{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CUHCC6X64AP7AJUDJ7JLC7VKTL","short_pith_number":"pith:CUHCC6X6","schema_version":"1.0","canonical_sha256":"150e217afee01ff026834fd2b17eaa9ac5f663b56de51aa735c744376c099b3e","source":{"kind":"arxiv","id":"1708.02919","version":3},"attestation_state":"computed","paper":{"title":"The generalized Franchetta conjecture for some hyper-K\\\"ahler varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Charles Vial, Lie Fu, Mingmin Shen, Robert Laterveer","submitted_at":"2017-08-09T17:24:39Z","abstract_excerpt":"The generalized Franchetta conjecture for hyper-K\\\"ahler varieties predicts that an algebraic cycle on the universal family of certain polarized hyper-K\\\"ahler varieties is fiberwise rationally equivalent to zero if and only if it vanishes in cohomology fiberwise. We establish Franchetta-type results for certain low (Hilbert) powers of low degree K3 surfaces, for the Beauville--Donagi family of Fano varieties of lines on cubic fourfolds and its relative square, and for $0$-cycles and codimension-$2$ cycles for the Lehn--Lehn--Sorger--van Straten family of hyper-K\\\"ahler eightfolds. We also dra"},"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":"1708.02919","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-09T17:24:39Z","cross_cats_sorted":[],"title_canon_sha256":"275764cb30cd7d8e48b72a6319f0e6ea3cf1cbbadd70737d0de6fed9b152c00a","abstract_canon_sha256":"0908bb042f0991c493864e7ae0c5687911b76a03299ea65b87971e84a94df5ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:56.914528Z","signature_b64":"oSV54VQZsIBDkN5rlhFdBxL1aHCMCIjIP8J3uDw0LxkWPr6u1zWztGKNqiE0S32l3UPh2syL5qQgyFHl/7nVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"150e217afee01ff026834fd2b17eaa9ac5f663b56de51aa735c744376c099b3e","last_reissued_at":"2026-05-18T00:03:56.913884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:56.913884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The generalized Franchetta conjecture for some hyper-K\\\"ahler varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Charles Vial, Lie Fu, Mingmin Shen, Robert Laterveer","submitted_at":"2017-08-09T17:24:39Z","abstract_excerpt":"The generalized Franchetta conjecture for hyper-K\\\"ahler varieties predicts that an algebraic cycle on the universal family of certain polarized hyper-K\\\"ahler varieties is fiberwise rationally equivalent to zero if and only if it vanishes in cohomology fiberwise. We establish Franchetta-type results for certain low (Hilbert) powers of low degree K3 surfaces, for the Beauville--Donagi family of Fano varieties of lines on cubic fourfolds and its relative square, and for $0$-cycles and codimension-$2$ cycles for the Lehn--Lehn--Sorger--van Straten family of hyper-K\\\"ahler eightfolds. We also dra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02919","kind":"arxiv","version":3},"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":"1708.02919","created_at":"2026-05-18T00:03:56.913968+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.02919v3","created_at":"2026-05-18T00:03:56.913968+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02919","created_at":"2026-05-18T00:03:56.913968+00:00"},{"alias_kind":"pith_short_12","alias_value":"CUHCC6X64AP7","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CUHCC6X64AP7AJUD","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CUHCC6X6","created_at":"2026-05-18T12:31:10.602751+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/CUHCC6X64AP7AJUDJ7JLC7VKTL","json":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL.json","graph_json":"https://pith.science/api/pith-number/CUHCC6X64AP7AJUDJ7JLC7VKTL/graph.json","events_json":"https://pith.science/api/pith-number/CUHCC6X64AP7AJUDJ7JLC7VKTL/events.json","paper":"https://pith.science/paper/CUHCC6X6"},"agent_actions":{"view_html":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL","download_json":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL.json","view_paper":"https://pith.science/paper/CUHCC6X6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.02919&json=true","fetch_graph":"https://pith.science/api/pith-number/CUHCC6X64AP7AJUDJ7JLC7VKTL/graph.json","fetch_events":"https://pith.science/api/pith-number/CUHCC6X64AP7AJUDJ7JLC7VKTL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL/action/storage_attestation","attest_author":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL/action/author_attestation","sign_citation":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL/action/citation_signature","submit_replication":"https://pith.science/pith/CUHCC6X64AP7AJUDJ7JLC7VKTL/action/replication_record"}},"created_at":"2026-05-18T00:03:56.913968+00:00","updated_at":"2026-05-18T00:03:56.913968+00:00"}