{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:M7FTDNQJERAGOBUL4DO4FDLPP4","short_pith_number":"pith:M7FTDNQJ","canonical_record":{"source":{"id":"0908.1258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2009-08-09T22:35:14Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"4f81870064bd8ce8dc007eb33c1ce855c00a87d21bf791a1c5c5c8566265e22d","abstract_canon_sha256":"991f6e77402ceab4f4de2b6fc01258d0669b970e4826968e0e244360961a31fb"},"schema_version":"1.0"},"canonical_sha256":"67cb31b609244067068be0ddc28d6f7f244987cb137afb6dcffcae3893bee5a1","source":{"kind":"arxiv","id":"0908.1258","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.1258","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.1258v1","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.1258","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"pith_short_12","alias_value":"M7FTDNQJERAG","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"pith_short_16","alias_value":"M7FTDNQJERAGOBUL","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"pith_short_8","alias_value":"M7FTDNQJ","created_at":"2026-07-04T15:47:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:M7FTDNQJERAGOBUL4DO4FDLPP4","target":"record","payload":{"canonical_record":{"source":{"id":"0908.1258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2009-08-09T22:35:14Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"4f81870064bd8ce8dc007eb33c1ce855c00a87d21bf791a1c5c5c8566265e22d","abstract_canon_sha256":"991f6e77402ceab4f4de2b6fc01258d0669b970e4826968e0e244360961a31fb"},"schema_version":"1.0"},"canonical_sha256":"67cb31b609244067068be0ddc28d6f7f244987cb137afb6dcffcae3893bee5a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:47:37.384963Z","signature_b64":"oj1sjoEu7neHZEGU8lR+9Z1PQX45S1GeFTh4x8WaCjairr2UYfv+cGi0cZVtTNUiyroYC9KdycHsM8aVSoKmAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67cb31b609244067068be0ddc28d6f7f244987cb137afb6dcffcae3893bee5a1","last_reissued_at":"2026-07-04T15:47:37.384617Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:47:37.384617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.1258","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":"2026-07-04T15:47:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2JXday2e2nOY4mf190UJYlPaTQ43YLoBlIXmPuCNvk3ihAyCnfsiAm7EQC3D/WJcF1lvj4cVMMqVxGkvudnFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T21:25:04.324499Z"},"content_sha256":"c14e1dc431530743d23ac24d117a64dadd3dff860a9a0a488452a275ef47e617","schema_version":"1.0","event_id":"sha256:c14e1dc431530743d23ac24d117a64dadd3dff860a9a0a488452a275ef47e617"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:M7FTDNQJERAGOBUL4DO4FDLPP4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Temporal Models of Social Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"stat.ML","authors_text":"Eric Xing, Steve Hanneke, Wenjie Fu","submitted_at":"2009-08-09T22:35:14Z","abstract_excerpt":"We propose a family of statistical models for social network evolution over time, which represents an extension of Exponential Random Graph Models (ERGMs). Many of the methods for ERGMs are readily adapted for these models, including maximum likelihood estimation algorithms. We discuss models of this type and their properties, and give examples, as well as a demonstration of their use for hypothesis testing and classification. We believe our temporal ERG models represent a useful new framework for modeling time-evolving social networks, and rewiring networks from other domains such as gene reg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.1258","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/0908.1258/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":"2026-07-04T15:47:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rKUTxsE7wx5ryXCLJypH19Vss+KQSC84qXG+jLlJuvYoZ11VNGWLRzFgoJ+OeLVPGOmKXfwlGWQ57lBvFUv0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T21:25:04.324866Z"},"content_sha256":"464e31cf4d00f741d9736579074b9c1ebfe9db5790aa49d04615239211d1fd5f","schema_version":"1.0","event_id":"sha256:464e31cf4d00f741d9736579074b9c1ebfe9db5790aa49d04615239211d1fd5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M7FTDNQJERAGOBUL4DO4FDLPP4/bundle.json","state_url":"https://pith