{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IAVFJEX7TJ456TZGJKBSVT5XWH","short_pith_number":"pith:IAVFJEX7","schema_version":"1.0","canonical_sha256":"402a5492ff9a79df4f264a832acfb7b1ff722702f89317ae1dae58014358cb78","source":{"kind":"arxiv","id":"1501.00843","version":1},"attestation_state":"computed","paper":{"title":"A law of large numbers for limit order books","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.TR"],"primary_cat":"q-fin.MF","authors_text":"Michael Paulsen, Ulrich Horst","submitted_at":"2015-01-05T12:58:28Z","abstract_excerpt":"We define a stochastic model of a two-sided limit order book in terms of its key quantities \\textit{best bid [ask] price} and the \\textit{standing buy [sell] volume density}. For a simple scaling of the discreteness parameters, that keeps the expected volume rate over the considered price interval invariant, we prove a limit theorem. The limit theorem states that, given regularity conditions on the random order flow, the key quantities converge in probability to a tractable continuous limiting model. In the limit model the buy and sell volume densities are given as the unique solution to first"},"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":"1501.00843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2015-01-05T12:58:28Z","cross_cats_sorted":["q-fin.TR"],"title_canon_sha256":"bb2b955168c79a0e67966de21a799fefe805017bc4781fb48cf4d4f3713bdbb9","abstract_canon_sha256":"091115be2e02977c1e092601f64c9090c0eaa7fa44761315aaa9693200a9720b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:01.718377Z","signature_b64":"+mlMgjz1yP+idgrOozgiMAVV30GPMdXeyOyQZfOxQszKlDFQcTU5AEjGLnI3osrexLb9bwvJki0vIct53+wGBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"402a5492ff9a79df4f264a832acfb7b1ff722702f89317ae1dae58014358cb78","last_reissued_at":"2026-05-18T02:30:01.717974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:01.717974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A law of large numbers for limit order books","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.TR"],"primary_cat":"q-fin.MF","authors_text":"Michael Paulsen, Ulrich Horst","submitted_at":"2015-01-05T12:58:28Z","abstract_excerpt":"We define a stochastic model of a two-sided limit order book in terms of its key quantities \\textit{best bid [ask] price} and the \\textit{standing buy [sell] volume density}. For a simple scaling of the discreteness parameters, that keeps the expected volume rate over the considered price interval invariant, we prove a limit theorem. The limit theorem states that, given regularity conditions on the random order flow, the key quantities converge in probability to a tractable continuous limiting model. In the limit model the buy and sell volume densities are given as the unique solution to first"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00843","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":"1501.00843","created_at":"2026-05-18T02:30:01.718039+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.00843v1","created_at":"2026-05-18T02:30:01.718039+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00843","created_at":"2026-05-18T02:30:01.718039+00:00"},{"alias_kind":"pith_short_12","alias_value":"IAVFJEX7TJ45","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IAVFJEX7TJ456TZG","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IAVFJEX7","created_at":"2026-05-18T12:29:25.134429+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/IAVFJEX7TJ456TZGJKBSVT5XWH","json":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH.json","graph_json":"https://pith.science/api/pith-number/IAVFJEX7TJ456TZGJKBSVT5XWH/graph.json","events_json":"https://pith.science/api/pith-number/IAVFJEX7TJ456TZGJKBSVT5XWH/events.json","paper":"https://pith.science/paper/IAVFJEX7"},"agent_actions":{"view_html":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH","download_json":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH.json","view_paper":"https://pith.science/paper/IAVFJEX7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.00843&json=true","fetch_graph":"https://pith.science/api/pith-number/IAVFJEX7TJ456TZGJKBSVT5XWH/graph.json","fetch_events":"https://pith.science/api/pith-number/IAVFJEX7TJ456TZGJKBSVT5XWH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH/action/storage_attestation","attest_author":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH/action/author_attestation","sign_citation":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH/action/citation_signature","submit_replication":"https://pith.science/pith/IAVFJEX7TJ456TZGJKBSVT5XWH/action/replication_record"}},"created_at":"2026-05-18T02:30:01.718039+00:00","updated_at":"2026-05-18T02:30:01.718039+00:00"}