{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:H5KFHY7RL6G6L3UUYGHHMMXL7X","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":"0713b29ab72b96886c135c9bcb3befb154f31b286ce99933cd1f9d5246ddef81","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-28T09:45:20Z","title_canon_sha256":"0dffea5e07bf8eac98bb234c190f4fda84fdbbed39fee79b8b144b40e3564f20"},"schema_version":"1.0","source":{"id":"1304.7446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7446","created_at":"2026-05-18T03:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7446v2","created_at":"2026-05-18T03:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7446","created_at":"2026-05-18T03:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"H5KFHY7RL6G6","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H5KFHY7RL6G6L3UU","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H5KFHY7R","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:950b1422026709f82531160c2c06458807425a68072e175e420a3b290c6bc551","target":"graph","created_at":"2026-05-18T03:20:47Z","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":"A new class of integrable maps, obtained as lattice versions of polynomial dynamical systems is introduced. These systems are obtained by means of a discretization procedure that preserves several analytic and algebraic properties of a given differential equation, in particular symmetries and integrability [40]. Our approach is based on the properties of a suitable Galois differential algebra, that we shall call a Rota algebra. A formulation of the procedure in terms of category theory is proposed. In order to render the lattice dynamics confined, a Borel regularization is also adopted. As a b","authors_text":"Piergiulio Tempesta","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-28T09:45:20Z","title":"Integrable maps from Galois differential algebras, Borel transforms and number sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7446","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:bbd0d09075c4a2c1c6256bcf0acac65a86f364d71f188eaafef22a6489dbd3cd","target":"record","created_at":"2026-05-18T03:20:47Z","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":"0713b29ab72b96886c135c9bcb3befb154f31b286ce99933cd1f9d5246ddef81","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-28T09:45:20Z","title_canon_sha256":"0dffea5e07bf8eac98bb234c190f4fda84fdbbed39fee79b8b144b40e3564f20"},"schema_version":"1.0","source":{"id":"1304.7446","kind":"arxiv","version":2}},"canonical_sha256":"3f5453e3f15f8de5ee94c18e7632ebfdd3d81c8059fce0774b18f4c4175ffec9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f5453e3f15f8de5ee94c18e7632ebfdd3d81c8059fce0774b18f4c4175ffec9","first_computed_at":"2026-05-18T03:20:47.599433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:47.599433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k4q+SU88/IaJnFdJ7dn3dD4VhKUKR3SBmy7xCqMaEFwd5EB2jo4asbxRAKq31E2q7ugRO1VPhostmTA8U6rUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:47.600070Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbd0d09075c4a2c1c6256bcf0acac65a86f364d71f188eaafef22a6489dbd3cd","sha256:950b1422026709f82531160c2c06458807425a68072e175e420a3b290c6bc551"],"state_sha256":"2e4ea29091980ac461a65dd844b49dd1b2a1b593af805bf288f8a204809f9dc0"}