{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:CQ7ZGMBZTPC4LWGS7XVZ33GKYY","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":"91f49e539e39c2663d87e6086a012aaebe0aa05fec708bfde2fe4d11a534d279","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.AG","submitted_at":"2004-11-23T11:28:15Z","title_canon_sha256":"bbd11e94caf9142ce0ecb2390021b213edb6bc89096753e644030e4064235b52"},"schema_version":"1.0","source":{"id":"math/0411506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0411506","created_at":"2026-05-18T00:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"math/0411506v1","created_at":"2026-05-18T00:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411506","created_at":"2026-05-18T00:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"CQ7ZGMBZTPC4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"CQ7ZGMBZTPC4LWGS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"CQ7ZGMBZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:6e7db94045dab708a60e664be301202d3e1e7884393da1ba362322777e01e821","target":"graph","created_at":"2026-05-18T00:16:51Z","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":"In this work we study the connection between the existence of finite dihedral covers of the projective plane ramified along an algebraic curve C, infinite dihedral covers, and pencils of curves containing C.","authors_text":"E. Artal Bartolo, Hiro-o Tokunaga, Jose Ignacio Cogolludo","cross_cats":["math.GT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2004-11-23T11:28:15Z","title":"Pencils and Infinite Dihedral covers of P^2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411506","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":"sha256:46c5a12e6bb5bba0b792a714a20f26f92c2e4f6f7aefe11aa1023709600fa724","target":"record","created_at":"2026-05-18T00:16:51Z","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":"91f49e539e39c2663d87e6086a012aaebe0aa05fec708bfde2fe4d11a534d279","cross_cats_sorted":["math.GT"],"license":"","primary_cat":"math.AG","submitted_at":"2004-11-23T11:28:15Z","title_canon_sha256":"bbd11e94caf9142ce0ecb2390021b213edb6bc89096753e644030e4064235b52"},"schema_version":"1.0","source":{"id":"math/0411506","kind":"arxiv","version":1}},"canonical_sha256":"143f9330399bc5c5d8d2fdeb9deccac630e7f393085fb5b528984af22a576274","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"143f9330399bc5c5d8d2fdeb9deccac630e7f393085fb5b528984af22a576274","first_computed_at":"2026-05-18T00:16:51.326610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:51.326610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bJIahkUYDv82Hb6PFZDZHD0cd76mR2yKKRmOYqfjS9J/tlPYI3SOSYdjDfYLnmjAmBDPwkNl7kk3W8bx9fmlAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:51.327348Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0411506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46c5a12e6bb5bba0b792a714a20f26f92c2e4f6f7aefe11aa1023709600fa724","sha256:6e7db94045dab708a60e664be301202d3e1e7884393da1ba362322777e01e821"],"state_sha256":"b7eee60da4122187da3ac466b9f1cdb6ee4a5bb8d3ac72a6168146eb8677cecf"}