{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HNFGGPYVAIGWBOOC6C6BZA2W6C","short_pith_number":"pith:HNFGGPYV","schema_version":"1.0","canonical_sha256":"3b4a633f15020d60b9c2f0bc1c8356f0893ed94bc85df76f7583eed279f7e1c6","source":{"kind":"arxiv","id":"1705.03801","version":1},"attestation_state":"computed","paper":{"title":"Conditionally Poissonian random digraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christian M\\\"onch","submitted_at":"2017-05-10T14:42:44Z","abstract_excerpt":"In this short note we define a Poissonian model of directed random graphs which generalises the undirected Poissonian random graph process introduced in [Norros, I.; Reittu, H. \"On a conditionally Poissonian graph process.\" Adv. in Appl. Probab. 38 (2006), no. 1, 59--75]. We discuss the relation of our model to the Norros-Reittu model, characterise the limiting distribution of the degree of a typical vertex and discuss the component structure of the model in some special cases which are relevant to the theory of infection processes."},"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":"1705.03801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-10T14:42:44Z","cross_cats_sorted":[],"title_canon_sha256":"d07f3cf502d618427980d822f0770bc88648efd82d0eb40b3422e2294f49631a","abstract_canon_sha256":"1c341f0fab0fd240ae92cb47c7dbed043fe0e6589d82f4f4bec83d693b8caa22"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:43.016591Z","signature_b64":"HkkBF6TzjGM5zqk69sHmAR4N9mLLWNgcxQrkgRXI83AvW6sYccZX3jBcFw1wmj7JL9D3XLJqZIdHYqbg9oQVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b4a633f15020d60b9c2f0bc1c8356f0893ed94bc85df76f7583eed279f7e1c6","last_reissued_at":"2026-05-18T00:44:43.016036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:43.016036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditionally Poissonian random digraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christian M\\\"onch","submitted_at":"2017-05-10T14:42:44Z","abstract_excerpt":"In this short note we define a Poissonian model of directed random graphs which generalises the undirected Poissonian random graph process introduced in [Norros, I.; Reittu, H. \"On a conditionally Poissonian graph process.\" Adv. in Appl. Probab. 38 (2006), no. 1, 59--75]. We discuss the relation of our model to the Norros-Reittu model, characterise the limiting distribution of the degree of a typical vertex and discuss the component structure of the model in some special cases which are relevant to the theory of infection processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03801","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":"1705.03801","created_at":"2026-05-18T00:44:43.016122+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.03801v1","created_at":"2026-05-18T00:44:43.016122+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03801","created_at":"2026-05-18T00:44:43.016122+00:00"},{"alias_kind":"pith_short_12","alias_value":"HNFGGPYVAIGW","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HNFGGPYVAIGWBOOC","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HNFGGPYV","created_at":"2026-05-18T12:31:18.294218+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/HNFGGPYVAIGWBOOC6C6BZA2W6C","json":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C.json","graph_json":"https://pith.science/api/pith-number/HNFGGPYVAIGWBOOC6C6BZA2W6C/graph.json","events_json":"https://pith.science/api/pith-number/HNFGGPYVAIGWBOOC6C6BZA2W6C/events.json","paper":"https://pith.science/paper/HNFGGPYV"},"agent_actions":{"view_html":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C","download_json":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C.json","view_paper":"https://pith.science/paper/HNFGGPYV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.03801&json=true","fetch_graph":"https://pith.science/api/pith-number/HNFGGPYVAIGWBOOC6C6BZA2W6C/graph.json","fetch_events":"https://pith.science/api/pith-number/HNFGGPYVAIGWBOOC6C6BZA2W6C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C/action/storage_attestation","attest_author":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C/action/author_attestation","sign_citation":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C/action/citation_signature","submit_replication":"https://pith.science/pith/HNFGGPYVAIGWBOOC6C6BZA2W6C/action/replication_record"}},"created_at":"2026-05-18T00:44:43.016122+00:00","updated_at":"2026-05-18T00:44:43.016122+00:00"}