{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:XGX7PBIPVVEGUO6E2D6JHP7JHJ","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":"0f078337e1125eb2816cc09250d9700d54cfb915717a41174fc73046a606c9c4","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2006-06-12T16:14:49Z","title_canon_sha256":"5205f6246e896cc2747e2313479be749f320dd552d9d92e7ce80f9b8314632c8"},"schema_version":"1.0","source":{"id":"math-ph/0606034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0606034","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0606034v1","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0606034","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"pith_short_12","alias_value":"XGX7PBIPVVEG","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"XGX7PBIPVVEGUO6E","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"XGX7PBIP","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:a69645c9d857f4d879bfa8c1c361bef2d4f02c77dcc43f6ef8615b4161841c1f","target":"graph","created_at":"2026-05-18T01:38:32Z","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 present a method to obtain arbitrarily accurate solutions for conservative classical oscillators. The method that we propose here works both for small and large nonlinearities and provides simple analytical approximations. A comparison with the standard Lindstedt-Poincar\\'e method is presented, from which the advantages of our method are clear.","authors_text":"Nestor Sanchez, Paolo Amore","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2006-06-12T16:14:49Z","title":"Development of accurate solutions for a classical oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0606034","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":"sha256:991dbed3c4c1d15ccd5df7c974e81882fa5a0f54621b127048ad9ad405919e2d","target":"record","created_at":"2026-05-18T01:38:32Z","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":"0f078337e1125eb2816cc09250d9700d54cfb915717a41174fc73046a606c9c4","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2006-06-12T16:14:49Z","title_canon_sha256":"5205f6246e896cc2747e2313479be749f320dd552d9d92e7ce80f9b8314632c8"},"schema_version":"1.0","source":{"id":"math-ph/0606034","kind":"arxiv","version":1}},"canonical_sha256":"b9aff7850fad486a3bc4d0fc93bfe93a7690ea8e4caf823dc6da3ac0c59e0e42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9aff7850fad486a3bc4d0fc93bfe93a7690ea8e4caf823dc6da3ac0c59e0e42","first_computed_at":"2026-05-18T01:38:32.802831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:32.802831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bPfJGgHaN43YwbP4zgGZIgptkVwihWoMP12bu3xQ9SZOL8e+NJdCMIF+umyWGCHxwO+t3N+h4kqBGd+DoxV6CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:32.803621Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0606034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:991dbed3c4c1d15ccd5df7c974e81882fa5a0f54621b127048ad9ad405919e2d","sha256:a69645c9d857f4d879bfa8c1c361bef2d4f02c77dcc43f6ef8615b4161841c1f"],"state_sha256":"4f8276073069c8aae3756f2a0ef2b9ec997dd833888eda81550ab8f5ba2e5df1"}