{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:C2ORYGZ7TLNN7ZZL657AMGNDGH","short_pith_number":"pith:C2ORYGZ7","schema_version":"1.0","canonical_sha256":"169d1c1b3f9adadfe72bf77e0619a331e6757cbee89de91fe894d2af737db475","source":{"kind":"arxiv","id":"1011.4183","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Feng Wang, Xian-Yuan Wu, Yong-Hua Mao","submitted_at":"2010-11-18T12:59:56Z","abstract_excerpt":"This paper focuses on the asymptotic behaviors of the length of the largest 1-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and then study its limit distribution."},"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":"1011.4183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-11-18T12:59:56Z","cross_cats_sorted":[],"title_canon_sha256":"1276eaf2d659a740fddeb40ef17d2f4d34bfc1303862ad2a3b1a4ab75c4c14d5","abstract_canon_sha256":"6c5e0aba2e5e13e17caeabbd618822810287921ee3789064c6f872493f698197"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:36.626034Z","signature_b64":"0Zsj6vrZS/V15/B7rLCBsVhNtFk6olfeW0BmxrvpCX8HJoAZRpiMvfI9KIbaHotIVdHYHOvH0fKlDixdVTONDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"169d1c1b3f9adadfe72bf77e0619a331e6757cbee89de91fe894d2af737db475","last_reissued_at":"2026-05-18T04:34:36.625430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:36.625430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Feng Wang, Xian-Yuan Wu, Yong-Hua Mao","submitted_at":"2010-11-18T12:59:56Z","abstract_excerpt":"This paper focuses on the asymptotic behaviors of the length of the largest 1-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and then study its limit distribution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4183","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":"1011.4183","created_at":"2026-05-18T04:34:36.625528+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4183v2","created_at":"2026-05-18T04:34:36.625528+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4183","created_at":"2026-05-18T04:34:36.625528+00:00"},{"alias_kind":"pith_short_12","alias_value":"C2ORYGZ7TLNN","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"C2ORYGZ7TLNN7ZZL","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"C2ORYGZ7","created_at":"2026-05-18T12:26:05.355336+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/C2ORYGZ7TLNN7ZZL657AMGNDGH","json":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH.json","graph_json":"https://pith.science/api/pith-number/C2ORYGZ7TLNN7ZZL657AMGNDGH/graph.json","events_json":"https://pith.science/api/pith-number/C2ORYGZ7TLNN7ZZL657AMGNDGH/events.json","paper":"https://pith.science/paper/C2ORYGZ7"},"agent_actions":{"view_html":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH","download_json":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH.json","view_paper":"https://pith.science/paper/C2ORYGZ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4183&json=true","fetch_graph":"https://pith.science/api/pith-number/C2ORYGZ7TLNN7ZZL657AMGNDGH/graph.json","fetch_events":"https://pith.science/api/pith-number/C2ORYGZ7TLNN7ZZL657AMGNDGH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH/action/storage_attestation","attest_author":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH/action/author_attestation","sign_citation":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH/action/citation_signature","submit_replication":"https://pith.science/pith/C2ORYGZ7TLNN7ZZL657AMGNDGH/action/replication_record"}},"created_at":"2026-05-18T04:34:36.625528+00:00","updated_at":"2026-05-18T04:34:36.625528+00:00"}