{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:H7NNMYHLFUKHHHUW2L7WLNPIMU","short_pith_number":"pith:H7NNMYHL","canonical_record":{"source":{"id":"0905.3087","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-05-19T12:41:43Z","cross_cats_sorted":[],"title_canon_sha256":"326a3e0664d5f08c4890b837b269af589f781d1eee6f1f5df458f8ad240fea82","abstract_canon_sha256":"6e334b81533e57957f3b0f07594afaa83f8afafb5e13912292ef960a7a7aa8f6"},"schema_version":"1.0"},"canonical_sha256":"3fdad660eb2d14739e96d2ff65b5e86535ab7560449feb40c64748ad5765d308","source":{"kind":"arxiv","id":"0905.3087","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3087","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3087v2","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3087","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"H7NNMYHLFUKH","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"H7NNMYHLFUKHHHUW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"H7NNMYHL","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:H7NNMYHLFUKHHHUW2L7WLNPIMU","target":"record","payload":{"canonical_record":{"source":{"id":"0905.3087","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-05-19T12:41:43Z","cross_cats_sorted":[],"title_canon_sha256":"326a3e0664d5f08c4890b837b269af589f781d1eee6f1f5df458f8ad240fea82","abstract_canon_sha256":"6e334b81533e57957f3b0f07594afaa83f8afafb5e13912292ef960a7a7aa8f6"},"schema_version":"1.0"},"canonical_sha256":"3fdad660eb2d14739e96d2ff65b5e86535ab7560449feb40c64748ad5765d308","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:38.664607Z","signature_b64":"uuZ5RhYf8R9+tIIoMMVao3giAFqcCdb1OUHgx6qwRm7YaFytdsUqsmAWIEa/qaiyMXNIxMDYnUQPbKm61T/8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fdad660eb2d14739e96d2ff65b5e86535ab7560449feb40c64748ad5765d308","last_reissued_at":"2026-05-18T02:13:38.664246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:38.664246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.3087","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":"2026-05-18T02:13:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/2v/T6NOFjDpQzMXYeCXBHzwgKGhxi4G3xu5WAZAaF1V2dWtss48ATllxfnRvXzIJAZZ3zPrdRkx6Ub+QHbcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:59:27.255193Z"},"content_sha256":"4ff8715cf206d375e47e842af6dfe3d64fefe7e16900357f0e611813f21e0912","schema_version":"1.0","event_id":"sha256:4ff8715cf206d375e47e842af6dfe3d64fefe7e16900357f0e611813f21e0912"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:H7NNMYHLFUKHHHUW2L7WLNPIMU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Shadowing in Slow-Fast Hamiltonian Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Emiliano De Simone, Niklas Br\\\"annstr\\\"om, Vassili Gelfreich","submitted_at":"2009-05-19T12:41:43Z","abstract_excerpt":"We study a class of slow-fast Hamiltonian systems with any finite number of degrees of freedom, but with at least one slow one and two fast ones. At $% \\epsilon =0$ the slow dynamics is frozen. We assume that the frozen system (i.e. the unperturbed fast dynamics) has families of hyperbolic periodic orbits with transversal heteroclinics.\n  For each periodic orbit we define an action $J.$ This action may be viewed as an action Hamiltonian (in the slow variables). It has been shown in (N. Br\\\"annstr\\\"om, V.Gelfreich (2008)) that there are orbits of the full dynamics which shadow any \\emph{finite}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3087","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":"2026-05-18T02:13:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1SBIIU+jSmIecrykLNmrLVawiKEQhGncYjjyC5m/1lNeGN4Y2A2vzbeIOoPw8G4dC7uL6VEgX1C18AL7AHrqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:59:27.255583Z"},"content_sha256":"d89472d479ba7450ccc8485de4368a815047140ed7add257ca672a2e4d9370c6","schema_version":"1.0","event_id":"sha256:d89472d479ba7450ccc8485de4368a815047140ed7add257ca672a2e4d9370c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU/bundle.json","state_url":"https://pith.science/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU/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":"2026-06-27T14:59:27Z","links":{"resolver":"https://pith.science/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU","bundle":"https://pith.science/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU/bundle.json","state":"https://pith.science/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7NNMYHLFUKHHHUW2L7WLNPIMU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:H7NNMYHLFUKHHHUW2L7WLNPIMU","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":"6e334b81533e57957f3b0f07594afaa83f8afafb5e13912292ef960a7a7aa8f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-05-19T12:41:43Z","title_canon_sha256":"326a3e0664d5f08c4890b837b269af589f781d1eee6f1f5df458f8ad240fea82"},"schema_version":"1.0","source":{"id":"0905.3087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3087","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3087v2","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3087","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"H7NNMYHLFUKH","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"H7NNMYHLFUKHHHUW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"H7NNMYHL","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:d89472d479ba7450ccc8485de4368a815047140ed7add257ca672a2e4d9370c6","target":"graph","created_at":"2026-05-18T02:13:38Z","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 study a class of slow-fast Hamiltonian systems with any finite number of degrees of freedom, but with at least one slow one and two fast ones. At $% \\epsilon =0$ the slow dynamics is frozen. We assume that the frozen system (i.e. the unperturbed fast dynamics) has families of hyperbolic periodic orbits with transversal heteroclinics.\n  For each periodic orbit we define an action $J.$ This action may be viewed as an action Hamiltonian (in the slow variables). It has been shown in (N. Br\\\"annstr\\\"om, V.Gelfreich (2008)) that there are orbits of the full dynamics which shadow any \\emph{finite}","authors_text":"Emiliano De Simone, Niklas Br\\\"annstr\\\"om, Vassili Gelfreich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-05-19T12:41:43Z","title":"Geometric Shadowing in Slow-Fast Hamiltonian Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3087","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":"sha256:4ff8715cf206d375e47e842af6dfe3d64fefe7e16900357f0e611813f21e0912","target":"record","created_at":"2026-05-18T02:13:38Z","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":"6e334b81533e57957f3b0f07594afaa83f8afafb5e13912292ef960a7a7aa8f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-05-19T12:41:43Z","title_canon_sha256":"326a3e0664d5f08c4890b837b269af589f781d1eee6f1f5df458f8ad240fea82"},"schema_version":"1.0","source":{"id":"0905.3087","kind":"arxiv","version":2}},"canonical_sha256":"3fdad660eb2d14739e96d2ff65b5e86535ab7560449feb40c64748ad5765d308","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fdad660eb2d14739e96d2ff65b5e86535ab7560449feb40c64748ad5765d308","first_computed_at":"2026-05-18T02:13:38.664246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:38.664246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uuZ5RhYf8R9+tIIoMMVao3giAFqcCdb1OUHgx6qwRm7YaFytdsUqsmAWIEa/qaiyMXNIxMDYnUQPbKm61T/8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:38.664607Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ff8715cf206d375e47e842af6dfe3d64fefe7e16900357f0e611813f21e0912","sha256:d89472d479ba7450ccc8485de4368a815047140ed7add257ca672a2e4d9370c6"],"state_sha256":"a64e681e311bd30ab1269f17c552a398fcf92a39a6570e06f934733b7d20cbab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vZgFpG9syb1rqQ1TPa9K9YE7OGE+LrpEJbNZ36LUdNHfwtZ1D74udaBOTiUa8MqdfAJeN0MCuHnYAkPRkTsZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T14:59:27.257580Z","bundle_sha256":"e60ba10d4d4e7c16065924133e6e06f83542757b2375025743f3ebaa26c884a6"}}