{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SDIARLPPOWEGEFZ5G2ATUAN7ST","short_pith_number":"pith:SDIARLPP","schema_version":"1.0","canonical_sha256":"90d008adef758862173d36813a01bf94f969913ef8e00d6ee72dc2b2dd09eb7e","source":{"kind":"arxiv","id":"1708.08185","version":2},"attestation_state":"computed","paper":{"title":"Poisson-Hopf algebra deformations of Lie-Hamilton systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Angel Ballesteros, Eduardo Fernandez-Saiz, Francisco J. Herranz, Javier de Lucas, Rutwig Campoamor-Stursberg","submitted_at":"2017-08-28T04:32:57Z","abstract_excerpt":"Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the so-called Lie-Hamilton systems, to devise a novel formalism: the Poisson-Hopf algebra deformations of Lie-Hamilton systems. This approach applies to any Hopf algebra deformation of any Lie-Hamilton system. Remarkably, a Hopf algebra deformation transforms a Lie-Hamilton system, whose dynamic is governed by a finite-dimensional Lie algebra of functions, into a non-Lie-Hamilton system associated with a Poisson-Hopf algebra of functions that allows for the explicit description of its $t$-independent constant"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.08185","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-28T04:32:57Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"17cafa12927f3be882f032b475a39ec2e339d754154c1dc95d5ef5fbc6e126e0","abstract_canon_sha256":"67b320bf30879b1cc732bb165dbdd91f4bc26b3c48241d499903f8b846987e36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:14.537416Z","signature_b64":"rIvPb+ox7aYULMQqUH1HJ8IrVkBsndc4XUllMKhD6bvo5OteXqKWCS+UIwxRAVFjpQJ21FLjNOH2tz2dGzZKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90d008adef758862173d36813a01bf94f969913ef8e00d6ee72dc2b2dd09eb7e","last_reissued_at":"2026-05-18T00:26:14.536979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:14.536979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Poisson-Hopf algebra deformations of Lie-Hamilton systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Angel Ballesteros, Eduardo Fernandez-Saiz, Francisco J. Herranz, Javier de Lucas, Rutwig Campoamor-Stursberg","submitted_at":"2017-08-28T04:32:57Z","abstract_excerpt":"Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the so-called Lie-Hamilton systems, to devise a novel formalism: the Poisson-Hopf algebra deformations of Lie-Hamilton systems. This approach applies to any Hopf algebra deformation of any Lie-Hamilton system. Remarkably, a Hopf algebra deformation transforms a Lie-Hamilton system, whose dynamic is governed by a finite-dimensional Lie algebra of functions, into a non-Lie-Hamilton system associated with a Poisson-Hopf algebra of functions that allows for the explicit description of its $t$-independent constant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08185","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1708.08185","created_at":"2026-05-18T00:26:14.537043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.08185v2","created_at":"2026-05-18T00:26:14.537043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08185","created_at":"2026-05-18T00:26:14.537043+00:00"},{"alias_kind":"pith_short_12","alias_value":"SDIARLPPOWEG","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SDIARLPPOWEGEFZ5","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SDIARLPP","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST","json":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST.json","graph_json":"https://pith.science/api/pith-number/SDIARLPPOWEGEFZ5G2ATUAN7ST/graph.json","events_json":"https://pith.science/api/pith-number/SDIARLPPOWEGEFZ5G2ATUAN7ST/events.json","paper":"https://pith.science/paper/SDIARLPP"},"agent_actions":{"view_html":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST","download_json":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST.json","view_paper":"https://pith.science/paper/SDIARLPP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.08185&json=true","fetch_graph":"https://pith.science/api/pith-number/SDIARLPPOWEGEFZ5G2ATUAN7ST/graph.json","fetch_events":"https://pith.science/api/pith-number/SDIARLPPOWEGEFZ5G2ATUAN7ST/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/action/storage_attestation","attest_author":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/action/author_attestation","sign_citation":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/action/citation_signature","submit_replication":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/action/replication_record"}},"created_at":"2026-05-18T00:26:14.537043+00:00","updated_at":"2026-05-18T00:26:14.537043+00:00"}