{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:O6C7REUY7SPKG3CA3FNDECWQIK","short_pith_number":"pith:O6C7REUY","canonical_record":{"source":{"id":"1701.05177","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-01-18T18:38:08Z","cross_cats_sorted":[],"title_canon_sha256":"f0cf6eaed9f896f7f923c4ba20aa0cbc40ded46265818bef2cf7da489b1587a9","abstract_canon_sha256":"e765d5d1ef055b93e72c0b4bc17f6455075c3b8236ee51efdb5410541bbf3343"},"schema_version":"1.0"},"canonical_sha256":"7785f89298fc9ea36c40d95a320ad042b6a8f9b7110417fcfe7b797e68920b8f","source":{"kind":"arxiv","id":"1701.05177","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05177","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05177v2","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05177","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"O6C7REUY7SPK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O6C7REUY7SPKG3CA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O6C7REUY","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:O6C7REUY7SPKG3CA3FNDECWQIK","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05177","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-01-18T18:38:08Z","cross_cats_sorted":[],"title_canon_sha256":"f0cf6eaed9f896f7f923c4ba20aa0cbc40ded46265818bef2cf7da489b1587a9","abstract_canon_sha256":"e765d5d1ef055b93e72c0b4bc17f6455075c3b8236ee51efdb5410541bbf3343"},"schema_version":"1.0"},"canonical_sha256":"7785f89298fc9ea36c40d95a320ad042b6a8f9b7110417fcfe7b797e68920b8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:45.567498Z","signature_b64":"Mf3rIjmDDrBy7qjdeXDxwAv1ADK2y3lwk77GtKbUKMgv8leCVDPhuamNuyPYSezmuVPdGEu2GRpcOsuscUHdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7785f89298fc9ea36c40d95a320ad042b6a8f9b7110417fcfe7b797e68920b8f","last_reissued_at":"2026-05-18T00:16:45.566925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:45.566925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05177","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vb4dUU1gv1Onk51V+PdQJeTMThpxoUG4uDCob4H4vq+v22BcPpWNAlW2tKt4yUCJvuXQ0lLDapOJeQVf505jCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:37:36.581566Z"},"content_sha256":"65e9c230383f99eafcacc990c15bd41f2b21af88222393a8716f93466bf3aca2","schema_version":"1.0","event_id":"sha256:65e9c230383f99eafcacc990c15bd41f2b21af88222393a8716f93466bf3aca2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:O6C7REUY7SPKG3CA3FNDECWQIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical Power in Longitudinal Network Studies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Christian Steglich, Christoph Stadtfeld, Marijtje A. J. van Duijn, Tom A. B. Snijders","submitted_at":"2017-01-18T18:38:08Z","abstract_excerpt":"Longitudinal social network studies can easily suffer from insufficient statistical power. Studies that simultaneously investigate change of network ties and change of nodal attributes (selection and influence studies) are particularly at risk because the number of nodal observations is typically much lower than the number of observed tie variables. This paper presents a simulation-based procedure to evaluate statistical power of longitudinal social network studies in which stochastic actor-oriented models (SAOMs) are to be applied. Two detailed case studies illustrate how statistical power is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05177","kind":"arxiv","version":2},"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":"2026-05-18T00:16:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"79k71Grsv8eN9l6igDDSstON93VqwcCCbyGhKFFpTt7G41fExj3olcP3gQd39oA8TOcCIcVN9LVx8wVf7EIRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:37:36.581903Z"},"content_sha256":"6e781f28f1f0d3c975c0a407075a9caeb746931f1739f7ddd8a14d5ca772029d","schema_version":"1.0","event_id":"sha256:6e781f28f1f0d3c975c0a407075a9caeb746931f1739f7ddd8a14d5ca772029d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6C7REUY7SPKG3CA3FNDECWQIK/bundle.json","state_url":"https://pith.science/pith/O6C7REUY7SPKG3CA3FNDECWQIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6C7REUY7SPKG3CA3FNDECWQIK/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":"2026-06-26T09:37:36Z","links":{"resolver":"https://pith.science/pith/O6C7REUY7SPKG3CA3FNDECWQIK","bundle":"https://pith.science/pith/O6C7REUY7SPKG3CA3FNDECWQIK/bundle.json","state":"https://pith.science/pith/O6C7REUY7SPKG3CA3FNDECWQIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6C7REUY7SPKG3CA3FNDECWQIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O6C7REUY7SPKG3CA3FNDECWQIK","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":"e765d5d1ef055b93e72c0b4bc17f6455075c3b8236ee51efdb5410541bbf3343","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-01-18T18:38:08Z","title_canon_sha256":"f0cf6eaed9f896f7f923c4ba20aa0cbc40ded46265818bef2cf7da489b1587a9"},"schema_version":"1.0","source":{"id":"1701.05177","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05177","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05177v2","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05177","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"O6C7REUY7SPK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O6C7REUY7SPKG3CA","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O6C7REUY","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:6e781f28f1f0d3c975c0a407075a9caeb746931f1739f7ddd8a14d5ca772029d","target":"graph","created_at":"2026-05-18T00:16:45Z","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"},"paper":{"abstract_excerpt":"Longitudinal social network studies can easily suffer from insufficient statistical power. Studies that simultaneously investigate change of network ties and change of nodal attributes (selection and influence studies) are particularly at risk because the number of nodal observations is typically much lower than the number of observed tie variables. This paper presents a simulation-based procedure to evaluate statistical power of longitudinal social network studies in which stochastic actor-oriented models (SAOMs) are to be applied. Two detailed case studies illustrate how statistical power is","authors_text":"Christian Steglich, Christoph Stadtfeld, Marijtje A. J. van Duijn, Tom A. B. Snijders","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-01-18T18:38:08Z","title":"Statistical Power in Longitudinal Network Studies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05177","kind":"arxiv","version":2},"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":"sha256:65e9c230383f99eafcacc990c15bd41f2b21af88222393a8716f93466bf3aca2","target":"record","created_at":"2026-05-18T00:16:45Z","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":"e765d5d1ef055b93e72c0b4bc17f6455075c3b8236ee51efdb5410541bbf3343","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-01-18T18:38:08Z","title_canon_sha256":"f0cf6eaed9f896f7f923c4ba20aa0cbc40ded46265818bef2cf7da489b1587a9"},"schema_version":"1.0","source":{"id":"1701.05177","kind":"arxiv","version":2}},"canonical_sha256":"7785f89298fc9ea36c40d95a320ad042b6a8f9b7110417fcfe7b797e68920b8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7785f89298fc9ea36c40d95a320ad042b6a8f9b7110417fcfe7b797e68920b8f","first_computed_at":"2026-05-18T00:16:45.566925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:45.566925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mf3rIjmDDrBy7qjdeXDxwAv1ADK2y3lwk77GtKbUKMgv8leCVDPhuamNuyPYSezmuVPdGEu2GRpcOsuscUHdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:45.567498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05177","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65e9c230383f99eafcacc990c15bd41f2b21af88222393a8716f93466bf3aca2","sha256:6e781f28f1f0d3c975c0a407075a9caeb746931f1739f7ddd8a14d5ca772029d"],"state_sha256":"75c45166e7031dd7eb02daff6f230b32d4a98a9ceb6470eb129a53dee72cf923"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nYxdMzLiYmx0tMXOU9R16pwizrsuN/0eMXIQk77h1bmuW8Pv7nduf9wTgXfp1IiHkbTNcqWl/qQ7RHqI8AIDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:37:36.583768Z","bundle_sha256":"d52acb99a83be4e3373f123b48479e975b129b37708677adf175e922dda833bd"}}