{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:C3LXHZYTQFBACFT653RMWIEGFO","short_pith_number":"pith:C3LXHZYT","canonical_record":{"source":{"id":"1609.02654","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2016-09-09T04:12:13Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"45edac7320166ee770b056d885e145a03c73fc911b471b5d48920e89d801e9d2","abstract_canon_sha256":"278ec01b02fc9c96ecbe6997f6a7e3bfb959d562c26bd993e57592c4c9b41ced"},"schema_version":"1.0"},"canonical_sha256":"16d773e713814201167eeee2cb20862b97fd8693f1957645ee6f9e1bd957c8d2","source":{"kind":"arxiv","id":"1609.02654","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02654","created_at":"2026-05-18T00:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02654v1","created_at":"2026-05-18T00:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02654","created_at":"2026-05-18T00:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"C3LXHZYTQFBA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C3LXHZYTQFBACFT6","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C3LXHZYT","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:C3LXHZYTQFBACFT653RMWIEGFO","target":"record","payload":{"canonical_record":{"source":{"id":"1609.02654","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2016-09-09T04:12:13Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"45edac7320166ee770b056d885e145a03c73fc911b471b5d48920e89d801e9d2","abstract_canon_sha256":"278ec01b02fc9c96ecbe6997f6a7e3bfb959d562c26bd993e57592c4c9b41ced"},"schema_version":"1.0"},"canonical_sha256":"16d773e713814201167eeee2cb20862b97fd8693f1957645ee6f9e1bd957c8d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:52.771622Z","signature_b64":"AZB+rB+tCYwUyIl3gx1hVgBhRNPnPV5a0zOwDmPiaG6DGMdd1u4giXWXP5lNq4CYW+7CRgBhPfvVq36iCZjkAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16d773e713814201167eeee2cb20862b97fd8693f1957645ee6f9e1bd957c8d2","last_reissued_at":"2026-05-18T00:37:52.771074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:52.771074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.02654","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":"2026-05-18T00:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLyPFHZVK1DwsT40KcU14CLTLLWZpMzNyjitlbPx4ecb5wK5Jdeg6zQPX2u9Pv6iUDd7UixN+qXq/yodEjpLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:26:41.838288Z"},"content_sha256":"df4776e43d17a9b62d48965f4f73d98b0e0fdffd5d8801bcaa34d697f56dd7ad","schema_version":"1.0","event_id":"sha256:df4776e43d17a9b62d48965f4f73d98b0e0fdffd5d8801bcaa34d697f56dd7ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:C3LXHZYTQFBACFT653RMWIEGFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Disease Outbreak Detection in a Community Using Network Observability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"q-bio.QM","authors_text":"Atiye Alaeddini, Kristi A. Morgansen","submitted_at":"2016-09-09T04:12:13Z","abstract_excerpt":"Given a network, we would like to determine which subset of nodes should be measured by limited sensing facilities to maximize information about the entire network. The optimal choice corresponds to the configuration that returns the highest value of a measure of observability of the system. Here, the determinant of the inverse of the observability Gramian is used to evaluate the degree of observability. Additionally, the effects of changes in the topology of the corresponding graph of a network on the observability of the network are investigated. The theory is illustrated on the problem of d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02654","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":"2026-05-18T00:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctFmp405MSbDsrKMlFeURhVSyQu3+TUYl+nXwPxPHRx2XIpbqjha7DiMo0/7VULJAE0ZhyhlNV0K0rBrBvniBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:26:41.838763Z"},"content_sha256":"3cc5dced300647710d0c1fffbdd11380c5a1a4fb16057b9e8796925b83c203dd","schema_version":"1.0","event_id":"sha256:3cc5dced300647710d0c1fffbdd11380c5a1a4fb16057b9e8796925b83c203dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3LXHZYTQFBACFT653RMWIEGFO/bundle.json","state_url":"https://pith.science/pith/C3LXHZYTQFBACFT653RMWIEGFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3LXHZYTQFBACFT653RMWIEGFO/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":"2026-05-30T14:26:41Z","links":{"resolver":"https://pith.science/pith/C3LXHZYTQFBACFT653RMWIEGFO","bundle":"https://pith.science/pith/C3LXHZYTQFBACFT653RMWIEGFO/bundle.json","state":"https://pith.science/pith/C3LXHZYTQFBACFT653RMWIEGFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3LXHZYTQFBACFT653RMWIEGFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C3LXHZYTQFBACFT653RMWIEGFO","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":"278ec01b02fc9c96ecbe6997f6a7e3bfb959d562c26bd993e57592c4c9b41ced","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2016-09-09T04:12:13Z","title_canon_sha256":"45edac7320166ee770b056d885e145a03c73fc911b471b5d48920e89d801e9d2"},"schema_version":"1.0","source":{"id":"1609.02654","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02654","created_at":"2026-05-18T00:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02654v1","created_at":"2026-05-18T00:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02654","created_at":"2026-05-18T00:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"C3LXHZYTQFBA","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C3LXHZYTQFBACFT6","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C3LXHZYT","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:3cc5dced300647710d0c1fffbdd11380c5a1a4fb16057b9e8796925b83c203dd","target":"graph","created_at":"2026-05-18T00:37:52Z","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":"Given a network, we would like to determine which subset of nodes should be measured by limited sensing facilities to maximize information about the entire network. The optimal choice corresponds to the configuration that returns the highest value of a measure of observability of the system. Here, the determinant of the inverse of the observability Gramian is used to evaluate the degree of observability. Additionally, the effects of changes in the topology of the corresponding graph of a network on the observability of the network are investigated. The theory is illustrated on the problem of d","authors_text":"Atiye Alaeddini, Kristi A. Morgansen","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2016-09-09T04:12:13Z","title":"Optimal Disease Outbreak Detection in a Community Using Network Observability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02654","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:df4776e43d17a9b62d48965f4f73d98b0e0fdffd5d8801bcaa34d697f56dd7ad","target":"record","created_at":"2026-05-18T00:37:52Z","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":"278ec01b02fc9c96ecbe6997f6a7e3bfb959d562c26bd993e57592c4c9b41ced","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2016-09-09T04:12:13Z","title_canon_sha256":"45edac7320166ee770b056d885e145a03c73fc911b471b5d48920e89d801e9d2"},"schema_version":"1.0","source":{"id":"1609.02654","kind":"arxiv","version":1}},"canonical_sha256":"16d773e713814201167eeee2cb20862b97fd8693f1957645ee6f9e1bd957c8d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16d773e713814201167eeee2cb20862b97fd8693f1957645ee6f9e1bd957c8d2","first_computed_at":"2026-05-18T00:37:52.771074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:52.771074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZB+rB+tCYwUyIl3gx1hVgBhRNPnPV5a0zOwDmPiaG6DGMdd1u4giXWXP5lNq4CYW+7CRgBhPfvVq36iCZjkAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:52.771622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02654","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df4776e43d17a9b62d48965f4f73d98b0e0fdffd5d8801bcaa34d697f56dd7ad","sha256:3cc5dced300647710d0c1fffbdd11380c5a1a4fb16057b9e8796925b83c203dd"],"state_sha256":"47e8e3ccd4b2cc03256c8eefa93b2ae3e49a1516cd61025fe524182983c53b0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKs9YdxLZS0fYVBMJQgtL8B48dmzrLbrcyjbNrHUTs5Vv7xwQ/84Ikre305SBwgym0X5xsn55JfvXH1cgpoPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:26:41.841732Z","bundle_sha256":"21d1da929a13848898d15f19a191668991eabf7ca2f1444776b892df59352291"}}