{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2MOUAI54BDOWXZTGDC3KQOX4NN","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":"b1c332c7109685c2b1e37681123d87a2eca49a8e112d18362267ae3ffbca3806","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.CP","submitted_at":"2023-01-23T20:24:20Z","title_canon_sha256":"d377223ee53a4cfea51c0880c465bd9174093f1477092d36e606cd6206715f7d"},"schema_version":"1.0","source":{"id":"2301.09705","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.09705","created_at":"2026-07-05T06:20:40Z"},{"alias_kind":"arxiv_version","alias_value":"2301.09705v4","created_at":"2026-07-05T06:20:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.09705","created_at":"2026-07-05T06:20:40Z"},{"alias_kind":"pith_short_12","alias_value":"2MOUAI54BDOW","created_at":"2026-07-05T06:20:40Z"},{"alias_kind":"pith_short_16","alias_value":"2MOUAI54BDOWXZTG","created_at":"2026-07-05T06:20:40Z"},{"alias_kind":"pith_short_8","alias_value":"2MOUAI54","created_at":"2026-07-05T06:20:40Z"}],"graph_snapshots":[{"event_id":"sha256:d4349cf7ea49504ce411b06b0ba2b09507a1e40ea30a96e3c7a0f640edf4a75f","target":"graph","created_at":"2026-07-05T06:20:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.09705/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we simulate the execution of a large stock order with real data and general power law in the Almgren and Chriss model. The example that we consider is the liquidation of a large position executed over the course of a single trading day in a limit order book. Transaction costs are incurred because large orders walk the order book, that is, they consume order book liquidity beyond the best bid/ask. We model the order book with a power law that is proportional to trading volume, and thus transaction costs are inversely proportional to a power of trading volume. We obtain a policy a","authors_text":"A. Papanicolaou, B. Healy, F. Khorrami, H. Fu, P. Krishnamurthy","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.CP","submitted_at":"2023-01-23T20:24:20Z","title":"An Optimal Control Strategy for Execution of Large Stock Orders Using LSTMs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.09705","kind":"arxiv","version":4},"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":"sha256:01bdb619406e3f6c655267751b3f083af65a5eeab3a9bd4dc12c41703d169f45","target":"record","created_at":"2026-07-05T06:20:40Z","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":"b1c332c7109685c2b1e37681123d87a2eca49a8e112d18362267ae3ffbca3806","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.CP","submitted_at":"2023-01-23T20:24:20Z","title_canon_sha256":"d377223ee53a4cfea51c0880c465bd9174093f1477092d36e606cd6206715f7d"},"schema_version":"1.0","source":{"id":"2301.09705","kind":"arxiv","version":4}},"canonical_sha256":"d31d4023bc08dd6be66618b6a83afc6b6814d1dbb6360dc54be95bcd7100b707","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d31d4023bc08dd6be66618b6a83afc6b6814d1dbb6360dc54be95bcd7100b707","first_computed_at":"2026-07-05T06:20:40.089976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:20:40.089976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7f+od2i8Hvwnpsryvd9lS2Z9K40sgbzsPfao3X778a3v6fxRUcbp2e+Ni98FDCsUiXbNWNlrd02MSr9kyXHrDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:20:40.090391Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.09705","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01bdb619406e3f6c655267751b3f083af65a5eeab3a9bd4dc12c41703d169f45","sha256:d4349cf7ea49504ce411b06b0ba2b09507a1e40ea30a96e3c7a0f640edf4a75f"],"state_sha256":"e5fe23d4fc7e35ad851efc9d28d9b0e4e98027dff07063694ba7ee3751793b29"}