{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:VH5DW4735LR73I24UPK7NX2GQ4","short_pith_number":"pith:VH5DW473","canonical_record":{"source":{"id":"2010.05590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-10-12T10:33:53Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"7a9fbb5f586647f47de6c40ac24772353504a6b4c8e6f0797c2b6b14b0d407cb","abstract_canon_sha256":"4217ca8fe4cd9595609fd97c8921898123479cf6b15c2058a10099f284b004e5"},"schema_version":"1.0"},"canonical_sha256":"a9fa3b73fbeae3fda35ca3d5f6df46871ff555051b428403f5d9dad1f425ec0a","source":{"kind":"arxiv","id":"2010.05590","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.05590","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"2010.05590v1","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.05590","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"VH5DW4735LR7","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"pith_short_16","alias_value":"VH5DW4735LR73I24","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"pith_short_8","alias_value":"VH5DW473","created_at":"2026-07-05T01:42:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:VH5DW4735LR73I24UPK7NX2GQ4","target":"record","payload":{"canonical_record":{"source":{"id":"2010.05590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-10-12T10:33:53Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"7a9fbb5f586647f47de6c40ac24772353504a6b4c8e6f0797c2b6b14b0d407cb","abstract_canon_sha256":"4217ca8fe4cd9595609fd97c8921898123479cf6b15c2058a10099f284b004e5"},"schema_version":"1.0"},"canonical_sha256":"a9fa3b73fbeae3fda35ca3d5f6df46871ff555051b428403f5d9dad1f425ec0a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:42:08.298802Z","signature_b64":"wdQei7Tgh5DywOJd5NweGmkpgJfDKoLd6XqUFm9oo2r1B1ncPy/n4KHBEDgAucjzBXI7Ka3FybGypL3kz675Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9fa3b73fbeae3fda35ca3d5f6df46871ff555051b428403f5d9dad1f425ec0a","last_reissued_at":"2026-07-05T01:42:08.298406Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:42:08.298406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.05590","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":"2026-07-05T01:42:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7FYPmR3yEijZjvWLh3467Qbq1z11hSCuq/VFx/1cwuWe8UZBgXRuhCQbN68kVbsOBTkXMkeR5/RvePYg5N7UAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T12:22:49.067982Z"},"content_sha256":"233c27fde1bf43ea629c0979d4035c502e786501389f4265b39874a4ec9e48dc","schema_version":"1.0","event_id":"sha256:233c27fde1bf43ea629c0979d4035c502e786501389f4265b39874a4ec9e48dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:VH5DW4735LR73I24UPK7NX2GQ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contact tracing in configuration models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"physics.soc-ph","authors_text":"Clara Stegehuis, Ivan Kryven","submitted_at":"2020-10-12T10:33:53Z","abstract_excerpt":"Quarantining and contact tracing are popular ad hoc practices for mitigating epidemic outbreaks. However, few mathematical theories are currently available to asses the role of a network in the effectiveness of these practices. In this paper, we study how the final size of an epidemic is influenced by the procedure that combines contact tracing and quarantining on a network null model: the configuration model.\n  Namely, we suppose that infected vertices may self-quarantine and trace their infector with a given success probability.\n  A traced infector is, in turn, less likely to infect others. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.05590","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.05590/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:42:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBGWs94p0QgFkIqBycMcwgShOci1ETqHY3qHwm0yMfGCnq/nNf52KlVdrJ1ycdmbcNvFT6mqb3VajzZDz/gnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T12:22:49.068557Z"},"content_sha256":"b66a1b38e8a9d5c6a01dd3161f8af29c320a4ba6f85082112075f6cf6243100a","schema_version":"1.0","event_id":"sha256:b66a1b38e8a9d5c6a01dd3161f8af29c320a4ba6f85082112075f6cf6243100a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VH5DW4735LR73I24UPK7NX2GQ4/bundle.json","state_url":"