640b798395c1d180bc761858d0f19bf0db8c809ce0fdcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-04T09:08:16Z","title_canon_sha256":"0737e65c424d042bc38abd62a352b65797ddff1e4965ba4e28e124d207553fa8"},"schema_version":"1.0","source":{"id":"1302.0620","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0620","created_at":"2026-05-18T03:31:20Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0620v2","created_at":"2026-05-18T03:31:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0620","created_at":"2026-05-18T03:31:20Z"},{"alias_kind":"pith_short_12","alias_value":"JPPSBBM4YUFS","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JPPSBBM4YUFSGJY2","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JPPSBBM4","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:1d856e179f194b68c9f6d1cc11144076ed69fed30d77ba0baf31403cf54265d6","target":"graph","created_at":"2026-05-18T03:31:20Z","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":"Harris and Morrison constructed semistable families f:F \\to Y of k-gonal curves of genus g such that for every k the corresponding modular curves give a sweeping family in the k-gonal locus in the moduli space. Their construction depends on the choice of a smooth curve X. We show that if the genus g(X) is sufficiently high with respect to g, then the ratio K_F^2 / \\chi(O_F) is 8 asymptotically with respect to g(X). We show also that if the gonality is maximal and some conjectured estimates of Harris and Morrison hold, the slope of the fibration f: F\\to Y is 12 asymptotically with respect to g ","authors_text":"Francesco Zucconi, Valentina Beorchia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-04T09:08:16Z","title":"A note on Harris Morrison sweeping families of maximal gonality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0620","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:ed059fce496bebacda1246a610fe873f66c9ce9f9405dcf7a148ac2981b9de8d","target":"record","created_at":"2026-05-18T03:31:20Z","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":"a8797679580a1f50b6640b798395c1d180bc761858d0f19bf0db8c809ce0fdcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-04T09:08:16Z","title_canon_sha256":"0737e65c424d042bc38abd62a352b65797ddff1e4965ba4e28e124d207553fa8"},"schema_version":"1.0","source":{"id":"1302.0620","kind":"arxiv","version":2}},"canonical_sha256":"4bdf20859cc50b23271a05b3dc641189d88de35e9c16386583033ac66afd6c60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bdf20859cc50b23271a05b3dc641189d88de35e9c16386583033ac66afd6c60","first_computed_at":"2026-05-18T03:31:20.312108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:20.312108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Rqjk1/wMj95stkE96KqpHeR66X1FlM3FePgLpVHrceA8s+4wx6MjyXz1VzoF4ZcPJGk9SKkwo8iB7WRPV7XBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:20.312830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0620","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed059fce496bebacda1246a610fe873f66c9ce9f9405dcf7a148ac2981b9de8d","sha256:1d856e179f194b68c9f6d1cc11144076ed69fed30d77ba0baf31403cf54265d6"],"state_sha256":"dafe2d8a081ccd45f738a5a26aef1b17fb800c6f41fc8579634fdb7bf8e65260"}