{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KDYTQ54IQWDGQU2XCLCU5W5BPX","short_pith_number":"pith:KDYTQ54I","canonical_record":{"source":{"id":"1102.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-16T09:09:56Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2d15703ba67cbeff9aa41a001b97677f2c40240b6ea07a1d1db2e2c5af272ae1","abstract_canon_sha256":"25dd6c28edefdeae0b81c87dbba67e992d7d2c7ace7184a7ddaed9b4fceb9b4c"},"schema_version":"1.0"},"canonical_sha256":"50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2","source":{"kind":"arxiv","id":"1102.3269","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3269","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3269v1","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3269","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"KDYTQ54IQWDG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KDYTQ54IQWDGQU2X","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KDYTQ54I","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KDYTQ54IQWDGQU2XCLCU5W5BPX","target":"record","payload":{"canonical_record":{"source":{"id":"1102.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-16T09:09:56Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2d15703ba67cbeff9aa41a001b97677f2c40240b6ea07a1d1db2e2c5af272ae1","abstract_canon_sha256":"25dd6c28edefdeae0b81c87dbba67e992d7d2c7ace7184a7ddaed9b4fceb9b4c"},"schema_version":"1.0"},"canonical_sha256":"50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:36.722616Z","signature_b64":"Jl0lXBRcDA023jxTBiBh4ko0sTrSKeeurTjFfko//daCllDGFHLer33OarcnI/RVn26juLKdxprl2YAklUeTCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2","last_reissued_at":"2026-05-18T04:28:36.722147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:36.722147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.3269","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":"2026-05-18T04:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsGTT8Xw7lDDS4hMF7UO70uHgGtzIgY4OcLCCpwEI+DdOJiPNGpBxRUCWMy5piY2r3AomzTgdFLXgte3FJ4CAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:13:30.538239Z"},"content_sha256":"cfcd82eb880b63904cdacc09e157299607e3e42ca53503e355cb0bd4ac65ffeb","schema_version":"1.0","event_id":"sha256:cfcd82eb880b63904cdacc09e157299607e3e42ca53503e355cb0bd4ac65ffeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KDYTQ54IQWDGQU2XCLCU5W5BPX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Giampaolo Cicogna","submitted_at":"2011-02-16T09:09:56Z","abstract_excerpt":"After a brief survey of the definition and the properties of Lambda-symmetries in the general context of dynamical systems, the notion of \"Lambda-constant of motion'' for Hamiltonian equations is introduced. If the Hamiltonian problem is derived from a Lambda-invariant Lagrangian, it is shown how the Lagrangian Lambda-invariance can be transferred into the Hamiltonian context and shown that the Hamiltonian equations turn out to be Lambda-symmetric. Finally, the \"partial'' (Lagrangian) reduction of the Euler-Lagrange equations is compared with the reduction obtained for the corresponding Hamilt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3269","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":"2026-05-18T04:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jTxMFQIYwLYnNjifM61a2ctZMidzBsi3mN5dUei4pULIcVBgQtMNfI+SmjFl2otwrwA3iAK9avr+heog3lReAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:13:30.538590Z"},"content_sha256":"367921cdca67081f10218ffddb1249c61210fc4a875b77b3ed2fed6564b0f94e","schema_version":"1.0","event_id":"sha256:367921cdca67081f10218ffddb1249c61210fc4a875b77b3ed2fed6564b0f94e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX/bundle.json","state_url":"https://pith.science/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX/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":"2026-06-23T18:13:30Z","links":{"resolver":"https://pith.science/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX","bundle":"https://pith.science/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX/bundle.json","state":"https://pith.science/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KDYTQ54IQWDGQU2XCLCU5W5BPX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KDYTQ54IQWDGQU2XCLCU5W5BPX","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":"25dd6c28edefdeae0b81c87dbba67e992d7d2c7ace7184a7ddaed9b4fceb9b4c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-16T09:09:56Z","title_canon_sha256":"2d15703ba67cbeff9aa41a001b97677f2c40240b6ea07a1d1db2e2c5af272ae1"},"schema_version":"1.0","source":{"id":"1102.3269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3269","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3269v1","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3269","created_at":"2026-05-18T04:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"KDYTQ54IQWDG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KDYTQ54IQWDGQU2X","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KDYTQ54I","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:367921cdca67081f10218ffddb1249c61210fc4a875b77b3ed2fed6564b0f94e","target":"graph","created_at":"2026-05-18T04:28:36Z","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":"After a brief survey of the definition and the properties of Lambda-symmetries in the general context of dynamical systems, the notion of \"Lambda-constant of motion'' for Hamiltonian equations is introduced. If the Hamiltonian problem is derived from a Lambda-invariant Lagrangian, it is shown how the Lagrangian Lambda-invariance can be transferred into the Hamiltonian context and shown that the Hamiltonian equations turn out to be Lambda-symmetric. Finally, the \"partial'' (Lagrangian) reduction of the Euler-Lagrange equations is compared with the reduction obtained for the corresponding Hamilt","authors_text":"Giampaolo Cicogna","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-16T09:09:56Z","title":"Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3269","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:cfcd82eb880b63904cdacc09e157299607e3e42ca53503e355cb0bd4ac65ffeb","target":"record","created_at":"2026-05-18T04:28:36Z","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":"25dd6c28edefdeae0b81c87dbba67e992d7d2c7ace7184a7ddaed9b4fceb9b4c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-02-16T09:09:56Z","title_canon_sha256":"2d15703ba67cbeff9aa41a001b97677f2c40240b6ea07a1d1db2e2c5af272ae1"},"schema_version":"1.0","source":{"id":"1102.3269","kind":"arxiv","version":1}},"canonical_sha256":"50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2","first_computed_at":"2026-05-18T04:28:36.722147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:36.722147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jl0lXBRcDA023jxTBiBh4ko0sTrSKeeurTjFfko//daCllDGFHLer33OarcnI/RVn26juLKdxprl2YAklUeTCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:36.722616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfcd82eb880b63904cdacc09e157299607e3e42ca53503e355cb0bd4ac65ffeb","sha256:367921cdca67081f10218ffddb1249c61210fc4a875b77b3ed2fed6564b0f94e"],"state_sha256":"5d1d1a17e59a977ae10510d07fd5448cfd998562d96d5498e006d9bb17c9190c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uacebu9cWFOfgPtl9iMu11rOv4M/BSvzeCPLOsKflWYqN0PEhf+pvyY5aX9wiLe8lxrL8ukMgx+lUP16AJ1xDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:13:30.540535Z","bundle_sha256":"27c637c39da45e26604f4933cf1b075667fd97e88bf88034f017ec09e741e697"}}