{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SDIARLPPOWEGEFZ5G2ATUAN7ST","short_pith_number":"pith:SDIARLPP","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"},"canonical_sha256":"90d008adef758862173d36813a01bf94f969913ef8e00d6ee72dc2b2dd09eb7e","source":{"kind":"arxiv","id":"1708.08185","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08185","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08185v2","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08185","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"pith_short_12","alias_value":"SDIARLPPOWEG","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SDIARLPPOWEGEFZ5","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SDIARLPP","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SDIARLPPOWEGEFZ5G2ATUAN7ST","target":"record","payload":{"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"},"canonical_sha256":"90d008adef758862173d36813a01bf94f969913ef8e00d6ee72dc2b2dd09eb7e","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"},"source_kind":"arxiv","source_id":"1708.08185","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iSLS5Pk3zkwBKBsAPGc/PQ82V3j4ythBQqMMqIXOWZeCaIbHYrteeXD7tf0UcpjCe/IGjm8GzgsBWBvZvleVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T01:40:22.290821Z"},"content_sha256":"aa8c4e27843d2076b0e74cc5e918c542e25232dc8bfe45cda158f1832ac43022","schema_version":"1.0","event_id":"sha256:aa8c4e27843d2076b0e74cc5e918c542e25232dc8bfe45cda158f1832ac43022"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SDIARLPPOWEGEFZ5G2ATUAN7ST","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WVup7Y8EpCl6rwpSWMb+wbcMjdt1iW1BIwSDDfMOT4ePefA4qj7dGAWwSx756r3drfhB0iqii0gULtjceX0qBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T01:40:22.291486Z"},"content_sha256":"094fd65efa1acef5e563ecee7948f75f8f0b8a1eaabbf10d53c96454cbe5b78f","schema_version":"1.0","event_id":"sha256:094fd65efa1acef5e563ecee7948f75f8f0b8a1eaabbf10d53c96454cbe5b78f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/bundle.json","state_url":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-24T01:40:22Z","links":{"resolver":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST","bundle":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/bundle.json","state":"https://pith.science/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDIARLPPOWEGEFZ5G2ATUAN7ST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SDIARLPPOWEGEFZ5G2ATUAN7ST","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":"67b320bf30879b1cc732bb165dbdd91f4bc26b3c48241d499903f8b846987e36","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-28T04:32:57Z","title_canon_sha256":"17cafa12927f3be882f032b475a39ec2e339d754154c1dc95d5ef5fbc6e126e0"},"schema_version":"1.0","source":{"id":"1708.08185","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08185","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08185v2","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08185","created_at":"2026-05-18T00:26:14Z"},{"alias_kind":"pith_short_12","alias_value":"SDIARLPPOWEG","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SDIARLPPOWEGEFZ5","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SDIARLPP","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:094fd65efa1acef5e563ecee7948f75f8f0b8a1eaabbf10d53c96454cbe5b78f","target":"graph","created_at":"2026-05-18T00:26:14Z","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":"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","authors_text":"Angel Ballesteros, Eduardo Fernandez-Saiz, Francisco J. Herranz, Javier de Lucas, Rutwig Campoamor-Stursberg","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-28T04:32:57Z","title":"Poisson-Hopf algebra deformations of Lie-Hamilton systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08185","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:aa8c4e27843d2076b0e74cc5e918c542e25232dc8bfe45cda158f1832ac43022","target":"record","created_at":"2026-05-18T00:26:14Z","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":"67b320bf30879b1cc732bb165dbdd91f4bc26b3c48241d499903f8b846987e36","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-08-28T04:32:57Z","title_canon_sha256":"17cafa12927f3be882f032b475a39ec2e339d754154c1dc95d5ef5fbc6e126e0"},"schema_version":"1.0","source":{"id":"1708.08185","kind":"arxiv","version":2}},"canonical_sha256":"90d008adef758862173d36813a01bf94f969913ef8e00d6ee72dc2b2dd09eb7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d008adef758862173d36813a01bf94f969913ef8e00d6ee72dc2b2dd09eb7e","first_computed_at":"2026-05-18T00:26:14.536979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:14.536979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rIvPb+ox7aYULMQqUH1HJ8IrVkBsndc4XUllMKhD6bvo5OteXqKWCS+UIwxRAVFjpQJ21FLjNOH2tz2dGzZKCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:14.537416Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08185","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa8c4e27843d2076b0e74cc5e918c542e25232dc8bfe45cda158f1832ac43022","sha256:094fd65efa1acef5e563ecee7948f75f8f0b8a1eaabbf10d53c96454cbe5b78f"],"state_sha256":"486bee4cabf53886a685e1d4fd625bd400d405351143bf6d8300b9a051afc9dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kGZsWHsaNzAgZ2rpw1286zx8xs80Cu4GsOePo4rtyoG0X1X834PD64WoGjrgCX86l0FxQQy3BfHuomsEXrB/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T01:40:22.295127Z","bundle_sha256":"089b0d2f757941e951c3d39afab61715fb28d41ff2f95d3d9282abcefc971aee"}}