{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:454UEAWFPN27VBZMJFYU5N5WDU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3a936dda426f517ca21d3b2a109bb26e63428b94eaa51e2be64d5d74c80e119c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.AP","submitted_at":"2008-03-18T17:16:49Z","title_canon_sha256":"bd4aaddb7761b958b75d505f49979992cdff1cfc7eaa2513a19003d4c526f1fe"},"schema_version":"1.0","source":{"id":"0803.2679","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.2679","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"arxiv_version","alias_value":"0803.2679v3","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.2679","created_at":"2026-05-18T04:12:10Z"},{"alias_kind":"pith_short_12","alias_value":"454UEAWFPN27","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"454UEAWFPN27VBZM","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"454UEAWF","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:9e2cfe2dc806658ca603a44af704145b59af70324d72758163532e1bcd6f53d7","target":"graph","created_at":"2026-05-18T04:12:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The paper considers a particular family of set--valued stochastic processes modeling birth--and--growth processes. The proposed setting allows us to investigate the nucleation and the growth processes. A decomposition theorem is established to characterize the nucleation and the growth. As a consequence, different consistent set--valued estimators are studied for growth process. Moreover, the nucleation process is studied via the hitting function, and a consistent estimator of the nucleation hitting function is derived.","authors_text":"Enea G. Bongiorno, Giacomo Aletti, Vincenzo Capasso","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.AP","submitted_at":"2008-03-18T17:16:49Z","title":"Statistical aspects of birth--and--growth stochastic processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.2679","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b68d218d8d0adb5f3fc5b31ac96f4bd840ead052b4c1863a073898bea3f779ab","target":"record","created_at":"2026-05-18T04:12:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3a936dda426f517ca21d3b2a109bb26e63428b94eaa51e2be64d5d74c80e119c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.AP","submitted_at":"2008-03-18T17:16:49Z","title_canon_sha256":"bd4aaddb7761b958b75d505f49979992cdff1cfc7eaa2513a19003d4c526f1fe"},"schema_version":"1.0","source":{"id":"0803.2679","kind":"arxiv","version":3}},"canonical_sha256":"e7794202c57b75fa872c49714eb7b61d2093b672e61836fcc90f1660f5d9ac93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7794202c57b75fa872c49714eb7b61d2093b672e61836fcc90f1660f5d9ac93","first_computed_at":"2026-05-18T04:12:10.790897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:10.790897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ryP8JhaFKbi+ZymdtKtH1e25BxrigUk6+KZnxHsmaktMsGNkVfAwKEnbvbneADtekIcnTHcTnEKsByJjbbWgCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:10.791605Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.2679","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b68d218d8d0adb5f3fc5b31ac96f4bd840ead052b4c1863a073898bea3f779ab","sha256:9e2cfe2dc806658ca603a44af704145b59af70324d72758163532e1bcd6f53d7"],"state_sha256":"8b848c6d5b494075e111d3345b7a18aa594f586503a7c3ea7e6c04262ba7a396"}