{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SCSNWJMKDZEBWTZKZEAAXCAVAH","short_pith_number":"pith:SCSNWJMK","canonical_record":{"source":{"id":"2101.12312","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2021-01-28T22:53:54Z","cross_cats_sorted":[],"title_canon_sha256":"c6b127fc6d7847078eca4df5a0371728e238c39aa5b48d3663a699283b893a51","abstract_canon_sha256":"156899efc604cf559d7cd95793056e6a21fa033da19282bbd47f360b449d511b"},"schema_version":"1.0"},"canonical_sha256":"90a4db258a1e481b4f2ac9000b881501cf5ff9841f7eac60b1dde360a4f91463","source":{"kind":"arxiv","id":"2101.12312","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.12312","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"arxiv_version","alias_value":"2101.12312v1","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.12312","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"pith_short_12","alias_value":"SCSNWJMKDZEB","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"pith_short_16","alias_value":"SCSNWJMKDZEBWTZK","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"pith_short_8","alias_value":"SCSNWJMK","created_at":"2026-07-05T02:10:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SCSNWJMKDZEBWTZKZEAAXCAVAH","target":"record","payload":{"canonical_record":{"source":{"id":"2101.12312","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2021-01-28T22:53:54Z","cross_cats_sorted":[],"title_canon_sha256":"c6b127fc6d7847078eca4df5a0371728e238c39aa5b48d3663a699283b893a51","abstract_canon_sha256":"156899efc604cf559d7cd95793056e6a21fa033da19282bbd47f360b449d511b"},"schema_version":"1.0"},"canonical_sha256":"90a4db258a1e481b4f2ac9000b881501cf5ff9841f7eac60b1dde360a4f91463","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:10:42.701373Z","signature_b64":"3aqETuQkFP6l1zK1tQpqM/5ZrErv1BcIETCpRSg7Q9Uw/VVjmrrw2s2MqeT9E48mnMLFQ8mZE+JtuPG7Q/UMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90a4db258a1e481b4f2ac9000b881501cf5ff9841f7eac60b1dde360a4f91463","last_reissued_at":"2026-07-05T02:10:42.700812Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:10:42.700812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.12312","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":"2026-07-05T02:10:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EpsskN/FwS5rN6e6wGCU4rPdENy7aAskUoXu+aRssElVnocHuLwliKsN8tbYW0WiHcQpAgYo4heNLvwdsoa4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:47:48.253733Z"},"content_sha256":"7221976e6bfd5d5be3263a174c46f78836a58219822ea4ea731c871d5c0dcc23","schema_version":"1.0","event_id":"sha256:7221976e6bfd5d5be3263a174c46f78836a58219822ea4ea731c871d5c0dcc23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SCSNWJMKDZEBWTZKZEAAXCAVAH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Bootstrap for Network Dependent Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"econ.EM","authors_text":"Denis Kojevnikov","submitted_at":"2021-01-28T22:53:54Z","abstract_excerpt":"This paper focuses on the bootstrap for network dependent processes under the conditional $\\psi$-weak dependence. Such processes are distinct from other forms of random fields studied in the statistics and econometrics literature so that the existing bootstrap methods cannot be applied directly. We propose a block-based approach and a modification of the dependent wild bootstrap for constructing confidence sets for the mean of a network dependent process. In addition, we establish the consistency of these methods for the smooth function model and provide the bootstrap alternatives to the netwo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.12312","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/2101.12312/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":"2026-07-05T02:10:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHXxLKJ3lPNJV8/0wzkfDjGLRj0O7k0cDGmyOw053gz5bWfMxP0RvdJqdc724yScF0YR5tQQ1dpYXlH/aluJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:47:48.254246Z"},"content_sha256":"9738486bbc0456db1ef70ed4d6c7b9be68b8daca5d7df0f4ef45a11a646a23f4","schema_version":"1.0","event_id":"sha256:9738486bbc0456db1ef70ed4d6c7b9be68b8daca5d7df0f4ef45a11a646a23f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH/bundle.json","state