{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DWUSRQJ6U36XMXOMBZJHSXNWVM","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":"62559bd20532630acad28d1322ff397657e15053e8e9fe55bd928ed0e2f0049d","cross_cats_sorted":["cs.CC","cs.IT","math.IT","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-24T23:54:05Z","title_canon_sha256":"0d85e868a9a1642187588e0ebc73f7a9163987d29c9c5d45f72e310b3af53099"},"schema_version":"1.0","source":{"id":"1610.07685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07685","created_at":"2026-05-18T00:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07685v1","created_at":"2026-05-18T00:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07685","created_at":"2026-05-18T00:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"DWUSRQJ6U36X","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DWUSRQJ6U36XMXOM","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DWUSRQJ6","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:96c936aa5f37ac661f031b7dd996b7b143aa29b8eec93177f027e4cda695493d","target":"graph","created_at":"2026-05-18T00:47:09Z","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":"We classify the rare events of structured, memoryful stochastic processes and use this to analyze sequential and parallel generators for these events. Given a stochastic process, we introduce a method to construct a new process whose typical realizations are a given process' rare events. This leads to an expression for the minimum memory required to generate rare events. We then show that the recently discovered classical-quantum ambiguity of simplicity also occurs when comparing the structure of process fluctuations.","authors_text":"C. Aghamohammadi, J. P. Crutchfield","cross_cats":["cs.CC","cs.IT","math.IT","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-24T23:54:05Z","title":"The Markov Memory for Generating Rare Events"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07685","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":"sha256:908395f3f431c9299e90ac238e3d99788fc45ce60badc758ba7b0ad469d5e0a6","target":"record","created_at":"2026-05-18T00:47:09Z","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":"62559bd20532630acad28d1322ff397657e15053e8e9fe55bd928ed0e2f0049d","cross_cats_sorted":["cs.CC","cs.IT","math.IT","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-24T23:54:05Z","title_canon_sha256":"0d85e868a9a1642187588e0ebc73f7a9163987d29c9c5d45f72e310b3af53099"},"schema_version":"1.0","source":{"id":"1610.07685","kind":"arxiv","version":1}},"canonical_sha256":"1da928c13ea6fd765dcc0e52795db6ab1eabf5905d839d225f855b9499e36413","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1da928c13ea6fd765dcc0e52795db6ab1eabf5905d839d225f855b9499e36413","first_computed_at":"2026-05-18T00:47:09.452929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:09.452929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FIBkhbJ8Ih2Z1qy+UWIst2X0McXhIFgoQKdpDEprWSp0ws/XEu902XGz0Rr4jcXFASOGye7yQRhvuX1CHcqOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:09.453549Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:908395f3f431c9299e90ac238e3d99788fc45ce60badc758ba7b0ad469d5e0a6","sha256:96c936aa5f37ac661f031b7dd996b7b143aa29b8eec93177f027e4cda695493d"],"state_sha256":"aa10e7a53010f7e6995bd44fdca26b350f0997c211d798be568dfa4cae8272a0"}