{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SXCO764TTG3HSQJSNSAEE4THIH","short_pith_number":"pith:SXCO764T","canonical_record":{"source":{"id":"1210.3711","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-10-13T14:46:02Z","cross_cats_sorted":[],"title_canon_sha256":"a61dc7642289e60d03b9e106370fd3b1e4f40d9852294fb2081c0e7aa391bbe0","abstract_canon_sha256":"201932c2692c18b3e9b252c72c67880c9bc516037186990e2edf563ea3a9a48d"},"schema_version":"1.0"},"canonical_sha256":"95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7","source":{"kind":"arxiv","id":"1210.3711","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3711","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3711v3","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3711","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"pith_short_12","alias_value":"SXCO764TTG3H","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SXCO764TTG3HSQJS","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SXCO764T","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SXCO764TTG3HSQJSNSAEE4THIH","target":"record","payload":{"canonical_record":{"source":{"id":"1210.3711","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-10-13T14:46:02Z","cross_cats_sorted":[],"title_canon_sha256":"a61dc7642289e60d03b9e106370fd3b1e4f40d9852294fb2081c0e7aa391bbe0","abstract_canon_sha256":"201932c2692c18b3e9b252c72c67880c9bc516037186990e2edf563ea3a9a48d"},"schema_version":"1.0"},"canonical_sha256":"95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:09.556681Z","signature_b64":"ByGNKZ0Z9/2aevdvTzQPwJs/5HaPSp2CZFhJHgWJr1wOi3B7SE8hLqtZmVgCELhxvO6LZyRYyWiT9rSW1O8CDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7","last_reissued_at":"2026-05-18T03:11:09.555824Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:09.555824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.3711","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:11:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rmOY+FoZ4R6thJBErZQTXGbgf9V+DfHc9E2Z6tI6ub2vWU7xPIridNVkr1L2yz8kiHWQOCUCtu3Z+gyolwd+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:41:06.093598Z"},"content_sha256":"408aec1a15e6d31cbb90df25a5675af6202c80939723ab7096466356e01d7d7a","schema_version":"1.0","event_id":"sha256:408aec1a15e6d31cbb90df25a5675af6202c80939723ab7096466356e01d7d7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SXCO764TTG3HSQJSNSAEE4THIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Network Granger Causality with Inherent Grouping Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Ali Shojaie, George Michailidis, Sumanta Basu","submitted_at":"2012-10-13T14:46:02Z","abstract_excerpt":"The problem of estimating high-dimensional network models arises naturally in the analysis of many physical, biological and socio-economic systems. Examples include stock price fluctuations in financial markets and gene regulatory networks representing effects of regulators (transcription factors) on regulated genes in genetics. We aim to learn the structure of the network over time employing the framework of Granger causal models under the assumptions of sparsity of its edges and inherent grouping structure among its nodes. We introduce a thresholded variant of the Group Lasso estimator for d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3711","kind":"arxiv","version":3},"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":"2026-05-18T03:11:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qwyQk4M2LGO0PWqJn9ozio79J/fMNivuLjkyZoaxhIDIyOzf4TyvTW83HpAEIoHEeLYyf3WYTpwuZn8N25jvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:41:06.094283Z"},"content_sha256":"1897cbc89fb3a8a086141f9a64d65ad0af0e9f73acb36730d6d509f4fc8997e6","schema_version":"1.0","event_id":"sha256:1897cbc89fb3a8a086141f9a64d65ad0af0e9f73acb36730d6d509f4fc8997e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SXCO764TTG3HSQJSNSAEE4THIH/bundle.json","state_url":"https://pith.science/pith/SXCO764TTG3HSQJSNSAEE4THIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SXCO764TTG3HSQJSNSAEE4THIH/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":"2026-05-26T20:41:06Z","links":{"resolver":"https://pith.science/pith/SXCO764TTG3HSQJSNSAEE4THIH","bundle":"https://pith.science/pith/SXCO764TTG3HSQJSNSAEE4THIH/bundle.json","state":"https://pith.science/pith/SXCO764TTG3HSQJSNSAEE4THIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SXCO764TTG3HSQJSNSAEE4THIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SXCO764TTG3HSQJSNSAEE4THIH","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":"201932c2692c18b3e9b252c72c67880c9bc516037186990e2edf563ea3a9a48d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-10-13T14:46:02Z","title_canon_sha256":"a61dc7642289e60d03b9e106370fd3b1e4f40d9852294fb2081c0e7aa391bbe0"},"schema_version":"1.0","source":{"id":"1210.3711","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3711","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3711v3","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3711","created_at":"2026-05-18T03:11:09Z"},{"alias_kind":"pith_short_12","alias_value":"SXCO764TTG3H","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SXCO764TTG3HSQJS","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SXCO764T","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:1897cbc89fb3a8a086141f9a64d65ad0af0e9f73acb36730d6d509f4fc8997e6","target":"graph","created_at":"2026-05-18T03:11:09Z","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":"The problem of estimating high-dimensional network models arises naturally in the analysis of many physical, biological and socio-economic systems. Examples include stock price fluctuations in financial markets and gene regulatory networks representing effects of regulators (transcription factors) on regulated genes in genetics. We aim to learn the structure of the network over time employing the framework of Granger causal models under the assumptions of sparsity of its edges and inherent grouping structure among its nodes. We introduce a thresholded variant of the Group Lasso estimator for d","authors_text":"Ali Shojaie, George Michailidis, Sumanta Basu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-10-13T14:46:02Z","title":"Network Granger Causality with Inherent Grouping Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3711","kind":"arxiv","version":3},"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":"sha256:408aec1a15e6d31cbb90df25a5675af6202c80939723ab7096466356e01d7d7a","target":"record","created_at":"2026-05-18T03:11:09Z","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":"201932c2692c18b3e9b252c72c67880c9bc516037186990e2edf563ea3a9a48d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-10-13T14:46:02Z","title_canon_sha256":"a61dc7642289e60d03b9e106370fd3b1e4f40d9852294fb2081c0e7aa391bbe0"},"schema_version":"1.0","source":{"id":"1210.3711","kind":"arxiv","version":3}},"canonical_sha256":"95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95c4effb9399b67941326c8042726741c50301b88edc4ba00baaf0508059c0d7","first_computed_at":"2026-05-18T03:11:09.555824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:09.555824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ByGNKZ0Z9/2aevdvTzQPwJs/5HaPSp2CZFhJHgWJr1wOi3B7SE8hLqtZmVgCELhxvO6LZyRYyWiT9rSW1O8CDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:09.556681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.3711","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:408aec1a15e6d31cbb90df25a5675af6202c80939723ab7096466356e01d7d7a","sha256:1897cbc89fb3a8a086141f9a64d65ad0af0e9f73acb36730d6d509f4fc8997e6"],"state_sha256":"ff56a031560a5b31aa4b4d2fa7309929e3034c185998f5e6fe5e9fb29c125c16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KkvflX9D5BoiB+Gn5fOGAT30H+4xUlhPh/2f6/pHxmFqgOLxJAs5PaJtwauzcgx5S1xH8fluesAgaVU4dRfhBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:41:06.097798Z","bundle_sha256":"1f84a3eebf33ff3e31301ab61c6dc862acd30befae5b93a9992eb93e996c26c3"}}