{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:NPZSO42XF5VXZLVHYUMQ6UXW34","short_pith_number":"pith:NPZSO42X","canonical_record":{"source":{"id":"0906.3396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-18T10:00:56Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"44544811ca17ff8d2ead6cdfa05eaa7ea449564f963329793dceaea3a4302ca9","abstract_canon_sha256":"5bdea2b0fa47c9caca1757395c51cd49cbe62680487017b44dba625362377e40"},"schema_version":"1.0"},"canonical_sha256":"6bf32773572f6b7caea7c5190f52f6df22904b189048f76def198ebbda16e103","source":{"kind":"arxiv","id":"0906.3396","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.3396","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"0906.3396v1","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.3396","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"NPZSO42XF5VX","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NPZSO42XF5VXZLVH","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NPZSO42X","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:NPZSO42XF5VXZLVHYUMQ6UXW34","target":"record","payload":{"canonical_record":{"source":{"id":"0906.3396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-18T10:00:56Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"44544811ca17ff8d2ead6cdfa05eaa7ea449564f963329793dceaea3a4302ca9","abstract_canon_sha256":"5bdea2b0fa47c9caca1757395c51cd49cbe62680487017b44dba625362377e40"},"schema_version":"1.0"},"canonical_sha256":"6bf32773572f6b7caea7c5190f52f6df22904b189048f76def198ebbda16e103","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:19.128139Z","signature_b64":"QDPzDG7u0woa+M2zgGQFbAx964eBDRWkYeBif4kok/M1r1WgvkAHl0dOrGrvFLSoAF8tiOZjhG5BTRnaviQmAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bf32773572f6b7caea7c5190f52f6df22904b189048f76def198ebbda16e103","last_reissued_at":"2026-05-18T02:13:19.127437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:19.127437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.3396","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQzkjrjX+mdfMTuQTTN5XQb5zjAreqrPDuL5qRiNpiQsbUOOgQqUsrOoR+HiI4VceUN3udllrVVB3VZO/93iCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:07:15.273522Z"},"content_sha256":"6b0f10ced92fa30111ad70c2a7ee7a154d81e8007e81cf2f5c233f0af5012a9b","schema_version":"1.0","event_id":"sha256:6b0f10ced92fa30111ad70c2a7ee7a154d81e8007e81cf2f5c233f0af5012a9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:NPZSO42XF5VXZLVHYUMQ6UXW34","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry reduction and superintegrable Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"M.A. Rodriguez, P. Tempesta, P. Winternitz","submitted_at":"2009-06-18T10:00:56Z","abstract_excerpt":"We construct complete sets of invariant quantities that are integrals of motion for two Hamiltonian systems obtained through a reduction procedure, thus proving that these systems are maximally superintegrable. We also discuss the reduction method used in this article and its possible generalization to other maximally superintegrable systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.3396","kind":"arxiv","version":1},"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":"2026-05-18T02:13:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H3hUWM6GnTL4m17bm+7H0RaC5M2vqvhhAN/DPE1EF8cBxpH71TwdrAAxMDtXKeU87ztYz7FT/gutfJnypxLoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:07:15.273863Z"},"content_sha256":"d440973ecc97e7005a51f595f931904463c46e60d404a28bb7997c6fabb8c215","schema_version":"1.0","event_id":"sha256:d440973ecc97e7005a51f595f931904463c46e60d404a28bb7997c6fabb8c215"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPZSO42XF5VXZLVHYUMQ6UXW34/bundle.json","state_url":"https://pith.science/pith/NPZSO42XF5VXZLVHYUMQ6UXW34/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPZSO42XF5VXZLVHYUMQ6UXW34/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":"2026-06-02T00:07:15Z","links":{"resolver":"https://pith.science/pith/NPZSO42XF5VXZLVHYUMQ6UXW34","bundle":"https://pith.science/pith/NPZSO42XF5VXZLVHYUMQ6UXW34/bundle.json","state":"https://pith.science/pith/NPZSO42XF5VXZLVHYUMQ6UXW34/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPZSO42XF5VXZLVHYUMQ6UXW34/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:NPZSO42XF5VXZLVHYUMQ6UXW34","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":"5bdea2b0fa47c9caca1757395c51cd49cbe62680487017b44dba625362377e40","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-18T10:00:56Z","title_canon_sha256":"44544811ca17ff8d2ead6cdfa05eaa7ea449564f963329793dceaea3a4302ca9"},"schema_version":"1.0","source":{"id":"0906.3396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.3396","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"0906.3396v1","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.3396","created_at":"2026-05-18T02:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"NPZSO42XF5VX","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NPZSO42XF5VXZLVH","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NPZSO42X","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:d440973ecc97e7005a51f595f931904463c46e60d404a28bb7997c6fabb8c215","target":"graph","created_at":"2026-05-18T02:13:19Z","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 construct complete sets of invariant quantities that are integrals of motion for two Hamiltonian systems obtained through a reduction procedure, thus proving that these systems are maximally superintegrable. We also discuss the reduction method used in this article and its possible generalization to other maximally superintegrable systems.","authors_text":"M.A. Rodriguez, P. Tempesta, P. Winternitz","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-18T10:00:56Z","title":"Symmetry reduction and superintegrable Hamiltonian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.3396","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":"sha256:6b0f10ced92fa30111ad70c2a7ee7a154d81e8007e81cf2f5c233f0af5012a9b","target":"record","created_at":"2026-05-18T02:13:19Z","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":"5bdea2b0fa47c9caca1757395c51cd49cbe62680487017b44dba625362377e40","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-18T10:00:56Z","title_canon_sha256":"44544811ca17ff8d2ead6cdfa05eaa7ea449564f963329793dceaea3a4302ca9"},"schema_version":"1.0","source":{"id":"0906.3396","kind":"arxiv","version":1}},"canonical_sha256":"6bf32773572f6b7caea7c5190f52f6df22904b189048f76def198ebbda16e103","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bf32773572f6b7caea7c5190f52f6df22904b189048f76def198ebbda16e103","first_computed_at":"2026-05-18T02:13:19.127437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:19.127437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QDPzDG7u0woa+M2zgGQFbAx964eBDRWkYeBif4kok/M1r1WgvkAHl0dOrGrvFLSoAF8tiOZjhG5BTRnaviQmAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:19.128139Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.3396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b0f10ced92fa30111ad70c2a7ee7a154d81e8007e81cf2f5c233f0af5012a9b","sha256:d440973ecc97e7005a51f595f931904463c46e60d404a28bb7997c6fabb8c215"],"state_sha256":"7e7602dfc27439b71dfa9b8f7453210896ffe1b5033160e29886681c27ebca30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CVqO5lk/XJIn6qDMlKgjaQJSEGEgbCx4daV5p8xUluB/ScPQ1w53nzMp0AP7j2BAOJj42b3FqWKDHjNca+V1Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:07:15.275746Z","bundle_sha256":"86c759103785c006c9688dfc5c68e0d9e73b08069e2d2f85ca7b16d23e684f2a"}}