{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:Q6GQOA5FWXLBDXVRLVYDLLQUMF","short_pith_number":"pith:Q6GQOA5F","canonical_record":{"source":{"id":"1901.03029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-10T06:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"4fd37fb37c4ddae307967b4c3361796c52801bacc42e5b5d27f732180f892605","abstract_canon_sha256":"f22e72620e1f240f0f0027b8569f0042eaae6924af75986117e3e08697867b2a"},"schema_version":"1.0"},"canonical_sha256":"878d0703a5b5d611deb15d7035ae146155e5a71e8824c82e795da2b0dbf17356","source":{"kind":"arxiv","id":"1901.03029","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03029","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03029v2","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03029","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"Q6GQOA5FWXLB","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"Q6GQOA5FWXLBDXVR","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"Q6GQOA5F","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:Q6GQOA5FWXLBDXVRLVYDLLQUMF","target":"record","payload":{"canonical_record":{"source":{"id":"1901.03029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-10T06:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"4fd37fb37c4ddae307967b4c3361796c52801bacc42e5b5d27f732180f892605","abstract_canon_sha256":"f22e72620e1f240f0f0027b8569f0042eaae6924af75986117e3e08697867b2a"},"schema_version":"1.0"},"canonical_sha256":"878d0703a5b5d611deb15d7035ae146155e5a71e8824c82e795da2b0dbf17356","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:07.083876Z","signature_b64":"OBhwSMXsL9/4h+hDUGfOaB0se5lYoCKbrQgIsxpMp76olJ8LtxnBJLH7yD6FFsvbPeESx27MJRGhOxhMynBJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"878d0703a5b5d611deb15d7035ae146155e5a71e8824c82e795da2b0dbf17356","last_reissued_at":"2026-05-17T23:55:07.083280Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:07.083280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.03029","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":"2026-05-17T23:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FlDWVG2K9WbwWzx+eO/wYFRA0KF8XiLBSI1mydX4nsIsfxxfl2jtdJoK0NPn+5HZ7uyY5zlNzdbwIYpb1cDNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:32:49.082025Z"},"content_sha256":"4392d27c1be3e030147fdf25b5e595adf3db0960136a34eeec4c2438d4044841","schema_version":"1.0","event_id":"sha256:4392d27c1be3e030147fdf25b5e595adf3db0960136a34eeec4c2438d4044841"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:Q6GQOA5FWXLBDXVRLVYDLLQUMF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Epidemic Outbreaks on Random Delaunay Triangulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Macedo-Filho, G. A. Alves, R. S. Ferreira, T. F. A. Alves","submitted_at":"2019-01-10T06:20:53Z","abstract_excerpt":"We study epidemic outbreaks on random Delaunay triangulations by applying Asynchronous SIR (susceptible-infected-removed) model kinetic Monte Carlo dynamics coupled to lattices extracted from the triangulations. In order to investigate the critical behavior of the model, we obtain the cluster size distribution by using Newman-Ziff algorithm, allowing to simulate random inhomogeneous lattices and measure any desired percolation observable. We numerically calculate the order parameter, defined as the wrapping cluster density, the mean cluster size, and Binder cumulant ratio defined for percolati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03029","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":"2026-05-17T23:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+KISyhboR1M6/uWdPSLf6TlIPQZ1iXG3XaZMYgy0kBe1j2XXLYXhMcISm5WZDCYWKAyJDDTl34KsO2rhD6rZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:32:49.082747Z"},"content_sha256":"b6d491dc3c28ede50ed9a582f0d12524c738917f8e54e88d727d799a42380f2d","schema_version":"1.0","event_id":"sha256:b6d491dc3c28ede50ed9a582f0d12524c738917f8e54e88d727d799a42380f2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF/bundle.json","state_url":"https://pith.science/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF/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":"2026-05-31T12:32:49Z","links":{"resolver":"https://pith.science/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF","bundle":"https://pith.science/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF/bundle.json","state":"https://pith.science/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q6GQOA5FWXLBDXVRLVYDLLQUMF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Q6GQOA5FWXLBDXVRLVYDLLQUMF","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":"f22e72620e1f240f0f0027b8569f0042eaae6924af75986117e3e08697867b2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-10T06:20:53Z","title_canon_sha256":"4fd37fb37c4ddae307967b4c3361796c52801bacc42e5b5d27f732180f892605"},"schema_version":"1.0","source":{"id":"1901.03029","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03029","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03029v2","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03029","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"Q6GQOA5FWXLB","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"Q6GQOA5FWXLBDXVR","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"Q6GQOA5F","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:b6d491dc3c28ede50ed9a582f0d12524c738917f8e54e88d727d799a42380f2d","target":"graph","created_at":"2026-05-17T23:55:07Z","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 epidemic outbreaks on random Delaunay triangulations by applying Asynchronous SIR (susceptible-infected-removed) model kinetic Monte Carlo dynamics coupled to lattices extracted from the triangulations. In order to investigate the critical behavior of the model, we obtain the cluster size distribution by using Newman-Ziff algorithm, allowing to simulate random inhomogeneous lattices and measure any desired percolation observable. We numerically calculate the order parameter, defined as the wrapping cluster density, the mean cluster size, and Binder cumulant ratio defined for percolati","authors_text":"A. Macedo-Filho, G. A. Alves, R. S. Ferreira, T. F. A. Alves","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-10T06:20:53Z","title":"Epidemic Outbreaks on Random Delaunay Triangulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03029","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":"sha256:4392d27c1be3e030147fdf25b5e595adf3db0960136a34eeec4c2438d4044841","target":"record","created_at":"2026-05-17T23:55:07Z","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":"f22e72620e1f240f0f0027b8569f0042eaae6924af75986117e3e08697867b2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-01-10T06:20:53Z","title_canon_sha256":"4fd37fb37c4ddae307967b4c3361796c52801bacc42e5b5d27f732180f892605"},"schema_version":"1.0","source":{"id":"1901.03029","kind":"arxiv","version":2}},"canonical_sha256":"878d0703a5b5d611deb15d7035ae146155e5a71e8824c82e795da2b0dbf17356","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"878d0703a5b5d611deb15d7035ae146155e5a71e8824c82e795da2b0dbf17356","first_computed_at":"2026-05-17T23:55:07.083280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:07.083280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OBhwSMXsL9/4h+hDUGfOaB0se5lYoCKbrQgIsxpMp76olJ8LtxnBJLH7yD6FFsvbPeESx27MJRGhOxhMynBJAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:07.083876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.03029","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4392d27c1be3e030147fdf25b5e595adf3db0960136a34eeec4c2438d4044841","sha256:b6d491dc3c28ede50ed9a582f0d12524c738917f8e54e88d727d799a42380f2d"],"state_sha256":"0b1bdf75996e48d23ea4e031a328c06c130fede7b3887a00af089aa0983e3cf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X7J/UHLuSUUVGHJAIeqqeO4n3a5wi6Yduxktx720vJUjzYVdl8uehS0hr5O0Tzsj/cNyXUiL2A4Q0x+oVSibAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:32:49.086753Z","bundle_sha256":"dd2fe3ec58b1edca6810514a57b1b66e275650bf557cd11966c62f7738e09207"}}