{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB","short_pith_number":"pith:IQ3CEZGQ","schema_version":"1.0","canonical_sha256":"44362264d0c6f25c2b3dc6838d385f084461571f57e26a94b8c691b9fc7142ef","source":{"kind":"arxiv","id":"1802.10046","version":3},"attestation_state":"computed","paper":{"title":"Duality Between Relaxation and First Passage in Reversible Markov Dynamics: Rugged Energy Landscapes Disentangled","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.bio-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aljaz Godec, David Hartich","submitted_at":"2018-02-27T17:53:04Z","abstract_excerpt":"Relaxation and first passage processes are the pillars of kinetics in condensed matter, polymeric and single-molecule systems. Yet, an explicit connection between relaxation and first passage time-scales so far remained elusive. Here we prove a duality between them in the form of an interlacing of spectra. In the basic form the duality holds for reversible Markov processes to effectively one-dimensional targets. The exploration of a triple-well potential is analyzed to demonstrate how the duality allows for an intuitive understanding of first passage trajectories in terms of relaxational eigen"},"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":"1802.10046","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-27T17:53:04Z","cross_cats_sorted":["math-ph","math.MP","physics.bio-ph"],"title_canon_sha256":"e6ecd673e694a370ba0681646bcd7135c75d07e77aa5784beebc3959bb1d178c","abstract_canon_sha256":"2e0d5272ca49107bf5d2d9f488d61d79eb1746fa5440cca0f2337497b4538cc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:58.112034Z","signature_b64":"4CRuWZ057uZBV3WeuiAY00Yq+4GCGj50MaSiHSZpSvaxZCuxHRt9+FxChmnwFT8DPydhda7i4ENXmU+a4/xGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44362264d0c6f25c2b3dc6838d385f084461571f57e26a94b8c691b9fc7142ef","last_reissued_at":"2026-05-17T23:59:58.111397Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:58.111397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Duality Between Relaxation and First Passage in Reversible Markov Dynamics: Rugged Energy Landscapes Disentangled","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.bio-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aljaz Godec, David Hartich","submitted_at":"2018-02-27T17:53:04Z","abstract_excerpt":"Relaxation and first passage processes are the pillars of kinetics in condensed matter, polymeric and single-molecule systems. Yet, an explicit connection between relaxation and first passage time-scales so far remained elusive. Here we prove a duality between them in the form of an interlacing of spectra. In the basic form the duality holds for reversible Markov processes to effectively one-dimensional targets. The exploration of a triple-well potential is analyzed to demonstrate how the duality allows for an intuitive understanding of first passage trajectories in terms of relaxational eigen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.10046","kind":"arxiv","version":3},"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":"1802.10046","created_at":"2026-05-17T23:59:58.111503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.10046v3","created_at":"2026-05-17T23:59:58.111503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.10046","created_at":"2026-05-17T23:59:58.111503+00:00"},{"alias_kind":"pith_short_12","alias_value":"IQ3CEZGQY3ZF","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"IQ3CEZGQY3ZFYKZ5","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"IQ3CEZGQ","created_at":"2026-05-18T12:32:31.084164+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/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB","json":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB.json","graph_json":"https://pith.science/api/pith-number/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/graph.json","events_json":"https://pith.science/api/pith-number/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/events.json","paper":"https://pith.science/paper/IQ3CEZGQ"},"agent_actions":{"view_html":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB","download_json":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB.json","view_paper":"https://pith.science/paper/IQ3CEZGQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.10046&json=true","fetch_graph":"https://pith.science/api/pith-number/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/graph.json","fetch_events":"https://pith.science/api/pith-number/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/action/storage_attestation","attest_author":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/action/author_attestation","sign_citation":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/action/citation_signature","submit_replication":"https://pith.science/pith/IQ3CEZGQY3ZFYKZ5Y2BY2OC7BB/action/replication_record"}},"created_at":"2026-05-17T23:59:58.111503+00:00","updated_at":"2026-05-17T23:59:58.111503+00:00"}