{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CYDXQUVJTXOWLABTOJ5KO6P2OO","short_pith_number":"pith:CYDXQUVJ","canonical_record":{"source":{"id":"1004.1462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-09T06:08:32Z","cross_cats_sorted":[],"title_canon_sha256":"f657e42be0090fdc10b20c9125e712cfd1cb6740bb2ed0b9d9ee3c2b352df288","abstract_canon_sha256":"d0f349833ad9f0580d22d79a4c3640ab7e82c516ccc825275eb9720624af4922"},"schema_version":"1.0"},"canonical_sha256":"16077852a99ddd658033727aa779fa739b4fc8958ef7cf51755834bf3ac70ab1","source":{"kind":"arxiv","id":"1004.1462","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1462","created_at":"2026-05-18T02:08:07Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1462v1","created_at":"2026-05-18T02:08:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1462","created_at":"2026-05-18T02:08:07Z"},{"alias_kind":"pith_short_12","alias_value":"CYDXQUVJTXOW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CYDXQUVJTXOWLABT","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CYDXQUVJ","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CYDXQUVJTXOWLABTOJ5KO6P2OO","target":"record","payload":{"canonical_record":{"source":{"id":"1004.1462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-09T06:08:32Z","cross_cats_sorted":[],"title_canon_sha256":"f657e42be0090fdc10b20c9125e712cfd1cb6740bb2ed0b9d9ee3c2b352df288","abstract_canon_sha256":"d0f349833ad9f0580d22d79a4c3640ab7e82c516ccc825275eb9720624af4922"},"schema_version":"1.0"},"canonical_sha256":"16077852a99ddd658033727aa779fa739b4fc8958ef7cf51755834bf3ac70ab1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:07.599497Z","signature_b64":"BwtSLMAhzx3UwVUCV9YiEraDn9YX/I0EX8zCVlbM4eIwJhUIDSfOhotL9FdM/7MlMtR+opgytIVUQhdoJ7ZKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16077852a99ddd658033727aa779fa739b4fc8958ef7cf51755834bf3ac70ab1","last_reissued_at":"2026-05-18T02:08:07.598809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:07.598809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.1462","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":"2026-05-18T02:08:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hvvxl1Iev5TTVloEl+Y85PTzzClECNTnZA0s7nZID3njPGc2JigQThcAKn+sPkOGWKpxq3I8miVP1/3tj1M1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:11:37.918044Z"},"content_sha256":"68a470c3dbccdaad58d9e97479c7c43811bf376bf1c706623dd4357c3499d682","schema_version":"1.0","event_id":"sha256:68a470c3dbccdaad58d9e97479c7c43811bf376bf1c706623dd4357c3499d682"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CYDXQUVJTXOWLABTOJ5KO6P2OO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved exponential stability for near-integrable quasi-convex Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Abed Bounemoura (LM-Orsay, IMJ), Jean-Pierre Marco (IMJ)","submitted_at":"2010-04-09T06:08:32Z","abstract_excerpt":"In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper upper bound on the speed of Arnold diffusion which we believe to be optimal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1462","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":"2026-05-18T02:08:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/S2KvUe9XZl78rVTNTSoeDhzwLMGKP6Hd1vBm6k44Ojhe+rCAUQl0nEv5H8wNaR8dr+1hlO7J2e3dNUPxUBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:11:37.918684Z"},"content_sha256":"31361a21de443c35fc089abf58062f4a328255ce629bf80dfc42895735cdf610","schema_version":"1.0","event_id":"sha256:31361a21de443c35fc089abf58062f4a328255ce629bf80dfc42895735cdf610"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO/bundle.json","state_url":"https://pith.science/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO/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":"2026-06-07T14:11:37Z","links":{"resolver":"https://pith.science/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO","bundle":"https://pith.science/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO/bundle.json","state":"https://pith.science/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYDXQUVJTXOWLABTOJ5KO6P2OO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CYDXQUVJTXOWLABTOJ5KO6P2OO","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":"d0f349833ad9f0580d22d79a4c3640ab7e82c516ccc825275eb9720624af4922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-09T06:08:32Z","title_canon_sha256":"f657e42be0090fdc10b20c9125e712cfd1cb6740bb2ed0b9d9ee3c2b352df288"},"schema_version":"1.0","source":{"id":"1004.1462","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1462","created_at":"2026-05-18T02:08:07Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1462v1","created_at":"2026-05-18T02:08:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1462","created_at":"2026-05-18T02:08:07Z"},{"alias_kind":"pith_short_12","alias_value":"CYDXQUVJTXOW","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CYDXQUVJTXOWLABT","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CYDXQUVJ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:31361a21de443c35fc089abf58062f4a328255ce629bf80dfc42895735cdf610","target":"graph","created_at":"2026-05-18T02:08:07Z","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":"In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper upper bound on the speed of Arnold diffusion which we believe to be optimal.","authors_text":"Abed Bounemoura (LM-Orsay, IMJ), Jean-Pierre Marco (IMJ)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-09T06:08:32Z","title":"Improved exponential stability for near-integrable quasi-convex Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1462","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":"sha256:68a470c3dbccdaad58d9e97479c7c43811bf376bf1c706623dd4357c3499d682","target":"record","created_at":"2026-05-18T02:08:07Z","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":"d0f349833ad9f0580d22d79a4c3640ab7e82c516ccc825275eb9720624af4922","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-09T06:08:32Z","title_canon_sha256":"f657e42be0090fdc10b20c9125e712cfd1cb6740bb2ed0b9d9ee3c2b352df288"},"schema_version":"1.0","source":{"id":"1004.1462","kind":"arxiv","version":1}},"canonical_sha256":"16077852a99ddd658033727aa779fa739b4fc8958ef7cf51755834bf3ac70ab1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16077852a99ddd658033727aa779fa739b4fc8958ef7cf51755834bf3ac70ab1","first_computed_at":"2026-05-18T02:08:07.598809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:07.598809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BwtSLMAhzx3UwVUCV9YiEraDn9YX/I0EX8zCVlbM4eIwJhUIDSfOhotL9FdM/7MlMtR+opgytIVUQhdoJ7ZKDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:07.599497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1462","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68a470c3dbccdaad58d9e97479c7c43811bf376bf1c706623dd4357c3499d682","sha256:31361a21de443c35fc089abf58062f4a328255ce629bf80dfc42895735cdf610"],"state_sha256":"1a692ac7193e0836e6012065a275290a08fc3d5a33f3a0fe572bce695dbeacd0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8/ckD7WwQQhY2F9JF20Y3p+tHQqd0WkF8LczjLmIeb3q1mhh4vlXiGyDOSG4rtdWBi4MJtZUtHcU8UROeAJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:11:37.922423Z","bundle_sha256":"228b95e1cd07b4ba3e55dc41cefa3116f63023deb3b53149ebf309d4c84205e9"}}