{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BWRP62XXUYJDIFRSNI75CAPCFA","short_pith_number":"pith:BWRP62XX","canonical_record":{"source":{"id":"1711.08237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-22T11:39:21Z","cross_cats_sorted":["cs.AI","cs.SI"],"title_canon_sha256":"45ee8d4e9b950ba95e2576148a2e6753d33d3e7437362482e8eddc7edb41b391","abstract_canon_sha256":"eb1814f9c961753e7dcad292e6e3045343503d4a7ee093648835ae0bd00ca540"},"schema_version":"1.0"},"canonical_sha256":"0da2ff6af7a6123416326a3fd101e2282f1a9f110ae5d0e130cb5d4319192452","source":{"kind":"arxiv","id":"1711.08237","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08237","created_at":"2026-05-18T00:29:50Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08237v1","created_at":"2026-05-18T00:29:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08237","created_at":"2026-05-18T00:29:50Z"},{"alias_kind":"pith_short_12","alias_value":"BWRP62XXUYJD","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BWRP62XXUYJDIFRS","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BWRP62XX","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BWRP62XXUYJDIFRSNI75CAPCFA","target":"record","payload":{"canonical_record":{"source":{"id":"1711.08237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-22T11:39:21Z","cross_cats_sorted":["cs.AI","cs.SI"],"title_canon_sha256":"45ee8d4e9b950ba95e2576148a2e6753d33d3e7437362482e8eddc7edb41b391","abstract_canon_sha256":"eb1814f9c961753e7dcad292e6e3045343503d4a7ee093648835ae0bd00ca540"},"schema_version":"1.0"},"canonical_sha256":"0da2ff6af7a6123416326a3fd101e2282f1a9f110ae5d0e130cb5d4319192452","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:50.320640Z","signature_b64":"SgzWfG6toqBoBhXP4n82GlR1dxcGaTTcFEcaFki6j1V4ZPl4UzEM7xrpCVbj6Rt5JpIs8mkI8aGSCcDpCxY3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0da2ff6af7a6123416326a3fd101e2282f1a9f110ae5d0e130cb5d4319192452","last_reissued_at":"2026-05-18T00:29:50.320202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:50.320202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.08237","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":"2026-05-18T00:29:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5AzqK3PHU38C8S4wMecuhKild6Q9I8Cwpegpa8wVy/Rm9qOoDuy4v/TEzsFN104tD8pd3yAz2tkdQ30NcwMGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:46:40.214108Z"},"content_sha256":"81bb7ffaa7eeddfc624515fab10b794d0fad1a365bdcacde35fc7b2c64b09af2","schema_version":"1.0","event_id":"sha256:81bb7ffaa7eeddfc624515fab10b794d0fad1a365bdcacde35fc7b2c64b09af2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BWRP62XXUYJDIFRSNI75CAPCFA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Stochastic Firefighter Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.SI"],"primary_cat":"cs.SY","authors_text":"Constantine Caramanis, Guy Tennenholtz, Shie Mannor","submitted_at":"2017-11-22T11:39:21Z","abstract_excerpt":"The dynamics of infectious diseases spread is crucial in determining their risk and offering ways to contain them. We study sequential vaccination of individuals in networks. In the original (deterministic) version of the Firefighter problem, a fire breaks out at some node of a given graph. At each time step, b nodes can be protected by a firefighter and then the fire spreads to all unprotected neighbors of the nodes on fire. The process ends when the fire can no longer spread. We extend the Firefighter problem to a probabilistic setting, where the infection is stochastic. We devise a simple p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08237","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":"2026-05-18T00:29:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"15nf/HYzSUhWK5BugQxXLdwc4lv7Gle6Q6sP3V0mc4lNj6AldifSU6CxlOqLvvU9phAWFoQA7RGDshQt2Y8FCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:46:40.214773Z"},"content_sha256":"9e34c7a1db8070fd5c6d72984d4275d3b77757d9b708302e2e3e09c50ce824ab","schema_version":"1.0","event_id":"sha256:9e34c7a1db8070fd5c6d72984d4275d3b77757d9b708302e2e3e09c50ce824ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BWRP62XXUYJDIFRSNI75CAPCFA/bundle.json","state_url":"https://pith.science/pith/BWRP