{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BRJ4HRLMCMYOO7L7G2FLTLLGON","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":"540f8a7da3f8b9ab8457acd6fc63713aff7efc5c80db5eea73ba34e91f84c021","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-08-22T08:47:59Z","title_canon_sha256":"9e9d3d3354c7bc9efd52ee27657e2510959edf20936fbb0fa2fe3e4e821ee046"},"schema_version":"1.0","source":{"id":"1308.4794","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4794","created_at":"2026-05-18T02:52:58Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4794v2","created_at":"2026-05-18T02:52:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4794","created_at":"2026-05-18T02:52:58Z"},{"alias_kind":"pith_short_12","alias_value":"BRJ4HRLMCMYO","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BRJ4HRLMCMYOO7L7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BRJ4HRLM","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:b2449aceac5822b476f792cced9b9809f2cf5bbbb5a35c69ee5ca5a302351a06","target":"graph","created_at":"2026-05-18T02:52:58Z","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 study the dynamics of the oscillating gauged scalar field in a thermal bath. A Langevin type equation of motion of the scalar field, which contains both dissipation and fluctuation terms, is derived by using the real-time finite temperature effective action approach. The existence of the quantum fluctuation-dissipation relation between the non-local dissipation term and the Gaussian stochastic noise terms is verified. We find the noise variables are anti-correlated at equal-time. The dissipation rate for the each mode is also studied, which turns out to depend on the wavenumber.","authors_text":"Hayato Motohashi, Jun'ichi Yokoyama, Teruaki Suyama, Yuhei Miyamoto","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-08-22T08:47:59Z","title":"Langevin description of gauged scalar fields in a thermal bath"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4794","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":"sha256:13c89fa6ecbd84f3d1ff352a9c81432d51d180a57de19e6f54a99b2a926b8347","target":"record","created_at":"2026-05-18T02:52:58Z","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":"540f8a7da3f8b9ab8457acd6fc63713aff7efc5c80db5eea73ba34e91f84c021","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-08-22T08:47:59Z","title_canon_sha256":"9e9d3d3354c7bc9efd52ee27657e2510959edf20936fbb0fa2fe3e4e821ee046"},"schema_version":"1.0","source":{"id":"1308.4794","kind":"arxiv","version":2}},"canonical_sha256":"0c53c3c56c1330e77d7f368ab9ad667377c3295ccec47bc28c69c22c36d88525","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c53c3c56c1330e77d7f368ab9ad667377c3295ccec47bc28c69c22c36d88525","first_computed_at":"2026-05-18T02:52:58.389499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:58.389499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e2bt/Ph8Bu64m+pGpmewlW+Xb05I7vtGN89/aLcqyMQKVmxd7x7tTFzSt8wQHSGTzV5FVbutwXdcfaHrfMZaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:58.390142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4794","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13c89fa6ecbd84f3d1ff352a9c81432d51d180a57de19e6f54a99b2a926b8347","sha256:b2449aceac5822b476f792cced9b9809f2cf5bbbb5a35c69ee5ca5a302351a06"],"state_sha256":"a27d98ea4b869209136ac4db007bdb17e387301132e5b49c21cd3855a96ccf23"}