{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PSZQ35V5V2Z7OEKAB7LADJ22Z3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eac6ab0841925f5b197a65200ab0f6036bd737641e5b5de9094550da03eac3bc","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-10-11T07:07:30Z","title_canon_sha256":"0c8c8f0908e7f56922417ef5792d85431c08477e7a4b6c54063c282593c7229f"},"schema_version":"1.0","source":{"id":"1610.03214","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03214","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03214v4","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03214","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"PSZQ35V5V2Z7","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_16","alias_value":"PSZQ35V5V2Z7OEKA","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_8","alias_value":"PSZQ35V5","created_at":"2026-07-05T01:59:49Z"}],"graph_snapshots":[{"event_id":"sha256:ee11637288c3e1b0c107f0682abbe48ab1006a1258bb0cf520c3a436dd0f00ed","target":"graph","created_at":"2026-07-05T01:59:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1610.03214/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The nonequivariant coherent-costructible correspondence is a microlocal-geometric interpretation of homological mirror symmetry for toric varieties conjectured by Fang-Liu-Treumann-Zaslow. We prove a generalization of this conjecture for a class of toric stacks which includes any toric varieties and toric orbifolds. Our proof is based on gluing descriptions of $\\infty$-categories of both sides.","authors_text":"Tatsuki Kuwagaki","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-10-11T07:07:30Z","title":"The nonequivariant coherent-constructible correspondence for toric stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03214","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5e5c92f7a6891eab501ead41000ef6c51e30e27ec80bfd7792134fd2a7e54305","target":"record","created_at":"2026-07-05T01:59:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eac6ab0841925f5b197a65200ab0f6036bd737641e5b5de9094550da03eac3bc","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-10-11T07:07:30Z","title_canon_sha256":"0c8c8f0908e7f56922417ef5792d85431c08477e7a4b6c54063c282593c7229f"},"schema_version":"1.0","source":{"id":"1610.03214","kind":"arxiv","version":4}},"canonical_sha256":"7cb30df6bdaeb3f711400fd601a75acef0f9a77b8b084fa80699c75f2fe1b02a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cb30df6bdaeb3f711400fd601a75acef0f9a77b8b084fa80699c75f2fe1b02a","first_computed_at":"2026-07-05T01:59:49.127825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:49.127825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TlrgGTdqL3CBMWx0y21TcJ7iVTKa/e3vA44ZeJVJGKmLQ1hWVpNfTGQ4nAytpXgxAOGSuQ/ztmKsEJPoUSAeBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:49.128415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03214","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e5c92f7a6891eab501ead41000ef6c51e30e27ec80bfd7792134fd2a7e54305","sha256:ee11637288c3e1b0c107f0682abbe48ab1006a1258bb0cf520c3a436dd0f00ed"],"state_sha256":"a53e7f8d6de0d60323c63387cb2c65d8d4352e8753e27f5c06450e0543a41e81"}