{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:RCDYFSBVJ4FH34RILUTRUHXCZT","short_pith_number":"pith:RCDYFSBV","canonical_record":{"source":{"id":"2211.16033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-29T09:08:26Z","cross_cats_sorted":[],"title_canon_sha256":"2f36089c2b7b958606dc23b37fbb31dfaef7166c328dbd079fbbfe6741d38eeb","abstract_canon_sha256":"76f24005a2d0cb60b48e9ba6bd2851e812e0c81ffc1f997b7537e16d11284d53"},"schema_version":"1.0"},"canonical_sha256":"888782c8354f0a7df2285d271a1ee2ccc9aba1633f897e41d8a8a677eb456cb6","source":{"kind":"arxiv","id":"2211.16033","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.16033","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"2211.16033v1","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.16033","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"RCDYFSBVJ4FH","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"RCDYFSBVJ4FH34RI","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"RCDYFSBV","created_at":"2026-06-19T16:11:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:RCDYFSBVJ4FH34RILUTRUHXCZT","target":"record","payload":{"canonical_record":{"source":{"id":"2211.16033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-29T09:08:26Z","cross_cats_sorted":[],"title_canon_sha256":"2f36089c2b7b958606dc23b37fbb31dfaef7166c328dbd079fbbfe6741d38eeb","abstract_canon_sha256":"76f24005a2d0cb60b48e9ba6bd2851e812e0c81ffc1f997b7537e16d11284d53"},"schema_version":"1.0"},"canonical_sha256":"888782c8354f0a7df2285d271a1ee2ccc9aba1633f897e41d8a8a677eb456cb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:11:07.401999Z","signature_b64":"g0B+M4hcqcVpucJwCb8DIIhcIDuHADW4fqWy+JvPIfG3SqGvHw7Pt8OpSI/9BlL3X0HZk9XbM10SUtuq1afnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"888782c8354f0a7df2285d271a1ee2ccc9aba1633f897e41d8a8a677eb456cb6","last_reissued_at":"2026-06-19T16:11:07.401615Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:11:07.401615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.16033","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wVg+pQaRjj9UCNeg9cpZPY3tADDfc8qLlqNL/lUyApjFa0RKQYhtYeUVCN6JblIN4rcGsMyHESY0z49nVGrLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:11:35.446962Z"},"content_sha256":"bd48c4375503eda2b47e1bb2964f45d5419ebf9f2ce09f2d5151f64da792a398","schema_version":"1.0","event_id":"sha256:bd48c4375503eda2b47e1bb2964f45d5419ebf9f2ce09f2d5151f64da792a398"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:RCDYFSBVJ4FH34RILUTRUHXCZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-Galois points, II: Arrangements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kei Miura, Satoru Fukasawa, Takeshi Takahashi","submitted_at":"2022-11-29T09:08:26Z","abstract_excerpt":"In Part I, the present authors introduced the notion of a quasi-Galois point, for investigating the automorphism groups of plane curves. In this second part, the number of quasi-Galois points for smooth plane curves is described. In particular, sextic or quartic curves with many quasi-Galois points are characterized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.16033","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.16033/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6YwoNUJvNu7bPcuAGHV1EuQCIOJzffieCxaAu228AEVWXCeGizR8VlZ1M3seo0GAi0INBFFylKfri2FGpye1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T01:11:35.447348Z"},"content_sha256":"30d8c8db4c24321d97c069879f5d5c449eca22b2097d5cad10ec3fb5f1f1dff4","schema_version":"1.0","event_id":"sha256:30d8c8db4c24321d97c069879f5d5c449eca22b2097d5cad10ec3fb5f1f1dff4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RCDYFSBVJ4FH34RILUTRUHXCZT/bundle.json","state_url":"https://pith.science/pith/RCDYFSBVJ4FH34RILUTRUHXCZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RCDYFSBVJ4FH34RILUTRUHXCZT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T01:11:35Z","links":{"resolver":"https://pith.science/pith/RCDYFSBVJ4FH34RILUTRUHXCZT","bundle":"https://pith.science/pith/RCDYFSBVJ4FH34RILUTRUHXCZT/bundle.json","state":"https://pith.science/pith/RCDYFSBVJ4FH34RILUTRUHXCZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RCDYFSBVJ4FH34RILUTRUHXCZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:RCDYFSBVJ4FH34RILUTRUHXCZT","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":"76f24005a2d0cb60b48e9ba6bd2851e812e0c81ffc1f997b7537e16d11284d53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-29T09:08:26Z","title_canon_sha256":"2f36089c2b7b958606dc23b37fbb31dfaef7166c328dbd079fbbfe6741d38eeb"},"schema_version":"1.0","source":{"id":"2211.16033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.16033","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"2211.16033v1","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.16033","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"RCDYFSBVJ4FH","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"RCDYFSBVJ4FH34RI","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"RCDYFSBV","created_at":"2026-06-19T16:11:07Z"}],"graph_snapshots":[{"event_id":"sha256:30d8c8db4c24321d97c069879f5d5c449eca22b2097d5cad10ec3fb5f1f1dff4","target":"graph","created_at":"2026-06-19T16:11:07Z","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/2211.16033/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In Part I, the present authors introduced the notion of a quasi-Galois point, for investigating the automorphism groups of plane curves. In this second part, the number of quasi-Galois points for smooth plane curves is described. In particular, sextic or quartic curves with many quasi-Galois points are characterized.","authors_text":"Kei Miura, Satoru Fukasawa, Takeshi Takahashi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-29T09:08:26Z","title":"Quasi-Galois points, II: Arrangements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.16033","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:bd48c4375503eda2b47e1bb2964f45d5419ebf9f2ce09f2d5151f64da792a398","target":"record","created_at":"2026-06-19T16:11:07Z","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":"76f24005a2d0cb60b48e9ba6bd2851e812e0c81ffc1f997b7537e16d11284d53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-29T09:08:26Z","title_canon_sha256":"2f36089c2b7b958606dc23b37fbb31dfaef7166c328dbd079fbbfe6741d38eeb"},"schema_version":"1.0","source":{"id":"2211.16033","kind":"arxiv","version":1}},"canonical_sha256":"888782c8354f0a7df2285d271a1ee2ccc9aba1633f897e41d8a8a677eb456cb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"888782c8354f0a7df2285d271a1ee2ccc9aba1633f897e41d8a8a677eb456cb6","first_computed_at":"2026-06-19T16:11:07.401615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:07.401615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g0B+M4hcqcVpucJwCb8DIIhcIDuHADW4fqWy+JvPIfG3SqGvHw7Pt8OpSI/9BlL3X0HZk9XbM10SUtuq1afnCQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:07.401999Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.16033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd48c4375503eda2b47e1bb2964f45d5419ebf9f2ce09f2d5151f64da792a398","sha256:30d8c8db4c24321d97c069879f5d5c449eca22b2097d5cad10ec3fb5f1f1dff4"],"state_sha256":"2466285038f5492cac050ef8700a395c9c061644e5d25f0bd39a2c67587548cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fwQI6taJqHIj85npMfcxqCbNyIxFldtAgmNQjU3gzaLv87TDjfUVuwXEdScrOlCmOr2eYf2imd/kNnrV+jkHBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T01:11:35.449266Z","bundle_sha256":"d37a5b3ce09eee42dfaeffa2a83e9c0c63a54629a9f0eadf091c05f6da1d85f4"}}