{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3KXH2XVDN276DCCZ6FYPDM2VKW","short_pith_number":"pith:3KXH2XVD","schema_version":"1.0","canonical_sha256":"daae7d5ea36ebfe18859f170f1b35555b565b18c3215209c7d4db542018d0fb6","source":{"kind":"arxiv","id":"1108.4177","version":3},"attestation_state":"computed","paper":{"title":"Strict local martingales and bubbles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ashkan Nikeghbali, Constantinos Kardaras, D\\\"orte Kreher","submitted_at":"2011-08-21T10:29:42Z","abstract_excerpt":"This paper deals with asset price bubbles modeled by strict local martingales. With any strict local martingale, one can associate a new measure, which is studied in detail in the first part of the paper. In the second part, we determine the \"default term\" apparent in risk-neutral option prices if the underlying stock exhibits a bubble modeled by a strict local martingale. Results for certain path dependent options and last passage time formulas are given."},"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":"1108.4177","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-21T10:29:42Z","cross_cats_sorted":[],"title_canon_sha256":"7ff49e42984e158f4832422364bce2763059424b9a279883748f3b086e2534f2","abstract_canon_sha256":"dbe9e67fbec6d892f1c20e4b3c0bc3a7a32712ffa38d093cc4b1e2d2e9918f96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:25.319740Z","signature_b64":"yV/xmpzBWfZvzVs7ZagynyH/fpF9rrvGIvRTg+2qqKVbz9f0QK+jBnV2VmxI8OTsOQEha4QPRKpo/KLLJWxOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daae7d5ea36ebfe18859f170f1b35555b565b18c3215209c7d4db542018d0fb6","last_reissued_at":"2026-05-18T01:09:25.319250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:25.319250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strict local martingales and bubbles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ashkan Nikeghbali, Constantinos Kardaras, D\\\"orte Kreher","submitted_at":"2011-08-21T10:29:42Z","abstract_excerpt":"This paper deals with asset price bubbles modeled by strict local martingales. With any strict local martingale, one can associate a new measure, which is studied in detail in the first part of the paper. In the second part, we determine the \"default term\" apparent in risk-neutral option prices if the underlying stock exhibits a bubble modeled by a strict local martingale. Results for certain path dependent options and last passage time formulas are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4177","kind":"arxiv","version":3},"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":"1108.4177","created_at":"2026-05-18T01:09:25.319326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.4177v3","created_at":"2026-05-18T01:09:25.319326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4177","created_at":"2026-05-18T01:09:25.319326+00:00"},{"alias_kind":"pith_short_12","alias_value":"3KXH2XVDN276","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"3KXH2XVDN276DCCZ","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"3KXH2XVD","created_at":"2026-05-18T12:26:18.847500+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/3KXH2XVDN276DCCZ6FYPDM2VKW","json":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW.json","graph_json":"https://pith.science/api/pith-number/3KXH2XVDN276DCCZ6FYPDM2VKW/graph.json","events_json":"https://pith.science/api/pith-number/3KXH2XVDN276DCCZ6FYPDM2VKW/events.json","paper":"https://pith.science/paper/3KXH2XVD"},"agent_actions":{"view_html":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW","download_json":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW.json","view_paper":"https://pith.science/paper/3KXH2XVD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.4177&json=true","fetch_graph":"https://pith.science/api/pith-number/3KXH2XVDN276DCCZ6FYPDM2VKW/graph.json","fetch_events":"https://pith.science/api/pith-number/3KXH2XVDN276DCCZ6FYPDM2VKW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW/action/storage_attestation","attest_author":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW/action/author_attestation","sign_citation":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW/action/citation_signature","submit_replication":"https://pith.science/pith/3KXH2XVDN276DCCZ6FYPDM2VKW/action/replication_record"}},"created_at":"2026-05-18T01:09:25.319326+00:00","updated_at":"2026-05-18T01:09:25.319326+00:00"}