{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:6OUCEDLEGOQ44XARZTRNZLSETX","short_pith_number":"pith:6OUCEDLE","schema_version":"1.0","canonical_sha256":"f3a8220d6433a1ce5c11cce2dcae449de9256f0880e2a8cf11e95adc3f2e70a6","source":{"kind":"arxiv","id":"2608.13403","version":1},"attestation_state":"computed","paper":{"title":"Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Moritz Hartlieb, Saket Shah","submitted_at":"2026-08-13T16:00:49Z","abstract_excerpt":"Following ideas of Kapustka-Kapustka, we use Lagrangian fibrations to construct twisted hyperholomorphic sheaves on products of hyperk\\\"ahler manifolds of K3$^{[n]}$- and OG10-type. As applications, we prove the Lefschetz standard conjecture and the D-equivalence conjecture for hyperk\\\"ahler manifolds of OG10-type."},"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":"2608.13403","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-08-13T16:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"c2506987edfdefb9070d523098a2691e67e78c9e5b02c717f4fa9865af5dfad6","abstract_canon_sha256":"ed147546e320b6b8c28475c680eb0cbfa0864076692871c75fa2406e389a892a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-14T01:04:22.224961Z","signature_b64":"W3IJF+wGmEyxNAyHQnsi4WvN7gr2XWktHmYBQPQtU4f9MwkWP5IckGAgAv6b7REBBkTczQxDyTLSF52GsK3CDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3a8220d6433a1ce5c11cce2dcae449de9256f0880e2a8cf11e95adc3f2e70a6","last_reissued_at":"2026-08-14T01:04:22.223019Z","signature_status":"signed_v1","first_computed_at":"2026-08-14T01:04:22.223019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Moritz Hartlieb, Saket Shah","submitted_at":"2026-08-13T16:00:49Z","abstract_excerpt":"Following ideas of Kapustka-Kapustka, we use Lagrangian fibrations to construct twisted hyperholomorphic sheaves on products of hyperk\\\"ahler manifolds of K3$^{[n]}$- and OG10-type. As applications, we prove the Lefschetz standard conjecture and the D-equivalence conjecture for hyperk\\\"ahler manifolds of OG10-type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.13403","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.13403/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2608.13403","created_at":"2026-08-14T01:04:22.224030+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.13403v1","created_at":"2026-08-14T01:04:22.224030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.13403","created_at":"2026-08-14T01:04:22.224030+00:00"},{"alias_kind":"pith_short_12","alias_value":"6OUCEDLEGOQ4","created_at":"2026-08-14T01:04:22.224030+00:00"},{"alias_kind":"pith_short_16","alias_value":"6OUCEDLEGOQ44XAR","created_at":"2026-08-14T01:04:22.224030+00:00"},{"alias_kind":"pith_short_8","alias_value":"6OUCEDLE","created_at":"2026-08-14T01:04:22.224030+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/6OUCEDLEGOQ44XARZTRNZLSETX","json":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX.json","graph_json":"https://pith.science/api/pith-number/6OUCEDLEGOQ44XARZTRNZLSETX/graph.json","events_json":"https://pith.science/api/pith-number/6OUCEDLEGOQ44XARZTRNZLSETX/events.json","paper":"https://pith.science/paper/6OUCEDLE"},"agent_actions":{"view_html":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX","download_json":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX.json","view_paper":"https://pith.science/paper/6OUCEDLE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.13403&json=true","fetch_graph":"https://pith.science/api/pith-number/6OUCEDLEGOQ44XARZTRNZLSETX/graph.json","fetch_events":"https://pith.science/api/pith-number/6OUCEDLEGOQ44XARZTRNZLSETX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX/action/storage_attestation","attest_author":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX/action/author_attestation","sign_citation":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX/action/citation_signature","submit_replication":"https://pith.science/pith/6OUCEDLEGOQ44XARZTRNZLSETX/action/replication_record"}},"created_at":"2026-08-14T01:04:22.224030+00:00","updated_at":"2026-08-14T01:04:22.224030+00:00"}