{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MJWUH44BVGAVM3ZRZAZ7VBQWSY","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":"9eff3bcee50ae4b4d963dfb26934693f0c8e2e2e2c6a01698799a4cfd11f9d64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-02-29T16:26:37Z","title_canon_sha256":"2c75ae602ab3ef4a672aedf6f535bdaf56e4845ab245af4f10e11f847040cbff"},"schema_version":"1.0","source":{"id":"1202.6592","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6592","created_at":"2026-05-18T04:01:12Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6592v1","created_at":"2026-05-18T04:01:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6592","created_at":"2026-05-18T04:01:12Z"},{"alias_kind":"pith_short_12","alias_value":"MJWUH44BVGAV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MJWUH44BVGAVM3ZR","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MJWUH44B","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:9ff0fff4e04bc8ea91553df5dce5d57c3b133db55b59b4285e7b78f41a2154a2","target":"graph","created_at":"2026-05-18T04:01:12Z","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 discover presence of a hitherto unexplored type of resonance in a parametrically excited Van der Pol oscillator. The oscillator also possesses a state of anti-resonance. In the weak non-linear limit, we explain how to practically get a complete picture of different states of limiting oscillations present in the oscillator when the non-linear term therein is excited by an arbitrary $2\\pi$ periodic function of time. We also illustrate how two such oscillators can be coupled to behave like a two-state switch allowing an sharp change of value of amplitude for stable oscillations from one consta","authors_text":"Amartya Sarkar, Sagar Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-02-29T16:26:37Z","title":"Oscillators with Parametrically Excited Nonlinearity: Resonance, Anti-resonance and Switch"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6592","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":"sha256:9986e3599827e7fd4c4c86aca8d9c316ca34024039ca9ae6fb6caf297d8c7c96","target":"record","created_at":"2026-05-18T04:01:12Z","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":"9eff3bcee50ae4b4d963dfb26934693f0c8e2e2e2c6a01698799a4cfd11f9d64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-02-29T16:26:37Z","title_canon_sha256":"2c75ae602ab3ef4a672aedf6f535bdaf56e4845ab245af4f10e11f847040cbff"},"schema_version":"1.0","source":{"id":"1202.6592","kind":"arxiv","version":1}},"canonical_sha256":"626d43f381a981566f31c833fa8616963998ccc58d733bfea3f129bd65a5ce03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"626d43f381a981566f31c833fa8616963998ccc58d733bfea3f129bd65a5ce03","first_computed_at":"2026-05-18T04:01:12.140567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:12.140567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vMkgcwL+iTClKiis+uDw0Usjf8EWVDw7btXdPyF14GNzfYzBPrXrPcNLEqUBQ58EotknVgXmf8nTJZECgM88AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:12.141153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6592","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9986e3599827e7fd4c4c86aca8d9c316ca34024039ca9ae6fb6caf297d8c7c96","sha256:9ff0fff4e04bc8ea91553df5dce5d57c3b133db55b59b4285e7b78f41a2154a2"],"state_sha256":"b1759ac1c9c49d8baca63d34d87504213cd9b34b1f4569a969b32c0fda466655"}