{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:A6MT33SDBNRQQDEPY73ZUDB7NF","short_pith_number":"pith:A6MT33SD","canonical_record":{"source":{"id":"1411.6973","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-11-21T19:35:25Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"d1a40d0ae3449ccd29a3e3b96778f814443c7515e0237d876742642398be357b","abstract_canon_sha256":"6c1845e061d9013f12ba5047171f69b463f96e26c0221ab375197240c860e66b"},"schema_version":"1.0"},"canonical_sha256":"07993dee430b63080c8fc7f79a0c3f695a7654d78118e4c19c82abc1b8595369","source":{"kind":"arxiv","id":"1411.6973","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6973","created_at":"2026-05-18T01:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6973v2","created_at":"2026-05-18T01:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6973","created_at":"2026-05-18T01:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"A6MT33SDBNRQ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A6MT33SDBNRQQDEP","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A6MT33SD","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:A6MT33SDBNRQQDEPY73ZUDB7NF","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6973","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-11-21T19:35:25Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"d1a40d0ae3449ccd29a3e3b96778f814443c7515e0237d876742642398be357b","abstract_canon_sha256":"6c1845e061d9013f12ba5047171f69b463f96e26c0221ab375197240c860e66b"},"schema_version":"1.0"},"canonical_sha256":"07993dee430b63080c8fc7f79a0c3f695a7654d78118e4c19c82abc1b8595369","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:19.007779Z","signature_b64":"jtR8xjFyGBJSU3d1vQPrvwHxFl6uSv2+RRfXEKj4w/0woFCzcRvZ/PT2Tp1tJYCp7616oSO+usJYa6VbZ3i9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07993dee430b63080c8fc7f79a0c3f695a7654d78118e4c19c82abc1b8595369","last_reissued_at":"2026-05-18T01:22:19.006956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:19.006956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6973","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":"2026-05-18T01:22:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0tx4jnnoB/9/DpAZQfZezqSjmQV9jFCTZw28l8+J8fUeYmfVa//9/NLPLSzCPm6gO4RLTL9n1f3WZdK9uYiEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:53:44.325631Z"},"content_sha256":"474d2d1ba0968ef750ae451ec290d70c89cb4f19dc080728220f18ab739db299","schema_version":"1.0","event_id":"sha256:474d2d1ba0968ef750ae451ec290d70c89cb4f19dc080728220f18ab739db299"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:A6MT33SDBNRQQDEPY73ZUDB7NF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"cs.SY","authors_text":"Brian B. Johnson, Florian Dorfler, Mohit Sinha, Sairaj V. Dhople","submitted_at":"2014-11-21T19:35:25Z","abstract_excerpt":"This paper examines the dynamics of power-electronic inverters in islanded microgrids that are controlled to emulate the dynamics of Van der Pol oscillators. The general strategy of controlling inverters to emulate the behavior of nonlinear oscillators presents a compelling time-domain alternative to ubiquitous droop control methods which presume the existence of a quasi-stationary sinusoidal steady state and operate on phasor quantities. We present two main results in this work. First, by leveraging the method of periodic averaging, we demonstrate that droop laws are intrinsically embedded wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6973","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":"2026-05-18T01:22:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WffYb7CLC1Copq2WGr8edWsPXdmq3xyPXxlASdqIZYaKMDevCzr7qxfKQGtO+2wEQPYmhXmA7L6Luos8TUvBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:53:44.326422Z"},"content_sha256":"770ce068462e1aa1fb20c032b2a404951b4ad73334a49206052a4ec18742c49e","schema_version":"1.0","event_id":"sha256:770ce068462e1aa1fb20c032b2a404951b4ad73334a49206052a4ec18742c49e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A6MT33SDBNRQQDEPY73ZUDB7NF/bundle.json","state_url":"https://pith.science/pith/A6MT33SDBNRQQDEPY73ZUDB7NF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A6MT33SDBNRQQDEPY73ZUDB7NF/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":"2026-05-31T23:53:44Z","links":{"resolver":"https://pith.science/pith/A6MT33SDBNRQQDEPY73ZUDB7NF","bundle":"https://pith.science/pith/A6MT33SDBNRQQDEPY73ZUDB7NF/bundle.json","state":"https://pith.science/pith/A6MT33SDBNRQQDEPY73ZUDB7NF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A6MT33SDBNRQQDEPY73ZUDB7NF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:A6MT33SDBNRQQDEPY73ZUDB7NF","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":"6c1845e061d9013f12ba5047171f69b463f96e26c0221ab375197240c860e66b","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-11-21T19:35:25Z","title_canon_sha256":"d1a40d0ae3449ccd29a3e3b96778f814443c7515e0237d876742642398be357b"},"schema_version":"1.0","source":{"id":"1411.6973","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6973","created_at":"2026-05-18T01:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6973v2","created_at":"2026-05-18T01:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6973","created_at":"2026-05-18T01:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"A6MT33SDBNRQ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A6MT33SDBNRQQDEP","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A6MT33SD","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:770ce068462e1aa1fb20c032b2a404951b4ad73334a49206052a4ec18742c49e","target":"graph","created_at":"2026-05-18T01:22:19Z","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":"This paper examines the dynamics of power-electronic inverters in islanded microgrids that are controlled to emulate the dynamics of Van der Pol oscillators. The general strategy of controlling inverters to emulate the behavior of nonlinear oscillators presents a compelling time-domain alternative to ubiquitous droop control methods which presume the existence of a quasi-stationary sinusoidal steady state and operate on phasor quantities. We present two main results in this work. First, by leveraging the method of periodic averaging, we demonstrate that droop laws are intrinsically embedded wi","authors_text":"Brian B. Johnson, Florian Dorfler, Mohit Sinha, Sairaj V. Dhople","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-11-21T19:35:25Z","title":"Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6973","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":"sha256:474d2d1ba0968ef750ae451ec290d70c89cb4f19dc080728220f18ab739db299","target":"record","created_at":"2026-05-18T01:22:19Z","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":"6c1845e061d9013f12ba5047171f69b463f96e26c0221ab375197240c860e66b","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-11-21T19:35:25Z","title_canon_sha256":"d1a40d0ae3449ccd29a3e3b96778f814443c7515e0237d876742642398be357b"},"schema_version":"1.0","source":{"id":"1411.6973","kind":"arxiv","version":2}},"canonical_sha256":"07993dee430b63080c8fc7f79a0c3f695a7654d78118e4c19c82abc1b8595369","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07993dee430b63080c8fc7f79a0c3f695a7654d78118e4c19c82abc1b8595369","first_computed_at":"2026-05-18T01:22:19.006956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:19.006956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jtR8xjFyGBJSU3d1vQPrvwHxFl6uSv2+RRfXEKj4w/0woFCzcRvZ/PT2Tp1tJYCp7616oSO+usJYa6VbZ3i9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:19.007779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6973","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:474d2d1ba0968ef750ae451ec290d70c89cb4f19dc080728220f18ab739db299","sha256:770ce068462e1aa1fb20c032b2a404951b4ad73334a49206052a4ec18742c49e"],"state_sha256":"2bfd91ccba6994ec634d43b749134d6178e1841deaee05cbcdc4c6149f13f1e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EARqYQ6Grya4fzzNTHKh91IL/hgzRcQmN/H+daz7/aBci0YPFNTxqyQU/Gs0mhRfounH8nghcg8WlHu+arQGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:53:44.330696Z","bundle_sha256":"0bbde7292bd4cc7153dce34c4c6738bd6d46cc7971cb189ec0e43520bade4d56"}}