{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:FVJ65GPFSY2I7NBDEUUMRG36BX","short_pith_number":"pith:FVJ65GPF","schema_version":"1.0","canonical_sha256":"2d53ee99e596348fb4232528c89b7e0ddee8b556d0ec18fbf29e6b06b0cc4242","source":{"kind":"arxiv","id":"2507.09941","version":1},"attestation_state":"computed","paper":{"title":"Hodge-theoretic Open/Closed Correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Song Yu","submitted_at":"2025-07-14T05:30:47Z","abstract_excerpt":"We continue the B-model development of the open/closed correspondence proposed by Mayr and Lerche-Mayr, complementing the A-model study in the preceding joint works with Liu and providing a Hodge-theoretic perspective. Given a corresponding pair of open geometry on a toric Calabi-Yau 3-orbifold $\\mathcal{X}$ relative to a framed Aganagic-Vafa brane $\\mathcal{L}$ and closed geometry on a toric Calabi-Yau 4-orbifold $\\widetilde{\\mathcal{X}}$, we consider the Hori-Vafa mirrors $\\mathcal{X}^\\vee$ and $\\widetilde{\\mathcal{X}}^\\vee$, where the mirror of $\\mathcal{L}$ can be given by a family of hype"},"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":"2507.09941","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-14T05:30:47Z","cross_cats_sorted":[],"title_canon_sha256":"c59fffea0b1a59072cbd37542b69fc74354d3988f52f029b03b6d68f71c932bb","abstract_canon_sha256":"805d56e0d4ca5b9bba86ba762773f857e651c3d2a2d5cf639c5398e07e9a7035"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:36:42.542728Z","signature_b64":"3CAPg4k1bdgy7LeLzgNvKre+Mwdjf6DM+NnIq3C1sOO8ZJFV5MfWWGhHiVg5qiRA1buLnUZQxcUuBMAs7skCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d53ee99e596348fb4232528c89b7e0ddee8b556d0ec18fbf29e6b06b0cc4242","last_reissued_at":"2026-07-05T11:36:42.542143Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:36:42.542143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hodge-theoretic Open/Closed Correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Song Yu","submitted_at":"2025-07-14T05:30:47Z","abstract_excerpt":"We continue the B-model development of the open/closed correspondence proposed by Mayr and Lerche-Mayr, complementing the A-model study in the preceding joint works with Liu and providing a Hodge-theoretic perspective. Given a corresponding pair of open geometry on a toric Calabi-Yau 3-orbifold $\\mathcal{X}$ relative to a framed Aganagic-Vafa brane $\\mathcal{L}$ and closed geometry on a toric Calabi-Yau 4-orbifold $\\widetilde{\\mathcal{X}}$, we consider the Hori-Vafa mirrors $\\mathcal{X}^\\vee$ and $\\widetilde{\\mathcal{X}}^\\vee$, where the mirror of $\\mathcal{L}$ can be given by a family of hype"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.09941","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/2507.09941/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":"2507.09941","created_at":"2026-07-05T11:36:42.542209+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.09941v1","created_at":"2026-07-05T11:36:42.542209+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.09941","created_at":"2026-07-05T11:36:42.542209+00:00"},{"alias_kind":"pith_short_12","alias_value":"FVJ65GPFSY2I","created_at":"2026-07-05T11:36:42.542209+00:00"},{"alias_kind":"pith_short_16","alias_value":"FVJ65GPFSY2I7NBD","created_at":"2026-07-05T11:36:42.542209+00:00"},{"alias_kind":"pith_short_8","alias_value":"FVJ65GPF","created_at":"2026-07-05T11:36:42.542209+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/FVJ65GPFSY2I7NBDEUUMRG36BX","json":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX.json","graph_json":"https://pith.science/api/pith-number/FVJ65GPFSY2I7NBDEUUMRG36BX/graph.json","events_json":"https://pith.science/api/pith-number/FVJ65GPFSY2I7NBDEUUMRG36BX/events.json","paper":"https://pith.science/paper/FVJ65GPF"},"agent_actions":{"view_html":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX","download_json":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX.json","view_paper":"https://pith.science/paper/FVJ65GPF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.09941&json=true","fetch_graph":"https://pith.science/api/pith-number/FVJ65GPFSY2I7NBDEUUMRG36BX/graph.json","fetch_events":"https://pith.science/api/pith-number/FVJ65GPFSY2I7NBDEUUMRG36BX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX/action/storage_attestation","attest_author":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX/action/author_attestation","sign_citation":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX/action/citation_signature","submit_replication":"https://pith.science/pith/FVJ65GPFSY2I7NBDEUUMRG36BX/action/replication_record"}},"created_at":"2026-07-05T11:36:42.542209+00:00","updated_at":"2026-07-05T11:36:42.542209+00:00"}