{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:33WAZ5UJWSHXUX54UWE3A3L6GU","short_pith_number":"pith:33WAZ5UJ","canonical_record":{"source":{"id":"1612.02512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-12-08T02:21:09Z","cross_cats_sorted":[],"title_canon_sha256":"dc547d4a63f397897da57ad71f53231e5a98244efd6b73954a54061828af7814","abstract_canon_sha256":"483c0981881111f69897ac05d339a871eb47fc3945d39c574f7cc7a76cf224cd"},"schema_version":"1.0"},"canonical_sha256":"deec0cf689b48f7a5fbca589b06d7e3509bb5e07ba72ba369cee80b9a16f48b1","source":{"kind":"arxiv","id":"1612.02512","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02512","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02512v1","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02512","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"33WAZ5UJWSHX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"33WAZ5UJWSHXUX54","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"33WAZ5UJ","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:33WAZ5UJWSHXUX54UWE3A3L6GU","target":"record","payload":{"canonical_record":{"source":{"id":"1612.02512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-12-08T02:21:09Z","cross_cats_sorted":[],"title_canon_sha256":"dc547d4a63f397897da57ad71f53231e5a98244efd6b73954a54061828af7814","abstract_canon_sha256":"483c0981881111f69897ac05d339a871eb47fc3945d39c574f7cc7a76cf224cd"},"schema_version":"1.0"},"canonical_sha256":"deec0cf689b48f7a5fbca589b06d7e3509bb5e07ba72ba369cee80b9a16f48b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:49.230974Z","signature_b64":"0D29+EmQ4DBe71Vyg/JU0bcMZz8XLQhElAAGpWRYt/RGmie0dk1Kjh8XnAwYfz3SqKAO/hVDYtGS72AQT6yJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deec0cf689b48f7a5fbca589b06d7e3509bb5e07ba72ba369cee80b9a16f48b1","last_reissued_at":"2026-05-18T00:20:49.230395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:49.230395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.02512","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":"2026-05-18T00:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wl/YElP/XdAqU1spqiXKXNzoGDnENh1C/GX3B7l87lx/vBNztFvFcqWuNYh2wFFvW4mnOWSjhwLfKubVRVeNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:40:26.253553Z"},"content_sha256":"0c27005a58873d79e4a639960cec44b0fd2fea461263c92add706caf74d86f7f","schema_version":"1.0","event_id":"sha256:0c27005a58873d79e4a639960cec44b0fd2fea461263c92add706caf74d86f7f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:33WAZ5UJWSHXUX54UWE3A3L6GU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimation of social-influence-dependent peer pressures in a large network game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Haiqing Xu, Zhongjian Lin","submitted_at":"2016-12-08T02:21:09Z","abstract_excerpt":"Research on peer effects in sociology has been focused for long on social influence power to investigate the social foundations for social interactions. This paper extends Xu(2011)'s large--network--based game model by allowing for social-influence-dependent peer effects. In a large network, we use the Katz--Bonacich centrality to measure individuals' social influences. To solve the computational burden when the data come from the equilibrium of a large network, we extend Aguirregabiria and Mira (2007)'s nested pseudo likelihood estimation (NPLE) approach to our large network game model. Using"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02512","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":"2026-05-18T00:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o6/lVYnbA4rYb3tDzU3H9nNfA3+uQ8Te0Uqe62gt7SxpBTVaCNbZ8NKtPOclMwfBsZB+a1flB7cyzCoXRNJeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:40:26.253893Z"},"content_sha256":"f14a2c950631caa1afc6d61c8730a34a3d12e94b19a0af4840779ba5eb9c58c2","schema_version":"1.0","event_id":"sha256:f14a2c950631caa1afc6d61c8730a34a3d12e94b19a0af4840779ba5eb9c58c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/33WAZ5UJWSHXUX54UWE3A3L6GU/bundle.json","state_url":"https://pith.science/pith/33WAZ5UJWSHXUX54UWE3A3L6GU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/33WAZ5UJWSHXUX54UWE3A3L6GU/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":"2026-06-24T08:40:26Z","links":{"resolver":"https://pith.science/pith/33WAZ5UJWSHXUX54UWE3A3L6GU","bundle":"https://pith.science/pith/33WAZ5UJWSHXUX54UWE3A3L6GU/bundle.json","state":"https://pith.science/pith/33WAZ5UJWSHXUX54UWE3A3L6GU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/33WAZ5UJWSHXUX54UWE3A3L6GU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:33WAZ5UJWSHXUX54UWE3A3L6GU","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":"483c0981881111f69897ac05d339a871eb47fc3945d39c574f7cc7a76cf224cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-12-08T02:21:09Z","title_canon_sha256":"dc547d4a63f397897da57ad71f53231e5a98244efd6b73954a54061828af7814"},"schema_version":"1.0","source":{"id":"1612.02512","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02512","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02512v1","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02512","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"33WAZ5UJWSHX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"33WAZ5UJWSHXUX54","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"33WAZ5UJ","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:f14a2c950631caa1afc6d61c8730a34a3d12e94b19a0af4840779ba5eb9c58c2","target":"graph","created_at":"2026-05-18T00:20:49Z","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":"Research on peer effects in sociology has been focused for long on social influence power to investigate the social foundations for social interactions. This paper extends Xu(2011)'s large--network--based game model by allowing for social-influence-dependent peer effects. In a large network, we use the Katz--Bonacich centrality to measure individuals' social influences. To solve the computational burden when the data come from the equilibrium of a large network, we extend Aguirregabiria and Mira (2007)'s nested pseudo likelihood estimation (NPLE) approach to our large network game model. Using","authors_text":"Haiqing Xu, Zhongjian Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-12-08T02:21:09Z","title":"Estimation of social-influence-dependent peer pressures in a large network game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02512","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":"sha256:0c27005a58873d79e4a639960cec44b0fd2fea461263c92add706caf74d86f7f","target":"record","created_at":"2026-05-18T00:20:49Z","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":"483c0981881111f69897ac05d339a871eb47fc3945d39c574f7cc7a76cf224cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-12-08T02:21:09Z","title_canon_sha256":"dc547d4a63f397897da57ad71f53231e5a98244efd6b73954a54061828af7814"},"schema_version":"1.0","source":{"id":"1612.02512","kind":"arxiv","version":1}},"canonical_sha256":"deec0cf689b48f7a5fbca589b06d7e3509bb5e07ba72ba369cee80b9a16f48b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deec0cf689b48f7a5fbca589b06d7e3509bb5e07ba72ba369cee80b9a16f48b1","first_computed_at":"2026-05-18T00:20:49.230395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:49.230395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0D29+EmQ4DBe71Vyg/JU0bcMZz8XLQhElAAGpWRYt/RGmie0dk1Kjh8XnAwYfz3SqKAO/hVDYtGS72AQT6yJDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:49.230974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02512","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c27005a58873d79e4a639960cec44b0fd2fea461263c92add706caf74d86f7f","sha256:f14a2c950631caa1afc6d61c8730a34a3d12e94b19a0af4840779ba5eb9c58c2"],"state_sha256":"53bd021cf3f8bf78258c6d1c4c62c122d4f8e60e11c0b81836257f21d68e1cda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kdn40AIpFqedJk9cJxlwg46ARsU5L3EYs8Wgm/IjMUZYfrwIk0HlhI3ajFayOr3x/mQW12GDnLglRXTN24SAAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T08:40:26.255869Z","bundle_sha256":"bc668e030e62a462ee386b2bd48927147097076f2159503c24f1df68c7e81a82"}}