{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:JVDSXALQI5T5N4G2H5DH643XPY","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":"289fe38869c8af522ffb4fe6b7d04fca8e802cd3a2f7978f306229b92ff5620c","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-10-09T17:46:29Z","title_canon_sha256":"d17f0943d7e332665d6c47d272f384e19492bdbc0518898293f43bd6acae979b"},"schema_version":"1.0","source":{"id":"2010.04703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.04703","created_at":"2026-07-05T01:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"2010.04703v1","created_at":"2026-07-05T01:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.04703","created_at":"2026-07-05T01:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"JVDSXALQI5T5","created_at":"2026-07-05T01:41:45Z"},{"alias_kind":"pith_short_16","alias_value":"JVDSXALQI5T5N4G2","created_at":"2026-07-05T01:41:45Z"},{"alias_kind":"pith_short_8","alias_value":"JVDSXALQ","created_at":"2026-07-05T01:41:45Z"}],"graph_snapshots":[{"event_id":"sha256:793e481263357806bb6dd1715d5582489e91279ecb40ef6d4ddc7b808bd0324e","target":"graph","created_at":"2026-07-05T01:41:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.04703/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Consider a bipartite network where $N$ consumers choose to buy or not to buy $M$ different products. This paper considers the properties of the logistic regression of the $N\\times M$ array of i-buys-j purchase decisions, $\\left[Y_{ij}\\right]_{1\\leq i\\leq N,1\\leq j\\leq M}$, onto known functions of consumer and product attributes under asymptotic sequences where (i) both $N$ and $M$ grow large and (ii) the average number of products purchased per consumer is finite in the limit. This latter assumption implies that the network of purchases is sparse: only a (very) small fraction of all possible p","authors_text":"Bryan S. Graham","cross_cats":["math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-10-09T17:46:29Z","title":"Sparse network asymptotics for logistic regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.04703","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:b703b1230a30e9970010496b89cbf6af52e7162076973d302e4833ad7d961942","target":"record","created_at":"2026-07-05T01:41:45Z","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":"289fe38869c8af522ffb4fe6b7d04fca8e802cd3a2f7978f306229b92ff5620c","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-10-09T17:46:29Z","title_canon_sha256":"d17f0943d7e332665d6c47d272f384e19492bdbc0518898293f43bd6acae979b"},"schema_version":"1.0","source":{"id":"2010.04703","kind":"arxiv","version":1}},"canonical_sha256":"4d472b81704767d6f0da3f467f73777e3587f2f3c28d6863f7bbd9ac473eb94c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d472b81704767d6f0da3f467f73777e3587f2f3c28d6863f7bbd9ac473eb94c","first_computed_at":"2026-07-05T01:41:45.700569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:41:45.700569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zhYdT1bEqDir7zwi1jx/eRJY81SJnVubXQVnQ9oFq90JeCOxF9gnl7Rhb+874TfP7RyhcIWe05ZQ3XgNvRNCBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:41:45.701036Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.04703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b703b1230a30e9970010496b89cbf6af52e7162076973d302e4833ad7d961942","sha256:793e481263357806bb6dd1715d5582489e91279ecb40ef6d4ddc7b808bd0324e"],"state_sha256":"fc487ac8591be6a2ff3fc68c3359c29213155e163dc43ba4aa8d62acfacfbccb"}