{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:N5UA24NVTLGZZO2WXT5WNPZ7ZM","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":"76369ad77349d758f28fdda648a00ad9380d0ec3f42e342febe422faacba8025","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-06-02T21:47:19Z","title_canon_sha256":"13c5aea1406be04d207c8dff24697ad7da068f6e0592b219f74a98eef25260ba"},"schema_version":"1.0","source":{"id":"1606.00907","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00907","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00907v1","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00907","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"pith_short_12","alias_value":"N5UA24NVTLGZ","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N5UA24NVTLGZZO2W","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N5UA24NV","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:52d167ac2420b09d356b3b0e337d3810a285f42b30995447b3e2581776e36526","target":"graph","created_at":"2026-05-18T01:13:00Z","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":"The bifurcation method is a way to do rare event sampling -- to estimate the probability of events that are too rare to be found by direct simulation. We describe the bifurcation method and use it to estimate the transition rate of a double well potential problem. We show that the associated constrained path sampling problem can be addressed by a combination of Crooks-Chandler sampling and parallel tempering and marginalization.","authors_text":"Hongliang Liu, Jonathan Goodman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-06-02T21:47:19Z","title":"A Bifurcation Monte Carlo Scheme for Rare Event Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00907","kind":"arxiv","version":1},"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:f4c9c49df2489790709d6abdb8cce54b792d95a93ba586bf90ae9feed5621b4c","target":"record","created_at":"2026-05-18T01:13:00Z","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":"76369ad77349d758f28fdda648a00ad9380d0ec3f42e342febe422faacba8025","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-06-02T21:47:19Z","title_canon_sha256":"13c5aea1406be04d207c8dff24697ad7da068f6e0592b219f74a98eef25260ba"},"schema_version":"1.0","source":{"id":"1606.00907","kind":"arxiv","version":1}},"canonical_sha256":"6f680d71b59acd9cbb56bcfb66bf3fcb288eeef7a2df40abce7ec06f9ce82601","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f680d71b59acd9cbb56bcfb66bf3fcb288eeef7a2df40abce7ec06f9ce82601","first_computed_at":"2026-05-18T01:13:00.087709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:00.087709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hbyTMBNQaGfraJh3w3uM5T71oy2oHU+IczA0ra0UhYPq6dRP0Zfg9j+VsNZmbZaAvnZAMhXEanq0FvzQimufDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:00.088155Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00907","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4c9c49df2489790709d6abdb8cce54b792d95a93ba586bf90ae9feed5621b4c","sha256:52d167ac2420b09d356b3b0e337d3810a285f42b30995447b3e2581776e36526"],"state_sha256":"05c2350e4e22ecd9fa15fa96d960db06d9040686615481e99a5d249c071a7a2f"}