{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3XYZ2YSI334UQA4KX3D4VZFRHJ","short_pith_number":"pith:3XYZ2YSI","canonical_record":{"source":{"id":"1111.4306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-18T09:08:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9cb2c9bb2477728b50638ef3d0834fdfa5417d79c16fb1065141b5b58a7a1078","abstract_canon_sha256":"5a33b9b89c45405cd436ab143d968dcaab22f5d5295156984ca050f7f71aefe0"},"schema_version":"1.0"},"canonical_sha256":"ddf19d6248def948038abec7cae4b13a730210c6a4821c6151b26c46f51ee438","source":{"kind":"arxiv","id":"1111.4306","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4306","created_at":"2026-05-18T04:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4306v2","created_at":"2026-05-18T04:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4306","created_at":"2026-05-18T04:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"3XYZ2YSI334U","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3XYZ2YSI334UQA4K","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3XYZ2YSI","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3XYZ2YSI334UQA4KX3D4VZFRHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4306","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-18T09:08:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9cb2c9bb2477728b50638ef3d0834fdfa5417d79c16fb1065141b5b58a7a1078","abstract_canon_sha256":"5a33b9b89c45405cd436ab143d968dcaab22f5d5295156984ca050f7f71aefe0"},"schema_version":"1.0"},"canonical_sha256":"ddf19d6248def948038abec7cae4b13a730210c6a4821c6151b26c46f51ee438","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:18.648265Z","signature_b64":"XEQ3Nxg4rpp5lc3KdtIU3v8+3CFkXfiCGBHXW/NQCvIGsE2uhtn9exLAwobIGle7meeBzL9znJiUVbXYzFALCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddf19d6248def948038abec7cae4b13a730210c6a4821c6151b26c46f51ee438","last_reissued_at":"2026-05-18T04:04:18.647630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:18.647630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4306","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":"2026-05-18T04:04:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wsoyilfUn+neFAYVsstNp4Tfnn9XhpeTIDo4EL+OcyeSandm2uChKVwUGwAP2tmWpCbfA4d2McUonEmRZbjOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:07:55.656142Z"},"content_sha256":"c4e7d87ec25b44f990dfadaae556435065d0e0360c2fa49c64eba482b7b12260","schema_version":"1.0","event_id":"sha256:c4e7d87ec25b44f990dfadaae556435065d0e0360c2fa49c64eba482b7b12260"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3XYZ2YSI334UQA4KX3D4VZFRHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"David Stuart, Markus Kunze","submitted_at":"2011-11-18T09:08:11Z","abstract_excerpt":"We prove exponential stability theorems of Nekhoroshev type for motion in the neighbourhood of an elliptic fixed point in Hamiltonian systems having an additional transverse component of arbitrary dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4306","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":"2026-05-18T04:04:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tsUtzP1yerId+7NWe1cruDD0ir0LvnBwSsQMWwUdKo/h8HMNo0yOaqIZ4nSaLe+mtVKal5JmxSq4CGuAeIWqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:07:55.656835Z"},"content_sha256":"278ba582a4b43e4c2796440916f576a8a0792def4475215dc35d80ed4a87d7bf","schema_version":"1.0","event_id":"sha256:278ba582a4b43e4c2796440916f576a8a0792def4475215dc35d80ed4a87d7bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ/bundle.json","state_url":"https://pith.science/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ/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":"2026-05-26T00:07:55Z","links":{"resolver":"https://pith.science/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ","bundle":"https://pith.science/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ/bundle.json","state":"https://pith.science/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XYZ2YSI334UQA4KX3D4VZFRHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3XYZ2YSI334UQA4KX3D4VZFRHJ","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":"5a33b9b89c45405cd436ab143d968dcaab22f5d5295156984ca050f7f71aefe0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-18T09:08:11Z","title_canon_sha256":"9cb2c9bb2477728b50638ef3d0834fdfa5417d79c16fb1065141b5b58a7a1078"},"schema_version":"1.0","source":{"id":"1111.4306","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4306","created_at":"2026-05-18T04:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4306v2","created_at":"2026-05-18T04:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4306","created_at":"2026-05-18T04:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"3XYZ2YSI334U","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3XYZ2YSI334UQA4K","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3XYZ2YSI","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:278ba582a4b43e4c2796440916f576a8a0792def4475215dc35d80ed4a87d7bf","target":"graph","created_at":"2026-05-18T04:04:18Z","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 prove exponential stability theorems of Nekhoroshev type for motion in the neighbourhood of an elliptic fixed point in Hamiltonian systems having an additional transverse component of arbitrary dimension.","authors_text":"David Stuart, Markus Kunze","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-18T09:08:11Z","title":"Nekhoroshev type stability results for Hamiltonian systems with an additional transversal component"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4306","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:c4e7d87ec25b44f990dfadaae556435065d0e0360c2fa49c64eba482b7b12260","target":"record","created_at":"2026-05-18T04:04:18Z","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":"5a33b9b89c45405cd436ab143d968dcaab22f5d5295156984ca050f7f71aefe0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-18T09:08:11Z","title_canon_sha256":"9cb2c9bb2477728b50638ef3d0834fdfa5417d79c16fb1065141b5b58a7a1078"},"schema_version":"1.0","source":{"id":"1111.4306","kind":"arxiv","version":2}},"canonical_sha256":"ddf19d6248def948038abec7cae4b13a730210c6a4821c6151b26c46f51ee438","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddf19d6248def948038abec7cae4b13a730210c6a4821c6151b26c46f51ee438","first_computed_at":"2026-05-18T04:04:18.647630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:18.647630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XEQ3Nxg4rpp5lc3KdtIU3v8+3CFkXfiCGBHXW/NQCvIGsE2uhtn9exLAwobIGle7meeBzL9znJiUVbXYzFALCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:18.648265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4306","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4e7d87ec25b44f990dfadaae556435065d0e0360c2fa49c64eba482b7b12260","sha256:278ba582a4b43e4c2796440916f576a8a0792def4475215dc35d80ed4a87d7bf"],"state_sha256":"6cb31f052dc5f86f3152b548c3ab46d31781c0005ebd2a0ea6cf25989e1fa754"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ImeWTUO/REAkDu2aHJsH2mHkSJBJCEAvNW71DjUN+5yGIXubF94YAws+y8+B6S20zoCuhZmdWBSLWRkzQ6YuCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:07:55.660639Z","bundle_sha256":"9143ec616f3838bb4aeb82336a1df649bf3dc43c574ecd8d4e8621caf1df9eaf"}}