_url":"https://pith.science/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH/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":"2026-08-03T19:47:48Z","links":{"resolver":"https://pith.science/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH","bundle":"https://pith.science/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH/bundle.json","state":"https://pith.science/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCSNWJMKDZEBWTZKZEAAXCAVAH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SCSNWJMKDZEBWTZKZEAAXCAVAH","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":"156899efc604cf559d7cd95793056e6a21fa033da19282bbd47f360b449d511b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2021-01-28T22:53:54Z","title_canon_sha256":"c6b127fc6d7847078eca4df5a0371728e238c39aa5b48d3663a699283b893a51"},"schema_version":"1.0","source":{"id":"2101.12312","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.12312","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"arxiv_version","alias_value":"2101.12312v1","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.12312","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"pith_short_12","alias_value":"SCSNWJMKDZEB","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"pith_short_16","alias_value":"SCSNWJMKDZEBWTZK","created_at":"2026-07-05T02:10:42Z"},{"alias_kind":"pith_short_8","alias_value":"SCSNWJMK","created_at":"2026-07-05T02:10:42Z"}],"graph_snapshots":[{"event_id":"sha256:9738486bbc0456db1ef70ed4d6c7b9be68b8daca5d7df0f4ef45a11a646a23f4","target":"graph","created_at":"2026-07-05T02:10:42Z","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/2101.12312/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper focuses on the bootstrap for network dependent processes under the conditional $\\psi$-weak dependence. Such processes are distinct from other forms of random fields studied in the statistics and econometrics literature so that the existing bootstrap methods cannot be applied directly. We propose a block-based approach and a modification of the dependent wild bootstrap for constructing confidence sets for the mean of a network dependent process. In addition, we establish the consistency of these methods for the smooth function model and provide the bootstrap alternatives to the netwo","authors_text":"Denis Kojevnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2021-01-28T22:53:54Z","title":"The Bootstrap for Network Dependent Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.12312","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":"sha256:7221976e6bfd5d5be3263a174c46f78836a58219822ea4ea731c871d5c0dcc23","target":"record","created_at":"2026-07-05T02:10:42Z","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":"156899efc604cf559d7cd95793056e6a21fa033da19282bbd47f360b449d511b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2021-01-28T22:53:54Z","title_canon_sha256":"c6b127fc6d7847078eca4df5a0371728e238c39aa5b48d3663a699283b893a51"},"schema_version":"1.0","source":{"id":"2101.12312","kind":"arxiv","version":1}},"canonical_sha256":"90a4db258a1e481b4f2ac9000b881501cf5ff9841f7eac60b1dde360a4f91463","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90a4db258a1e481b4f2ac9000b881501cf5ff9841f7eac60b1dde360a4f91463","first_computed_at":"2026-07-05T02:10:42.700812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:10:42.700812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3aqETuQkFP6l1zK1tQpqM/5ZrErv1BcIETCpRSg7Q9Uw/VVjmrrw2s2MqeT9E48mnMLFQ8mZE+JtuPG7Q/UMAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:10:42.701373Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.12312","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7221976e6bfd5d5be3263a174c46f78836a58219822ea4ea731c871d5c0dcc23","sha256:9738486bbc0456db1ef70ed4d6c7b9be68b8daca5d7df0f4ef45a11a646a23f4"],"state_sha256":"c24ae8b486232a51924c18bcf0004e16bcd82efe14daec0f7cef5b09b4fbea5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZFM5mSCszV4w+DG5sgs15/jVVejJ6IEKAHme9XiZDbn3UOm2DIj7OiDhX2u8Y1k5T4pMxKp7zK34M1wP2rMTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:47:48.258868Z","bundle_sha256":"528bf856348e610cdfa357da3fbe297451d589ee9e17117948f6a6fa7d83234b"}}