{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:33B64P3WIJ3J7GWQ2IHPTHBYRE","short_pith_number":"pith:33B64P3W","schema_version":"1.0","canonical_sha256":"dec3ee3f7642769f9ad0d20ef99c38893b0687c67ad35899b37bf011296a5728","source":{"kind":"arxiv","id":"1906.01163","version":1},"attestation_state":"computed","paper":{"title":"Bayesian Game of Locks, Bombs and Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Isaac M. Sonin","submitted_at":"2019-06-03T16:20:13Z","abstract_excerpt":"We consider the game with discrete units of resources for protection and destruction of some sites. In our model, Defender (DF) has locks and Attacker (AT) has bombs to allocate among sites, trying to destroy these sites. One or more bombs can be placed into the same site. A site is destroyed if at least one explosion occurs. A lock is a protection device which, placed in a site, prevents its destruction with any number of bombs in it. The important feature of the model is that AT can and will test every site, trying to find sites without locks. This testing is not perfect: a test of a site ma"},"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":"1906.01163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-06-03T16:20:13Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"64eb536b8d02d4c206ee818a2203939767f6c6bc9bea7a2201152888699e4941","abstract_canon_sha256":"7df69579547dd8fd51042b6e2d020fecf562a3701bc946b4c4f76dae66803921"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:17.689743Z","signature_b64":"Xebyg1MR7DlLsbHMtQatR2WfokSRWrvI6BdH9wcx9l/tdWFc9YrHtV0n3gInrNxyYaRGCnP9W9+W9UTjeFqUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dec3ee3f7642769f9ad0d20ef99c38893b0687c67ad35899b37bf011296a5728","last_reissued_at":"2026-05-17T23:44:17.689215Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:17.689215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bayesian Game of Locks, Bombs and Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Isaac M. Sonin","submitted_at":"2019-06-03T16:20:13Z","abstract_excerpt":"We consider the game with discrete units of resources for protection and destruction of some sites. In our model, Defender (DF) has locks and Attacker (AT) has bombs to allocate among sites, trying to destroy these sites. One or more bombs can be placed into the same site. A site is destroyed if at least one explosion occurs. A lock is a protection device which, placed in a site, prevents its destruction with any number of bombs in it. The important feature of the model is that AT can and will test every site, trying to find sites without locks. This testing is not perfect: a test of a site ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01163","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1906.01163","created_at":"2026-05-17T23:44:17.689313+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.01163v1","created_at":"2026-05-17T23:44:17.689313+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01163","created_at":"2026-05-17T23:44:17.689313+00:00"},{"alias_kind":"pith_short_12","alias_value":"33B64P3WIJ3J","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"33B64P3WIJ3J7GWQ","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"33B64P3W","created_at":"2026-05-18T12:33:07.085635+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/33B64P3WIJ3J7GWQ2IHPTHBYRE","json":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE.json","graph_json":"https://pith.science/api/pith-number/33B64P3WIJ3J7GWQ2IHPTHBYRE/graph.json","events_json":"https://pith.science/api/pith-number/33B64P3WIJ3J7GWQ2IHPTHBYRE/events.json","paper":"https://pith.science/paper/33B64P3W"},"agent_actions":{"view_html":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE","download_json":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE.json","view_paper":"https://pith.science/paper/33B64P3W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.01163&json=true","fetch_graph":"https://pith.science/api/pith-number/33B64P3WIJ3J7GWQ2IHPTHBYRE/graph.json","fetch_events":"https://pith.science/api/pith-number/33B64P3WIJ3J7GWQ2IHPTHBYRE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE/action/storage_attestation","attest_author":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE/action/author_attestation","sign_citation":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE/action/citation_signature","submit_replication":"https://pith.science/pith/33B64P3WIJ3J7GWQ2IHPTHBYRE/action/replication_record"}},"created_at":"2026-05-17T23:44:17.689313+00:00","updated_at":"2026-05-17T23:44:17.689313+00:00"}