{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WY5TTI3YPI2Y76LXKJBNYLK36T","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":"e567f0b8a571033705949c4f678e7e535eaea04a1d476a12a902d8292cc32ed3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-01-20T18:55:42Z","title_canon_sha256":"1c698202605b39040c963bceaade58501bce782a86d9731c1928d4e7c031b8dc"},"schema_version":"1.0","source":{"id":"2301.08733","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.08733","created_at":"2026-07-05T05:34:39Z"},{"alias_kind":"arxiv_version","alias_value":"2301.08733v1","created_at":"2026-07-05T05:34:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.08733","created_at":"2026-07-05T05:34:39Z"},{"alias_kind":"pith_short_12","alias_value":"WY5TTI3YPI2Y","created_at":"2026-07-05T05:34:39Z"},{"alias_kind":"pith_short_16","alias_value":"WY5TTI3YPI2Y76LX","created_at":"2026-07-05T05:34:39Z"},{"alias_kind":"pith_short_8","alias_value":"WY5TTI3Y","created_at":"2026-07-05T05:34:39Z"}],"graph_snapshots":[{"event_id":"sha256:999c1c0d8642ce3eaa7fa43d1937561ae9bf96b9b353353e397cc086c5f56dcf","target":"graph","created_at":"2026-07-05T05:34:39Z","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/2301.08733/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider arbitrary polarized variations of Hodge structure of weight two and $h^{2,0}=1$ over a non--singular complex algebraic curve $S$ and analyze the boundary behaviour of the associated Kudla--Millson theta series using Schmid's theorems on degenerations of Hodge structure. This allows us to prove that this theta series is always integrable over $S$ and to describe explicitly the non-holomorphic part of the Kudla--Millson generating series in terms of the mixed Hodge structures at infinity.","authors_text":"Luis E. Garc\\'ia","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-01-20T18:55:42Z","title":"Kudla-Millson forms and one-variable degenerations of Hodge structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.08733","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":"sha256:92fd781727a32d6a12060c768180411ac53d18e9dd38680a86fd730bbda0f844","target":"record","created_at":"2026-07-05T05:34:39Z","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":"e567f0b8a571033705949c4f678e7e535eaea04a1d476a12a902d8292cc32ed3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-01-20T18:55:42Z","title_canon_sha256":"1c698202605b39040c963bceaade58501bce782a86d9731c1928d4e7c031b8dc"},"schema_version":"1.0","source":{"id":"2301.08733","kind":"arxiv","version":1}},"canonical_sha256":"b63b39a3787a358ff9775242dc2d5bf4df32ecdd258beefe8a6f36b7cfb8f644","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b63b39a3787a358ff9775242dc2d5bf4df32ecdd258beefe8a6f36b7cfb8f644","first_computed_at":"2026-07-05T05:34:39.528192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:34:39.528192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0ejel3zWI7r2tqUQdWNEF/U7C0/z7EGzjJXO1lfjgCo5WpZur25yElea/dx8kbS2k6gBQMX50DLcnTlnXmqAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:34:39.528632Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.08733","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92fd781727a32d6a12060c768180411ac53d18e9dd38680a86fd730bbda0f844","sha256:999c1c0d8642ce3eaa7fa43d1937561ae9bf96b9b353353e397cc086c5f56dcf"],"state_sha256":"d4b754ceb21d07e2adb64ad69f458ec05d745f557b96846db52acf11f011a397"}