{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JVGQ2EEM2WZJSGDA5JP3UN5RWH","short_pith_number":"pith:JVGQ2EEM","canonical_record":{"source":{"id":"1101.2138","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-11T15:03:11Z","cross_cats_sorted":[],"title_canon_sha256":"1fe5e5334ba06d8ba2a02129190164cf6a60f2788292262d6ed186c0ea4243f7","abstract_canon_sha256":"af1139d0cbc5699b72d7f31bf41a8ad6640156f0228c7849a974164604262f4a"},"schema_version":"1.0"},"canonical_sha256":"4d4d0d108cd5b2991860ea5fba37b1b1fe2d3078366b93372d9deba89bbe0351","source":{"kind":"arxiv","id":"1101.2138","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2138","created_at":"2026-05-18T02:22:58Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2138v3","created_at":"2026-05-18T02:22:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2138","created_at":"2026-05-18T02:22:58Z"},{"alias_kind":"pith_short_12","alias_value":"JVGQ2EEM2WZJ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JVGQ2EEM2WZJSGDA","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JVGQ2EEM","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JVGQ2EEM2WZJSGDA5JP3UN5RWH","target":"record","payload":{"canonical_record":{"source":{"id":"1101.2138","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-11T15:03:11Z","cross_cats_sorted":[],"title_canon_sha256":"1fe5e5334ba06d8ba2a02129190164cf6a60f2788292262d6ed186c0ea4243f7","abstract_canon_sha256":"af1139d0cbc5699b72d7f31bf41a8ad6640156f0228c7849a974164604262f4a"},"schema_version":"1.0"},"canonical_sha256":"4d4d0d108cd5b2991860ea5fba37b1b1fe2d3078366b93372d9deba89bbe0351","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:58.797602Z","signature_b64":"yMXirf7YJvsjMWl7nGfwlR+dxdG6jLSsIJayWI713cYzVNRXi0gB1FV5xKAm3tb/+Q4SvbWccjllItzILnHSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d4d0d108cd5b2991860ea5fba37b1b1fe2d3078366b93372d9deba89bbe0351","last_reissued_at":"2026-05-18T02:22:58.796966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:58.796966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.2138","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HZ2Qz1ac/C0fjVJBwN9TAEOlWTpaJ4ohaSCs/1zZoqTkQU7n1ioalzCi0Jxm8x+U1Ln/14SaeGfKeu/nfHR6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T23:01:48.873977Z"},"content_sha256":"f13b78cef31fc00d527b7b5f9682cf6082a0f0f080f490602a3c062c3225caa9","schema_version":"1.0","event_id":"sha256:f13b78cef31fc00d527b7b5f9682cf6082a0f0f080f490602a3c062c3225caa9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JVGQ2EEM2WZJSGDA5JP3UN5RWH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibrium search algorithm of a perturbed quasi-integrable system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. Noyelles, N. Delsate, T. Carletti","submitted_at":"2011-01-11T15:03:11Z","abstract_excerpt":"We hereby introduce and study an algorithm able to search for initial conditions corresponding to orbits presenting forced oscillations terms only, namely to completely remove the free or proper oscillating part.\n  This algorithm is based on the Numerical Analysis of the Fundamental Frequencies algorithm by J. Laskar, for the identification of the free and forced oscillations, the former being iteratively removed from the solution by carefully choosing the initial conditions.\n  We proved the convergence of the algorithm under suitable assumptions, satisfied in the Hamiltonian framework wheneve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2138","kind":"arxiv","version":3},"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":"2026-05-18T02:22:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"213/AV4hpW3vWwdzRieSEGpW3OKKQi7qmfohTBtbm23RlS9NvIeD/L25V5xCyZzranyk+vnVYFRXbCaab19vDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T23:01:48.874664Z"},"content_sha256":"c3f3ed4ea2bf0629edf9099b4709a15c4de76fd7afdcb716e718cea1567fb21d","schema_version":"1.0","event_id":"sha256:c3f3ed4ea2bf0629edf9099b4709a15c4de76fd7afdcb716e718cea1567fb21d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH/bundle.json","state_url":"https://pith.science/