{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:7PU5FCX2HHZ3DWTCA7M43MMMEO","short_pith_number":"pith:7PU5FCX2","canonical_record":{"source":{"id":"nlin/0507010","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2005-07-07T03:03:24Z","cross_cats_sorted":["physics.ao-ph"],"title_canon_sha256":"0341d41a78c62fea369b83366b65149ab89143038aaba9cbba0270b0edd32c96","abstract_canon_sha256":"fff39431824b8e09acf8a270448e1c93e23ec149df484ebb87a74fd7fa474962"},"schema_version":"1.0"},"canonical_sha256":"fbe9d28afa39f3b1da6207d9cdb18c2388d73d77c29bdc5b902f703f4e39dda8","source":{"kind":"arxiv","id":"nlin/0507010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0507010","created_at":"2026-05-18T04:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0507010v1","created_at":"2026-05-18T04:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0507010","created_at":"2026-05-18T04:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"7PU5FCX2HHZ3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7PU5FCX2HHZ3DWTC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7PU5FCX2","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:7PU5FCX2HHZ3DWTCA7M43MMMEO","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0507010","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2005-07-07T03:03:24Z","cross_cats_sorted":["physics.ao-ph"],"title_canon_sha256":"0341d41a78c62fea369b83366b65149ab89143038aaba9cbba0270b0edd32c96","abstract_canon_sha256":"fff39431824b8e09acf8a270448e1c93e23ec149df484ebb87a74fd7fa474962"},"schema_version":"1.0"},"canonical_sha256":"fbe9d28afa39f3b1da6207d9cdb18c2388d73d77c29bdc5b902f703f4e39dda8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:35.419748Z","signature_b64":"FnZW8WAX9mE+MKHhW7wdSn5gWvSnMBaBToKOZ3Xhs68DyTV6MBD54rdlq45zZLEORiky9FVcS7+CvTDipu+kDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbe9d28afa39f3b1da6207d9cdb18c2388d73d77c29bdc5b902f703f4e39dda8","last_reissued_at":"2026-05-18T04:08:35.419138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:35.419138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0507010","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":"2026-05-18T04:08:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xzVoDNGuD4/sZ55+BcXmS6XoIXNGoKXOMsT9woBbOKxw6GGt7cxhiwvkcag7Wp1cbHul5eXroegO01PzW/HtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:38:37.585729Z"},"content_sha256":"4b286337ab522dc9a849078f3faad32d1b4b2b8a520fd30c64dabe816bb1cc64","schema_version":"1.0","event_id":"sha256:4b286337ab522dc9a849078f3faad32d1b4b2b8a520fd30c64dabe816bb1cc64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:7PU5FCX2HHZ3DWTCA7M43MMMEO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noise-induced clustering in Hamiltonian systems","license":"","headline":"","cross_cats":["physics.ao-ph"],"primary_cat":"nlin.CD","authors_text":"D.V. Makarov, M.V Budyansky, M.Yu. Uleysky, S.V. Prants","submitted_at":"2005-07-07T03:03:24Z","abstract_excerpt":"The motion of oscillatory-like nonlinear Hamiltonian systems, driven by a weak noise, is considered. A general method to find regions of stability in the phase space of a randomly-driven system, based on a specific Poincar\\'e map, is proposed and justified. Physical manifestations of these regions of stability, the so-called coherent clusters, are demonstrated with two models in ocean physics. We find bunches of sound rays propagating coherently in an underwater waveguide through a randomly fluctuating ocean at long distances. We find clusters of passive particles to be advected coherently by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0507010","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":"2026-05-18T04:08:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O84a6pf1e5DXhRShJC6yrvzHrlBaL9l0S4f4yx7MEFGE0huPPu6kLW2GeUAa6aKS769+BWPa+qr8GmrJFrFkAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:38:37.586067Z"},"content_sha256":"a8e8152e6cb2cc18c11fe76249c8f485da67df7aee89f3bd0892f94b3a73de6e","schema_version":"1.0","event_id":"sha256:a8e8152e6cb2cc18c11fe76249c8f485da67df7aee89f3bd0892f94b3a73de6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO/bundle.json","state_url":"https://pith.science/