{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WG3TFMNZKGDZZSUTUD4H4Y2TX3","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":"4a3ecac83b20a41a9c7025c291d810fd3c70ad67adb42a2512aa6917241986e6","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2025-05-26T12:22:10Z","title_canon_sha256":"69885df812e1ecbe283c4b7888993d3a27a0c27d659af1755c0263bffba5af56"},"schema_version":"1.0","source":{"id":"2505.19890","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.19890","created_at":"2026-07-05T11:25:11Z"},{"alias_kind":"arxiv_version","alias_value":"2505.19890v2","created_at":"2026-07-05T11:25:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.19890","created_at":"2026-07-05T11:25:11Z"},{"alias_kind":"pith_short_12","alias_value":"WG3TFMNZKGDZ","created_at":"2026-07-05T11:25:11Z"},{"alias_kind":"pith_short_16","alias_value":"WG3TFMNZKGDZZSUT","created_at":"2026-07-05T11:25:11Z"},{"alias_kind":"pith_short_8","alias_value":"WG3TFMNZ","created_at":"2026-07-05T11:25:11Z"}],"graph_snapshots":[{"event_id":"sha256:4d4be251846b597548f1cf95aa2cfe5d3b67fe9a782d52192af29f325c82fa11","target":"graph","created_at":"2026-07-05T11:25:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.19890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a novel approach to the Brill-Noether theory of curves endowed with a degree k cover of the projective line via Bridgeland stability conditions on elliptic K3 surfaces. We first develop the Brill-Noether theory on elliptic K3 surfaces via the notion of Bridgeland stability type for objects in their derived category. As a main application, we show that curves on elliptic K3 surfaces serve as the first known examples of smooth k-gonal curves which are general from the viewpoint of Hurwitz-Brill-Noether theory. In particular, we provide new proofs of the main non-existence and existenc","authors_text":"Andr\\'es Rojas, Gavril Farkas, Soheyla Feyzbakhsh","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2025-05-26T12:22:10Z","title":"Hurwitz-Brill-Noether theory via K3 surfaces and stability conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.19890","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:fdefce1809a684b502e9dd446d85edb93b403204a7b6721fc705b2ca1add9e5a","target":"record","created_at":"2026-07-05T11:25:11Z","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":"4a3ecac83b20a41a9c7025c291d810fd3c70ad67adb42a2512aa6917241986e6","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2025-05-26T12:22:10Z","title_canon_sha256":"69885df812e1ecbe283c4b7888993d3a27a0c27d659af1755c0263bffba5af56"},"schema_version":"1.0","source":{"id":"2505.19890","kind":"arxiv","version":2}},"canonical_sha256":"b1b732b1b951879cca93a0f87e6353bee2c3c28bd2eb9def0249e19f55f16a3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1b732b1b951879cca93a0f87e6353bee2c3c28bd2eb9def0249e19f55f16a3b","first_computed_at":"2026-07-05T11:25:11.073041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:25:11.073041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"og1/LKgpLOIt0QdT2qaS0MDtnwL8jKIXxkT/iBCAcZpLSfPWNaLAxzcsJrVZCvYmZe8TsD8bytemD2KSiK5EBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:25:11.073522Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.19890","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdefce1809a684b502e9dd446d85edb93b403204a7b6721fc705b2ca1add9e5a","sha256:4d4be251846b597548f1cf95aa2cfe5d3b67fe9a782d52192af29f325c82fa11"],"state_sha256":"c4587d9873ce259b20b5302dd31760d71e9feb7f51181344328ba6076931dbfb"}