{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1991:Q5V7HC3FBZEDIT3TZIFCKJ45MA","short_pith_number":"pith:Q5V7HC3F","schema_version":"1.0","canonical_sha256":"876bf38b650e48344f73ca0a25279d6027aa90acbf64d8ec81d4f195fb441614","source":{"kind":"arxiv","id":"hep-th/9112056","version":1},"attestation_state":"computed","paper":{"title":"Mirror Manifolds And Topological Field Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Edward Witten","submitted_at":"1991-12-19T20:52:00Z","abstract_excerpt":"These notes are devoted to explaining aspects of the mirror manifold problem that can be naturally understood from the point of view of topological field theory. Basically this involves studying the topological field theories made by twisting $N=2$ sigma models. This is mainly a review of old results, except for the discussion in \\S7 of certain facts that may be relevant to constructing the ``mirror map'' between mirror moduli spaces."},"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":"hep-th/9112056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-12-19T20:52:00Z","cross_cats_sorted":[],"title_canon_sha256":"9fdaa86cee4ba5b59a33c5cb2298c424df505195a31d3e68b56428e2486758ca","abstract_canon_sha256":"1f148083204ffe43013118168669cf89d81a788fc5ce9974f89ccdba298ddf74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:26.069588Z","signature_b64":"Irx3vbBB+DHD3dSA45AtLCTX/TQIOIWzqVSvVFcwhkJ4u9IGBKzoxjenHpQ9EDoFxU2BXcIvrYiRTcaN56LwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"876bf38b650e48344f73ca0a25279d6027aa90acbf64d8ec81d4f195fb441614","last_reissued_at":"2026-07-04T14:32:26.069200Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:26.069200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mirror Manifolds And Topological Field Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Edward Witten","submitted_at":"1991-12-19T20:52:00Z","abstract_excerpt":"These notes are devoted to explaining aspects of the mirror manifold problem that can be naturally understood from the point of view of topological field theory. Basically this involves studying the topological field theories made by twisting $N=2$ sigma models. This is mainly a review of old results, except for the discussion in \\S7 of certain facts that may be relevant to constructing the ``mirror map'' between mirror moduli spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9112056","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/hep-th/9112056/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":"hep-th/9112056","created_at":"2026-07-04T14:32:26.069255+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9112056v1","created_at":"2026-07-04T14:32:26.069255+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9112056","created_at":"2026-07-04T14:32:26.069255+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q5V7HC3FBZED","created_at":"2026-07-04T14:32:26.069255+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q5V7HC3FBZEDIT3T","created_at":"2026-07-04T14:32:26.069255+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q5V7HC3F","created_at":"2026-07-04T14:32:26.069255+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2607.06669","citing_title":"Monodromy defects in Chern-Simons theory and Holography","ref_index":55,"is_internal_anchor":true},{"citing_arxiv_id":"2512.25053","citing_title":"Fluid dynamics as intersection problem","ref_index":52,"is_internal_anchor":true},{"citing_arxiv_id":"2507.23072","citing_title":"Nil-Equivariant Tropological Sigma Models on Filtered Geometries","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2604.03126","citing_title":"Worldsheet Duals to One-Matrix Models","ref_index":35,"is_internal_anchor":true},{"citing_arxiv_id":"2604.23496","citing_title":"Q-Manifolds and Sigma Models","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA","json":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA.json","graph_json":"https://pith.science/api/pith-number/Q5V7HC3FBZEDIT3TZIFCKJ45MA/graph.json","events_json":"https://pith.science/api/pith-number/Q5V7HC3FBZEDIT3TZIFCKJ45MA/events.json","paper":"https://pith.science/paper/Q5V7HC3F"},"agent_actions":{"view_html":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA","download_json":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA.json","view_paper":"https://pith.science/paper/Q5V7HC3F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9112056&json=true","fetch_graph":"https://pith.science/api/pith-number/Q5V7HC3FBZEDIT3TZIFCKJ45MA/graph.json","fetch_events":"https://pith.science/api/pith-number/Q5V7HC3FBZEDIT3TZIFCKJ45MA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA/action/storage_attestation","attest_author":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA/action/author_attestation","sign_citation":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA/action/citation_signature","submit_replication":"https://pith.science/pith/Q5V7HC3FBZEDIT3TZIFCKJ45MA/action/replication_record"}},"created_at":"2026-07-04T14:32:26.069255+00:00","updated_at":"2026-07-04T14:32:26.069255+00:00"}