{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:JVG66H4YVSPPCQDMUYDSMO6DI6","short_pith_number":"pith:JVG66H4Y","schema_version":"1.0","canonical_sha256":"4d4def1f98ac9ef1406ca607263bc3478d03a605cf377097adeb06c80651085a","source":{"kind":"arxiv","id":"2108.08934","version":3},"attestation_state":"computed","paper":{"title":"Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shengxuan Liu","submitted_at":"2021-08-19T22:28:50Z","abstract_excerpt":"In this paper, we prove a Clifford type inequality for the curve $X_{2,2,2,4}$, which is the intersection of a quartic and three general quadratics in $\\mathbb{P}^5$. We thus prove a stronger Bogomolov-Gieseker inequality for characters of stable vector bundles and stable objects on $X_{2,4}$. Applying the scheme proposed by Bayer, Bertram, Macr\\`i, Stellari and Toda, we can construct an open subset of Bridgeland stability conditions on $X_{2,4}$."},"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":"2108.08934","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-08-19T22:28:50Z","cross_cats_sorted":[],"title_canon_sha256":"183ebd34690a4c67c5342f23fbc301dba4fad2b3099c8cc319b2ce6113a8c80b","abstract_canon_sha256":"818c5803afac8f2afe5d9a39d8b0bacec0c47f295f50864a029225cc6998a463"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:11:34.788392Z","signature_b64":"NVeVDrijsAzs2a3cQJHV8ejSpC3MZ2j1n6pKb4wKU2BAFlhKa/hNXpaGGurkRRs26Aq3P32g3JtKfzuLlpisDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d4def1f98ac9ef1406ca607263bc3478d03a605cf377097adeb06c80651085a","last_reissued_at":"2026-07-05T05:11:34.788006Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:11:34.788006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shengxuan Liu","submitted_at":"2021-08-19T22:28:50Z","abstract_excerpt":"In this paper, we prove a Clifford type inequality for the curve $X_{2,2,2,4}$, which is the intersection of a quartic and three general quadratics in $\\mathbb{P}^5$. We thus prove a stronger Bogomolov-Gieseker inequality for characters of stable vector bundles and stable objects on $X_{2,4}$. Applying the scheme proposed by Bayer, Bertram, Macr\\`i, Stellari and Toda, we can construct an open subset of Bridgeland stability conditions on $X_{2,4}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.08934","kind":"arxiv","version":3},"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/2108.08934/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":"2108.08934","created_at":"2026-07-05T05:11:34.788062+00:00"},{"alias_kind":"arxiv_version","alias_value":"2108.08934v3","created_at":"2026-07-05T05:11:34.788062+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.08934","created_at":"2026-07-05T05:11:34.788062+00:00"},{"alias_kind":"pith_short_12","alias_value":"JVG66H4YVSPP","created_at":"2026-07-05T05:11:34.788062+00:00"},{"alias_kind":"pith_short_16","alias_value":"JVG66H4YVSPPCQDM","created_at":"2026-07-05T05:11:34.788062+00:00"},{"alias_kind":"pith_short_8","alias_value":"JVG66H4Y","created_at":"2026-07-05T05:11:34.788062+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.19552","citing_title":"Large Order Enumerative Geometry, Black Holes and Black Rings","ref_index":63,"is_internal_anchor":false},{"citing_arxiv_id":"2605.19552","citing_title":"Large Order Enumerative Geometry, Black Holes and Black Rings","ref_index":63,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6","json":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6.json","graph_json":"https://pith.science/api/pith-number/JVG66H4YVSPPCQDMUYDSMO6DI6/graph.json","events_json":"https://pith.science/api/pith-number/JVG66H4YVSPPCQDMUYDSMO6DI6/events.json","paper":"https://pith.science/paper/JVG66H4Y"},"agent_actions":{"view_html":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6","download_json":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6.json","view_paper":"https://pith.science/paper/JVG66H4Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2108.08934&json=true","fetch_graph":"https://pith.science/api/pith-number/JVG66H4YVSPPCQDMUYDSMO6DI6/graph.json","fetch_events":"https://pith.science/api/pith-number/JVG66H4YVSPPCQDMUYDSMO6DI6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6/action/storage_attestation","attest_author":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6/action/author_attestation","sign_citation":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6/action/citation_signature","submit_replication":"https://pith.science/pith/JVG66H4YVSPPCQDMUYDSMO6DI6/action/replication_record"}},"created_at":"2026-07-05T05:11:34.788062+00:00","updated_at":"2026-07-05T05:11:34.788062+00:00"}