{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:J7NEW5GD44FXDIO5VG3TTXCG4Y","short_pith_number":"pith:J7NEW5GD","canonical_record":{"source":{"id":"1809.05824","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-09-16T06:45:52Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"9e18bcdf1268dabf5f7d17a5d2a487ed855968f299557f3c429c72104d44a74c","abstract_canon_sha256":"37f2cadbe41d50f4aeee66484a064f1ad908f90bc4cbe743f5131ba32a28366e"},"schema_version":"1.0"},"canonical_sha256":"4fda4b74c3e70b71a1dda9b739dc46e610fa8b0e89cc54ca10f9a9e4fa66dbe4","source":{"kind":"arxiv","id":"1809.05824","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.05824","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"arxiv_version","alias_value":"1809.05824v2","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05824","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"pith_short_12","alias_value":"J7NEW5GD44FX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J7NEW5GD44FXDIO5","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J7NEW5GD","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:J7NEW5GD44FXDIO5VG3TTXCG4Y","target":"record","payload":{"canonical_record":{"source":{"id":"1809.05824","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-09-16T06:45:52Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"9e18bcdf1268dabf5f7d17a5d2a487ed855968f299557f3c429c72104d44a74c","abstract_canon_sha256":"37f2cadbe41d50f4aeee66484a064f1ad908f90bc4cbe743f5131ba32a28366e"},"schema_version":"1.0"},"canonical_sha256":"4fda4b74c3e70b71a1dda9b739dc46e610fa8b0e89cc54ca10f9a9e4fa66dbe4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:36.647312Z","signature_b64":"2xww/n6iT8p2yPr6MaE3Fzl+erkpdZ1rmiH67zmVuOD5ub1SuFQ2Iw7p7EX0WoYJglN4TkX2M4EcJxq8u4SeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fda4b74c3e70b71a1dda9b739dc46e610fa8b0e89cc54ca10f9a9e4fa66dbe4","last_reissued_at":"2026-05-17T23:45:36.646645Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:36.646645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.05824","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":"2026-05-17T23:45:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VqQRxVPqNq5FdbLKnw7j34ij9BlWmotkmMfo+6CA5h/L0UZ37RbA8kgy/FwUp2zbdZvRg1TBzY2oDHWe3g2rCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:40:24.792917Z"},"content_sha256":"c041a3a0b7bcc000e8da946c2005769ed103fd38ece6ce684cf68daff40c3186","schema_version":"1.0","event_id":"sha256:c041a3a0b7bcc000e8da946c2005769ed103fd38ece6ce684cf68daff40c3186"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:J7NEW5GD44FXDIO5VG3TTXCG4Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transformation of the Stackel matrices preserving superintegrability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"nlin.SI","authors_text":"A.V. Tsiganov","submitted_at":"2018-09-16T06:45:52Z","abstract_excerpt":"If we take a superintegrable Stackel system and make variables \"faster\" or \"slower\", that is equivalent to a trivial transformation of the Stackel matrix and potentials, then we obtain an infinite family of superintegrable systems with explicitly defined additional integrals of motion. We present some examples of such transformations associated with angle variables expressed via logarithmic functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05824","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":"2026-05-17T23:45:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZyKdjn/WhxPdL7390HVb8ehSxBjg1iq1QQePEaWwrzUAxMpmejHqmQ59e7q/Pu1ebeLrXehLTXWrJYiiedZJAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:40:24.793586Z"},"content_sha256":"ba8073f030ab2e351ddda09b9503ada417cc2dc1fc869837aea8b0ab8281b6ed","schema_version":"1.0","event_id":"sha256:ba8073f030ab2e351ddda09b9503ada417cc2dc1fc869837aea8b0ab8281b6ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y/bundle.json","state_url":"https://pith.science/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y/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":"2026-06-12T06:40:24Z","links":{"resolver":"https://pith.science/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y","bundle":"https://pith.science/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y/bundle.json","state":"https://pith.science/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7NEW5GD44FXDIO5VG3TTXCG4Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J7NEW5GD44FXDIO5VG3TTXCG4Y","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":"37f2cadbe41d50f4aeee66484a064f1ad908f90bc4cbe743f5131ba32a28366e","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-09-16T06:45:52Z","title_canon_sha256":"9e18bcdf1268dabf5f7d17a5d2a487ed855968f299557f3c429c72104d44a74c"},"schema_version":"1.0","source":{"id":"1809.05824","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.05824","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"arxiv_version","alias_value":"1809.05824v2","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05824","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"pith_short_12","alias_value":"J7NEW5GD44FX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J7NEW5GD44FXDIO5","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J7NEW5GD","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:ba8073f030ab2e351ddda09b9503ada417cc2dc1fc869837aea8b0ab8281b6ed","target":"graph","created_at":"2026-05-17T23:45:36Z","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":"If we take a superintegrable Stackel system and make variables \"faster\" or \"slower\", that is equivalent to a trivial transformation of the Stackel matrix and potentials, then we obtain an infinite family of superintegrable systems with explicitly defined additional integrals of motion. We present some examples of such transformations associated with angle variables expressed via logarithmic functions.","authors_text":"A.V. Tsiganov","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-09-16T06:45:52Z","title":"Transformation of the Stackel matrices preserving superintegrability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05824","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:c041a3a0b7bcc000e8da946c2005769ed103fd38ece6ce684cf68daff40c3186","target":"record","created_at":"2026-05-17T23:45:36Z","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":"37f2cadbe41d50f4aeee66484a064f1ad908f90bc4cbe743f5131ba32a28366e","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-09-16T06:45:52Z","title_canon_sha256":"9e18bcdf1268dabf5f7d17a5d2a487ed855968f299557f3c429c72104d44a74c"},"schema_version":"1.0","source":{"id":"1809.05824","kind":"arxiv","version":2}},"canonical_sha256":"4fda4b74c3e70b71a1dda9b739dc46e610fa8b0e89cc54ca10f9a9e4fa66dbe4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fda4b74c3e70b71a1dda9b739dc46e610fa8b0e89cc54ca10f9a9e4fa66dbe4","first_computed_at":"2026-05-17T23:45:36.646645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:36.646645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2xww/n6iT8p2yPr6MaE3Fzl+erkpdZ1rmiH67zmVuOD5ub1SuFQ2Iw7p7EX0WoYJglN4TkX2M4EcJxq8u4SeBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:36.647312Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.05824","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c041a3a0b7bcc000e8da946c2005769ed103fd38ece6ce684cf68daff40c3186","sha256:ba8073f030ab2e351ddda09b9503ada417cc2dc1fc869837aea8b0ab8281b6ed"],"state_sha256":"c9923d55f89151b605b8eef5df2b9321db73ad76ff11bfd558d1bd69cab9bb27"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"56wRv2sIyH7+PgJSOFTpRcYCoMBXT+TsJANbQ+HBx3DiZfDf0vNwYsbvuS5gjTRhkI+jJgSDnPPzP9sarmN2Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T06:40:24.796763Z","bundle_sha256":"fe8e1e170da2778fd4710234417900af18f7470233a83de06a125fc4ece9d0b9"}}