{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ARZSPNPXK3FYGZLRF5MCZ3D27Q","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":"9d35dd23366ed57a65247ff4f83596efc420d8316848fcce13c8f5de1b13d26e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-02-08T14:00:31Z","title_canon_sha256":"99ce11b3dccc589388b2e86b4b1ff4d5bd662868b7b9470d003640846382cd02"},"schema_version":"1.0","source":{"id":"1802.02858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02858","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02858v1","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02858","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"ARZSPNPXK3FY","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ARZSPNPXK3FYGZLR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ARZSPNPX","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:3516e934075c48b453e7eed889e307a528aa9297efcd13aa0ad9c477175a08fa","target":"graph","created_at":"2026-05-18T00:24:02Z","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 study the dynamics of a symplectic twist map without conjugate points. We show that in a neighborhood of a totally periodic Lagrangian manifold, there exists a large family of invariant Lagrangian tori on which the twist map is conjugated to a translation of non-resonant vector.","authors_text":"Marc Arcostanzo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-02-08T14:00:31Z","title":"Non-resonant tori in symplectic twist maps without conjugate points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02858","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":"sha256:57d49636c96fb35ab49755e403f2d4991b4ad048203b6073f775db91fb8d9530","target":"record","created_at":"2026-05-18T00:24:02Z","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":"9d35dd23366ed57a65247ff4f83596efc420d8316848fcce13c8f5de1b13d26e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-02-08T14:00:31Z","title_canon_sha256":"99ce11b3dccc589388b2e86b4b1ff4d5bd662868b7b9470d003640846382cd02"},"schema_version":"1.0","source":{"id":"1802.02858","kind":"arxiv","version":1}},"canonical_sha256":"047327b5f756cb8365712f582cec7afc35ba246cd3f285e9278327fd8e3ae43b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"047327b5f756cb8365712f582cec7afc35ba246cd3f285e9278327fd8e3ae43b","first_computed_at":"2026-05-18T00:24:02.927942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:02.927942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I5JAYa0pHqXxW4sWHWJ1gHK3bDvCcG8HhttRfXgiuhRwcAEBtq/N8MaJzS2RqARf/GejXekzZ8mWUCH7pq/GCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:02.928420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.02858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57d49636c96fb35ab49755e403f2d4991b4ad048203b6073f775db91fb8d9530","sha256:3516e934075c48b453e7eed889e307a528aa9297efcd13aa0ad9c477175a08fa"],"state_sha256":"881db59333f29d8e42689f4e8b43068196261ba04617461566fb4c3b1cac3c3e"}