{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:IRU6FBGGH5HDDMO5OQUO5UKY33","short_pith_number":"pith:IRU6FBGG","canonical_record":{"source":{"id":"2412.16298","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-12-20T19:16:52Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"2c2f16c93ac6fe8f12543784531e46e44ea2fa1554d3b1eb4907a67b18e7a6cb","abstract_canon_sha256":"eec722bb84cdcc1a32ebaa080ee1758cebb84b4447e4579f277c156d7b3a03aa"},"schema_version":"1.0"},"canonical_sha256":"4469e284c63f4e31b1dd7428eed158ded2030a2ffbc3675b2e681c88a7b927e1","source":{"kind":"arxiv","id":"2412.16298","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16298","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16298v1","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16298","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"IRU6FBGGH5HD","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_16","alias_value":"IRU6FBGGH5HDDMO5","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_8","alias_value":"IRU6FBGG","created_at":"2026-07-05T09:52:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:IRU6FBGGH5HDDMO5OQUO5UKY33","target":"record","payload":{"canonical_record":{"source":{"id":"2412.16298","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-12-20T19:16:52Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"2c2f16c93ac6fe8f12543784531e46e44ea2fa1554d3b1eb4907a67b18e7a6cb","abstract_canon_sha256":"eec722bb84cdcc1a32ebaa080ee1758cebb84b4447e4579f277c156d7b3a03aa"},"schema_version":"1.0"},"canonical_sha256":"4469e284c63f4e31b1dd7428eed158ded2030a2ffbc3675b2e681c88a7b927e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:52:44.379576Z","signature_b64":"8O5V1Pf+8aig/5fhJcMJjd4U2KXvokdE4eBQLP2WtmXZc1VdjfUd+8/TAf3GJr1gYhULSIMVdUQzUbwaOBJWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4469e284c63f4e31b1dd7428eed158ded2030a2ffbc3675b2e681c88a7b927e1","last_reissued_at":"2026-07-05T09:52:44.379132Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:52:44.379132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.16298","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":"2026-07-05T09:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"60kvMYRorgOCoKC4UHuhAdMIGyYoJJz2041aivxfgJGs/iYSJuFNGhXGPe2PlD75sbloBEuaZ1v5nJ/3+e7ZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:14:16.339646Z"},"content_sha256":"0cd353ad4e8d9671aec14f3427505443edb90573d421a2b3fd4f56153faef378","schema_version":"1.0","event_id":"sha256:0cd353ad4e8d9671aec14f3427505443edb90573d421a2b3fd4f56153faef378"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:IRU6FBGGH5HDDMO5OQUO5UKY33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Profile least squares estimation in networks with covariates","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Benjamin Bagozzi, Snigdhansu Chatterjee, Swati Chandna","submitted_at":"2024-12-20T19:16:52Z","abstract_excerpt":"Many real world networks exhibit edge heterogeneity with different pairs of nodes interacting with different intensities. Further, nodes with similar attributes tend to interact more with each other. Thus, in the presence of observed node attributes (covariates), it is of interest to understand the extent to which these covariates explain interactions between pairs of nodes and to suitably estimate the remaining structure due to unobserved factors. For example, in the study of international relations, the extent to which country-pair specific attributes such as the number of material/verbal co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16298","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.16298/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aQiJhHGltGALpLdmrkT53PUDShc8AvLIJlJZOn/elr58eAaJFQsHbbi9lC5uCa3rsx5IxzeoKawicF3RhR6kDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:14:16.340047Z"},"content_sha256":"7f422d425734e76f7d928fd761aaebad133e3a8efc53e80e18357ad8ecba6fd8","schema_version":"1.0","event_id":"sha256:7f422d425734e76f7d928fd761aaebad133e3a8efc53e80e18357ad8ecba6fd8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IRU6FBGGH5HDDMO5OQUO5UKY33/bundle.json","state_url":"https://pith.science/pith/IRU6FBGGH5HDDMO5OQUO5UKY33