{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZIOID77AB2AHN3CPK4W3R4A4BR","short_pith_number":"pith:ZIOID77A","schema_version":"1.0","canonical_sha256":"ca1c81ffe00e8076ec4f572db8f01c0c630f456a33b9f5cbc7ebb70b9c0105d8","source":{"kind":"arxiv","id":"1601.00404","version":2},"attestation_state":"computed","paper":{"title":"Siegel families with application to class fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dong Hwa Shin, Dong Sung Yoon, Ja Kyung Koo","submitted_at":"2016-01-04T08:03:10Z","abstract_excerpt":"We investigate certain families of meromorphic Siegel modular functions on which Galois groups act in a natural way. By using Shimura's reciprocity law we construct some algebraic numbers in the ray class fields of CM-fields in terms of special values of functions in these Siegel families."},"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":"1601.00404","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-01-04T08:03:10Z","cross_cats_sorted":[],"title_canon_sha256":"0f17a02455a016502e9e7748798d705badcc83baa758be2e1ee6bbcaebec2662","abstract_canon_sha256":"3c269c19b593b0c574a59b73fe9c44316d9a767569178830283fee31e6b03e39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:30.275084Z","signature_b64":"F7yzRvKqaEqZJ7lxlxTcvybFSEEeB9IQvDTjCA8881wnMGyzmQ9eQWrYgdM+TXAyoHxh8UvhGyPBdJle8UCeCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca1c81ffe00e8076ec4f572db8f01c0c630f456a33b9f5cbc7ebb70b9c0105d8","last_reissued_at":"2026-05-18T01:17:30.274229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:30.274229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Siegel families with application to class fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dong Hwa Shin, Dong Sung Yoon, Ja Kyung Koo","submitted_at":"2016-01-04T08:03:10Z","abstract_excerpt":"We investigate certain families of meromorphic Siegel modular functions on which Galois groups act in a natural way. By using Shimura's reciprocity law we construct some algebraic numbers in the ray class fields of CM-fields in terms of special values of functions in these Siegel families."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00404","kind":"arxiv","version":2},"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":"1601.00404","created_at":"2026-05-18T01:17:30.274387+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.00404v2","created_at":"2026-05-18T01:17:30.274387+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00404","created_at":"2026-05-18T01:17:30.274387+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZIOID77AB2AH","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZIOID77AB2AHN3CP","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZIOID77A","created_at":"2026-05-18T12:30:53.716459+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/ZIOID77AB2AHN3CPK4W3R4A4BR","json":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR.json","graph_json":"https://pith.science/api/pith-number/ZIOID77AB2AHN3CPK4W3R4A4BR/graph.json","events_json":"https://pith.science/api/pith-number/ZIOID77AB2AHN3CPK4W3R4A4BR/events.json","paper":"https://pith.science/paper/ZIOID77A"},"agent_actions":{"view_html":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR","download_json":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR.json","view_paper":"https://pith.science/paper/ZIOID77A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.00404&json=true","fetch_graph":"https://pith.science/api/pith-number/ZIOID77AB2AHN3CPK4W3R4A4BR/graph.json","fetch_events":"https://pith.science/api/pith-number/ZIOID77AB2AHN3CPK4W3R4A4BR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR/action/storage_attestation","attest_author":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR/action/author_attestation","sign_citation":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR/action/citation_signature","submit_replication":"https://pith.science/pith/ZIOID77AB2AHN3CPK4W3R4A4BR/action/replication_record"}},"created_at":"2026-05-18T01:17:30.274387+00:00","updated_at":"2026-05-18T01:17:30.274387+00:00"}