{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4W4BWLOFZ6CPXU4V4QIGHOAW7K","short_pith_number":"pith:4W4BWLOF","schema_version":"1.0","canonical_sha256":"e5b81b2dc5cf84fbd395e41063b816fab655c9a84035f0c5918f214145a4ce78","source":{"kind":"arxiv","id":"1109.4986","version":3},"attestation_state":"computed","paper":{"title":"Finite Hilbert stability of (bi)canonical curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Ishii Smyth, Jarod Alper, Maksym Fedorchuk","submitted_at":"2011-09-23T01:45:48Z","abstract_excerpt":"We prove that a generic canonically or bicanonically embedded smooth curve has semistable m-th Hilbert points for all m. We also prove that a generic bicanonically embedded smooth curve has stable m-th Hilbert points for all m \\geq 3. In the canonical case, this is accomplished by proving finite Hilbert semistability of special singular curves with G_m-action, namely the canonically embedded balanced ribbon and the canonically embedded balanced double A_{2k+1}-curve. In the bicanonical case, we prove finite Hilbert stability of special hyperelliptic curves, namely Wiman curves. Finally, we giv"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1109.4986","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-23T01:45:48Z","cross_cats_sorted":[],"title_canon_sha256":"f980b4dbbb8a119572dd60f5641979064405510f95d036c0965513541454f714","abstract_canon_sha256":"e3733e4a38319c16c39b3b56c9cc27f63fe3dd0442118e5bbe3b3da415662d5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:22.493373Z","signature_b64":"QZXb9K2TgEXLP0WB1Z4J+jk7ndLVeHXdz6hmSL03V0h1CfQX5Qr58Nr6dOIJfqqfK69pQjkZihXUxPNA8bzzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5b81b2dc5cf84fbd395e41063b816fab655c9a84035f0c5918f214145a4ce78","last_reissued_at":"2026-05-18T03:56:22.492744Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:22.492744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite Hilbert stability of (bi)canonical curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Ishii Smyth, Jarod Alper, Maksym Fedorchuk","submitted_at":"2011-09-23T01:45:48Z","abstract_excerpt":"We prove that a generic canonically or bicanonically embedded smooth curve has semistable m-th Hilbert points for all m. We also prove that a generic bicanonically embedded smooth curve has stable m-th Hilbert points for all m \\geq 3. In the canonical case, this is accomplished by proving finite Hilbert semistability of special singular curves with G_m-action, namely the canonically embedded balanced ribbon and the canonically embedded balanced double A_{2k+1}-curve. In the bicanonical case, we prove finite Hilbert stability of special hyperelliptic curves, namely Wiman curves. Finally, we giv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4986","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1109.4986","created_at":"2026-05-18T03:56:22.492830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.4986v3","created_at":"2026-05-18T03:56:22.492830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4986","created_at":"2026-05-18T03:56:22.492830+00:00"},{"alias_kind":"pith_short_12","alias_value":"4W4BWLOFZ6CP","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4W4BWLOFZ6CPXU4V","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4W4BWLOF","created_at":"2026-05-18T12:26:20.644004+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K","json":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K.json","graph_json":"https://pith.science/api/pith-number/4W4BWLOFZ6CPXU4V4QIGHOAW7K/graph.json","events_json":"https://pith.science/api/pith-number/4W4BWLOFZ6CPXU4V4QIGHOAW7K/events.json","paper":"https://pith.science/paper/4W4BWLOF"},"agent_actions":{"view_html":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K","download_json":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K.json","view_paper":"https://pith.science/paper/4W4BWLOF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.4986&json=true","fetch_graph":"https://pith.science/api/pith-number/4W4BWLOFZ6CPXU4V4QIGHOAW7K/graph.json","fetch_events":"https://pith.science/api/pith-number/4W4BWLOFZ6CPXU4V4QIGHOAW7K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K/action/storage_attestation","attest_author":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K/action/author_attestation","sign_citation":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K/action/citation_signature","submit_replication":"https://pith.science/pith/4W4BWLOFZ6CPXU4V4QIGHOAW7K/action/replication_record"}},"created_at":"2026-05-18T03:56:22.492830+00:00","updated_at":"2026-05-18T03:56:22.492830+00:00"}