{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:DY2VNB4EHJQU3BWBR2HS5KWJ47","short_pith_number":"pith:DY2VNB4E","schema_version":"1.0","canonical_sha256":"1e355687843a614d86c18e8f2eaac9e7fea8443083adc339a6c60d4dcbc76547","source":{"kind":"arxiv","id":"math/0507451","version":1},"attestation_state":"computed","paper":{"title":"Algebraic cycles and the classical groups II: Quaternionic cycles","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"H Blaine Lawson Jr, Marie-Louise Michelsohn, Paulo Lima-Filho","submitted_at":"2005-07-21T20:26:48Z","abstract_excerpt":"In part I of this work we studied the spaces of real algebraic cycles on a complex projective space P(V), where V carries a real structure, and completely determined their homotopy type. We also extended some functors in K-theory to algebraic cycles, establishing a direct relationship to characteristic classes for the classical groups, specially Stiefel-Whitney classes. In this sequel, we establish corresponding results in the case where V has a quaternionic structure. The determination of the homotopy type of quaternionic algebraic cycles is more involved than in the real case, but has a simi"},"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":"math/0507451","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AT","submitted_at":"2005-07-21T20:26:48Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2929f390dac62b62d765a13899558aaf8acc8aa804c54d7b3c4e5e13cc8d65d4","abstract_canon_sha256":"8986df06e463b29568abc399f2290e1eb820ecd4c1c976d6087b3626c4fe58c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:59.748949Z","signature_b64":"KBhvMCrB0eGx8UNsuWDIJRnk08i900xhjSc6UBjuc6dDFPd7Kf2jXRiVnoX4Cp97gtbd+ZgDs1VGTsOXH5ImCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e355687843a614d86c18e8f2eaac9e7fea8443083adc339a6c60d4dcbc76547","last_reissued_at":"2026-05-18T02:37:59.748414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:59.748414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic cycles and the classical groups II: Quaternionic cycles","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"H Blaine Lawson Jr, Marie-Louise Michelsohn, Paulo Lima-Filho","submitted_at":"2005-07-21T20:26:48Z","abstract_excerpt":"In part I of this work we studied the spaces of real algebraic cycles on a complex projective space P(V), where V carries a real structure, and completely determined their homotopy type. We also extended some functors in K-theory to algebraic cycles, establishing a direct relationship to characteristic classes for the classical groups, specially Stiefel-Whitney classes. In this sequel, we establish corresponding results in the case where V has a quaternionic structure. The determination of the homotopy type of quaternionic algebraic cycles is more involved than in the real case, but has a simi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0507451","kind":"arxiv","version":1},"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":"math/0507451","created_at":"2026-05-18T02:37:59.748493+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0507451v1","created_at":"2026-05-18T02:37:59.748493+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0507451","created_at":"2026-05-18T02:37:59.748493+00:00"},{"alias_kind":"pith_short_12","alias_value":"DY2VNB4EHJQU","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"DY2VNB4EHJQU3BWB","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"DY2VNB4E","created_at":"2026-05-18T12:25:53.335082+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/DY2VNB4EHJQU3BWBR2HS5KWJ47","json":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47.json","graph_json":"https://pith.science/api/pith-number/DY2VNB4EHJQU3BWBR2HS5KWJ47/graph.json","events_json":"https://pith.science/api/pith-number/DY2VNB4EHJQU3BWBR2HS5KWJ47/events.json","paper":"https://pith.science/paper/DY2VNB4E"},"agent_actions":{"view_html":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47","download_json":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47.json","view_paper":"https://pith.science/paper/DY2VNB4E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0507451&json=true","fetch_graph":"https://pith.science/api/pith-number/DY2VNB4EHJQU3BWBR2HS5KWJ47/graph.json","fetch_events":"https://pith.science/api/pith-number/DY2VNB4EHJQU3BWBR2HS5KWJ47/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47/action/storage_attestation","attest_author":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47/action/author_attestation","sign_citation":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47/action/citation_signature","submit_replication":"https://pith.science/pith/DY2VNB4EHJQU3BWBR2HS5KWJ47/action/replication_record"}},"created_at":"2026-05-18T02:37:59.748493+00:00","updated_at":"2026-05-18T02:37:59.748493+00:00"}