{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:NUJKSARDN7BXD5MG3U6RVYHAII","short_pith_number":"pith:NUJKSARD","schema_version":"1.0","canonical_sha256":"6d12a902236fc371f586dd3d1ae0e042155fb5698ce32aef682c5795e6e152b9","source":{"kind":"arxiv","id":"0907.1844","version":1},"attestation_state":"computed","paper":{"title":"Mean field approximation in conformation dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Gero Friesecke, Oliver Junge, P\\'eter Koltai","submitted_at":"2009-07-10T15:33:18Z","abstract_excerpt":"We propose a new approach to the transfer operator based analysis of the conformation dynamics of molecules. It is based on a statistical independence ansatz for the eigenfunctions of the operator related to a partitioning into subsystems. Numerical tests performed on small systems show excellent qualitative agreement between mean field and exact model, at greatly reduced computational cost."},"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":"0907.1844","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-07-10T15:33:18Z","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"title_canon_sha256":"c6f5aa24c54756dcaa5af836fd7552dc1bc5da01e7f8ea1545cc42da7a0f5c77","abstract_canon_sha256":"3dad7eb101c83fc468131b89015c34dd6d23685568abe47808837110d6c647c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:27.675170Z","signature_b64":"4DYxkNUfFu0mU9wKG//SdVmTYWH2PH0W6MBGIHwx19aKf5fMSgjCVd9EtieZo5wVg6/eDc/ulyDg9HDwqHWLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d12a902236fc371f586dd3d1ae0e042155fb5698ce32aef682c5795e6e152b9","last_reissued_at":"2026-06-03T23:06:27.674752Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:27.674752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean field approximation in conformation dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Gero Friesecke, Oliver Junge, P\\'eter Koltai","submitted_at":"2009-07-10T15:33:18Z","abstract_excerpt":"We propose a new approach to the transfer operator based analysis of the conformation dynamics of molecules. It is based on a statistical independence ansatz for the eigenfunctions of the operator related to a partitioning into subsystems. Numerical tests performed on small systems show excellent qualitative agreement between mean field and exact model, at greatly reduced computational cost."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1844","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0907.1844/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0907.1844","created_at":"2026-06-03T23:06:27.674815+00:00"},{"alias_kind":"arxiv_version","alias_value":"0907.1844v1","created_at":"2026-06-03T23:06:27.674815+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1844","created_at":"2026-06-03T23:06:27.674815+00:00"},{"alias_kind":"pith_short_12","alias_value":"NUJKSARDN7BX","created_at":"2026-06-03T23:06:27.674815+00:00"},{"alias_kind":"pith_short_16","alias_value":"NUJKSARDN7BXD5MG","created_at":"2026-06-03T23:06:27.674815+00:00"},{"alias_kind":"pith_short_8","alias_value":"NUJKSARD","created_at":"2026-06-03T23:06:27.674815+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/NUJKSARDN7BXD5MG3U6RVYHAII","json":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII.json","graph_json":"https://pith.science/api/pith-number/NUJKSARDN7BXD5MG3U6RVYHAII/graph.json","events_json":"https://pith.science/api/pith-number/NUJKSARDN7BXD5MG3U6RVYHAII/events.json","paper":"https://pith.science/paper/NUJKSARD"},"agent_actions":{"view_html":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII","download_json":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII.json","view_paper":"https://pith.science/paper/NUJKSARD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0907.1844&json=true","fetch_graph":"https://pith.science/api/pith-number/NUJKSARDN7BXD5MG3U6RVYHAII/graph.json","fetch_events":"https://pith.science/api/pith-number/NUJKSARDN7BXD5MG3U6RVYHAII/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII/action/storage_attestation","attest_author":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII/action/author_attestation","sign_citation":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII/action/citation_signature","submit_replication":"https://pith.science/pith/NUJKSARDN7BXD5MG3U6RVYHAII/action/replication_record"}},"created_at":"2026-06-03T23:06:27.674815+00:00","updated_at":"2026-06-03T23:06:27.674815+00:00"}