{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OR46HTYSLE3ML2XUED2GENSCQB","short_pith_number":"pith:OR46HTYS","canonical_record":{"source":{"id":"1809.03266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-10T12:22:00Z","cross_cats_sorted":[],"title_canon_sha256":"2450f5cba9081db82ce84b5337e9424ab2bf5b3e82b37cb86d2147e39790dafe","abstract_canon_sha256":"5a895afafb9ba84346bdeedc5a272484c5763a8d06bbde2bc2527a9202c56e32"},"schema_version":"1.0"},"canonical_sha256":"7479e3cf125936c5eaf420f4623642804abb1d017c94fa58f7e9431e0e444164","source":{"kind":"arxiv","id":"1809.03266","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03266","created_at":"2026-05-17T23:53:28Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03266v2","created_at":"2026-05-17T23:53:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03266","created_at":"2026-05-17T23:53:28Z"},{"alias_kind":"pith_short_12","alias_value":"OR46HTYSLE3M","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OR46HTYSLE3ML2XU","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OR46HTYS","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OR46HTYSLE3ML2XUED2GENSCQB","target":"record","payload":{"canonical_record":{"source":{"id":"1809.03266","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-10T12:22:00Z","cross_cats_sorted":[],"title_canon_sha256":"2450f5cba9081db82ce84b5337e9424ab2bf5b3e82b37cb86d2147e39790dafe","abstract_canon_sha256":"5a895afafb9ba84346bdeedc5a272484c5763a8d06bbde2bc2527a9202c56e32"},"schema_version":"1.0"},"canonical_sha256":"7479e3cf125936c5eaf420f4623642804abb1d017c94fa58f7e9431e0e444164","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:28.846723Z","signature_b64":"1Z0ITOD2ZAd06kKCsHCVv/VnrbTnEtrGOHu5Lo4AlrrYvPxzh/k1ME97v+HCF/XmQ9WICBB1uDhRcfy5SS/xBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7479e3cf125936c5eaf420f4623642804abb1d017c94fa58f7e9431e0e444164","last_reissued_at":"2026-05-17T23:53:28.846241Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:28.846241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.03266","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1q1i158CSaCgz9+vbNpIm8ARSzbmlGxxZuBTBv8kHw0CaQZuzQV6rhsLUfJSanRSaf5E12pwEc+Bwk02HJ3zDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:52:59.736599Z"},"content_sha256":"3ab5c02c8fa6c4e2c8662cc3a8ace3950bbfe7c987f03157880c1747b0a64016","schema_version":"1.0","event_id":"sha256:3ab5c02c8fa6c4e2c8662cc3a8ace3950bbfe7c987f03157880c1747b0a64016"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OR46HTYSLE3ML2XUED2GENSCQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Density decay and growth of correlations in the Game of Life","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Cornu, H.J. Hilhorst","submitted_at":"2018-09-10T12:22:00Z","abstract_excerpt":"We study the Game of Life as a statistical system on an $L\\times L$ square lattice with periodic boundary conditions. Starting from a random initial configuration of density $\\rho_{\\rm in}=0.3$ we investigate the relaxation of the density as well as the growth with time of spatial correlations. The asymptotic density relaxation is exponential with a characteristic time $\\tau_L$ whose system size dependence follows a power law $\\tau_L\\propto L^z$ with $z=1.66\\pm 0.05$ before saturating at large system sizes to a constant $\\tau_\\infty$. The correlation growth is characterized by a time dependent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03266","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FqBCNM1OjJs2pc+vxPeFstrOogvUSpKUssYjKk21z4vmh/svzD9AluhOxWVYf7eLJclmNE/plN+h7nnj+7CRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:52:59.736947Z"},"content_sha256":"a9a75f3c49cca2fc5e9fc97bb41241142e16750641ef9007d503f2c80b1a601b","schema_version":"1.0","event_id":"sha256:a9a75f3c49cca2fc5e9fc97bb41241142e16750641ef9007d503f2c80b1a601b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OR46HTYSLE3ML2XUED2GENSCQB/bundle.json","state_url":"https://pith.science/pith/OR46HTYSLE3ML2XUED2GENSCQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