{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RRHMCW47RXLDGSVKE425ZEXKMW","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":"9be34cbec86e29c72c0bebc5888d37d0873dfddf46376b70b15d825c0bb4d6c4","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-04-09T12:46:05Z","title_canon_sha256":"c32d48dcbee90f5aa7f641c2c09494297be59c3e471a25aec132d201c1f7256c"},"schema_version":"1.0","source":{"id":"1504.02280","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02280","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02280v2","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02280","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"RRHMCW47RXLD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RRHMCW47RXLDGSVK","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RRHMCW47","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:cb83bdc67e026150f0173b8891e5757dac007b980aecb86b857a6e01b0550fb5","target":"graph","created_at":"2026-05-18T01:24:38Z","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"},"paper":{"abstract_excerpt":"We study historical dynamics of joint equilibrium distribution of stock returns in the U.S. stock market using the Boltzmann distribution model being parametrized by external fields and pairwise couplings. Within Boltzmann learning framework for statistical inference, we analyze historical behavior of the parameters inferred using exact and approximate learning algorithms. Since the model and inference methods require use of binary variables, effect of this mapping of continuous returns to the discrete domain is studied. The presented analysis shows that binarization preserves market correlati","authors_text":"Alexander V. Balatsky, Stanislav S. Borysov, Yasser Roudi","cross_cats":["nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-04-09T12:46:05Z","title":"U.S. stock market interaction network as learned by the Boltzmann Machine"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02280","kind":"arxiv","version":2},"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":"sha256:6a455f2f54d5310ee533e75b451e43f6719d1cdc9714911f018699e3afcb5a5b","target":"record","created_at":"2026-05-18T01:24:38Z","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":"9be34cbec86e29c72c0bebc5888d37d0873dfddf46376b70b15d825c0bb4d6c4","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2015-04-09T12:46:05Z","title_canon_sha256":"c32d48dcbee90f5aa7f641c2c09494297be59c3e471a25aec132d201c1f7256c"},"schema_version":"1.0","source":{"id":"1504.02280","kind":"arxiv","version":2}},"canonical_sha256":"8c4ec15b9f8dd6334aaa2735dc92ea65a6a78e847e316faa2c9af12d84bff1f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c4ec15b9f8dd6334aaa2735dc92ea65a6a78e847e316faa2c9af12d84bff1f5","first_computed_at":"2026-05-18T01:24:38.393452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:38.393452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sQOP9RXisKDO2ozPTOFXA+fQ0ZyD1jD0j8UBZ4dqTS210El5aIKlpnBvvWpDpiVJZTDwR3EQXt+u2+ZtoRkxCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:38.393938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02280","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a455f2f54d5310ee533e75b451e43f6719d1cdc9714911f018699e3afcb5a5b","sha256:cb83bdc67e026150f0173b8891e5757dac007b980aecb86b857a6e01b0550fb5"],"state_sha256":"5116141fc64e2e240a6f80159a6740380c735ffbd1a584af1581c7bc1c1e7073"}