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IRU6FBGGH5HDDMO5OQUO5UKY33/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":"2026-08-18T09:14:16Z","links":{"resolver":"https://pith.science/pith/IRU6FBGGH5HDDMO5OQUO5UKY33","bundle":"https://pith.science/pith/IRU6FBGGH5HDDMO5OQUO5UKY33/bundle.json","state":"https://pith.science/pith/IRU6FBGGH5HDDMO5OQUO5UKY33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IRU6FBGGH5HDDMO5OQUO5UKY33/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IRU6FBGGH5HDDMO5OQUO5UKY33","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":"eec722bb84cdcc1a32ebaa080ee1758cebb84b4447e4579f277c156d7b3a03aa","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-12-20T19:16:52Z","title_canon_sha256":"2c2f16c93ac6fe8f12543784531e46e44ea2fa1554d3b1eb4907a67b18e7a6cb"},"schema_version":"1.0","source":{"id":"2412.16298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16298","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16298v1","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16298","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"IRU6FBGGH5HD","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_16","alias_value":"IRU6FBGGH5HDDMO5","created_at":"2026-07-05T09:52:44Z"},{"alias_kind":"pith_short_8","alias_value":"IRU6FBGG","created_at":"2026-07-05T09:52:44Z"}],"graph_snapshots":[{"event_id":"sha256:7f422d425734e76f7d928fd761aaebad133e3a8efc53e80e18357ad8ecba6fd8","target":"graph","created_at":"2026-07-05T09:52:44Z","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/2412.16298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many real world networks exhibit edge heterogeneity with different pairs of nodes interacting with different intensities. Further, nodes with similar attributes tend to interact more with each other. Thus, in the presence of observed node attributes (covariates), it is of interest to understand the extent to which these covariates explain interactions between pairs of nodes and to suitably estimate the remaining structure due to unobserved factors. For example, in the study of international relations, the extent to which country-pair specific attributes such as the number of material/verbal co","authors_text":"Benjamin Bagozzi, Snigdhansu Chatterjee, Swati Chandna","cross_cats":["stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-12-20T19:16:52Z","title":"Profile least squares estimation in networks with covariates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16298","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":"sha256:0cd353ad4e8d9671aec14f3427505443edb90573d421a2b3fd4f56153faef378","target":"record","created_at":"2026-07-05T09:52:44Z","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":"eec722bb84cdcc1a32ebaa080ee1758cebb84b4447e4579f277c156d7b3a03aa","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2024-12-20T19:16:52Z","title_canon_sha256":"2c2f16c93ac6fe8f12543784531e46e44ea2fa1554d3b1eb4907a67b18e7a6cb"},"schema_version":"1.0","source":{"id":"2412.16298","kind":"arxiv","version":1}},"canonical_sha256":"4469e284c63f4e31b1dd7428eed158ded2030a2ffbc3675b2e681c88a7b927e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4469e284c63f4e31b1dd7428eed158ded2030a2ffbc3675b2e681c88a7b927e1","first_computed_at":"2026-07-05T09:52:44.379132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:52:44.379132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8O5V1Pf+8aig/5fhJcMJjd4U2KXvokdE4eBQLP2WtmXZc1VdjfUd+8/TAf3GJr1gYhULSIMVdUQzUbwaOBJWAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:52:44.379576Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.16298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cd353ad4e8d9671aec14f3427505443edb90573d421a2b3fd4f56153faef378","sha256:7f422d425734e76f7d928fd761aaebad133e3a8efc53e80e18357ad8ecba6fd8"],"state_sha256":"5fe94d37b4fa9b0ea42ba05983877f6ed5014935f2b0a53f1b4cef19d4849c79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LVlG5JjXKuGFhU+4u8qS4+bN78rdfDUcBKBiLp/K6DhQvKZ7jbhMBu0MDhypeQGTcfUjB5obp2vb0V6knEQlDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T09:14:16.343123Z","bundle_sha256":"919ca2cfa1fc4e341bdd94be73d3dda9b91a1fd9c4c5c77702c1976d18d8b17d"}}