{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FULTFR5AZQMILDQLFP6KLUI5WH","short_pith_number":"pith:FULTFR5A","schema_version":"1.0","canonical_sha256":"2d1732c7a0cc18858e0b2bfca5d11db1f04e408f4ab6f8e4b2e5cbb50f547b56","source":{"kind":"arxiv","id":"1711.06514","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic normality in Crump-Mode-Jagers processes: the lattice case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Svante Janson","submitted_at":"2017-11-17T12:43:18Z","abstract_excerpt":"Consider a supercritical Crump--Mode--Jagers process such that all births are at integer times (the lattice case). We show that under a certain condition on the intensity of the offspring process, the second-order fluctuations of the age distribution are asymptotically normal; the condition is essential and not just a technicality. This extends to populations counted by a random characteristic."},"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":"1711.06514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-11-17T12:43:18Z","cross_cats_sorted":[],"title_canon_sha256":"31ddf97b03380c302bf0673350c12a509cab08fb4e83ace356c9f3499c68abbe","abstract_canon_sha256":"c8adc258873466156bb27d89d83d1cb01a9b4539604cb3870f7b79389487e0dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:46.958847Z","signature_b64":"Ez7nEdAmidScQmT5/LFLPf6eYilS9OP7HTw9VUvhRptIZicWDl094GwAFevVfRZKRNakb7QgvVLGcv6d5fthCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d1732c7a0cc18858e0b2bfca5d11db1f04e408f4ab6f8e4b2e5cbb50f547b56","last_reissued_at":"2026-05-18T00:14:46.958502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:46.958502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic normality in Crump-Mode-Jagers processes: the lattice case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Svante Janson","submitted_at":"2017-11-17T12:43:18Z","abstract_excerpt":"Consider a supercritical Crump--Mode--Jagers process such that all births are at integer times (the lattice case). We show that under a certain condition on the intensity of the offspring process, the second-order fluctuations of the age distribution are asymptotically normal; the condition is essential and not just a technicality. This extends to populations counted by a random characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06514","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":"1711.06514","created_at":"2026-05-18T00:14:46.958557+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.06514v2","created_at":"2026-05-18T00:14:46.958557+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06514","created_at":"2026-05-18T00:14:46.958557+00:00"},{"alias_kind":"pith_short_12","alias_value":"FULTFR5AZQMI","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FULTFR5AZQMILDQL","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FULTFR5A","created_at":"2026-05-18T12:31:15.632608+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/FULTFR5AZQMILDQLFP6KLUI5WH","json":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH.json","graph_json":"https://pith.science/api/pith-number/FULTFR5AZQMILDQLFP6KLUI5WH/graph.json","events_json":"https://pith.science/api/pith-number/FULTFR5AZQMILDQLFP6KLUI5WH/events.json","paper":"https://pith.science/paper/FULTFR5A"},"agent_actions":{"view_html":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH","download_json":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH.json","view_paper":"https://pith.science/paper/FULTFR5A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.06514&json=true","fetch_graph":"https://pith.science/api/pith-number/FULTFR5AZQMILDQLFP6KLUI5WH/graph.json","fetch_events":"https://pith.science/api/pith-number/FULTFR5AZQMILDQLFP6KLUI5WH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH/action/storage_attestation","attest_author":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH/action/author_attestation","sign_citation":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH/action/citation_signature","submit_replication":"https://pith.science/pith/FULTFR5AZQMILDQLFP6KLUI5WH/action/replication_record"}},"created_at":"2026-05-18T00:14:46.958557+00:00","updated_at":"2026-05-18T00:14:46.958557+00:00"}