https://pith.science/pith/VH5DW4735LR73I24UPK7NX2GQ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VH5DW4735LR73I24UPK7NX2GQ4/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":"2026-08-22T12:22:49Z","links":{"resolver":"https://pith.science/pith/VH5DW4735LR73I24UPK7NX2GQ4","bundle":"https://pith.science/pith/VH5DW4735LR73I24UPK7NX2GQ4/bundle.json","state":"https://pith.science/pith/VH5DW4735LR73I24UPK7NX2GQ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VH5DW4735LR73I24UPK7NX2GQ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VH5DW4735LR73I24UPK7NX2GQ4","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":"4217ca8fe4cd9595609fd97c8921898123479cf6b15c2058a10099f284b004e5","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-10-12T10:33:53Z","title_canon_sha256":"7a9fbb5f586647f47de6c40ac24772353504a6b4c8e6f0797c2b6b14b0d407cb"},"schema_version":"1.0","source":{"id":"2010.05590","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.05590","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"2010.05590v1","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.05590","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"VH5DW4735LR7","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"pith_short_16","alias_value":"VH5DW4735LR73I24","created_at":"2026-07-05T01:42:08Z"},{"alias_kind":"pith_short_8","alias_value":"VH5DW473","created_at":"2026-07-05T01:42:08Z"}],"graph_snapshots":[{"event_id":"sha256:b66a1b38e8a9d5c6a01dd3161f8af29c320a4ba6f85082112075f6cf6243100a","target":"graph","created_at":"2026-07-05T01:42:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.05590/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quarantining and contact tracing are popular ad hoc practices for mitigating epidemic outbreaks. However, few mathematical theories are currently available to asses the role of a network in the effectiveness of these practices. In this paper, we study how the final size of an epidemic is influenced by the procedure that combines contact tracing and quarantining on a network null model: the configuration model.\n  Namely, we suppose that infected vertices may self-quarantine and trace their infector with a given success probability.\n  A traced infector is, in turn, less likely to infect others. ","authors_text":"Clara Stegehuis, Ivan Kryven","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-10-12T10:33:53Z","title":"Contact tracing in configuration models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.05590","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":"sha256:233c27fde1bf43ea629c0979d4035c502e786501389f4265b39874a4ec9e48dc","target":"record","created_at":"2026-07-05T01:42:08Z","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":"4217ca8fe4cd9595609fd97c8921898123479cf6b15c2058a10099f284b004e5","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-10-12T10:33:53Z","title_canon_sha256":"7a9fbb5f586647f47de6c40ac24772353504a6b4c8e6f0797c2b6b14b0d407cb"},"schema_version":"1.0","source":{"id":"2010.05590","kind":"arxiv","version":1}},"canonical_sha256":"a9fa3b73fbeae3fda35ca3d5f6df46871ff555051b428403f5d9dad1f425ec0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9fa3b73fbeae3fda35ca3d5f6df46871ff555051b428403f5d9dad1f425ec0a","first_computed_at":"2026-07-05T01:42:08.298406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:42:08.298406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wdQei7Tgh5DywOJd5NweGmkpgJfDKoLd6XqUFm9oo2r1B1ncPy/n4KHBEDgAucjzBXI7Ka3FybGypL3kz675Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:42:08.298802Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.05590","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:233c27fde1bf43ea629c0979d4035c502e786501389f4265b39874a4ec9e48dc","sha256:b66a1b38e8a9d5c6a01dd3161f8af29c320a4ba6f85082112075f6cf6243100a"],"state_sha256":"51b045b65ee2b84c618b1d27a25918451c7eaf09604b9fc595352c9276f07fb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuO8TNjVoqLUYLhuxeGoc9Gpwm/0zb33BKD484e5Qh5ijAkUSQWl84Pllhjdxu8x6mgHPGnPvzeDeEY5TiL0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T12:22:49.075484Z","bundle_sha256":"f23f59ef13c34354f1032334462e1683e3d382f98e2f7eae0a0962a81cfe18c7"}}