{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EDJOCT72SOICZ5ROMV6VYOTR7J","short_pith_number":"pith:EDJOCT72","schema_version":"1.0","canonical_sha256":"20d2e14ffa93902cf62e657d5c3a71fa7c4697c0a0dcb229197b5d03790016f3","source":{"kind":"arxiv","id":"1703.03061","version":1},"attestation_state":"computed","paper":{"title":"The hierarchical Cannings process in random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas Greven, Anton Klimovsky, Frank den Hollander","submitted_at":"2017-03-08T22:28:28Z","abstract_excerpt":"In an earlier paper, we introduced and studied a system of hierarchically interacting measure-valued random processes which describes a large population of individuals carrying types and living in colonies labelled by the hierarchical group of order $N$. The individuals are subject to migration, resampling on all hierarchical scales simultaneously. Upon resampling, a random positive fraction of the population in a block of colonies inherits the type of a random single individual in that block, which is why we refer to our system as the hierarchical Cannings process.\n  In the present paper, we "},"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":"1703.03061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-08T22:28:28Z","cross_cats_sorted":[],"title_canon_sha256":"1d059d20085b391ebcbdc68e77e460388443d6820634f1640287ed749c6d114c","abstract_canon_sha256":"9b0201b827d9253dccd94426a18fb7cd1b0789acf25be4830483991ccea58764"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:01.677165Z","signature_b64":"UHrNHTlUEiEoZiQPhyWmoAn0yNWvTt56iLgDbZJDLplDTBdPLMt3yOZR5NZsluywxOEa/dUQYb4/PvznVz2GDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20d2e14ffa93902cf62e657d5c3a71fa7c4697c0a0dcb229197b5d03790016f3","last_reissued_at":"2026-05-18T00:49:01.676470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:01.676470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The hierarchical Cannings process in random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andreas Greven, Anton Klimovsky, Frank den Hollander","submitted_at":"2017-03-08T22:28:28Z","abstract_excerpt":"In an earlier paper, we introduced and studied a system of hierarchically interacting measure-valued random processes which describes a large population of individuals carrying types and living in colonies labelled by the hierarchical group of order $N$. The individuals are subject to migration, resampling on all hierarchical scales simultaneously. Upon resampling, a random positive fraction of the population in a block of colonies inherits the type of a random single individual in that block, which is why we refer to our system as the hierarchical Cannings process.\n  In the present paper, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03061","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":"1703.03061","created_at":"2026-05-18T00:49:01.676585+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.03061v1","created_at":"2026-05-18T00:49:01.676585+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03061","created_at":"2026-05-18T00:49:01.676585+00:00"},{"alias_kind":"pith_short_12","alias_value":"EDJOCT72SOIC","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EDJOCT72SOICZ5RO","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EDJOCT72","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.06965","citing_title":"Stochastic Evolution of spatial populations: From configurations to genealogies and back","ref_index":6,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J","json":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J.json","graph_json":"https://pith.science/api/pith-number/EDJOCT72SOICZ5ROMV6VYOTR7J/graph.json","events_json":"https://pith.science/api/pith-number/EDJOCT72SOICZ5ROMV6VYOTR7J/events.json","paper":"https://pith.science/paper/EDJOCT72"},"agent_actions":{"view_html":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J","download_json":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J.json","view_paper":"https://pith.science/paper/EDJOCT72","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.03061&json=true","fetch_graph":"https://pith.science/api/pith-number/EDJOCT72SOICZ5ROMV6VYOTR7J/graph.json","fetch_events":"https://pith.science/api/pith-number/EDJOCT72SOICZ5ROMV6VYOTR7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J/action/storage_attestation","attest_author":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J/action/author_attestation","sign_citation":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J/action/citation_signature","submit_replication":"https://pith.science/pith/EDJOCT72SOICZ5ROMV6VYOTR7J/action/replication_record"}},"created_at":"2026-05-18T00:49:01.676585+00:00","updated_at":"2026-05-18T00:49:01.676585+00:00"}