{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AEADVDKBZJFZLXI5AE2KDCSJK7","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":"4c56f4280da8a95fd048feab43a28dca5ca3b533ff2ea1d3ab349aa30550ec22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-28T19:05:53Z","title_canon_sha256":"881b72bde9f6e41edf9d97f3efc4a4a5e3fd7cf15f4772b66f98146384db3bad"},"schema_version":"1.0","source":{"id":"1411.7976","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7976","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7976v3","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7976","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"AEADVDKBZJFZ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AEADVDKBZJFZLXI5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AEADVDKB","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:542bada692240c75525d9771f82678cbb983563df124aef6b674457dc70dfa1a","target":"graph","created_at":"2026-05-18T00:17:36Z","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":"At variance from the cases of relative equilibria and relative periodic orbits of dynamical systems with symmetry, the dynamics in relative quasi-periodic tori (namely, subsets of the phase space that project to an invariant torus of the reduced system on which the flow is quasi-periodic) is not yet completely understood. Even in the simplest situation of a free action of a compact and abelian connected group, the dynamics in a relative quasi-periodic torus is not necessarily quasi-periodic. It is known that quasi-periodicity of the unreduced dynamics is related to the reducibility of the reco","authors_text":"Andrea Giacobbe, Francesco Fass\\`o, Luis C. Garc\\'ia-Naranjo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-28T19:05:53Z","title":"Quasi-periodicity in relative quasi-periodic tori"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7976","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:ba1363924c8601383a39c47e4af20ce523e3dfd06ed3ef20848f520bf908aa4e","target":"record","created_at":"2026-05-18T00:17:36Z","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":"4c56f4280da8a95fd048feab43a28dca5ca3b533ff2ea1d3ab349aa30550ec22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-28T19:05:53Z","title_canon_sha256":"881b72bde9f6e41edf9d97f3efc4a4a5e3fd7cf15f4772b66f98146384db3bad"},"schema_version":"1.0","source":{"id":"1411.7976","kind":"arxiv","version":3}},"canonical_sha256":"01003a8d41ca4b95dd1d0134a18a4957da1ef0bd77780b052b191501c9b142c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01003a8d41ca4b95dd1d0134a18a4957da1ef0bd77780b052b191501c9b142c5","first_computed_at":"2026-05-18T00:17:36.004870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:36.004870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N2p/6bxHSIopcO134xx/6MIwQgxJJ6Jrzbd4FH7B2cHALER2DUfrqvEf+8oC2fGwK0Z64VH9ZGXcXmOLkUqfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:36.005623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7976","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba1363924c8601383a39c47e4af20ce523e3dfd06ed3ef20848f520bf908aa4e","sha256:542bada692240c75525d9771f82678cbb983563df124aef6b674457dc70dfa1a"],"state_sha256":"0beaee47ce77976e047d97e2940ce7b1a27acb53d44bdd59d55ea2d27eb7f707"}