{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QGHHA6EXBOJB5M4PHU6KZ27BAX","short_pith_number":"pith:QGHHA6EX","canonical_record":{"source":{"id":"1107.0528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-07-04T05:45:37Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"7a843b3203f4d01eb26cfe1d7a9a41286585b51bbe9d92daf642d3706ff61cef","abstract_canon_sha256":"26baec6d09b7abff0972f482fbe62cd1f07a281719d79bcbab0faf986e2efd5e"},"schema_version":"1.0"},"canonical_sha256":"818e7078970b921eb38f3d3cacebe105e390016d95123f8523d0f492498fa887","source":{"kind":"arxiv","id":"1107.0528","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0528","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0528v1","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0528","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"QGHHA6EXBOJB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGHHA6EXBOJB5M4P","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGHHA6EX","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QGHHA6EXBOJB5M4PHU6KZ27BAX","target":"record","payload":{"canonical_record":{"source":{"id":"1107.0528","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-07-04T05:45:37Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"7a843b3203f4d01eb26cfe1d7a9a41286585b51bbe9d92daf642d3706ff61cef","abstract_canon_sha256":"26baec6d09b7abff0972f482fbe62cd1f07a281719d79bcbab0faf986e2efd5e"},"schema_version":"1.0"},"canonical_sha256":"818e7078970b921eb38f3d3cacebe105e390016d95123f8523d0f492498fa887","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:26.457156Z","signature_b64":"9xlp+qsLqHvTVrflJBMQ6RNXLc2dCUkdYIY+wSLsl54oE3ZGv0nCJqclBsaDJBX+siXiU9C5oi+9bvUl49wWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"818e7078970b921eb38f3d3cacebe105e390016d95123f8523d0f492498fa887","last_reissued_at":"2026-05-18T03:52:26.456549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:26.456549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.0528","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z3l6utafjHBMNYt08sEFlcU7ke36C6era5MhQGsIaq8XMODkdPRlyoIfeIY4RXlKCFOkxtXNCe4EXOD+UuRyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:51:22.702219Z"},"content_sha256":"b3edf7b925a4e118a6ef71a86f21dc9bd0e561912673511f11f9e1f275284675","schema_version":"1.0","event_id":"sha256:b3edf7b925a4e118a6ef71a86f21dc9bd0e561912673511f11f9e1f275284675"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QGHHA6EXBOJB5M4PHU6KZ27BAX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locally self-organized quasi-critical percolation in a multiple disease model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"nlin.AO","authors_text":"Jeppe Juul, Kim Sneppen","submitted_at":"2011-07-04T05:45:37Z","abstract_excerpt":"Diseases emerge, persist and vanish in an ongoing battle for available hosts. Hosts, on the other hand, defend themselves by developing immunity that limits the ability of pathogens to reinfect them. We here explore a multi-disease system with emphasis on mutual exclusion. We demonstrate that such a system develops towards a steady state, where the spread of individual diseases self-organizes to a state close to that of critical percolation, without any global control mechanism or separation of time scale. For a broad range of introduction rates of new diseases, the likelihood of transmitting "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0528","kind":"arxiv","version":1},"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":"2026-05-18T03:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1vQQDuDMh1XX4S15EQBqVhXCKyS3/UPwWnKLNgbyc6hHIvrSiLIgnoUSMT53vu5L47sVZs4H7fcO9SB3vKaXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:51:22.702641Z"},"content_sha256":"57a9d100bf0d6325be28a32d731f8b1f11c843c429da9ce9405eb49cba6ef657","schema_version":"1.0","event_id":"sha256:57a9d100bf0d6325be28a32d731f8b1f11c843c429da9ce9405eb49cba6ef657"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX/bundle.json","state_url":"https://pith.science/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX/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":"2026-06-08T13:51:22Z","links":{"resolver":"https://pith.science/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX","bundle":"https://pith.science/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX/bundle.json","state":"https://pith.science/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGHHA6EXBOJB5M4PHU6KZ27BAX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QGHHA6EXBOJB5M4PHU6KZ27BAX","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":"26baec6d09b7abff0972f482fbe62cd1f07a281719d79bcbab0faf986e2efd5e","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-07-04T05:45:37Z","title_canon_sha256":"7a843b3203f4d01eb26cfe1d7a9a41286585b51bbe9d92daf642d3706ff61cef"},"schema_version":"1.0","source":{"id":"1107.0528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0528","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0528v1","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0528","created_at":"2026-05-18T03:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"QGHHA6EXBOJB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QGHHA6EXBOJB5M4P","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QGHHA6EX","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:57a9d100bf0d6325be28a32d731f8b1f11c843c429da9ce9405eb49cba6ef657","target":"graph","created_at":"2026-05-18T03:52:26Z","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":"Diseases emerge, persist and vanish in an ongoing battle for available hosts. Hosts, on the other hand, defend themselves by developing immunity that limits the ability of pathogens to reinfect them. We here explore a multi-disease system with emphasis on mutual exclusion. We demonstrate that such a system develops towards a steady state, where the spread of individual diseases self-organizes to a state close to that of critical percolation, without any global control mechanism or separation of time scale. For a broad range of introduction rates of new diseases, the likelihood of transmitting ","authors_text":"Jeppe Juul, Kim Sneppen","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-07-04T05:45:37Z","title":"Locally self-organized quasi-critical percolation in a multiple disease model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0528","kind":"arxiv","version":1},"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:b3edf7b925a4e118a6ef71a86f21dc9bd0e561912673511f11f9e1f275284675","target":"record","created_at":"2026-05-18T03:52:26Z","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":"26baec6d09b7abff0972f482fbe62cd1f07a281719d79bcbab0faf986e2efd5e","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-07-04T05:45:37Z","title_canon_sha256":"7a843b3203f4d01eb26cfe1d7a9a41286585b51bbe9d92daf642d3706ff61cef"},"schema_version":"1.0","source":{"id":"1107.0528","kind":"arxiv","version":1}},"canonical_sha256":"818e7078970b921eb38f3d3cacebe105e390016d95123f8523d0f492498fa887","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"818e7078970b921eb38f3d3cacebe105e390016d95123f8523d0f492498fa887","first_computed_at":"2026-05-18T03:52:26.456549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:26.456549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9xlp+qsLqHvTVrflJBMQ6RNXLc2dCUkdYIY+wSLsl54oE3ZGv0nCJqclBsaDJBX+siXiU9C5oi+9bvUl49wWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:26.457156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3edf7b925a4e118a6ef71a86f21dc9bd0e561912673511f11f9e1f275284675","sha256:57a9d100bf0d6325be28a32d731f8b1f11c843c429da9ce9405eb49cba6ef657"],"state_sha256":"08973736d7154e01dffd4ad5354287f203288c2db1e8e986f075a97447932f6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YX6c8rzjkOQquZTuNONd9gXnr9Qm8eD+fNKY+yuRfTeTldNna3XAMrn6wHbWxhHDQxKhfDTK9L/17e4LSokRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T13:51:22.704711Z","bundle_sha256":"d2ea3239aeaf51177e22fbd19a6bf45b5d6c4a585a9734565c5d90511b031b53"}}