{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IAE4SWOXYZPTHKDM3XUZXBPWX4","short_pith_number":"pith:IAE4SWOX","canonical_record":{"source":{"id":"1002.0142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-01-31T17:14:03Z","cross_cats_sorted":[],"title_canon_sha256":"fc1b3b3780828c7b642291a68a33c2cc3d001e9be8df80942989f669361e7614","abstract_canon_sha256":"4b0cfe68145e83db87cc54f1f192307ceef3fea053aee5aafc9d223e6cc6fee9"},"schema_version":"1.0"},"canonical_sha256":"4009c959d7c65f33a86cdde99b85f6bf0a9133cb8b7725f90d96a600f50b7e59","source":{"kind":"arxiv","id":"1002.0142","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0142","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0142v1","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0142","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"IAE4SWOXYZPT","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IAE4SWOXYZPTHKDM","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IAE4SWOX","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IAE4SWOXYZPTHKDM3XUZXBPWX4","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-01-31T17:14:03Z","cross_cats_sorted":[],"title_canon_sha256":"fc1b3b3780828c7b642291a68a33c2cc3d001e9be8df80942989f669361e7614","abstract_canon_sha256":"4b0cfe68145e83db87cc54f1f192307ceef3fea053aee5aafc9d223e6cc6fee9"},"schema_version":"1.0"},"canonical_sha256":"4009c959d7c65f33a86cdde99b85f6bf0a9133cb8b7725f90d96a600f50b7e59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:21.680773Z","signature_b64":"mNlpZzZzXA6mxTvf1iR7PwHuPAKFmrPwaxEgewmJcsE0m6m4ntBMnAnlfPNSAM4kAMZfjgU/s/K4RSe3HfgOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4009c959d7c65f33a86cdde99b85f6bf0a9133cb8b7725f90d96a600f50b7e59","last_reissued_at":"2026-05-18T02:09:21.680177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:21.680177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0142","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":"2026-05-18T02:09:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S9VLjK6792nY/h3BMGjm6Ju5Yx+9l9T9rTH1D5IpAqIpBtZDTawcMnwk5Ryyy9q+lY4Om56TKBVEO4LmNnvGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:34:34.534025Z"},"content_sha256":"956cab4d4c3957476ad0336eab3a9d3a89d54abc4cf402a8d6704328fdaa0756","schema_version":"1.0","event_id":"sha256:956cab4d4c3957476ad0336eab3a9d3a89d54abc4cf402a8d6704328fdaa0756"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IAE4SWOXYZPTHKDM3XUZXBPWX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controlling Effect of Geometrically Defined Local Structural Changes on Chaotic Hamiltonian Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Lawrence Horwitz, Yossi Ben Zion","submitted_at":"2010-01-31T17:14:03Z","abstract_excerpt":"An effective characterization of chaotic conservative Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor derived from the structure of the Hamiltonian has been extended to a wide class of potential models of standard form through definition of a conformal metric. The geodesic equations reproduce the Hamilton equations of the original potential model through an inverse map in the tangent space. The second covariant derivative of the geodesic deviation in this space generates a dynamical curvature, resulting in (energy dependent) criteria for unstable behavi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0142","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":"2026-05-18T02:09:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3b5JglrC2bYlf6zKiGKiSeo0LCN7nJ+Ppe9q6XVZSj93sA8MW8ekHF8ZV8KMUoXTC+nxRnteRSyRDPI6f053Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:34:34.534761Z"},"content_sha256":"316de9384ecbccc777c96f07b25f7e49abc04c40f5d4307bd881c747328435de","schema_version":"1.0","event_id":"sha256:316de9384ecbccc777c96f07b25f7e49abc04c40f5d4307bd881c747328435de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4/bundle.json","state_url":"https://pith.science/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4/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":"2026-06-11T19:34:34Z","links":{"resolver":"https://pith.science/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4","bundle":"https://pith.science/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4/bundle.json","state":"https://pith.science/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAE4SWOXYZPTHKDM3XUZXBPWX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IAE4SWOXYZPTHKDM3XUZXBPWX4","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":"4b0cfe68145e83db87cc54f1f192307ceef3fea053aee5aafc9d223e6cc6fee9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-01-31T17:14:03Z","title_canon_sha256":"fc1b3b3780828c7b642291a68a33c2cc3d001e9be8df80942989f669361e7614"},"schema_version":"1.0","source":{"id":"1002.0142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0142","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0142v1","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0142","created_at":"2026-05-18T02:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"IAE4SWOXYZPT","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IAE4SWOXYZPTHKDM","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IAE4SWOX","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:316de9384ecbccc777c96f07b25f7e49abc04c40f5d4307bd881c747328435de","target":"graph","created_at":"2026-05-18T02:09:21Z","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":"An effective characterization of chaotic conservative Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor derived from the structure of the Hamiltonian has been extended to a wide class of potential models of standard form through definition of a conformal metric. The geodesic equations reproduce the Hamilton equations of the original potential model through an inverse map in the tangent space. The second covariant derivative of the geodesic deviation in this space generates a dynamical curvature, resulting in (energy dependent) criteria for unstable behavi","authors_text":"Lawrence Horwitz, Yossi Ben Zion","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-01-31T17:14:03Z","title":"Controlling Effect of Geometrically Defined Local Structural Changes on Chaotic Hamiltonian Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0142","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":"sha256:956cab4d4c3957476ad0336eab3a9d3a89d54abc4cf402a8d6704328fdaa0756","target":"record","created_at":"2026-05-18T02:09:21Z","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":"4b0cfe68145e83db87cc54f1f192307ceef3fea053aee5aafc9d223e6cc6fee9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-01-31T17:14:03Z","title_canon_sha256":"fc1b3b3780828c7b642291a68a33c2cc3d001e9be8df80942989f669361e7614"},"schema_version":"1.0","source":{"id":"1002.0142","kind":"arxiv","version":1}},"canonical_sha256":"4009c959d7c65f33a86cdde99b85f6bf0a9133cb8b7725f90d96a600f50b7e59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4009c959d7c65f33a86cdde99b85f6bf0a9133cb8b7725f90d96a600f50b7e59","first_computed_at":"2026-05-18T02:09:21.680177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:21.680177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mNlpZzZzXA6mxTvf1iR7PwHuPAKFmrPwaxEgewmJcsE0m6m4ntBMnAnlfPNSAM4kAMZfjgU/s/K4RSe3HfgOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:21.680773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:956cab4d4c3957476ad0336eab3a9d3a89d54abc4cf402a8d6704328fdaa0756","sha256:316de9384ecbccc777c96f07b25f7e49abc04c40f5d4307bd881c747328435de"],"state_sha256":"312de3a40917b2bcd946f1791b5f99264ac47758e8beee97281297109c9313ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G689mNiBeZj7W3X5h7AYo1XdV2ENZREqag8Y8r9CD9RyONyO1UimhqMhQNd1q/HdVMBqcBUyofS/l7pidMGeBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T19:34:34.538865Z","bundle_sha256":"dd2103f4414a9b6fb1ed7fca5c9c2e66aaf65d338a3ab446bd116cad17270f43"}}