{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6HSNP6XZMLQQBECXU7JXWXZ2I2","short_pith_number":"pith:6HSNP6XZ","schema_version":"1.0","canonical_sha256":"f1e4d7faf962e1009057a7d37b5f3a46870ce2161ee0333e48fc239e7a2a33fd","source":{"kind":"arxiv","id":"1511.01299","version":1},"attestation_state":"computed","paper":{"title":"On the Monodromy and Galois Group of Conics Lying on Heisenberg Invariant Quartic K3 Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Florian Bouyer","submitted_at":"2015-11-04T12:00:21Z","abstract_excerpt":"In \"Curves on Heisenberg invariant quartic surfaces in projective 3-space\", Eklund showed that a general $(\\mathbb{Z}/2\\mathbb{Z})^{4}$-invariant quartic K3 surface contains at least $320$ conics. In this paper we analyse the field of definition of those conics as well as their Monodromy group. As a result, we prove that the moduli space $(\\mathbb{Z}/2\\mathbb{Z})^{4}$-invariant quartic K3 surface with a marked conic has $10$ irreducible components."},"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":"1511.01299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-04T12:00:21Z","cross_cats_sorted":[],"title_canon_sha256":"50de60e913839962af664dd7221365389fa9adb9e0c29699b552271ee7f02ca1","abstract_canon_sha256":"db9cb8846c4424a7ea607625b33ba81c49eb28ff28b9ff6fad91d881a7c3202e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:47.530971Z","signature_b64":"YVcGSbHn5wvrkc7QWBdh0fcOQl4pp2rZHybbpiu959CMi/jF0DwdsqHDPFrJ8EvSDh6VezUMDfAyhcTsNdevBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1e4d7faf962e1009057a7d37b5f3a46870ce2161ee0333e48fc239e7a2a33fd","last_reissued_at":"2026-05-18T01:27:47.530478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:47.530478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Monodromy and Galois Group of Conics Lying on Heisenberg Invariant Quartic K3 Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Florian Bouyer","submitted_at":"2015-11-04T12:00:21Z","abstract_excerpt":"In \"Curves on Heisenberg invariant quartic surfaces in projective 3-space\", Eklund showed that a general $(\\mathbb{Z}/2\\mathbb{Z})^{4}$-invariant quartic K3 surface contains at least $320$ conics. In this paper we analyse the field of definition of those conics as well as their Monodromy group. As a result, we prove that the moduli space $(\\mathbb{Z}/2\\mathbb{Z})^{4}$-invariant quartic K3 surface with a marked conic has $10$ irreducible components."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01299","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":""},"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":"1511.01299","created_at":"2026-05-18T01:27:47.530555+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.01299v1","created_at":"2026-05-18T01:27:47.530555+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01299","created_at":"2026-05-18T01:27:47.530555+00:00"},{"alias_kind":"pith_short_12","alias_value":"6HSNP6XZMLQQ","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6HSNP6XZMLQQBECX","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6HSNP6XZ","created_at":"2026-05-18T12:29:07.941421+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/6HSNP6XZMLQQBECXU7JXWXZ2I2","json":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2.json","graph_json":"https://pith.science/api/pith-number/6HSNP6XZMLQQBECXU7JXWXZ2I2/graph.json","events_json":"https://pith.science/api/pith-number/6HSNP6XZMLQQBECXU7JXWXZ2I2/events.json","paper":"https://pith.science/paper/6HSNP6XZ"},"agent_actions":{"view_html":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2","download_json":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2.json","view_paper":"https://pith.science/paper/6HSNP6XZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.01299&json=true","fetch_graph":"https://pith.science/api/pith-number/6HSNP6XZMLQQBECXU7JXWXZ2I2/graph.json","fetch_events":"https://pith.science/api/pith-number/6HSNP6XZMLQQBECXU7JXWXZ2I2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2/action/storage_attestation","attest_author":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2/action/author_attestation","sign_citation":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2/action/citation_signature","submit_replication":"https://pith.science/pith/6HSNP6XZMLQQBECXU7JXWXZ2I2/action/replication_record"}},"created_at":"2026-05-18T01:27:47.530555+00:00","updated_at":"2026-05-18T01:27:47.530555+00:00"}