{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PQMSKANA7WWCUMV6AXFWXEEFWH","short_pith_number":"pith:PQMSKANA","schema_version":"1.0","canonical_sha256":"7c192501a0fdac2a32be05cb6b9085b1f401c2c663908e4d5a4364db0239074f","source":{"kind":"arxiv","id":"1409.5640","version":3},"attestation_state":"computed","paper":{"title":"On the Propagation of Low-Rate Measurement Error to Subgraph Counts in Large Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Eric D. Kolaczyk, Prakash Balachandran, Weston Viles","submitted_at":"2014-09-19T13:10:02Z","abstract_excerpt":"Our work in this paper is inspired by a statistical observation that is both elementary and broadly relevant to network analysis in practice -- that the uncertainty in approximating some true network graph $G=(V,E)$ by some estimated graph $\\hat{G}=(V,\\hat{E})$ manifests as errors in the status of (non)edges that must necessarily propagate to any estimates of network summaries $\\eta(G)$ we seek. Motivated by the common practice of using plug-in estimates $\\eta(\\hat{G})$ as proxies for $\\eta(G)$, our focus is on the problem of characterizing the distribution of the discrepancy $D=\\eta(\\hat{G}) "},"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":"1409.5640","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-19T13:10:02Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"0eecee2103a7a595b87ce2679c71b5f415e10897f6a6ced458732d9eb913c02c","abstract_canon_sha256":"859d399bf3fa52caff64e4664ab0b208f96c9ec8a571701b12aa179b6df204ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:57.153430Z","signature_b64":"wBltpveVOjveA/B0Q6w3i4fwLkngdVeOwxeRuXL02nVPXO7p7ewVI5ma+II4BfQkq7PItyKC0J2Q7Is7gh4YAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c192501a0fdac2a32be05cb6b9085b1f401c2c663908e4d5a4364db0239074f","last_reissued_at":"2026-05-18T01:02:57.152959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:57.152959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Propagation of Low-Rate Measurement Error to Subgraph Counts in Large Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Eric D. Kolaczyk, Prakash Balachandran, Weston Viles","submitted_at":"2014-09-19T13:10:02Z","abstract_excerpt":"Our work in this paper is inspired by a statistical observation that is both elementary and broadly relevant to network analysis in practice -- that the uncertainty in approximating some true network graph $G=(V,E)$ by some estimated graph $\\hat{G}=(V,\\hat{E})$ manifests as errors in the status of (non)edges that must necessarily propagate to any estimates of network summaries $\\eta(G)$ we seek. Motivated by the common practice of using plug-in estimates $\\eta(\\hat{G})$ as proxies for $\\eta(G)$, our focus is on the problem of characterizing the distribution of the discrepancy $D=\\eta(\\hat{G}) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5640","kind":"arxiv","version":3},"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":"1409.5640","created_at":"2026-05-18T01:02:57.153039+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.5640v3","created_at":"2026-05-18T01:02:57.153039+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5640","created_at":"2026-05-18T01:02:57.153039+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQMSKANA7WWC","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQMSKANA7WWCUMV6","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQMSKANA","created_at":"2026-05-18T12:28:43.426989+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/PQMSKANA7WWCUMV6AXFWXEEFWH","json":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH.json","graph_json":"https://pith.science/api/pith-number/PQMSKANA7WWCUMV6AXFWXEEFWH/graph.json","events_json":"https://pith.science/api/pith-number/PQMSKANA7WWCUMV6AXFWXEEFWH/events.json","paper":"https://pith.science/paper/PQMSKANA"},"agent_actions":{"view_html":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH","download_json":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH.json","view_paper":"https://pith.science/paper/PQMSKANA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.5640&json=true","fetch_graph":"https://pith.science/api/pith-number/PQMSKANA7WWCUMV6AXFWXEEFWH/graph.json","fetch_events":"https://pith.science/api/pith-number/PQMSKANA7WWCUMV6AXFWXEEFWH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH/action/storage_attestation","attest_author":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH/action/author_attestation","sign_citation":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH/action/citation_signature","submit_replication":"https://pith.science/pith/PQMSKANA7WWCUMV6AXFWXEEFWH/action/replication_record"}},"created_at":"2026-05-18T01:02:57.153039+00:00","updated_at":"2026-05-18T01:02:57.153039+00:00"}