{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:4HHYVSK6KNHPM4LVXIUMAFSJWC","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":"6ac91b1fa606b9fd22e72e39ab1c74485387e01a637b5b65ea85bea701bdf71f","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-02-23T02:25:45Z","title_canon_sha256":"5512a53e60a74f983b3c6b72f9b2f81d55c942a43e83316c1c191cd8bfb6e42b"},"schema_version":"1.0","source":{"id":"math/0602517","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0602517","created_at":"2026-07-04T14:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"math/0602517v1","created_at":"2026-07-04T14:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0602517","created_at":"2026-07-04T14:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"4HHYVSK6KNHP","created_at":"2026-07-04T14:53:25Z"},{"alias_kind":"pith_short_16","alias_value":"4HHYVSK6KNHPM4LV","created_at":"2026-07-04T14:53:25Z"},{"alias_kind":"pith_short_8","alias_value":"4HHYVSK6","created_at":"2026-07-04T14:53:25Z"}],"graph_snapshots":[{"event_id":"sha256:67c526b3b63d0efcf3925df7954d8c79d941b2c40d02ace7409391bd3fa65199","target":"graph","created_at":"2026-07-04T14:53:25Z","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/math/0602517/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct rational projective 4-dimensional varieties with the property that certain Lawson homology groups tensored with Q are infinite dimensional Q-vector spaces. More generally, each pair of integers p and k, with k\\geq 0, p>0, we find a projective variety Y, such that L_pH_{2p+k}(Y) is infinitely generated. We also construct two singular rational projective 3-dimensional varieties Y and Y' with the same homeomorphism type but different Lawson homology groups, specifically L_1H_3(Y) is not isomorphic to L_1H_3(Y')even up to torsion.","authors_text":"Wenchuan Hu","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-02-23T02:25:45Z","title":"Infinitely generated Lawson homology groups on some rational projective varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0602517","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":"sha256:665b7260b84032f3f3d8d109bf215e9da36fac21b7bb4d48a5833d84ef0911e5","target":"record","created_at":"2026-07-04T14:53:25Z","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":"6ac91b1fa606b9fd22e72e39ab1c74485387e01a637b5b65ea85bea701bdf71f","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-02-23T02:25:45Z","title_canon_sha256":"5512a53e60a74f983b3c6b72f9b2f81d55c942a43e83316c1c191cd8bfb6e42b"},"schema_version":"1.0","source":{"id":"math/0602517","kind":"arxiv","version":1}},"canonical_sha256":"e1cf8ac95e534ef67175ba28c01649b092c5e8a76e2d6124b74a5e1d6c2312d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1cf8ac95e534ef67175ba28c01649b092c5e8a76e2d6124b74a5e1d6c2312d0","first_computed_at":"2026-07-04T14:53:25.959306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:53:25.959306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G/mL544Eiwc2T5cdtQQ7ZPoXJAKg01h1t3L6U5DmjSEfGJzXlGk5dCZynHaxJgeNll1AFCKed91OMUMHasWRCg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:53:25.959685Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0602517","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:665b7260b84032f3f3d8d109bf215e9da36fac21b7bb4d48a5833d84ef0911e5","sha256:67c526b3b63d0efcf3925df7954d8c79d941b2c40d02ace7409391bd3fa65199"],"state_sha256":"37ed10008730143ac0b824bca9511d0375c479e1da7a59adf6dcd70e71405eb0"}