{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:G3ZA5DCT3YRKNWRWCL7ZW6FCST","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":"6326b742656cdc4638c1f8122b61b96e195694c0f7d0f96bbf59f6cac7a21148","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-15T13:41:52Z","title_canon_sha256":"2093e73411047dbbd11fdb55721015b179f83bfda20dddece0a25141a5a75267"},"schema_version":"1.0","source":{"id":"1605.04550","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04550","created_at":"2026-05-18T01:10:39Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04550v2","created_at":"2026-05-18T01:10:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04550","created_at":"2026-05-18T01:10:39Z"},{"alias_kind":"pith_short_12","alias_value":"G3ZA5DCT3YRK","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"G3ZA5DCT3YRKNWRW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"G3ZA5DCT","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:c2997cd3c264fd6a6bb99eed0dde82ead654e486c6b4cc559f2e0da86bf1332d","target":"graph","created_at":"2026-05-18T01:10:39Z","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":"Random tessellations of the space represent a class of prototype models of heterogeneous media, which are central in several applications in physics, engineering and life sciences. In this work, we investigate the statistical properties of $d$-dimensional isotropic Poisson geometries by resorting to Monte Carlo simulation, with special emphasis on the case $d=3$. We first analyse the behaviour of the key features of these stochastic geometries as a function of the dimension $d$ and the linear size $L$ of the domain. Then, we consider the case of Poisson binary mixtures, where the polyhedra are","authors_text":"Alain Mazzolo, Andrea Zoia, Coline Larmier, Eric Dumonteil, Fausto Malvagi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-15T13:41:52Z","title":"Finite-size effects and percolation properties of Poisson geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04550","kind":"arxiv","version":2},"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":"sha256:28abfefe643d6b16c45f3224f9c89f1d3d907cc9abf3305aac7658390a73b8e5","target":"record","created_at":"2026-05-18T01:10:39Z","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":"6326b742656cdc4638c1f8122b61b96e195694c0f7d0f96bbf59f6cac7a21148","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-15T13:41:52Z","title_canon_sha256":"2093e73411047dbbd11fdb55721015b179f83bfda20dddece0a25141a5a75267"},"schema_version":"1.0","source":{"id":"1605.04550","kind":"arxiv","version":2}},"canonical_sha256":"36f20e8c53de22a6da3612ff9b78a294e7964a4ba0bb3cae2c90af6863eff0e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36f20e8c53de22a6da3612ff9b78a294e7964a4ba0bb3cae2c90af6863eff0e8","first_computed_at":"2026-05-18T01:10:39.729595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:39.729595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CHo+kUZdphnkanLYyhovE5Mt6vrnNa7tJ+sJ0BOZcpkhckI3MSjjJQDmeLyzGkgsINJ/iPXc9KWIRPId3WoACw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:39.729989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04550","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28abfefe643d6b16c45f3224f9c89f1d3d907cc9abf3305aac7658390a73b8e5","sha256:c2997cd3c264fd6a6bb99eed0dde82ead654e486c6b4cc559f2e0da86bf1332d"],"state_sha256":"16f49d7662e65f2e248f54be63d075998e35212b4c1100f6f196156fe42b635b"}