{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:76USD5ZBVT2OBROPCXPU5GCEZC","short_pith_number":"pith:76USD5ZB","schema_version":"1.0","canonical_sha256":"ffa921f721acf4e0c5cf15df4e9844c888c6a2aaa0a42ec3630899042b5219d1","source":{"kind":"arxiv","id":"1812.10855","version":1},"attestation_state":"computed","paper":{"title":"The largest order statistics for the inradius in an isotropic STIT tessellation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nicolas Chenavier, Werner Nagel","submitted_at":"2018-12-28T00:57:48Z","abstract_excerpt":"A planar stationary and isotropic STIT tessellation at time $t>0$ is observed in the window $W_\\rho={t^{-1}}\\sqrt{\\pi \\ \\rho}\\cdot [-\\frac{1}{2},\\frac{1}{2}]^2$, for $\\rho>0$. With each cell of the tessellation, we associate the inradius, which is the radius of the largest disk contained in the cell. Using the Chen-Stein method, we compute the limit distributions of the largest order statistics for the inradii of all cells whose nuclei are contained in $W_\\rho$ as $\\rho$ goes to infinity."},"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":"1812.10855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-12-28T00:57:48Z","cross_cats_sorted":[],"title_canon_sha256":"ca00be358be53647dac734c4103fcc98aea1ff2636c0379e33439b931de077ce","abstract_canon_sha256":"57457aad74188c8e59f1902471507106ea8a9483950428341de16bd946721b8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:16.893204Z","signature_b64":"099WS5rK6mgh8oHDnjnldLuvV5BKy1MkMNM1dJMjdTNf5uQMFIiHkbcFwfxwVSQukgP6M4BlE0L+XSWJxvWEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffa921f721acf4e0c5cf15df4e9844c888c6a2aaa0a42ec3630899042b5219d1","last_reissued_at":"2026-05-17T23:57:16.892741Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:16.892741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The largest order statistics for the inradius in an isotropic STIT tessellation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nicolas Chenavier, Werner Nagel","submitted_at":"2018-12-28T00:57:48Z","abstract_excerpt":"A planar stationary and isotropic STIT tessellation at time $t>0$ is observed in the window $W_\\rho={t^{-1}}\\sqrt{\\pi \\ \\rho}\\cdot [-\\frac{1}{2},\\frac{1}{2}]^2$, for $\\rho>0$. With each cell of the tessellation, we associate the inradius, which is the radius of the largest disk contained in the cell. Using the Chen-Stein method, we compute the limit distributions of the largest order statistics for the inradii of all cells whose nuclei are contained in $W_\\rho$ as $\\rho$ goes to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10855","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":"1812.10855","created_at":"2026-05-17T23:57:16.892813+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.10855v1","created_at":"2026-05-17T23:57:16.892813+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10855","created_at":"2026-05-17T23:57:16.892813+00:00"},{"alias_kind":"pith_short_12","alias_value":"76USD5ZBVT2O","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"76USD5ZBVT2OBROP","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"76USD5ZB","created_at":"2026-05-18T12:32:11.075285+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/76USD5ZBVT2OBROPCXPU5GCEZC","json":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC.json","graph_json":"https://pith.science/api/pith-number/76USD5ZBVT2OBROPCXPU5GCEZC/graph.json","events_json":"https://pith.science/api/pith-number/76USD5ZBVT2OBROPCXPU5GCEZC/events.json","paper":"https://pith.science/paper/76USD5ZB"},"agent_actions":{"view_html":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC","download_json":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC.json","view_paper":"https://pith.science/paper/76USD5ZB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.10855&json=true","fetch_graph":"https://pith.science/api/pith-number/76USD5ZBVT2OBROPCXPU5GCEZC/graph.json","fetch_events":"https://pith.science/api/pith-number/76USD5ZBVT2OBROPCXPU5GCEZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC/action/storage_attestation","attest_author":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC/action/author_attestation","sign_citation":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC/action/citation_signature","submit_replication":"https://pith.science/pith/76USD5ZBVT2OBROPCXPU5GCEZC/action/replication_record"}},"created_at":"2026-05-17T23:57:16.892813+00:00","updated_at":"2026-05-17T23:57:16.892813+00:00"}