{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BDMM2I3ZFZZOJNDWG6YOAF7SV6","short_pith_number":"pith:BDMM2I3Z","schema_version":"1.0","canonical_sha256":"08d8cd23792e72e4b47637b0e017f2afa9d3abbe9796d54f43cd4771c16a65bc","source":{"kind":"arxiv","id":"1706.00658","version":5},"attestation_state":"computed","paper":{"title":"On the \"generalized Generalized Langevin Equation\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hugues Meyer, Tanja Schilling, Thomas Voigtmann","submitted_at":"2017-06-02T12:33:52Z","abstract_excerpt":"In molecular dynamics simulations and single molecule experiments, observables are usually measured along dynamic trajectories and then averaged over an ensemble (\"bundle\") of trajectories. Under stationary conditions, the time-evolution of such averages is described by the generalized Langevin equation. In contrast, if the dynamics is not stationary, it is not a priori clear which form the equation of motion for an averaged observable has. We employ the formalism of time-dependent projection operator techniques to derive the equation of motion for a non-equilibrium trajectory-averaged observa"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.00658","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-06-02T12:33:52Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"7584959885cc7cc9e490f7e36181da940dfb52e08b6ade933121ef4fc112960a","abstract_canon_sha256":"3019e213c25ca4e31f5dee8c90569387acfef0787b21a78b9d8f07ea4a6aa29f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:57.480602Z","signature_b64":"wVHQECzw414HHsHS3m+89dqs8FM7sfU0F/9LRMfzPPVwv/hGZmI0Rf3Hxh8KeLUhpGiQl7x8uFuxRtYsSkCCAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08d8cd23792e72e4b47637b0e017f2afa9d3abbe9796d54f43cd4771c16a65bc","last_reissued_at":"2026-05-18T00:25:57.479869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:57.479869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the \"generalized Generalized Langevin Equation\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hugues Meyer, Tanja Schilling, Thomas Voigtmann","submitted_at":"2017-06-02T12:33:52Z","abstract_excerpt":"In molecular dynamics simulations and single molecule experiments, observables are usually measured along dynamic trajectories and then averaged over an ensemble (\"bundle\") of trajectories. Under stationary conditions, the time-evolution of such averages is described by the generalized Langevin equation. In contrast, if the dynamics is not stationary, it is not a priori clear which form the equation of motion for an averaged observable has. We employ the formalism of time-dependent projection operator techniques to derive the equation of motion for a non-equilibrium trajectory-averaged observa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00658","kind":"arxiv","version":5},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.00658","created_at":"2026-05-18T00:25:57.479985+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.00658v5","created_at":"2026-05-18T00:25:57.479985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00658","created_at":"2026-05-18T00:25:57.479985+00:00"},{"alias_kind":"pith_short_12","alias_value":"BDMM2I3ZFZZO","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"BDMM2I3ZFZZOJNDW","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"BDMM2I3Z","created_at":"2026-05-18T12:31:08.081275+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6","json":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6.json","graph_json":"https://pith.science/api/pith-number/BDMM2I3ZFZZOJNDWG6YOAF7SV6/graph.json","events_json":"https://pith.science/api/pith-number/BDMM2I3ZFZZOJNDWG6YOAF7SV6/events.json","paper":"https://pith.science/paper/BDMM2I3Z"},"agent_actions":{"view_html":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6","download_json":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6.json","view_paper":"https://pith.science/paper/BDMM2I3Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.00658&json=true","fetch_graph":"https://pith.science/api/pith-number/BDMM2I3ZFZZOJNDWG6YOAF7SV6/graph.json","fetch_events":"https://pith.science/api/pith-number/BDMM2I3ZFZZOJNDWG6YOAF7SV6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6/action/storage_attestation","attest_author":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6/action/author_attestation","sign_citation":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6/action/citation_signature","submit_replication":"https://pith.science/pith/BDMM2I3ZFZZOJNDWG6YOAF7SV6/action/replication_record"}},"created_at":"2026-05-18T00:25:57.479985+00:00","updated_at":"2026-05-18T00:25:57.479985+00:00"}