{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GNJIJBNSOY4S3UQRBOX6OESIHS","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":"5ef61a7f1af5d34cea6ac33f8a4edd802cb50402601063baf10915973d60ee0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2011-09-22T08:39:57Z","title_canon_sha256":"e35a828de0956a463832c143875d27db70c86fa119649cda429d0f2cf1e0abdc"},"schema_version":"1.0","source":{"id":"1109.4726","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4726","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4726v3","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4726","created_at":"2026-05-18T02:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"GNJIJBNSOY4S","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GNJIJBNSOY4S3UQR","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GNJIJBNS","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:769a40f323c8af03113fc0f4e5ce0be959686c409974ff201b5a98bd06939627","target":"graph","created_at":"2026-05-18T02:56:45Z","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 introduce a model of super-exponential financial bubbles with two assets (risky and risk-free), in which rational investors and noise traders co-exist. Rational investors form expectations on the return and risk of a risky asset and maximize their constant relative risk aversion expected utility with respect to their allocation on the risky asset versus the risk-free asset. Noise traders are subjected to social imitation and follow momentum trading. Allowing for random time-varying herding propensity, we are able to reproduce several well-known stylized facts of financial markets such as a ","authors_text":"A. Saichev, D. Sornette, M. Leiss, T. Kaizoji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2011-09-22T08:39:57Z","title":"Super-exponential endogenous bubbles in an equilibrium model of rational and noise traders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4726","kind":"arxiv","version":3},"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":"sha256:610de799cb591ebef0882d72d338e4e13062727af7e0973e563720368e01a596","target":"record","created_at":"2026-05-18T02:56:45Z","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":"5ef61a7f1af5d34cea6ac33f8a4edd802cb50402601063baf10915973d60ee0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2011-09-22T08:39:57Z","title_canon_sha256":"e35a828de0956a463832c143875d27db70c86fa119649cda429d0f2cf1e0abdc"},"schema_version":"1.0","source":{"id":"1109.4726","kind":"arxiv","version":3}},"canonical_sha256":"33528485b276392dd2110bafe712483cabea1b12920a3a732c1da64adfc8df66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33528485b276392dd2110bafe712483cabea1b12920a3a732c1da64adfc8df66","first_computed_at":"2026-05-18T02:56:45.229307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:45.229307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MxaWCQAacxLlNa1qxRKOeuRgLggWuNwGithfMJC9Nr0IbzmzyGGrTUK6bn1C8At3Z3h8UlWU2qT4UssRXKRbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:45.229879Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4726","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:610de799cb591ebef0882d72d338e4e13062727af7e0973e563720368e01a596","sha256:769a40f323c8af03113fc0f4e5ce0be959686c409974ff201b5a98bd06939627"],"state_sha256":"8b767242c1f9e60570a6825bf487612102a68c54a86431f07d8908553db14e64"}