{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EYNRBQ2RL37H2IF33IWE36PQMX","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":"77c7847d1bf437e9265ec307e072b49d6a1844440f58edf1923668ddeeea66b1","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-04T13:36:37Z","title_canon_sha256":"d09465f1bec9c57bfa5597205342ec9382aedf96d03d13f6730aa71095579377"},"schema_version":"1.0","source":{"id":"1212.0716","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0716","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0716v1","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0716","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"EYNRBQ2RL37H","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EYNRBQ2RL37H2IF3","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EYNRBQ2R","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:fa51d865436f4fdba57754098fac85014b8ed972a4ddffbb4950e6cdca8443a1","target":"graph","created_at":"2026-05-18T01:52:47Z","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 map the Markov Switching Multi-fractal model (MSM) onto the Random Energy Model (REM). The MSM is, like the REM, an exactly solvable model in 1-d space with non-trivial correlation functions. According to our results, four different statistical physics phases are possible in random walks with multi-fractal behavior. We also introduce the continuous branching version of the model, calculate the moments and prove multiscaling behavior. Different phases have different multi-scaling properties.","authors_text":"David B. Saakian","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-04T13:36:37Z","title":"The Markov Switching Multi-fractal models as a new class of REM-like models in 1-dimensional space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0716","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":"sha256:58358a0090874aebd7a67e92e495bda6cc4719d9288c5005577bb4fcad6f23b4","target":"record","created_at":"2026-05-18T01:52:47Z","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":"77c7847d1bf437e9265ec307e072b49d6a1844440f58edf1923668ddeeea66b1","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-04T13:36:37Z","title_canon_sha256":"d09465f1bec9c57bfa5597205342ec9382aedf96d03d13f6730aa71095579377"},"schema_version":"1.0","source":{"id":"1212.0716","kind":"arxiv","version":1}},"canonical_sha256":"261b10c3515efe7d20bbda2c4df9f065c9501780f42e0941f3974104b0b59c89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"261b10c3515efe7d20bbda2c4df9f065c9501780f42e0941f3974104b0b59c89","first_computed_at":"2026-05-18T01:52:47.919687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:47.919687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BUexkolCoTAmbOd7wqe7uD31a9G2lZ0Bf6kHH70LWL84Jixj21gl5mXWrgsghQQDZ0V2rOYhrOywLikJcLJ+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:47.920030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0716","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58358a0090874aebd7a67e92e495bda6cc4719d9288c5005577bb4fcad6f23b4","sha256:fa51d865436f4fdba57754098fac85014b8ed972a4ddffbb4950e6cdca8443a1"],"state_sha256":"1cf04df0a9eea1e1f528b5a8f3ed15384a03e4f48368a79a095926b91c8955c7"}