{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KSHEYLT2G7EJ4CP6WL4GG7ZAL3","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":"ad7c2d36f393d7b7f1d1e9aa4f5523532dff31aee711ea4af2794190ba7e984c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-08T01:39:38Z","title_canon_sha256":"97b4a0a16b5464cda4f49c64c10c5689a4c997c516f7ace34277a5313b188f1f"},"schema_version":"1.0","source":{"id":"1902.02914","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02914","created_at":"2026-05-17T23:49:39Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02914v2","created_at":"2026-05-17T23:49:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02914","created_at":"2026-05-17T23:49:39Z"},{"alias_kind":"pith_short_12","alias_value":"KSHEYLT2G7EJ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KSHEYLT2G7EJ4CP6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KSHEYLT2","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:c32039a25504d37fa809562b3911d0830e016b21cbbbda99343309938265d34e","target":"graph","created_at":"2026-05-17T23:49:39Z","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 compute the Dixmier invariants and bitangents of the plane quartics with 3,6 or 9-cyclic automorphisms, we find that a quartic curve with 6-cyclic automorphism will have 3 horizontal bitangents which form an asysgetic triple. We also discuss the linear matrix representation problem of such curves, and find a degree 6 equation of 1 variable which solves the symbolic solution of the linear matrix representation problem for the curve with 6-cyclic automorphism.","authors_text":"Dun Liang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-08T01:39:38Z","title":"Invariants, Bitangents and Matrix Representations of Plane Quartics with 3-Cyclic Automorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02914","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:a28a42ef78c75f10b13e177f3169b894ad3925f166c9b2b1447756491329f22e","target":"record","created_at":"2026-05-17T23:49:39Z","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":"ad7c2d36f393d7b7f1d1e9aa4f5523532dff31aee711ea4af2794190ba7e984c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-08T01:39:38Z","title_canon_sha256":"97b4a0a16b5464cda4f49c64c10c5689a4c997c516f7ace34277a5313b188f1f"},"schema_version":"1.0","source":{"id":"1902.02914","kind":"arxiv","version":2}},"canonical_sha256":"548e4c2e7a37c89e09feb2f8637f205ec4ab5c8b464e5886e37436f4a3369faf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"548e4c2e7a37c89e09feb2f8637f205ec4ab5c8b464e5886e37436f4a3369faf","first_computed_at":"2026-05-17T23:49:39.248490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:39.248490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xEWxyzYPPO0MywITlYlZh87/S76qhAZwvfnO0XbBd6x+qD1ENezRGPQSCb8Vgcu1TkbPB32SzrcpWxKAzHVNDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:39.249151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02914","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a28a42ef78c75f10b13e177f3169b894ad3925f166c9b2b1447756491329f22e","sha256:c32039a25504d37fa809562b3911d0830e016b21cbbbda99343309938265d34e"],"state_sha256":"5c556a5a7cfba5edffdd2f8f9842c27a21a117471d573a92c3ef840ffab5e24a"}