OR46HTYSLE3ML2XUED2GENSCQB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T12:52:59Z","links":{"resolver":"https://pith.science/pith/OR46HTYSLE3ML2XUED2GENSCQB","bundle":"https://pith.science/pith/OR46HTYSLE3ML2XUED2GENSCQB/bundle.json","state":"https://pith.science/pith/OR46HTYSLE3ML2XUED2GENSCQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OR46HTYSLE3ML2XUED2GENSCQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OR46HTYSLE3ML2XUED2GENSCQB","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":"5a895afafb9ba84346bdeedc5a272484c5763a8d06bbde2bc2527a9202c56e32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-10T12:22:00Z","title_canon_sha256":"2450f5cba9081db82ce84b5337e9424ab2bf5b3e82b37cb86d2147e39790dafe"},"schema_version":"1.0","source":{"id":"1809.03266","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03266","created_at":"2026-05-17T23:53:28Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03266v2","created_at":"2026-05-17T23:53:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03266","created_at":"2026-05-17T23:53:28Z"},{"alias_kind":"pith_short_12","alias_value":"OR46HTYSLE3M","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OR46HTYSLE3ML2XU","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OR46HTYS","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:a9a75f3c49cca2fc5e9fc97bb41241142e16750641ef9007d503f2c80b1a601b","target":"graph","created_at":"2026-05-17T23:53:28Z","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":"We study the Game of Life as a statistical system on an $L\\times L$ square lattice with periodic boundary conditions. Starting from a random initial configuration of density $\\rho_{\\rm in}=0.3$ we investigate the relaxation of the density as well as the growth with time of spatial correlations. The asymptotic density relaxation is exponential with a characteristic time $\\tau_L$ whose system size dependence follows a power law $\\tau_L\\propto L^z$ with $z=1.66\\pm 0.05$ before saturating at large system sizes to a constant $\\tau_\\infty$. The correlation growth is characterized by a time dependent","authors_text":"F. Cornu, H.J. Hilhorst","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-10T12:22:00Z","title":"Density decay and growth of correlations in the Game of Life"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03266","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":"sha256:3ab5c02c8fa6c4e2c8662cc3a8ace3950bbfe7c987f03157880c1747b0a64016","target":"record","created_at":"2026-05-17T23:53:28Z","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":"5a895afafb9ba84346bdeedc5a272484c5763a8d06bbde2bc2527a9202c56e32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-10T12:22:00Z","title_canon_sha256":"2450f5cba9081db82ce84b5337e9424ab2bf5b3e82b37cb86d2147e39790dafe"},"schema_version":"1.0","source":{"id":"1809.03266","kind":"arxiv","version":2}},"canonical_sha256":"7479e3cf125936c5eaf420f4623642804abb1d017c94fa58f7e9431e0e444164","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7479e3cf125936c5eaf420f4623642804abb1d017c94fa58f7e9431e0e444164","first_computed_at":"2026-05-17T23:53:28.846241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:28.846241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Z0ITOD2ZAd06kKCsHCVv/VnrbTnEtrGOHu5Lo4AlrrYvPxzh/k1ME97v+HCF/XmQ9WICBB1uDhRcfy5SS/xBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:28.846723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03266","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ab5c02c8fa6c4e2c8662cc3a8ace3950bbfe7c987f03157880c1747b0a64016","sha256:a9a75f3c49cca2fc5e9fc97bb41241142e16750641ef9007d503f2c80b1a601b"],"state_sha256":"cc1e97ae8aae400b6df670f682f7d17838f87401fd4d2cddc6932649c687c006"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RR47hFhwWFGOairNLVZDQy2125w2CiaAqR9vauiFqVwMV9ihK+cgJtr4FEDh5xcZP4LB0a0t8uHh/qUq8vLUBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:52:59.738864Z","bundle_sha256":"a3a6b48d8b9235004d441d21de6a279be3581e400bc492299f7ba1c070f908b4"}}