{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7JHF4JVNN32CZP35US7TIFMKBE","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":"7d967e23b4ce29637666a7a6f528c6f01d38cc0680c353fc6485be6c18768b37","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-02-11T04:47:13Z","title_canon_sha256":"ee126e6b33557e931f6b1a23d03e45cd6c11784f5bc3cfbefe483c856abf6e21"},"schema_version":"1.0","source":{"id":"2202.05443","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.05443","created_at":"2026-07-05T04:05:38Z"},{"alias_kind":"arxiv_version","alias_value":"2202.05443v3","created_at":"2026-07-05T04:05:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.05443","created_at":"2026-07-05T04:05:38Z"},{"alias_kind":"pith_short_12","alias_value":"7JHF4JVNN32C","created_at":"2026-07-05T04:05:38Z"},{"alias_kind":"pith_short_16","alias_value":"7JHF4JVNN32CZP35","created_at":"2026-07-05T04:05:38Z"},{"alias_kind":"pith_short_8","alias_value":"7JHF4JVN","created_at":"2026-07-05T04:05:38Z"}],"graph_snapshots":[{"event_id":"sha256:7babd91d9e421f7d1281e318a226d8b66100fea279f234b06774c85bd7b155bd","target":"graph","created_at":"2026-07-05T04:05:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2202.05443/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This note provides a pedagogical introduction to Langer's theory for activated rate processes in multiple dimensions at the high friction limit, with an emphasis on the connection between the theory and the property of the backward committor/splitting probability near the saddle point. The intended audience is assumed to have some familiarity with linear algebra and statistical mechanics while knowledge of stochastic processes is not strictly necessary.","authors_text":"Lu Hong (University of California, San Francisco)","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-02-11T04:47:13Z","title":"An Introduction To Langer's Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.05443","kind":"arxiv","version":3},"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":"sha256:3a911ab82cbee72e0f2afb76ee2e794e8b344f9d291eebd8d71e44908aa52dad","target":"record","created_at":"2026-07-05T04:05:38Z","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":"7d967e23b4ce29637666a7a6f528c6f01d38cc0680c353fc6485be6c18768b37","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-02-11T04:47:13Z","title_canon_sha256":"ee126e6b33557e931f6b1a23d03e45cd6c11784f5bc3cfbefe483c856abf6e21"},"schema_version":"1.0","source":{"id":"2202.05443","kind":"arxiv","version":3}},"canonical_sha256":"fa4e5e26ad6ef42cbf7da4bf34158a0933f7f958ade25c60bb5325cb1c117ae6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa4e5e26ad6ef42cbf7da4bf34158a0933f7f958ade25c60bb5325cb1c117ae6","first_computed_at":"2026-07-05T04:05:38.620617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:05:38.620617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eQsLFEX+EMDFGp/8XiyF7FKMBzSma0kwbEDMyWS3mCQrzaJtdrHvjGT9F+GBBRzUvWsSQ/Ts0O1gHU3cdiuADA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:05:38.620994Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.05443","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a911ab82cbee72e0f2afb76ee2e794e8b344f9d291eebd8d71e44908aa52dad","sha256:7babd91d9e421f7d1281e318a226d8b66100fea279f234b06774c85bd7b155bd"],"state_sha256":"ae7f5bbff48af2fbdc75c0b521821fd49166fba17e95d0c28d61c0373bfc2458"}