{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:KAYVNW3JBCMXX4MK474ET66CGG","short_pith_number":"pith:KAYVNW3J","schema_version":"1.0","canonical_sha256":"503156db6908997bf18ae7f849fbc231a7387a17349e484bf962a32c34898e9a","source":{"kind":"arxiv","id":"2011.11413","version":5},"attestation_state":"computed","paper":{"title":"Low case numbers enable long-term stable pandemic control without lockdowns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"F. Paul Spitzner, Jonas Dehning, Sebastian B. Mohr, Sebastian Contreras, Simon Bauer, Viola Priesemann","submitted_at":"2020-11-23T14:16:52Z","abstract_excerpt":"The traditional long-term solutions for epidemic control involve eradication or population immunity. Here, we analytically derive the existence of a third viable solution: a stable equilibrium at low case numbers, where test-trace-and-isolate policies partially compensate for local spreading events, and only moderate restrictions remain necessary. In this equilibrium, daily cases stabilize around ten new infections per million people or less. However, stability is endangered if restrictions are relaxed or case numbers grow too high. The latter destabilization marks a tipping point beyond which"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2011.11413","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2020-11-23T14:16:52Z","cross_cats_sorted":[],"title_canon_sha256":"c544c6beeadbf677d4d346ca2662a2ff02b2e40337794ef3746764284babf0c4","abstract_canon_sha256":"70eabea37c46902d3247c40370399c35bde802fe0727bf91a25962cc7293b3c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:22:33.278576Z","signature_b64":"daoyr3UHRYQmOiksXjM4BdoA0roxqqWmwUpbvUD5sm5/I3EBDuDqKtDHk7MfNGWiqT2zz6jstKp6Q9FjdL1fCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"503156db6908997bf18ae7f849fbc231a7387a17349e484bf962a32c34898e9a","last_reissued_at":"2026-07-05T03:22:33.278170Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:22:33.278170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low case numbers enable long-term stable pandemic control without lockdowns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"F. Paul Spitzner, Jonas Dehning, Sebastian B. Mohr, Sebastian Contreras, Simon Bauer, Viola Priesemann","submitted_at":"2020-11-23T14:16:52Z","abstract_excerpt":"The traditional long-term solutions for epidemic control involve eradication or population immunity. Here, we analytically derive the existence of a third viable solution: a stable equilibrium at low case numbers, where test-trace-and-isolate policies partially compensate for local spreading events, and only moderate restrictions remain necessary. In this equilibrium, daily cases stabilize around ten new infections per million people or less. However, stability is endangered if restrictions are relaxed or case numbers grow too high. The latter destabilization marks a tipping point beyond which"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.11413","kind":"arxiv","version":5},"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/2011.11413/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2011.11413","created_at":"2026-07-05T03:22:33.278225+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.11413v5","created_at":"2026-07-05T03:22:33.278225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.11413","created_at":"2026-07-05T03:22:33.278225+00:00"},{"alias_kind":"pith_short_12","alias_value":"KAYVNW3JBCMX","created_at":"2026-07-05T03:22:33.278225+00:00"},{"alias_kind":"pith_short_16","alias_value":"KAYVNW3JBCMXX4MK","created_at":"2026-07-05T03:22:33.278225+00:00"},{"alias_kind":"pith_short_8","alias_value":"KAYVNW3J","created_at":"2026-07-05T03:22:33.278225+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG","json":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG.json","graph_json":"https://pith.science/api/pith-number/KAYVNW3JBCMXX4MK474ET66CGG/graph.json","events_json":"https://pith.science/api/pith-number/KAYVNW3JBCMXX4MK474ET66CGG/events.json","paper":"https://pith.science/paper/KAYVNW3J"},"agent_actions":{"view_html":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG","download_json":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG.json","view_paper":"https://pith.science/paper/KAYVNW3J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.11413&json=true","fetch_graph":"https://pith.science/api/pith-number/KAYVNW3JBCMXX4MK474ET66CGG/graph.json","fetch_events":"https://pith.science/api/pith-number/KAYVNW3JBCMXX4MK474ET66CGG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG/action/storage_attestation","attest_author":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG/action/author_attestation","sign_citation":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG/action/citation_signature","submit_replication":"https://pith.science/pith/KAYVNW3JBCMXX4MK474ET66CGG/action/replication_record"}},"created_at":"2026-07-05T03:22:33.278225+00:00","updated_at":"2026-07-05T03:22:33.278225+00:00"}