{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CHUL2ZEXR5VAAANLX6MR36YUDQ","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":"c83d7b3d3ac363f4b3fdbed40f4d5343801927b0d3d47ceb50ef0c053f90ce5f","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-12-06T20:37:09Z","title_canon_sha256":"3d68409f4ce5a7978779d2d69b4c72b7ff7b3c62fabb113adc43131e73d38baf"},"schema_version":"1.0","source":{"id":"1512.01830","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01830","created_at":"2026-05-18T01:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01830v1","created_at":"2026-05-18T01:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01830","created_at":"2026-05-18T01:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"CHUL2ZEXR5VA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CHUL2ZEXR5VAAANL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CHUL2ZEX","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:f3a7bf34d61c8e4ee030b09826dc20750ba825ba79d13c5c19fa288167aec934","target":"graph","created_at":"2026-05-18T01:15:43Z","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":"Using a Lagrangian framework, we study overdamping phenomena in gyroscopic systems composed of two components, one of which is highly lossy and the other is lossless. The losses are accounted by a Rayleigh dissipative function. As we have shown previously, for such a composite system the modes split into two distinct classes, high-loss and low-loss, according to their dissipative behavior. A principal result of this paper is that for any such system a rather universal phenomenon of selective overdamping occurs. Namely, first of all the high-loss modes are all overdamped, i.e., non-oscillatory,","authors_text":"Aaron Welters, Alexander Figotin","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-12-06T20:37:09Z","title":"On overdamping phenomena in gyroscopic systems composed of high-loss and lossless components"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01830","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":"sha256:2179fef84de874608d23f5ce84581ed9e594dfa150b8ea9b8e672f61cf8373e0","target":"record","created_at":"2026-05-18T01:15:43Z","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":"c83d7b3d3ac363f4b3fdbed40f4d5343801927b0d3d47ceb50ef0c053f90ce5f","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-12-06T20:37:09Z","title_canon_sha256":"3d68409f4ce5a7978779d2d69b4c72b7ff7b3c62fabb113adc43131e73d38baf"},"schema_version":"1.0","source":{"id":"1512.01830","kind":"arxiv","version":1}},"canonical_sha256":"11e8bd64978f6a0001abbf991dfb141c27e8fdb9d9aa182e5d0d0aa4185dba79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11e8bd64978f6a0001abbf991dfb141c27e8fdb9d9aa182e5d0d0aa4185dba79","first_computed_at":"2026-05-18T01:15:43.717862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:43.717862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RfG15riAgGqbZvQ2m8w6t1t4b7tgvx7opypuekW0Yt+myyYADBc6vPyXRQ7xFJSIDmHLHNdb+YJ0/K6FY4ZVCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:43.718389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01830","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2179fef84de874608d23f5ce84581ed9e594dfa150b8ea9b8e672f61cf8373e0","sha256:f3a7bf34d61c8e4ee030b09826dc20750ba825ba79d13c5c19fa288167aec934"],"state_sha256":"ffbb6b285de86e18b840294c3f18489bd283de35cc4298a455d6893cdaca369c"}