{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LRHWARFHCZLR3UQNRPNQZZBQZK","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":"cbdeedaf484a3396f654f9b222af9822b805d95ebfeb37e5c348b5f7088309cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-04-21T13:56:51Z","title_canon_sha256":"afe82aaeffdefbe6dd6800af063ef9324bd6880be00efe9f7c430a1f039138c2"},"schema_version":"1.0","source":{"id":"1104.4267","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4267","created_at":"2026-05-18T04:23:44Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4267v1","created_at":"2026-05-18T04:23:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4267","created_at":"2026-05-18T04:23:44Z"},{"alias_kind":"pith_short_12","alias_value":"LRHWARFHCZLR","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LRHWARFHCZLR3UQN","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LRHWARFH","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:9bf0d03128b17bef2f39c37855aa4ca332759f64514759852bc8a020ce230d96","target":"graph","created_at":"2026-05-18T04:23:44Z","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":"There are two purposes of the present article. One is to correct an error in the proof of Theorem 6.1.25 in \\cite{fooo:book}, from which Theorem J \\cite{fooo:book} follows. In the course of doing so, we also obtain a new lower bound of the displacement energy of polydisks in general dimension. The results of the present article are motivated by the recent preprint of Hind \\cite{hind} where the 4 dimensional case is studied. Our proof is different from Hind's even in the 4 dimensional case and provides stronger result, and relies on the study of torsion thresholds of Floer cohomology of Lagrang","authors_text":"Hiroshi Ohta, Kaoru Ono, Kenji Fukaya, Yong-Geun Oh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-04-21T13:56:51Z","title":"Displacement of polydisks and Lagrangian Floer theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4267","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:ad17cd6984f6790015cd402a6e6f92c0a75036148a12d69f601c7604edb99859","target":"record","created_at":"2026-05-18T04:23:44Z","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":"cbdeedaf484a3396f654f9b222af9822b805d95ebfeb37e5c348b5f7088309cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-04-21T13:56:51Z","title_canon_sha256":"afe82aaeffdefbe6dd6800af063ef9324bd6880be00efe9f7c430a1f039138c2"},"schema_version":"1.0","source":{"id":"1104.4267","kind":"arxiv","version":1}},"canonical_sha256":"5c4f6044a716571dd20d8bdb0ce430caa991a34da9cf5672886badbe044112c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c4f6044a716571dd20d8bdb0ce430caa991a34da9cf5672886badbe044112c3","first_computed_at":"2026-05-18T04:23:44.693971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:44.693971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3gWwb5q9Zw7VYknYkm2YmrLPL90v8cKLXo7Nuac/3tEp2WFm0y7egij/6h7bRY3TqHUuUtNP6eZX2tc2wPrWBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:44.694495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4267","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad17cd6984f6790015cd402a6e6f92c0a75036148a12d69f601c7604edb99859","sha256:9bf0d03128b17bef2f39c37855aa4ca332759f64514759852bc8a020ce230d96"],"state_sha256":"d57f08b75a0a544c0b8e5dd4604c07b4aa3f35ad2d0a38305830bf567c35a7db"}