{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DEZKG3UGXDINB3X5DKE27UDDRN","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":"6354085b803e358a74d12f3e22982794dd78657c08bbe9076079f9255f0856e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-17T08:04:31Z","title_canon_sha256":"baba27fd4e2965cee4de9291e87399a0faca1592dbcdfc83d7e31121453cc95b"},"schema_version":"1.0","source":{"id":"1209.3571","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3571","created_at":"2026-05-18T00:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3571v4","created_at":"2026-05-18T00:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3571","created_at":"2026-05-18T00:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"DEZKG3UGXDIN","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEZKG3UGXDINB3X5","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEZKG3UG","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:61b6e2627cfd65ade097e4ab02542c136c6ca5daef393f0b39a9ab253d723471","target":"graph","created_at":"2026-05-18T00:43:10Z","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 bound the slope of sweeping curves in the fourgonal locus of the moduli space of genus g algebraic curves. Our results follow from some Bogomolov-type inequalities for weakly positive rank two vector bundles on ruled surfaces.","authors_text":"Francesco Zucconi, Valentina Beorchia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-17T08:04:31Z","title":"On the slope of fourgonal semistable fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3571","kind":"arxiv","version":4},"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":"sha256:2b937576589278549b400ff38b2362a9ff352fb0737fc8d9a5de15ffb4eab84f","target":"record","created_at":"2026-05-18T00:43:10Z","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":"6354085b803e358a74d12f3e22982794dd78657c08bbe9076079f9255f0856e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-17T08:04:31Z","title_canon_sha256":"baba27fd4e2965cee4de9291e87399a0faca1592dbcdfc83d7e31121453cc95b"},"schema_version":"1.0","source":{"id":"1209.3571","kind":"arxiv","version":4}},"canonical_sha256":"1932a36e86b8d0d0eefd1a89afd0638b4a118bf52ee7be16e99643a18f326319","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1932a36e86b8d0d0eefd1a89afd0638b4a118bf52ee7be16e99643a18f326319","first_computed_at":"2026-05-18T00:43:10.001254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:10.001254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F/rxLkZeq15Taizv9Up7vP8vMiFpJtVjM8h3PM2MBnK6zc8YR4hMRbQq6lLXEWWsY42yMoAQ8JReTNudJmOgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:10.001811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3571","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b937576589278549b400ff38b2362a9ff352fb0737fc8d9a5de15ffb4eab84f","sha256:61b6e2627cfd65ade097e4ab02542c136c6ca5daef393f0b39a9ab253d723471"],"state_sha256":"5ca1f1f25671ae154c1e5bb01831ed2a55a77e9e1a7ef00e5d6bdf30e1d05e20"}