.science/pith/M7FTDNQJERAGOBUL4DO4FDLPP4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M7FTDNQJERAGOBUL4DO4FDLPP4/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":"2026-08-22T21:25:04Z","links":{"resolver":"https://pith.science/pith/M7FTDNQJERAGOBUL4DO4FDLPP4","bundle":"https://pith.science/pith/M7FTDNQJERAGOBUL4DO4FDLPP4/bundle.json","state":"https://pith.science/pith/M7FTDNQJERAGOBUL4DO4FDLPP4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M7FTDNQJERAGOBUL4DO4FDLPP4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:M7FTDNQJERAGOBUL4DO4FDLPP4","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":"991f6e77402ceab4f4de2b6fc01258d0669b970e4826968e0e244360961a31fb","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2009-08-09T22:35:14Z","title_canon_sha256":"4f81870064bd8ce8dc007eb33c1ce855c00a87d21bf791a1c5c5c8566265e22d"},"schema_version":"1.0","source":{"id":"0908.1258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.1258","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"arxiv_version","alias_value":"0908.1258v1","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.1258","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"pith_short_12","alias_value":"M7FTDNQJERAG","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"pith_short_16","alias_value":"M7FTDNQJERAGOBUL","created_at":"2026-07-04T15:47:37Z"},{"alias_kind":"pith_short_8","alias_value":"M7FTDNQJ","created_at":"2026-07-04T15:47:37Z"}],"graph_snapshots":[{"event_id":"sha256:464e31cf4d00f741d9736579074b9c1ebfe9db5790aa49d04615239211d1fd5f","target":"graph","created_at":"2026-07-04T15:47:37Z","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/0908.1258/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a family of statistical models for social network evolution over time, which represents an extension of Exponential Random Graph Models (ERGMs). Many of the methods for ERGMs are readily adapted for these models, including maximum likelihood estimation algorithms. We discuss models of this type and their properties, and give examples, as well as a demonstration of their use for hypothesis testing and classification. We believe our temporal ERG models represent a useful new framework for modeling time-evolving social networks, and rewiring networks from other domains such as gene reg","authors_text":"Eric Xing, Steve Hanneke, Wenjie Fu","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2009-08-09T22:35:14Z","title":"Discrete Temporal Models of Social Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.1258","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:c14e1dc431530743d23ac24d117a64dadd3dff860a9a0a488452a275ef47e617","target":"record","created_at":"2026-07-04T15:47:37Z","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":"991f6e77402ceab4f4de2b6fc01258d0669b970e4826968e0e244360961a31fb","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2009-08-09T22:35:14Z","title_canon_sha256":"4f81870064bd8ce8dc007eb33c1ce855c00a87d21bf791a1c5c5c8566265e22d"},"schema_version":"1.0","source":{"id":"0908.1258","kind":"arxiv","version":1}},"canonical_sha256":"67cb31b609244067068be0ddc28d6f7f244987cb137afb6dcffcae3893bee5a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67cb31b609244067068be0ddc28d6f7f244987cb137afb6dcffcae3893bee5a1","first_computed_at":"2026-07-04T15:47:37.384617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:47:37.384617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oj1sjoEu7neHZEGU8lR+9Z1PQX45S1GeFTh4x8WaCjairr2UYfv+cGi0cZVtTNUiyroYC9KdycHsM8aVSoKmAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:47:37.384963Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.1258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c14e1dc431530743d23ac24d117a64dadd3dff860a9a0a488452a275ef47e617","sha256:464e31cf4d00f741d9736579074b9c1ebfe9db5790aa49d04615239211d1fd5f"],"state_sha256":"d1a56a587575ae274bddf78bc36a563fe41b367c85d3ea681912706d1760b60c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QATZsI5XN/aEellcfeC+7Xg3WBSLW2kAuErQvgQ9YkWr/tZ+axY+m0jxlNGZSTOkH42JqmPzBbZ6vta8dVuzDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T21:25:04.327393Z","bundle_sha256":"d65c71be4b31ed5a927c0340fe3b353591ca075a3a9591e34acbf26cba397898"}}