{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JFRLH6YHDFCIQHO4EELCFCWGV4","short_pith_number":"pith:JFRLH6YH","schema_version":"1.0","canonical_sha256":"4962b3fb071944881ddc2116228ac6af09b8fa037173cca52319584bbdd5b49a","source":{"kind":"arxiv","id":"1803.04892","version":3},"attestation_state":"computed","paper":{"title":"Theoretical and empirical analysis of trading activity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.TR","authors_text":"Alexander Ristig, Ludovic Tangpi, Mathias Pohl, Walter Schachermayer","submitted_at":"2018-03-13T15:45:09Z","abstract_excerpt":"Understanding the structure of financial markets deals with suitably determining the functional relation between financial variables. In this respect, important variables are the trading activity, defined here as the number of trades $N$, the traded volume $V$, the asset price $P$, the squared volatility $\\sigma^2$, the bid-ask spread $S$ and the cost of trading $C$. Different reasonings result in simple proportionality relations (\"scaling laws\") between these variables. A basic proportionality is established between the trading activity and the squared volatility, i.e., $N \\sim \\sigma^2$. Mor"},"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":"1803.04892","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.TR","submitted_at":"2018-03-13T15:45:09Z","cross_cats_sorted":[],"title_canon_sha256":"3dcff54986c8272482e4303ebe020f1f37b84b6ee6a12b23ef33c62f320f7a6c","abstract_canon_sha256":"d7d841acf04638d0c8680827ba1da11b2e2d781ddc4742092396cff59e70a8a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:24.637774Z","signature_b64":"b3SSrfXn6D+ZlkqTydIoibaprvkH13qzVxtYBUET1aOQNWGngBaAm7Z2XHj0S3HgOWKEiVlMcqBIGPyI9UJ+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4962b3fb071944881ddc2116228ac6af09b8fa037173cca52319584bbdd5b49a","last_reissued_at":"2026-05-18T00:03:24.637325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:24.637325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theoretical and empirical analysis of trading activity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.TR","authors_text":"Alexander Ristig, Ludovic Tangpi, Mathias Pohl, Walter Schachermayer","submitted_at":"2018-03-13T15:45:09Z","abstract_excerpt":"Understanding the structure of financial markets deals with suitably determining the functional relation between financial variables. In this respect, important variables are the trading activity, defined here as the number of trades $N$, the traded volume $V$, the asset price $P$, the squared volatility $\\sigma^2$, the bid-ask spread $S$ and the cost of trading $C$. Different reasonings result in simple proportionality relations (\"scaling laws\") between these variables. A basic proportionality is established between the trading activity and the squared volatility, i.e., $N \\sim \\sigma^2$. Mor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04892","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":"1803.04892","created_at":"2026-05-18T00:03:24.637400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.04892v3","created_at":"2026-05-18T00:03:24.637400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04892","created_at":"2026-05-18T00:03:24.637400+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFRLH6YHDFCI","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFRLH6YHDFCIQHO4","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFRLH6YH","created_at":"2026-05-18T12:32:31.084164+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/JFRLH6YHDFCIQHO4EELCFCWGV4","json":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4.json","graph_json":"https://pith.science/api/pith-number/JFRLH6YHDFCIQHO4EELCFCWGV4/graph.json","events_json":"https://pith.science/api/pith-number/JFRLH6YHDFCIQHO4EELCFCWGV4/events.json","paper":"https://pith.science/paper/JFRLH6YH"},"agent_actions":{"view_html":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4","download_json":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4.json","view_paper":"https://pith.science/paper/JFRLH6YH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.04892&json=true","fetch_graph":"https://pith.science/api/pith-number/JFRLH6YHDFCIQHO4EELCFCWGV4/graph.json","fetch_events":"https://pith.science/api/pith-number/JFRLH6YHDFCIQHO4EELCFCWGV4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4/action/storage_attestation","attest_author":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4/action/author_attestation","sign_citation":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4/action/citation_signature","submit_replication":"https://pith.science/pith/JFRLH6YHDFCIQHO4EELCFCWGV4/action/replication_record"}},"created_at":"2026-05-18T00:03:24.637400+00:00","updated_at":"2026-05-18T00:03:24.637400+00:00"}