{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6A3PJNHJ77O7V54Z2ZXVTRQHB2","short_pith_number":"pith:6A3PJNHJ","schema_version":"1.0","canonical_sha256":"f036f4b4e9ffddfaf799d66f59c6070e82c4b754125e51dc1895027e326b7783","source":{"kind":"arxiv","id":"1908.05850","version":2},"attestation_state":"computed","paper":{"title":"Linear Stochastic Dividend Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.CP","q-fin.PR"],"primary_cat":"q-fin.MF","authors_text":"Sander Willems","submitted_at":"2019-08-16T05:26:40Z","abstract_excerpt":"In this paper we propose a new model for pricing stock and dividend derivatives. We jointly specify dynamics for the stock price and the dividend rate such that the stock price is positive and the dividend rate non-negative. In its simplest form, the model features a dividend rate that is mean-reverting around a constant fraction of the stock price. The advantage of directly specifying dynamics for the dividend rate, as opposed to the more common approach of modeling the dividend yield, is that it is easier to keep the distribution of cumulative dividends tractable. The model is non-affine but"},"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":"1908.05850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2019-08-16T05:26:40Z","cross_cats_sorted":["q-fin.CP","q-fin.PR"],"title_canon_sha256":"62b4b3f2f81b1f6b986a7948bac0277f8bbdaa349c5bc6fa7090129420a01365","abstract_canon_sha256":"9f03a377f11b429e1e6cb563e07214a4dc6dc4158a0a2fb958e1324b4b7f2ca0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:59:34.632884Z","signature_b64":"NlFroXLGQTx77ca/1NTU509aUX6bCDhpcE/mcFDF+PmJm5XtxqQeXgRgMXgKKLqyTQlgMqkLoIts5lxRJeitBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f036f4b4e9ffddfaf799d66f59c6070e82c4b754125e51dc1895027e326b7783","last_reissued_at":"2026-07-04T23:59:34.632459Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:59:34.632459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Stochastic Dividend Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.CP","q-fin.PR"],"primary_cat":"q-fin.MF","authors_text":"Sander Willems","submitted_at":"2019-08-16T05:26:40Z","abstract_excerpt":"In this paper we propose a new model for pricing stock and dividend derivatives. We jointly specify dynamics for the stock price and the dividend rate such that the stock price is positive and the dividend rate non-negative. In its simplest form, the model features a dividend rate that is mean-reverting around a constant fraction of the stock price. The advantage of directly specifying dynamics for the dividend rate, as opposed to the more common approach of modeling the dividend yield, is that it is easier to keep the distribution of cumulative dividends tractable. The model is non-affine but"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05850","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.05850/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.05850","created_at":"2026-07-04T23:59:34.632515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.05850v2","created_at":"2026-07-04T23:59:34.632515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05850","created_at":"2026-07-04T23:59:34.632515+00:00"},{"alias_kind":"pith_short_12","alias_value":"6A3PJNHJ77O7","created_at":"2026-07-04T23:59:34.632515+00:00"},{"alias_kind":"pith_short_16","alias_value":"6A3PJNHJ77O7V54Z","created_at":"2026-07-04T23:59:34.632515+00:00"},{"alias_kind":"pith_short_8","alias_value":"6A3PJNHJ","created_at":"2026-07-04T23:59:34.632515+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/6A3PJNHJ77O7V54Z2ZXVTRQHB2","json":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2.json","graph_json":"https://pith.science/api/pith-number/6A3PJNHJ77O7V54Z2ZXVTRQHB2/graph.json","events_json":"https://pith.science/api/pith-number/6A3PJNHJ77O7V54Z2ZXVTRQHB2/events.json","paper":"https://pith.science/paper/6A3PJNHJ"},"agent_actions":{"view_html":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2","download_json":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2.json","view_paper":"https://pith.science/paper/6A3PJNHJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.05850&json=true","fetch_graph":"https://pith.science/api/pith-number/6A3PJNHJ77O7V54Z2ZXVTRQHB2/graph.json","fetch_events":"https://pith.science/api/pith-number/6A3PJNHJ77O7V54Z2ZXVTRQHB2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2/action/storage_attestation","attest_author":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2/action/author_attestation","sign_citation":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2/action/citation_signature","submit_replication":"https://pith.science/pith/6A3PJNHJ77O7V54Z2ZXVTRQHB2/action/replication_record"}},"created_at":"2026-07-04T23:59:34.632515+00:00","updated_at":"2026-07-04T23:59:34.632515+00:00"}