{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ATASCBQAXNUB5SCU6CNA3PALQ4","short_pith_number":"pith:ATASCBQA","schema_version":"1.0","canonical_sha256":"04c1210600bb681ec854f09a0dbc0b873a266d96bd4fb858796f7d07f3787a7b","source":{"kind":"arxiv","id":"1812.09071","version":2},"attestation_state":"computed","paper":{"title":"Point processes on directed linear network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Heidi S. Christensen, Jakob G. Rasmussen","submitted_at":"2018-12-21T12:03:26Z","abstract_excerpt":"In this paper we consider point processes specified on directed linear networks, i.e. linear networks with associated directions. We adapt the so-called conditional intensity function used for specifying point processes on the time line to the setting of directed linear networks. For models specified by such a conditional intensity function, we derive an explicit expression for the likelihood function, specify two simulation algorithms (the inverse method and Ogata's modified thinning algorithm), and consider methods for model checking through the use of residuals. We also extend the results a"},"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":"1812.09071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-12-21T12:03:26Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"9538f18a42e0553263dc2cf5bdac077d67f6da30356871b5395b3d765c95d08a","abstract_canon_sha256":"fef23d44114445a0c5d95c6b07b771ee116b191dc4080713b6c346c6391aa51c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:07.178773Z","signature_b64":"VLgmn9/wczqttxs/FGfqQtm38kpOUTFSVCJMlwUlZ3inaDNUhmNPUQrsPBBjH+Pk+VlICzKs6qRwYnvrpqTuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04c1210600bb681ec854f09a0dbc0b873a266d96bd4fb858796f7d07f3787a7b","last_reissued_at":"2026-05-17T23:57:07.178375Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:07.178375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Point processes on directed linear network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Heidi S. Christensen, Jakob G. Rasmussen","submitted_at":"2018-12-21T12:03:26Z","abstract_excerpt":"In this paper we consider point processes specified on directed linear networks, i.e. linear networks with associated directions. We adapt the so-called conditional intensity function used for specifying point processes on the time line to the setting of directed linear networks. For models specified by such a conditional intensity function, we derive an explicit expression for the likelihood function, specify two simulation algorithms (the inverse method and Ogata's modified thinning algorithm), and consider methods for model checking through the use of residuals. We also extend the results a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09071","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":""},"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":"1812.09071","created_at":"2026-05-17T23:57:07.178432+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.09071v2","created_at":"2026-05-17T23:57:07.178432+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09071","created_at":"2026-05-17T23:57:07.178432+00:00"},{"alias_kind":"pith_short_12","alias_value":"ATASCBQAXNUB","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"ATASCBQAXNUB5SCU","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"ATASCBQA","created_at":"2026-05-18T12:32:13.499390+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/ATASCBQAXNUB5SCU6CNA3PALQ4","json":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4.json","graph_json":"https://pith.science/api/pith-number/ATASCBQAXNUB5SCU6CNA3PALQ4/graph.json","events_json":"https://pith.science/api/pith-number/ATASCBQAXNUB5SCU6CNA3PALQ4/events.json","paper":"https://pith.science/paper/ATASCBQA"},"agent_actions":{"view_html":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4","download_json":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4.json","view_paper":"https://pith.science/paper/ATASCBQA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.09071&json=true","fetch_graph":"https://pith.science/api/pith-number/ATASCBQAXNUB5SCU6CNA3PALQ4/graph.json","fetch_events":"https://pith.science/api/pith-number/ATASCBQAXNUB5SCU6CNA3PALQ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4/action/storage_attestation","attest_author":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4/action/author_attestation","sign_citation":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4/action/citation_signature","submit_replication":"https://pith.science/pith/ATASCBQAXNUB5SCU6CNA3PALQ4/action/replication_record"}},"created_at":"2026-05-17T23:57:07.178432+00:00","updated_at":"2026-05-17T23:57:07.178432+00:00"}