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH/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":"2026-05-20T23:01:48Z","links":{"resolver":"https://pith.science/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH","bundle":"https://pith.science/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH/bundle.json","state":"https://pith.science/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JVGQ2EEM2WZJSGDA5JP3UN5RWH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JVGQ2EEM2WZJSGDA5JP3UN5RWH","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":"af1139d0cbc5699b72d7f31bf41a8ad6640156f0228c7849a974164604262f4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-11T15:03:11Z","title_canon_sha256":"1fe5e5334ba06d8ba2a02129190164cf6a60f2788292262d6ed186c0ea4243f7"},"schema_version":"1.0","source":{"id":"1101.2138","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2138","created_at":"2026-05-18T02:22:58Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2138v3","created_at":"2026-05-18T02:22:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2138","created_at":"2026-05-18T02:22:58Z"},{"alias_kind":"pith_short_12","alias_value":"JVGQ2EEM2WZJ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JVGQ2EEM2WZJSGDA","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JVGQ2EEM","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:c3f3ed4ea2bf0629edf9099b4709a15c4de76fd7afdcb716e718cea1567fb21d","target":"graph","created_at":"2026-05-18T02:22:58Z","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 hereby introduce and study an algorithm able to search for initial conditions corresponding to orbits presenting forced oscillations terms only, namely to completely remove the free or proper oscillating part.\n  This algorithm is based on the Numerical Analysis of the Fundamental Frequencies algorithm by J. Laskar, for the identification of the free and forced oscillations, the former being iteratively removed from the solution by carefully choosing the initial conditions.\n  We proved the convergence of the algorithm under suitable assumptions, satisfied in the Hamiltonian framework wheneve","authors_text":"B. Noyelles, N. Delsate, T. Carletti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-11T15:03:11Z","title":"Equilibrium search algorithm of a perturbed quasi-integrable system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2138","kind":"arxiv","version":3},"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:f13b78cef31fc00d527b7b5f9682cf6082a0f0f080f490602a3c062c3225caa9","target":"record","created_at":"2026-05-18T02:22:58Z","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":"af1139d0cbc5699b72d7f31bf41a8ad6640156f0228c7849a974164604262f4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-11T15:03:11Z","title_canon_sha256":"1fe5e5334ba06d8ba2a02129190164cf6a60f2788292262d6ed186c0ea4243f7"},"schema_version":"1.0","source":{"id":"1101.2138","kind":"arxiv","version":3}},"canonical_sha256":"4d4d0d108cd5b2991860ea5fba37b1b1fe2d3078366b93372d9deba89bbe0351","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d4d0d108cd5b2991860ea5fba37b1b1fe2d3078366b93372d9deba89bbe0351","first_computed_at":"2026-05-18T02:22:58.796966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:58.796966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yMXirf7YJvsjMWl7nGfwlR+dxdG6jLSsIJayWI713cYzVNRXi0gB1FV5xKAm3tb/+Q4SvbWccjllItzILnHSBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:58.797602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2138","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f13b78cef31fc00d527b7b5f9682cf6082a0f0f080f490602a3c062c3225caa9","sha256:c3f3ed4ea2bf0629edf9099b4709a15c4de76fd7afdcb716e718cea1567fb21d"],"state_sha256":"622a9b84509a2e2d4ab6b536584729c48ad3c0073b0401b5282ea5dd3b267512"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APnFvH06gehiA7CL7r4xY+zrfkeoY2LikWZ92Mp7F2xGHWm0r5Uz8btMx0vC/zZEKsACIR5NI4/vH1IWMoQaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T23:01:48.878013Z","bundle_sha256":"0a7d9d92cffbe83288d915bdba9eedb650b84f2172f6744621b9664a28cafe3e"}}