{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SUGHTSDQWYJLMD5Z2SK3K3K5CC","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":"c4a0af8037827725d72b10570772620f7d3e5120180ba7eb081931b5100cbbb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-07-02T20:34:41Z","title_canon_sha256":"7b56c88cee7680db71f7be0494af86b1993f51e29bcb2512e674e7d393183f8d"},"schema_version":"1.0","source":{"id":"1107.0413","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0413","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0413v1","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0413","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"SUGHTSDQWYJL","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SUGHTSDQWYJLMD5Z","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SUGHTSDQ","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:7d54f2165864fd4c67736b4f2fdfa53f26fc6e0fa997f3c1470a9089573aab38","target":"graph","created_at":"2026-05-18T04:18:54Z","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 paper we compute the minimal polynomials of Ramanujan values $27t_n^{-12}$ for discriminants D\\equiv5mod24. Our method is based on Shimura Reciprocity Law as which was made computationally explicit by A.Gee and P. Stevenhagen. However, since these Ramanujan values are not class invariants, we present a modification of the above method which can be applied on modular functions that do not necessarily yield class invariants.","authors_text":"Aristides Kontogeorgis, Elisavet Konstantinou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-07-02T20:34:41Z","title":"Ramanujan Invariants for discriminants congruent to $\\mathbf{5\\;mod \\;24"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0413","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:f86c603b792d1e8d2cd690b187ca7a2c8c0f2d387b6f5991ddb5b13f7b126f2f","target":"record","created_at":"2026-05-18T04:18:54Z","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":"c4a0af8037827725d72b10570772620f7d3e5120180ba7eb081931b5100cbbb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-07-02T20:34:41Z","title_canon_sha256":"7b56c88cee7680db71f7be0494af86b1993f51e29bcb2512e674e7d393183f8d"},"schema_version":"1.0","source":{"id":"1107.0413","kind":"arxiv","version":1}},"canonical_sha256":"950c79c870b612b60fb9d495b56d5d108fc4b7a21a2e5a3bef00c462aa2d5043","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"950c79c870b612b60fb9d495b56d5d108fc4b7a21a2e5a3bef00c462aa2d5043","first_computed_at":"2026-05-18T04:18:54.026124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:54.026124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vBqz1DHJDNzgSbrAAV2nXN8LbY+Cm6KqWbrOBerQhBtkiVepfTjAOhwdif0GkQ4Xv0u5SWgwPVD/drqpNlUfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:54.026533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0413","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f86c603b792d1e8d2cd690b187ca7a2c8c0f2d387b6f5991ddb5b13f7b126f2f","sha256:7d54f2165864fd4c67736b4f2fdfa53f26fc6e0fa997f3c1470a9089573aab38"],"state_sha256":"148b77be4feb7e545cd0c0c3061b0bae537718a5197ec693324bea2ab986c7eb"}