{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FWIMJ7VEYYJELDF7LFCAG3EETB","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":"d26e55145e5a6f9417ed036376dc10dd7eb3d184a12ed74d13c674e9f485a3c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-07-27T10:21:57Z","title_canon_sha256":"10ba843608d600bafdd35a758c25847bee9fd7f9863a5bffb9472f7b312e0865"},"schema_version":"1.0","source":{"id":"2207.13432","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.13432","created_at":"2026-05-20T14:03:15Z"},{"alias_kind":"arxiv_version","alias_value":"2207.13432v3","created_at":"2026-05-20T14:03:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.13432","created_at":"2026-05-20T14:03:15Z"},{"alias_kind":"pith_short_12","alias_value":"FWIMJ7VEYYJE","created_at":"2026-05-20T14:03:15Z"},{"alias_kind":"pith_short_16","alias_value":"FWIMJ7VEYYJELDF7","created_at":"2026-05-20T14:03:15Z"},{"alias_kind":"pith_short_8","alias_value":"FWIMJ7VE","created_at":"2026-05-20T14:03:15Z"}],"graph_snapshots":[{"event_id":"sha256:d2d75a584a04adfd6dd49d512d645f123b8f0a18be141632b96ebe266f28b678","target":"graph","created_at":"2026-05-20T14:03:15Z","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/2207.13432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the second fundamental form of the Siegel metric in $\\mathcal A_5$ restricted to the locus of intermediate Jacobians of cubic threefolds. We prove that the image of this second fundamental form, which is known to be non-trivial, is contained in the kernel of a suitable multiplication map. Some ingredients are: the conic bundle structure of cubic threefolds, Prym theory, Gaussian maps and Jacobian ideals.","authors_text":"Elisabetta Colombo, Gian Pietro Pirola, Juan Carlos Naranjo, Paola Frediani","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-07-27T10:21:57Z","title":"The second fundamental form of the moduli space of cubic threefolds in $\\mathcal A_5$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.13432","kind":"arxiv","version":3},"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":"sha256:811fd2f431b7e9f4c7d8327c80863b2a15aef035f918ba0eb4aa7379a60d0eb4","target":"record","created_at":"2026-05-20T14:03:15Z","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":"d26e55145e5a6f9417ed036376dc10dd7eb3d184a12ed74d13c674e9f485a3c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2022-07-27T10:21:57Z","title_canon_sha256":"10ba843608d600bafdd35a758c25847bee9fd7f9863a5bffb9472f7b312e0865"},"schema_version":"1.0","source":{"id":"2207.13432","kind":"arxiv","version":3}},"canonical_sha256":"2d90c4fea4c612458cbf5944036c84985021823f616b62cc06a3fb360ed97ef5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d90c4fea4c612458cbf5944036c84985021823f616b62cc06a3fb360ed97ef5","first_computed_at":"2026-05-20T14:03:15.883908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:15.883908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fNSF39Ez8f6UYHAjGTUWrKbO001na3+q0zfPtRp7/UdhEJunqgKygqnZmI0G+3S6qsAIA17Qre9vJshCEyV7BA==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:15.884536Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.13432","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:811fd2f431b7e9f4c7d8327c80863b2a15aef035f918ba0eb4aa7379a60d0eb4","sha256:d2d75a584a04adfd6dd49d512d645f123b8f0a18be141632b96ebe266f28b678"],"state_sha256":"b7e4d990e7c48902b3e2e7a8d1aaf6a514820f476a4371d2cc8cda7a4d43fd06"}