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If $X$ and $Y$ are {\\it Fourier -Mukai partners} and hence the categories $\\sA_X$ and $\\sA_Y$ are equivalent, then their transcendental motives $t(X)$ and $t(Y)$ are isomorphic. The aim of this note is to consider families of special cubic fourfolds $X$ with their FM-partners $Y$ and to give an explicit description of the isomorphism between the transcendental motive"},"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":"2605.14763","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-05-14T12:26:10Z","cross_cats_sorted":[],"title_canon_sha256":"eeb6669d316f4d35295db320e67f4d0662204c246a26bb11e95fa28a78c86d6e","abstract_canon_sha256":"29fc5b1821ad1383d3526b0c122522149318f04d3281d67e578270ce741b2d44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:38:58.727362Z","signature_b64":"ye41d5vuoG3pVSlm/PXbb/2dCXMA1LrziUprDZY8BiAvWhyd58rgO+NNsXr8ek0GnZfb9INkcYPQQ+kjFkjvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25c0e68bf10901a8fb7fd4a1716ea830cdaabaf520d9227b53322b2075c356eb","last_reissued_at":"2026-05-17T23:38:58.726792Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:38:58.726792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kuznetsov components ans transcendental motives of cubic fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Claudio Pedrini","submitted_at":"2026-05-14T12:26:10Z","abstract_excerpt":"Let $X \\subset \\P^5_{\\C}$ be a smooth cubic fourfold.The Kuznetsov component $\\sA_X$ is contained in the derived category $D^b(X)$ and the transcendental motive $t(X)$ is contained in the category of Chow motives $\\sM_{rat}(\\C))$. If $X$ and $Y$ are {\\it Fourier -Mukai partners} and hence the categories $\\sA_X$ and $\\sA_Y$ are equivalent, then their transcendental motives $t(X)$ and $t(Y)$ are isomorphic. The aim of this note is to consider families of special cubic fourfolds $X$ with their FM-partners $Y$ and to give an explicit description of the isomorphism between the transcendental motive"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.14763","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":"2605.14763","created_at":"2026-05-17T23:38:58.726884+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.14763v1","created_at":"2026-05-17T23:38:58.726884+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14763","created_at":"2026-05-17T23:38:58.726884+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXAONC7RBEA2","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXAONC7RBEA2R637","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXAONC7R","created_at":"2026-05-18T12:33:37.589309+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/EXAONC7RBEA2R6372SQXC3VIGD","json":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD.json","graph_json":"https://pith.science/api/pith-number/EXAONC7RBEA2R6372SQXC3VIGD/graph.json","events_json":"https://pith.science/api/pith-number/EXAONC7RBEA2R6372SQXC3VIGD/events.json","paper":"https://pith.science/paper/EXAONC7R"},"agent_actions":{"view_html":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD","download_json":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD.json","view_paper":"https://pith.science/paper/EXAONC7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.14763&json=true","fetch_graph":"https://pith.science/api/pith-number/EXAONC7RBEA2R6372SQXC3VIGD/graph.json","fetch_events":"https://pith.science/api/pith-number/EXAONC7RBEA2R6372SQXC3VIGD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD/action/storage_attestation","attest_author":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD/action/author_attestation","sign_citation":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD/action/citation_signature","submit_replication":"https://pith.science/pith/EXAONC7RBEA2R6372SQXC3VIGD/action/replication_record"}},"created_at":"2026-05-17T23:38:58.726884+00:00","updated_at":"2026-05-17T23:38:58.726884+00:00"}