{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:67ZMZYBPILSCXK2YSS5Z2SDBHX","short_pith_number":"pith:67ZMZYBP","schema_version":"1.0","canonical_sha256":"f7f2cce02f42e42bab5894bb9d48613dd2862d4aa2ee8540291770fdeaa2a741","source":{"kind":"arxiv","id":"2512.13269","version":4},"attestation_state":"computed","paper":{"title":"EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shizhuo Zhang, Ziqi Liu","submitted_at":"2025-12-15T12:28:47Z","abstract_excerpt":"We show that the double dual EPW sextic associated with a strongly smooth Gushel-Mukai surface can be realized as a moduli space of semistable objects on its bounded derived category. Also, we observe that the double dual EPW surface associated with a special Gushel--Mukai threefold can be realized as a moduli space of semistable objects on its Kuznetsov component. Then we discuss extensions of our main results to double EPW sextics and double EPW surfaces and a refinement of a statement of Bayer and Perry about Gushel-Mukai threefolds with equivalent Kuznetsov components, under a mild assumpt"},"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":"2512.13269","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-12-15T12:28:47Z","cross_cats_sorted":[],"title_canon_sha256":"4f1b615d472cdfe1701a5943a4cdfc94cea32639dd78f82ecd5f61c974555272","abstract_canon_sha256":"2671cfacae2f2a482bf3eb946ec0f5db62d9ec23aef83156c3d7ad2511f5bfcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:01.310157Z","signature_b64":"SJhc3HCNgIPsRlVfSDpBoFatxqowPI4450CmyzhgGF2KFK1xUdjVFnFBF17Ur3dD/cf8c8fkxFHkkZrdLehXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7f2cce02f42e42bab5894bb9d48613dd2862d4aa2ee8540291770fdeaa2a741","last_reissued_at":"2026-05-26T02:04:01.309202Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:01.309202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shizhuo Zhang, Ziqi Liu","submitted_at":"2025-12-15T12:28:47Z","abstract_excerpt":"We show that the double dual EPW sextic associated with a strongly smooth Gushel-Mukai surface can be realized as a moduli space of semistable objects on its bounded derived category. Also, we observe that the double dual EPW surface associated with a special Gushel--Mukai threefold can be realized as a moduli space of semistable objects on its Kuznetsov component. Then we discuss extensions of our main results to double EPW sextics and double EPW surfaces and a refinement of a statement of Bayer and Perry about Gushel-Mukai threefolds with equivalent Kuznetsov components, under a mild assumpt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.13269","kind":"arxiv","version":4},"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/2512.13269/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":"2512.13269","created_at":"2026-05-26T02:04:01.309342+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.13269v4","created_at":"2026-05-26T02:04:01.309342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.13269","created_at":"2026-05-26T02:04:01.309342+00:00"},{"alias_kind":"pith_short_12","alias_value":"67ZMZYBPILSC","created_at":"2026-05-26T02:04:01.309342+00:00"},{"alias_kind":"pith_short_16","alias_value":"67ZMZYBPILSCXK2Y","created_at":"2026-05-26T02:04:01.309342+00:00"},{"alias_kind":"pith_short_8","alias_value":"67ZMZYBP","created_at":"2026-05-26T02:04:01.309342+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/67ZMZYBPILSCXK2YSS5Z2SDBHX","json":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX.json","graph_json":"https://pith.science/api/pith-number/67ZMZYBPILSCXK2YSS5Z2SDBHX/graph.json","events_json":"https://pith.science/api/pith-number/67ZMZYBPILSCXK2YSS5Z2SDBHX/events.json","paper":"https://pith.science/paper/67ZMZYBP"},"agent_actions":{"view_html":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX","download_json":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX.json","view_paper":"https://pith.science/paper/67ZMZYBP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.13269&json=true","fetch_graph":"https://pith.science/api/pith-number/67ZMZYBPILSCXK2YSS5Z2SDBHX/graph.json","fetch_events":"https://pith.science/api/pith-number/67ZMZYBPILSCXK2YSS5Z2SDBHX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX/action/storage_attestation","attest_author":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX/action/author_attestation","sign_citation":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX/action/citation_signature","submit_replication":"https://pith.science/pith/67ZMZYBPILSCXK2YSS5Z2SDBHX/action/replication_record"}},"created_at":"2026-05-26T02:04:01.309342+00:00","updated_at":"2026-05-26T02:04:01.309342+00:00"}