{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LUIW4XWDIRPWDKTLCJ3J6TA5UI","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":"df67fc0fed643d81d7fb64ef38b110956feec54113404f5bfbe1993ef7b410b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T12:52:55Z","title_canon_sha256":"b2c0fe217c475e82aa55c326061ccd58d8c2c5368a3f331494a9e7bd24a84988"},"schema_version":"1.0","source":{"id":"1511.00891","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00891","created_at":"2026-05-17T23:42:03Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00891v3","created_at":"2026-05-17T23:42:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00891","created_at":"2026-05-17T23:42:03Z"},{"alias_kind":"pith_short_12","alias_value":"LUIW4XWDIRPW","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LUIW4XWDIRPWDKTL","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LUIW4XWD","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:1daf4f60a02d47428fe5d48f13e44358fdcde9d5265905c257db27622d41425e","target":"graph","created_at":"2026-05-17T23:42:03Z","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":"We introduce a new version of Floer theory of a non-monotone Lagrangian submanifold which only uses least area holomorphic disks with boundary on it. We use this theory to prove non-displaceability theorems about continuous families of Lagrangian tori in the complex projective plane and other del Pezzo surfaces.","authors_text":"Dmitry Tonkonog, Renato Vianna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T12:52:55Z","title":"Low-area Floer theory and non-displaceability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00891","kind":"arxiv","version":3},"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:be20ea9cb7e6f292bce61ef358c317a1026dc2847019025b9fb2174c546e3170","target":"record","created_at":"2026-05-17T23:42:03Z","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":"df67fc0fed643d81d7fb64ef38b110956feec54113404f5bfbe1993ef7b410b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-11-03T12:52:55Z","title_canon_sha256":"b2c0fe217c475e82aa55c326061ccd58d8c2c5368a3f331494a9e7bd24a84988"},"schema_version":"1.0","source":{"id":"1511.00891","kind":"arxiv","version":3}},"canonical_sha256":"5d116e5ec3445f61aa6b12769f4c1da20cac31012299ff9768a17189c8eb3efa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d116e5ec3445f61aa6b12769f4c1da20cac31012299ff9768a17189c8eb3efa","first_computed_at":"2026-05-17T23:42:03.549339Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:03.549339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DGM25SQ3or+MQmCqhM3dWNUHBO8aCtzZyoQ+VvbrfjDQ/O+RUaqmRWpA947ntZebPmPacp/cI2NrdxGFMtOMDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:03.549877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00891","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be20ea9cb7e6f292bce61ef358c317a1026dc2847019025b9fb2174c546e3170","sha256:1daf4f60a02d47428fe5d48f13e44358fdcde9d5265905c257db27622d41425e"],"state_sha256":"1f04d27a9a726e43e3f742d3e68638654b885600d41e8290604bd8bd224f6327"}