{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AGERWQ6HTTO2CORTDCAEMNH3H2","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":"42f1d871a83df65ea8ed761b36b392263c3731a46bb49ea33d79028c3a4f29b0","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-07-11T01:41:02Z","title_canon_sha256":"4839d308f8e3f6792d37db5b43dc6de47cb74a87eb12197fbc2bfb68e1d79fba"},"schema_version":"1.0","source":{"id":"1807.04634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.04634","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.04634v1","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04634","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"AGERWQ6HTTO2","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AGERWQ6HTTO2CORT","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AGERWQ6H","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:0866a6c0b0a95d2977e0d6c1758e728dda7b03eed3c87acae2734fbba1fc936b","target":"graph","created_at":"2026-05-18T00:10:52Z","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 show that any continuously differentiable force is decomposed into the sum of a Rayleigh force and a gyroscopic force. We also extend this result to piecewise continuously differentiable forces. Our result improves the result on the decomposition of forces in a book by David Merkin and further extends it to piecewise continuously differentiable forces.","authors_text":"Dong Eui Chang","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-07-11T01:41:02Z","title":"On the Decomposition of Forces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04634","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":"sha256:26bff480139e42851758679fd0c7c6bd637eeaff6749bdfa73ca994331544d45","target":"record","created_at":"2026-05-18T00:10:52Z","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":"42f1d871a83df65ea8ed761b36b392263c3731a46bb49ea33d79028c3a4f29b0","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-07-11T01:41:02Z","title_canon_sha256":"4839d308f8e3f6792d37db5b43dc6de47cb74a87eb12197fbc2bfb68e1d79fba"},"schema_version":"1.0","source":{"id":"1807.04634","kind":"arxiv","version":1}},"canonical_sha256":"01891b43c79cdda13a3318804634fb3e82645520b8ceaf279c75feb4bf842758","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01891b43c79cdda13a3318804634fb3e82645520b8ceaf279c75feb4bf842758","first_computed_at":"2026-05-18T00:10:52.931551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:52.931551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/FFPEpYAHbccjNGwflSJOdhzg9HufJ15lLkdaEsahWMu4/u4zaaXonvsOb/UD34klyv+KzBwwZ0liiE7YePFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:52.932280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.04634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26bff480139e42851758679fd0c7c6bd637eeaff6749bdfa73ca994331544d45","sha256:0866a6c0b0a95d2977e0d6c1758e728dda7b03eed3c87acae2734fbba1fc936b"],"state_sha256":"63f545a9ca9d9a7f8a9b5289f0138418bfaf6326632d7a77b49c8f34df60ab99"}