{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GIVHWZXVWQZA5KUT4OGQ5LOOGJ","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":"d64855658b24515852e514d00018ec0a389f6abbb6dec5f86deb421512b1828d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-11-05T10:45:53Z","title_canon_sha256":"d2e1edb2a24ea8f5578e5273ace494c9e1d9ed29193213bdb543679c43cbebbc"},"schema_version":"1.0","source":{"id":"2411.02984","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.02984","created_at":"2026-05-26T02:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"2411.02984v2","created_at":"2026-05-26T02:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.02984","created_at":"2026-05-26T02:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"GIVHWZXVWQZA","created_at":"2026-05-26T02:04:59Z"},{"alias_kind":"pith_short_16","alias_value":"GIVHWZXVWQZA5KUT","created_at":"2026-05-26T02:04:59Z"},{"alias_kind":"pith_short_8","alias_value":"GIVHWZXV","created_at":"2026-05-26T02:04:59Z"}],"graph_snapshots":[{"event_id":"sha256:6d1bc1da71b74fd190ae32241838d75d78f706e91361dc937efee9e98ed0c770","target":"graph","created_at":"2026-05-26T02:04:59Z","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/2411.02984/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $E/F$ be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be put in $p$-adic families. As an application, using the theory of base change, we give a geometric construction of the multivariable $p$-adic adjoint $L$-function twisted by the Hecke character of $E/F$, attached to Hida families of Hilbert modular forms over $F$.","authors_text":"Antonio Cauchi, Giovanni Rosso, Marc-Hubert Nicole","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-11-05T10:45:53Z","title":"Hirzebruch-Zagier cycles in $p$-adic families and adjoint $L$-values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.02984","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:ca6452d36d7394106d20f24f47d5a2773dca0e2aa590a298b21ad0e62654eb8c","target":"record","created_at":"2026-05-26T02:04:59Z","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":"d64855658b24515852e514d00018ec0a389f6abbb6dec5f86deb421512b1828d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2024-11-05T10:45:53Z","title_canon_sha256":"d2e1edb2a24ea8f5578e5273ace494c9e1d9ed29193213bdb543679c43cbebbc"},"schema_version":"1.0","source":{"id":"2411.02984","kind":"arxiv","version":2}},"canonical_sha256":"322a7b66f5b4320eaa93e38d0eadce32512363bb6fbc4ff750c60dc71b50ecd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"322a7b66f5b4320eaa93e38d0eadce32512363bb6fbc4ff750c60dc71b50ecd0","first_computed_at":"2026-05-26T02:04:59.184279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:59.184279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lQhjU/jNtWv/dJOrVgNyPaVCTC4ijbGxQ1gZceYfyA49u4/mpNTXDncUbiuAhNND9WlYxd6BCR3rqyvHpCLzDQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:59.185284Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.02984","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca6452d36d7394106d20f24f47d5a2773dca0e2aa590a298b21ad0e62654eb8c","sha256:6d1bc1da71b74fd190ae32241838d75d78f706e91361dc937efee9e98ed0c770"],"state_sha256":"006ddadf0f0df31de238dcca3d9f9b72d386526139a8004e190f3514107b2488"}