{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TR4PYPXUXSW3HBCQKI2MQRCLGA","short_pith_number":"pith:TR4PYPXU","schema_version":"1.0","canonical_sha256":"9c78fc3ef4bcadb384505234c8444b3020a8ead965b06d4e0adbe58402d53102","source":{"kind":"arxiv","id":"1304.0937","version":2},"attestation_state":"computed","paper":{"title":"Quintic periods and stability conditions via homological mirror symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CA","math.CT","math.SG"],"primary_cat":"math.AG","authors_text":"So Okada","submitted_at":"2013-04-03T12:40:39Z","abstract_excerpt":"For the Fermat Calabi-Yau threefold and the theory of stability conditions [Bri07], there have been two mathematical aims given by physical reasoning. One is that we should define stability conditions by central charges of quintic periods [Hos04,Kon12,KonSoi13], which extend the Gamma class [KKP,Iri09,Iri11]. The other is that for well-motivated stability conditions on a derived Fukaya-type category, each stable object should be a Lagrangian [ThoYau].\n  We answer affirmatively to these aims with the simplest homological mirror symmetry (HMS for short) of the Fermat Calabi-Yau threefold [Oka09,"},"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":"1304.0937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-03T12:40:39Z","cross_cats_sorted":["hep-th","math.CA","math.CT","math.SG"],"title_canon_sha256":"33bdb0089ac0cd502cf4058045da2623185f9d79846d10e48e620b0808846fa3","abstract_canon_sha256":"cb86723bdee4b2c9e6033c169524f6cb13bdeba08c34c809cde28d901af37d98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:43.309742Z","signature_b64":"tCV+GTd+ZR9HBefM2l72W3DD4KpuVeqmct7Md9YSuIxPqcWmVXFgutYv7zQlJsrqPd/4TPkljPkLjQG29r9jBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c78fc3ef4bcadb384505234c8444b3020a8ead965b06d4e0adbe58402d53102","last_reissued_at":"2026-05-18T03:15:43.308972Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:43.308972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quintic periods and stability conditions via homological mirror symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CA","math.CT","math.SG"],"primary_cat":"math.AG","authors_text":"So Okada","submitted_at":"2013-04-03T12:40:39Z","abstract_excerpt":"For the Fermat Calabi-Yau threefold and the theory of stability conditions [Bri07], there have been two mathematical aims given by physical reasoning. One is that we should define stability conditions by central charges of quintic periods [Hos04,Kon12,KonSoi13], which extend the Gamma class [KKP,Iri09,Iri11]. The other is that for well-motivated stability conditions on a derived Fukaya-type category, each stable object should be a Lagrangian [ThoYau].\n  We answer affirmatively to these aims with the simplest homological mirror symmetry (HMS for short) of the Fermat Calabi-Yau threefold [Oka09,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0937","kind":"arxiv","version":2},"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":"1304.0937","created_at":"2026-05-18T03:15:43.309101+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0937v2","created_at":"2026-05-18T03:15:43.309101+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0937","created_at":"2026-05-18T03:15:43.309101+00:00"},{"alias_kind":"pith_short_12","alias_value":"TR4PYPXUXSW3","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TR4PYPXUXSW3HBCQ","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TR4PYPXU","created_at":"2026-05-18T12:28:02.375192+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/TR4PYPXUXSW3HBCQKI2MQRCLGA","json":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA.json","graph_json":"https://pith.science/api/pith-number/TR4PYPXUXSW3HBCQKI2MQRCLGA/graph.json","events_json":"https://pith.science/api/pith-number/TR4PYPXUXSW3HBCQKI2MQRCLGA/events.json","paper":"https://pith.science/paper/TR4PYPXU"},"agent_actions":{"view_html":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA","download_json":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA.json","view_paper":"https://pith.science/paper/TR4PYPXU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0937&json=true","fetch_graph":"https://pith.science/api/pith-number/TR4PYPXUXSW3HBCQKI2MQRCLGA/graph.json","fetch_events":"https://pith.science/api/pith-number/TR4PYPXUXSW3HBCQKI2MQRCLGA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA/action/storage_attestation","attest_author":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA/action/author_attestation","sign_citation":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA/action/citation_signature","submit_replication":"https://pith.science/pith/TR4PYPXUXSW3HBCQKI2MQRCLGA/action/replication_record"}},"created_at":"2026-05-18T03:15:43.309101+00:00","updated_at":"2026-05-18T03:15:43.309101+00:00"}