{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZTFA4VF34YQAL4M43YPFWX4LH5","short_pith_number":"pith:ZTFA4VF3","canonical_record":{"source":{"id":"1011.4044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-11-17T20:22:27Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"21014a4bc5fde47e7ff1fa9811b27bef44de895e5b1c2b2152da2573322470bc","abstract_canon_sha256":"035121daf96d747d033ea418af37ada62dc5388f7e6cfa3f506120ca99fcd657"},"schema_version":"1.0"},"canonical_sha256":"ccca0e54bbe62005f19cde1e5b5f8b3f4a63a5816739f5e2c248ef33f46708d6","source":{"kind":"arxiv","id":"1011.4044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4044","created_at":"2026-05-18T04:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4044v1","created_at":"2026-05-18T04:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4044","created_at":"2026-05-18T04:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZTFA4VF34YQA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZTFA4VF34YQAL4M4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZTFA4VF3","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZTFA4VF34YQAL4M43YPFWX4LH5","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-11-17T20:22:27Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"21014a4bc5fde47e7ff1fa9811b27bef44de895e5b1c2b2152da2573322470bc","abstract_canon_sha256":"035121daf96d747d033ea418af37ada62dc5388f7e6cfa3f506120ca99fcd657"},"schema_version":"1.0"},"canonical_sha256":"ccca0e54bbe62005f19cde1e5b5f8b3f4a63a5816739f5e2c248ef33f46708d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:47.154265Z","signature_b64":"wNhoC6vv6ZcvGPO8yHPsJt1godFNcmrJQJ52Alage2cc4PMvyjmqudsyBU3MH3+v5mDrS5NkKRF6EGbx9kfzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccca0e54bbe62005f19cde1e5b5f8b3f4a63a5816739f5e2c248ef33f46708d6","last_reissued_at":"2026-05-18T04:35:47.153808Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:47.153808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4044","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CRnvknxf5xUPvocrDDsEtgaXKt2slEg4m+CpmFHRxUU4xUWlHu8MtA6sNDl3VNFOHDDwExSKKMDTocF2+lbDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:12:09.898342Z"},"content_sha256":"95aacdb7ade8cd2631eede795d0a39fa51bd1fe7ff4cfd4e7fbfbd7a3ac914ad","schema_version":"1.0","event_id":"sha256:95aacdb7ade8cd2631eede795d0a39fa51bd1fe7ff4cfd4e7fbfbd7a3ac914ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZTFA4VF34YQAL4M43YPFWX4LH5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lagrangian Floer theory on compact toric manifolds: survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.SG","authors_text":"Hiroshi Ohta, Kaoru Ono, Kenji Fukaya, Yong-Geun Oh","submitted_at":"2010-11-17T20:22:27Z","abstract_excerpt":"This article is a survey of a series of papers [FOOO3,FOOO4,FOOO5] in which we developed the method of calculation of Floer cohomology of Lagrangian torus orbits in compact toric manifolds, and its applications to symplectic topology and to mirror symmetry. In this article we summarize the main ingredients of calculation and illustrate them by examples. The second half of the survey is devoted to discussion of the most recent result from [FOOO5] (arXiv:1009.1648) where the mirror symmetry between the two Frobenius manifolds arising from the big quantum cohomology and from the K. Saito theory o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4044","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eVk7VzZtTj2HqiCI6aeFR/A8tMLduTpgTF5NX8nGOt/CRHBco4lU0zgFEu5YYwvrTWdCHiT1DR9d02lUvWm+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:12:09.899000Z"},"content_sha256":"75d8ce6f3197a2fcf6f5b77037974ca25b89d442baab50b5f9959b56fa6626a7","schema_version":"1.0","event_id":"sha256:75d8ce6f3197a2fcf6f5b77037974ca25b89d442baab50b5f9959b56fa6626a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZTFA4VF34YQAL4M43YPFWX4LH5/bundle.json","state_url":"https://pith.science/pith/ZTFA4VF34YQAL4M43YPFWX4LH5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZTFA4VF34YQAL4M43YPFWX4LH5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T19:12:09Z","links":{"resolver":"https://pith.science/pith/ZTFA4VF34YQAL4M43YPFWX4LH5","bundle":"https://pith.science/pith/ZTFA4VF34YQAL4M43YPFWX4LH5/bundle.json","state":"https://pith.science/pith/ZTFA4VF34YQAL4M43YPFWX4LH5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZTFA4VF34YQAL4M43YPFWX4LH5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZTFA4VF34YQAL4M43YPFWX4LH5","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":"035121daf96d747d033ea418af37ada62dc5388f7e6cfa3f506120ca99fcd657","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-11-17T20:22:27Z","title_canon_sha256":"21014a4bc5fde47e7ff1fa9811b27bef44de895e5b1c2b2152da2573322470bc"},"schema_version":"1.0","source":{"id":"1011.4044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4044","created_at":"2026-05-18T04:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4044v1","created_at":"2026-05-18T04:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4044","created_at":"2026-05-18T04:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZTFA4VF34YQA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZTFA4VF34YQAL4M4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZTFA4VF3","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:75d8ce6f3197a2fcf6f5b77037974ca25b89d442baab50b5f9959b56fa6626a7","target":"graph","created_at":"2026-05-18T04:35:47Z","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"},"paper":{"abstract_excerpt":"This article is a survey of a series of papers [FOOO3,FOOO4,FOOO5] in which we developed the method of calculation of Floer cohomology of Lagrangian torus orbits in compact toric manifolds, and its applications to symplectic topology and to mirror symmetry. In this article we summarize the main ingredients of calculation and illustrate them by examples. The second half of the survey is devoted to discussion of the most recent result from [FOOO5] (arXiv:1009.1648) where the mirror symmetry between the two Frobenius manifolds arising from the big quantum cohomology and from the K. Saito theory o","authors_text":"Hiroshi Ohta, Kaoru Ono, Kenji Fukaya, Yong-Geun Oh","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-11-17T20:22:27Z","title":"Lagrangian Floer theory on compact toric manifolds: survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4044","kind":"arxiv","version":1},"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":"sha256:95aacdb7ade8cd2631eede795d0a39fa51bd1fe7ff4cfd4e7fbfbd7a3ac914ad","target":"record","created_at":"2026-05-18T04:35:47Z","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":"035121daf96d747d033ea418af37ada62dc5388f7e6cfa3f506120ca99fcd657","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-11-17T20:22:27Z","title_canon_sha256":"21014a4bc5fde47e7ff1fa9811b27bef44de895e5b1c2b2152da2573322470bc"},"schema_version":"1.0","source":{"id":"1011.4044","kind":"arxiv","version":1}},"canonical_sha256":"ccca0e54bbe62005f19cde1e5b5f8b3f4a63a5816739f5e2c248ef33f46708d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccca0e54bbe62005f19cde1e5b5f8b3f4a63a5816739f5e2c248ef33f46708d6","first_computed_at":"2026-05-18T04:35:47.153808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:47.153808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wNhoC6vv6ZcvGPO8yHPsJt1godFNcmrJQJ52Alage2cc4PMvyjmqudsyBU3MH3+v5mDrS5NkKRF6EGbx9kfzAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:47.154265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95aacdb7ade8cd2631eede795d0a39fa51bd1fe7ff4cfd4e7fbfbd7a3ac914ad","sha256:75d8ce6f3197a2fcf6f5b77037974ca25b89d442baab50b5f9959b56fa6626a7"],"state_sha256":"4a243239f8dea2178fb69974daefbc0411dd55846bfc427cd607125305fba550"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6dRLoP7k2NpoiyUDvWJYUipERoSqIgmOYYbuujWoq69myS0X4bmhKPGFXyu7LwCgNq10V2UmAR1qfCn8W9RnCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:12:09.902557Z","bundle_sha256":"7540bbd8d8ebfaa969ddb709a121787009bd3992932281a0114bfda076c10656"}}