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO/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":"2026-06-01T19:38:37Z","links":{"resolver":"https://pith.science/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO","bundle":"https://pith.science/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO/bundle.json","state":"https://pith.science/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PU5FCX2HHZ3DWTCA7M43MMMEO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:7PU5FCX2HHZ3DWTCA7M43MMMEO","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":"fff39431824b8e09acf8a270448e1c93e23ec149df484ebb87a74fd7fa474962","cross_cats_sorted":["physics.ao-ph"],"license":"","primary_cat":"nlin.CD","submitted_at":"2005-07-07T03:03:24Z","title_canon_sha256":"0341d41a78c62fea369b83366b65149ab89143038aaba9cbba0270b0edd32c96"},"schema_version":"1.0","source":{"id":"nlin/0507010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0507010","created_at":"2026-05-18T04:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0507010v1","created_at":"2026-05-18T04:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0507010","created_at":"2026-05-18T04:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"7PU5FCX2HHZ3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7PU5FCX2HHZ3DWTC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7PU5FCX2","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:a8e8152e6cb2cc18c11fe76249c8f485da67df7aee89f3bd0892f94b3a73de6e","target":"graph","created_at":"2026-05-18T04:08:35Z","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":"The motion of oscillatory-like nonlinear Hamiltonian systems, driven by a weak noise, is considered. A general method to find regions of stability in the phase space of a randomly-driven system, based on a specific Poincar\\'e map, is proposed and justified. Physical manifestations of these regions of stability, the so-called coherent clusters, are demonstrated with two models in ocean physics. We find bunches of sound rays propagating coherently in an underwater waveguide through a randomly fluctuating ocean at long distances. We find clusters of passive particles to be advected coherently by ","authors_text":"D.V. Makarov, M.V Budyansky, M.Yu. Uleysky, S.V. Prants","cross_cats":["physics.ao-ph"],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2005-07-07T03:03:24Z","title":"Noise-induced clustering in Hamiltonian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0507010","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":"sha256:4b286337ab522dc9a849078f3faad32d1b4b2b8a520fd30c64dabe816bb1cc64","target":"record","created_at":"2026-05-18T04:08:35Z","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":"fff39431824b8e09acf8a270448e1c93e23ec149df484ebb87a74fd7fa474962","cross_cats_sorted":["physics.ao-ph"],"license":"","primary_cat":"nlin.CD","submitted_at":"2005-07-07T03:03:24Z","title_canon_sha256":"0341d41a78c62fea369b83366b65149ab89143038aaba9cbba0270b0edd32c96"},"schema_version":"1.0","source":{"id":"nlin/0507010","kind":"arxiv","version":1}},"canonical_sha256":"fbe9d28afa39f3b1da6207d9cdb18c2388d73d77c29bdc5b902f703f4e39dda8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbe9d28afa39f3b1da6207d9cdb18c2388d73d77c29bdc5b902f703f4e39dda8","first_computed_at":"2026-05-18T04:08:35.419138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:35.419138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FnZW8WAX9mE+MKHhW7wdSn5gWvSnMBaBToKOZ3Xhs68DyTV6MBD54rdlq45zZLEORiky9FVcS7+CvTDipu+kDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:35.419748Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0507010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b286337ab522dc9a849078f3faad32d1b4b2b8a520fd30c64dabe816bb1cc64","sha256:a8e8152e6cb2cc18c11fe76249c8f485da67df7aee89f3bd0892f94b3a73de6e"],"state_sha256":"6951ff2ebbd9c041d1a49ad2c08b17fc172b96cf4ecf1c8a98ecd80f384c4a34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cibge+li/PWEwW3JWcsX+Fan0w0Ld0NsrQ6Miqe+h9pf509Y2+0qwb+9A3xIDPlkTZlDacdRChDye4mIRKNKAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:38:37.587925Z","bundle_sha256":"3232843ddf7f38c5f8ea66bab68273d17d5bb86480616d224d2332deb05d672c"}}