{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:E2JCNP52PK66E2WCOJTV2TFEZD","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":"6b9640b7a0e353d3ce1a789bafd9283f0d16f61bbfff08fb9f023f98fb13c6e0","cross_cats_sorted":["q-fin.TR"],"license":"","primary_cat":"nlin.AO","submitted_at":"2005-06-08T03:44:06Z","title_canon_sha256":"9709f1c55af76ba2fd487dd4626bf551518e3f1f2bb2aaab85aa3fb16e2faec9"},"schema_version":"1.0","source":{"id":"nlin/0506015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0506015","created_at":"2026-07-04T15:33:03Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0506015v1","created_at":"2026-07-04T15:33:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0506015","created_at":"2026-07-04T15:33:03Z"},{"alias_kind":"pith_short_12","alias_value":"E2JCNP52PK66","created_at":"2026-07-04T15:33:03Z"},{"alias_kind":"pith_short_16","alias_value":"E2JCNP52PK66E2WC","created_at":"2026-07-04T15:33:03Z"},{"alias_kind":"pith_short_8","alias_value":"E2JCNP52","created_at":"2026-07-04T15:33:03Z"}],"graph_snapshots":[{"event_id":"sha256:594b57f391fb605ef05fe283c216314fb7259ae3e10febb19860851c3c7fc4f0","target":"graph","created_at":"2026-07-04T15:33:03Z","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/nlin/0506015/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article considers a model for alternative processes for securities prices and compares this model with actual return data of several securities. The distributions of returns that appear in the model can be Gaussian as well as non-Gaussian; in particular they may have two peaks. We consider a discrete Markov chain model. This model in some aspects is similar to well-known Ising model describing ferromagnetics. Namely we consider a set of N investors, each of whom has either bullish or bearish opinion, denoted by plus or minus respectively. At every time step each of N investors can change ","authors_text":"Kyrylo Shmatov, Mikhail Smirnov","cross_cats":["q-fin.TR"],"headline":"","license":"","primary_cat":"nlin.AO","submitted_at":"2005-06-08T03:44:06Z","title":"On Some Processes and Distributions in a Collective Model of Investors' Behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0506015","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:c0239cda9607671a8c7e8319de6218af53ec3e91fccaac30fe2fa361bf5e6da1","target":"record","created_at":"2026-07-04T15:33:03Z","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":"6b9640b7a0e353d3ce1a789bafd9283f0d16f61bbfff08fb9f023f98fb13c6e0","cross_cats_sorted":["q-fin.TR"],"license":"","primary_cat":"nlin.AO","submitted_at":"2005-06-08T03:44:06Z","title_canon_sha256":"9709f1c55af76ba2fd487dd4626bf551518e3f1f2bb2aaab85aa3fb16e2faec9"},"schema_version":"1.0","source":{"id":"nlin/0506015","kind":"arxiv","version":1}},"canonical_sha256":"269226bfba7abde26ac272675d4ca4c8f95d2bc91e527e88978ecc0496c739b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"269226bfba7abde26ac272675d4ca4c8f95d2bc91e527e88978ecc0496c739b7","first_computed_at":"2026-07-04T15:33:03.846501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:33:03.846501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yOCY4WjgOeLOeVWW1GcQoAVnkwC1bp30b+p7d68L534VWXLa1zX2fMhqhhrfzMwXTFK1f7Qis0J6pYlzYZIuCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:33:03.846955Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0506015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0239cda9607671a8c7e8319de6218af53ec3e91fccaac30fe2fa361bf5e6da1","sha256:594b57f391fb605ef05fe283c216314fb7259ae3e10febb19860851c3c7fc4f0"],"state_sha256":"2b5c31050965a67b746bb3a2dd5859370f38da39166878c235e96bb095cec4a5"}