{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:E4IY7V3W4CYB6E5ZQWO4FRQYDP","short_pith_number":"pith:E4IY7V3W","canonical_record":{"source":{"id":"1412.0904","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2014-12-02T13:28:12Z","cross_cats_sorted":["cs.NA","cs.SC","cs.SY","math.CA"],"title_canon_sha256":"e59e084657b81218162f10fe6774565f7bc2449ab507da5ce2ead438b103c555","abstract_canon_sha256":"a3fa6c01db8103421ebde630d102c0a7f3a8f0a621b5d407f5828f97ecc97b44"},"schema_version":"1.0"},"canonical_sha256":"27118fd776e0b01f13b9859dc2c6181bc30c3e507f72f66ac8cc539229b50552","source":{"kind":"arxiv","id":"1412.0904","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0904","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0904v2","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0904","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"E4IY7V3W4CYB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E4IY7V3W4CYB6E5Z","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E4IY7V3W","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:E4IY7V3W4CYB6E5ZQWO4FRQYDP","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0904","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2014-12-02T13:28:12Z","cross_cats_sorted":["cs.NA","cs.SC","cs.SY","math.CA"],"title_canon_sha256":"e59e084657b81218162f10fe6774565f7bc2449ab507da5ce2ead438b103c555","abstract_canon_sha256":"a3fa6c01db8103421ebde630d102c0a7f3a8f0a621b5d407f5828f97ecc97b44"},"schema_version":"1.0"},"canonical_sha256":"27118fd776e0b01f13b9859dc2c6181bc30c3e507f72f66ac8cc539229b50552","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:07.650534Z","signature_b64":"ysRa0+OvqQ6ZzhyRVSGGJ3B2LsF/UBuYzvWqPllWNoW+ivVwx1jlyxVdu3As//Fl7oqMj3XeEn3WmS+2UmFPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27118fd776e0b01f13b9859dc2c6181bc30c3e507f72f66ac8cc539229b50552","last_reissued_at":"2026-05-18T00:51:07.649975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:07.649975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0904","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":"2026-05-18T00:51:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cO0eHoTSHZovSHsLHrOW/E81el5T5x7Z+KPFQtc2SE5OxfK1zt0n4GSCLCdln9ufoE43Br+i/vhovpaY55hQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:35:26.912685Z"},"content_sha256":"e63ea74f55b95613b93a14d05a90b30d7d42a823075604e084186134d7dcfc77","schema_version":"1.0","event_id":"sha256:e63ea74f55b95613b93a14d05a90b30d7d42a823075604e084186134d7dcfc77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:E4IY7V3W4CYB6E5ZQWO4FRQYDP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finding Semi-Analytic Solutions of Power System Differential-Algebraic Equations for Fast Transient Stability Simulation","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.NA","cs.SC","cs.SY","math.CA"],"primary_cat":"math.DS","authors_text":"Kai Sun, Nan Duan","submitted_at":"2014-12-02T13:28:12Z","abstract_excerpt":"This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the initial state and the parameters on system operating conditions, and hence able to directly give trajectories on system state variables, which are accurate for at least a certain time window. A two-stage SAS-based approach for fast transient stability simulation is proposed, which offline derives the SAS by the Adomian Decomposition Method and online evaluates the SAS for each of sequential time windows until making u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0904","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":"2026-05-18T00:51:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XlRPmdu6XZ0Gx7hIDqjx9THer5rQ2kfXOG0JenIDuOnJoo/mRqtSYmpf81pnpPZf8EvqNkbdEw/QFe8s0PLIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:35:26.913044Z"},"content_sha256":"f95a78afc4aeb5e81f7e8ab0a66c961b9cfebc779fcc708eb8b4ff677684ae5b","schema_version":"1.0","event_id":"sha256:f95a78afc4aeb5e81f7e8ab0a66c961b9cfebc779fcc708eb8b4ff677684ae5b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP/bundle.json","state_url":"https://pith.science/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP/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":"2026-06-08T14:35:26Z","links":{"resolver":"https://pith.science/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP","bundle":"https://pith.science/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP/bundle.json","state":"https://pith.science/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E4IY7V3W4CYB6E5ZQWO4FRQYDP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:E4IY7V3W4CYB6E5ZQWO4FRQYDP","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":"a3fa6c01db8103421ebde630d102c0a7f3a8f0a621b5d407f5828f97ecc97b44","cross_cats_sorted":["cs.NA","cs.SC","cs.SY","math.CA"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2014-12-02T13:28:12Z","title_canon_sha256":"e59e084657b81218162f10fe6774565f7bc2449ab507da5ce2ead438b103c555"},"schema_version":"1.0","source":{"id":"1412.0904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0904","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0904v2","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0904","created_at":"2026-05-18T00:51:07Z"},{"alias_kind":"pith_short_12","alias_value":"E4IY7V3W4CYB","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E4IY7V3W4CYB6E5Z","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E4IY7V3W","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:f95a78afc4aeb5e81f7e8ab0a66c961b9cfebc779fcc708eb8b4ff677684ae5b","target":"graph","created_at":"2026-05-18T00:51:07Z","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 studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the initial state and the parameters on system operating conditions, and hence able to directly give trajectories on system state variables, which are accurate for at least a certain time window. A two-stage SAS-based approach for fast transient stability simulation is proposed, which offline derives the SAS by the Adomian Decomposition Method and online evaluates the SAS for each of sequential time windows until making u","authors_text":"Kai Sun, Nan Duan","cross_cats":["cs.NA","cs.SC","cs.SY","math.CA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2014-12-02T13:28:12Z","title":"Finding Semi-Analytic Solutions of Power System Differential-Algebraic Equations for Fast Transient Stability Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0904","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:e63ea74f55b95613b93a14d05a90b30d7d42a823075604e084186134d7dcfc77","target":"record","created_at":"2026-05-18T00:51:07Z","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":"a3fa6c01db8103421ebde630d102c0a7f3a8f0a621b5d407f5828f97ecc97b44","cross_cats_sorted":["cs.NA","cs.SC","cs.SY","math.CA"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2014-12-02T13:28:12Z","title_canon_sha256":"e59e084657b81218162f10fe6774565f7bc2449ab507da5ce2ead438b103c555"},"schema_version":"1.0","source":{"id":"1412.0904","kind":"arxiv","version":2}},"canonical_sha256":"27118fd776e0b01f13b9859dc2c6181bc30c3e507f72f66ac8cc539229b50552","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27118fd776e0b01f13b9859dc2c6181bc30c3e507f72f66ac8cc539229b50552","first_computed_at":"2026-05-18T00:51:07.649975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:07.649975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ysRa0+OvqQ6ZzhyRVSGGJ3B2LsF/UBuYzvWqPllWNoW+ivVwx1jlyxVdu3As//Fl7oqMj3XeEn3WmS+2UmFPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:07.650534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e63ea74f55b95613b93a14d05a90b30d7d42a823075604e084186134d7dcfc77","sha256:f95a78afc4aeb5e81f7e8ab0a66c961b9cfebc779fcc708eb8b4ff677684ae5b"],"state_sha256":"5acd699c638649f1044f0915baf9fb0e2dbbe7ea91f20053a3f150748e55d3fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KuDBfEbn6hZXn1axE6GzhrsFGW+YsT/nxoKzmUJQbRVxwYORmBMaRolO4tS4NKK6rgPyCOOhfymso724lV0mDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:35:26.915000Z","bundle_sha256":"cc0956cc21c78e2e4a8cfc1e2c20da6b4edaea7099a5cef7019a5e33f0c2a755"}}