{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YBCHORQM7UTHZREEWJS7V65EIH","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":"14a8e16f1de7f60b2815d4bec5241cf10735cb53dda90e6781c0a9e364c9f0c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-12-02T08:23:19Z","title_canon_sha256":"616542667e47ec6742f628cc3c6c3789c6e1a6bbca0d5a6862e5f132564cfb13"},"schema_version":"1.0","source":{"id":"1512.00606","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00606","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00606v2","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00606","created_at":"2026-05-18T00:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"YBCHORQM7UTH","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YBCHORQM7UTHZREE","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YBCHORQM","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:916e09ca18ee2ae3538fe9f5113419a19401f90baed0b546d406a1522309eab2","target":"graph","created_at":"2026-05-18T00:54:20Z","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":"In any contact manifold of dimension $2n-1\\geq 11$, we construct examples of closed legendrian submanifolds which are not diffeomorphic but whose lagrangian cylinders in the symplectization are hamiltonian isotopic.","authors_text":"Sylvain Courte","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-12-02T08:23:19Z","title":"Legendrian submanifolds with hamiltonian isotopic symplectizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00606","kind":"arxiv","version":2},"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:b648190c1c9ae42808e0254fab38ca16f7bb6932967b6ec5edc6323ed8ec763f","target":"record","created_at":"2026-05-18T00:54:20Z","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":"14a8e16f1de7f60b2815d4bec5241cf10735cb53dda90e6781c0a9e364c9f0c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-12-02T08:23:19Z","title_canon_sha256":"616542667e47ec6742f628cc3c6c3789c6e1a6bbca0d5a6862e5f132564cfb13"},"schema_version":"1.0","source":{"id":"1512.00606","kind":"arxiv","version":2}},"canonical_sha256":"c04477460cfd267cc484b265fafba441ea9560c30629e65fbdc531676a1ac454","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c04477460cfd267cc484b265fafba441ea9560c30629e65fbdc531676a1ac454","first_computed_at":"2026-05-18T00:54:20.671614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:20.671614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p60um6wkwgIOga61O7EH6Y+yXl4IGGFfEykCabVaXPsxK4SNL12/DwReo6fxI/KRuL19ckpKrc5Qpk3GHV4HCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:20.671971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00606","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b648190c1c9ae42808e0254fab38ca16f7bb6932967b6ec5edc6323ed8ec763f","sha256:916e09ca18ee2ae3538fe9f5113419a19401f90baed0b546d406a1522309eab2"],"state_sha256":"dd25e2a1076d78f380cc6f5579540401ac1488abf0437333f5b994f145e40f17"}