{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FNBDQUDH4XLLE4XEPZP56YUHYC","short_pith_number":"pith:FNBDQUDH","schema_version":"1.0","canonical_sha256":"2b42385067e5d6b272e47e5fdf6287c0ad2753cfaaca45b88f1d6759cf1f1eeb","source":{"kind":"arxiv","id":"1601.07707","version":1},"attestation_state":"computed","paper":{"title":"Micro-foundation using percolation theory of the finite-time singular behavior of the crash hazard rate in a class of rational expectation bubbles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.ST"],"primary_cat":"q-fin.TR","authors_text":"Didier Sornette, Maximilian Seyrich","submitted_at":"2016-01-28T09:47:07Z","abstract_excerpt":"We present a plausible micro-founded model for the previously postulated power law finite time singular form of the crash hazard rate in the Johansen-Ledoit-Sornette model of rational expectation bubbles. The model is based on a percolation picture of the network of traders and the concept that clusters of connected traders share the same opinion. The key ingredient is the notion that a shift of position from buyer to seller of a sufficiently large group of traders can trigger a crash. This provides a formula to estimate the crash hazard rate by summation over percolation clusters above a mini"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1601.07707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.TR","submitted_at":"2016-01-28T09:47:07Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"1a2c0ad3203dfcbcbc4132e98da277e4dd3a75e4466161a0ef149839e4ca2707","abstract_canon_sha256":"4564fcd700fe0d1df98414ae402942d84c89c89984e02d18cde2178ecb89e22c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:13.921274Z","signature_b64":"eZ3J6mUHvmziYHk8nBeUlVQGgW38utmsVmI6f87N2z21ZAnynOALIjjVY4wKlbvZIUdaUX8q1dZ04cqs1C8nBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b42385067e5d6b272e47e5fdf6287c0ad2753cfaaca45b88f1d6759cf1f1eeb","last_reissued_at":"2026-05-18T01:04:13.920888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:13.920888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Micro-foundation using percolation theory of the finite-time singular behavior of the crash hazard rate in a class of rational expectation bubbles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.ST"],"primary_cat":"q-fin.TR","authors_text":"Didier Sornette, Maximilian Seyrich","submitted_at":"2016-01-28T09:47:07Z","abstract_excerpt":"We present a plausible micro-founded model for the previously postulated power law finite time singular form of the crash hazard rate in the Johansen-Ledoit-Sornette model of rational expectation bubbles. The model is based on a percolation picture of the network of traders and the concept that clusters of connected traders share the same opinion. The key ingredient is the notion that a shift of position from buyer to seller of a sufficiently large group of traders can trigger a crash. This provides a formula to estimate the crash hazard rate by summation over percolation clusters above a mini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07707","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1601.07707","created_at":"2026-05-18T01:04:13.920942+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.07707v1","created_at":"2026-05-18T01:04:13.920942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07707","created_at":"2026-05-18T01:04:13.920942+00:00"},{"alias_kind":"pith_short_12","alias_value":"FNBDQUDH4XLL","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FNBDQUDH4XLLE4XE","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FNBDQUDH","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC","json":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC.json","graph_json":"https://pith.science/api/pith-number/FNBDQUDH4XLLE4XEPZP56YUHYC/graph.json","events_json":"https://pith.science/api/pith-number/FNBDQUDH4XLLE4XEPZP56YUHYC/events.json","paper":"https://pith.science/paper/FNBDQUDH"},"agent_actions":{"view_html":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC","download_json":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC.json","view_paper":"https://pith.science/paper/FNBDQUDH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.07707&json=true","fetch_graph":"https://pith.science/api/pith-number/FNBDQUDH4XLLE4XEPZP56YUHYC/graph.json","fetch_events":"https://pith.science/api/pith-number/FNBDQUDH4XLLE4XEPZP56YUHYC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC/action/storage_attestation","attest_author":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC/action/author_attestation","sign_citation":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC/action/citation_signature","submit_replication":"https://pith.science/pith/FNBDQUDH4XLLE4XEPZP56YUHYC/action/replication_record"}},"created_at":"2026-05-18T01:04:13.920942+00:00","updated_at":"2026-05-18T01:04:13.920942+00:00"}