62XXUYJDIFRSNI75CAPCFA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BWRP62XXUYJDIFRSNI75CAPCFA/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":"2026-05-25T09:46:40Z","links":{"resolver":"https://pith.science/pith/BWRP62XXUYJDIFRSNI75CAPCFA","bundle":"https://pith.science/pith/BWRP62XXUYJDIFRSNI75CAPCFA/bundle.json","state":"https://pith.science/pith/BWRP62XXUYJDIFRSNI75CAPCFA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BWRP62XXUYJDIFRSNI75CAPCFA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BWRP62XXUYJDIFRSNI75CAPCFA","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":"eb1814f9c961753e7dcad292e6e3045343503d4a7ee093648835ae0bd00ca540","cross_cats_sorted":["cs.AI","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-22T11:39:21Z","title_canon_sha256":"45ee8d4e9b950ba95e2576148a2e6753d33d3e7437362482e8eddc7edb41b391"},"schema_version":"1.0","source":{"id":"1711.08237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08237","created_at":"2026-05-18T00:29:50Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08237v1","created_at":"2026-05-18T00:29:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08237","created_at":"2026-05-18T00:29:50Z"},{"alias_kind":"pith_short_12","alias_value":"BWRP62XXUYJD","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BWRP62XXUYJDIFRS","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BWRP62XX","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:9e34c7a1db8070fd5c6d72984d4275d3b77757d9b708302e2e3e09c50ce824ab","target":"graph","created_at":"2026-05-18T00:29:50Z","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":"The dynamics of infectious diseases spread is crucial in determining their risk and offering ways to contain them. We study sequential vaccination of individuals in networks. In the original (deterministic) version of the Firefighter problem, a fire breaks out at some node of a given graph. At each time step, b nodes can be protected by a firefighter and then the fire spreads to all unprotected neighbors of the nodes on fire. The process ends when the fire can no longer spread. We extend the Firefighter problem to a probabilistic setting, where the infection is stochastic. We devise a simple p","authors_text":"Constantine Caramanis, Guy Tennenholtz, Shie Mannor","cross_cats":["cs.AI","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-22T11:39:21Z","title":"The Stochastic Firefighter Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08237","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":"sha256:81bb7ffaa7eeddfc624515fab10b794d0fad1a365bdcacde35fc7b2c64b09af2","target":"record","created_at":"2026-05-18T00:29:50Z","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":"eb1814f9c961753e7dcad292e6e3045343503d4a7ee093648835ae0bd00ca540","cross_cats_sorted":["cs.AI","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-22T11:39:21Z","title_canon_sha256":"45ee8d4e9b950ba95e2576148a2e6753d33d3e7437362482e8eddc7edb41b391"},"schema_version":"1.0","source":{"id":"1711.08237","kind":"arxiv","version":1}},"canonical_sha256":"0da2ff6af7a6123416326a3fd101e2282f1a9f110ae5d0e130cb5d4319192452","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0da2ff6af7a6123416326a3fd101e2282f1a9f110ae5d0e130cb5d4319192452","first_computed_at":"2026-05-18T00:29:50.320202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:50.320202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SgzWfG6toqBoBhXP4n82GlR1dxcGaTTcFEcaFki6j1V4ZPl4UzEM7xrpCVbj6Rt5JpIs8mkI8aGSCcDpCxY3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:50.320640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.08237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81bb7ffaa7eeddfc624515fab10b794d0fad1a365bdcacde35fc7b2c64b09af2","sha256:9e34c7a1db8070fd5c6d72984d4275d3b77757d9b708302e2e3e09c50ce824ab"],"state_sha256":"8a2f23ad5986065c18d8145e42c1ad424d821cbb52ae56e435b7bbd074abf453"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KK2ARVXEKgaccQ5HlKaik3kpGh0f1jOCgE1ob2lQapYifDwVu1jNwg4bj79BSCxvH9tOOx/htWhid1uYpmyEAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:46:40.218231Z","bundle_sha256":"9b6823e16266917d1f3f3701214c195e479795b44025409abde17d16b39992b1"}}