{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Q4DRD6LMI7QM4QPJJEWR23P432","short_pith_number":"pith:Q4DRD6LM","canonical_record":{"source":{"id":"1204.2296","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-04-10T22:30:16Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"7a7b8291f0b76640149577224a0c3bec5b46e04135787ee7c45c8f56add1a4df","abstract_canon_sha256":"3b19cd459b2e69cdc188468b9726315a3a95da22ed99c41e36a3c9981349a027"},"schema_version":"1.0"},"canonical_sha256":"870711f96c47e0ce41e9492d1d6dfcde96281b38f50e4ef92ac51b00d8f56013","source":{"kind":"arxiv","id":"1204.2296","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2296","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2296v2","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2296","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"Q4DRD6LMI7QM","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q4DRD6LMI7QM4QPJ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q4DRD6LM","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Q4DRD6LMI7QM4QPJJEWR23P432","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2296","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-04-10T22:30:16Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"7a7b8291f0b76640149577224a0c3bec5b46e04135787ee7c45c8f56add1a4df","abstract_canon_sha256":"3b19cd459b2e69cdc188468b9726315a3a95da22ed99c41e36a3c9981349a027"},"schema_version":"1.0"},"canonical_sha256":"870711f96c47e0ce41e9492d1d6dfcde96281b38f50e4ef92ac51b00d8f56013","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:53.417365Z","signature_b64":"J0RUl313GnOiNrsrD3wqgsZ2YgPOaJZTNJSJUPoWMJ0c/pJdDbYFxRJox/Ku5KYloEQvlvCi6l6R9XER7xhODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"870711f96c47e0ce41e9492d1d6dfcde96281b38f50e4ef92ac51b00d8f56013","last_reissued_at":"2026-05-18T02:29:53.416722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:53.416722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2296","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":"2026-05-18T02:29:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L94ml+UPCk7Z6Rr2uctgRAwF6tvp8kI/QrbvsK4o3WdA/VEkbh2bRezAyuaNVZawVUnUwgf8veYjN0DwbydSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:05:30.390163Z"},"content_sha256":"6ef3fb09c110739ac9e063a3a6b14a1a5c38b02cd0cda84e51dde661d19fe5a0","schema_version":"1.0","event_id":"sha256:6ef3fb09c110739ac9e063a3a6b14a1a5c38b02cd0cda84e51dde661d19fe5a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Q4DRD6LMI7QM4QPJJEWR23P432","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Co-clustering for directed graphs: the Stochastic co-Blockmodel and spectral algorithm Di-Sim","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ML","authors_text":"Bin Yu, Karl Rohe, Tai Qin","submitted_at":"2012-04-10T22:30:16Z","abstract_excerpt":"Directed graphs have asymmetric connections, yet the current graph clustering methodologies cannot identify the potentially global structure of these asymmetries. We give a spectral algorithm called di-sim that builds on a dual measure of similarity that correspond to how a node (i) sends and (ii) receives edges. Using di-sim, we analyze the global asymmetries in the networks of Enron emails, political blogs, and the c elegans neural connectome. In each example, a small subset of nodes have persistent asymmetries; these nodes send edges with one cluster, but receive edges with another cluster."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2296","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":"2026-05-18T02:29:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdUzhis5MC6VXJVqZqh7aPsEZTrREWLNCimRIJdmNjtwbteDFVufCA88bLVsawXdfB0cY/wuByB+nFPscFswAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:05:30.390881Z"},"content_sha256":"abd99e30e77e10f4ccef6912e1f093a85f60f1f1c3768c178599d057d495f9ad","schema_version":"1.0","event_id":"sha256:abd99e30e77e10f4ccef6912e1f093a85f60f1f1c3768c178599d057d495f9ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4DRD6LMI7QM4QPJJEWR23P432/bundle.json","state_url":"https://pith.science/pith/Q4DRD6LMI7QM4QPJJEWR23P432/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4DRD6LMI7QM4QPJJEWR23P432/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":"2026-05-30T20:05:30Z","links":{"resolver":"https://pith.science/pith/Q4DRD6LMI7QM4QPJJEWR23P432","bundle":"https://pith.science/pith/Q4DRD6LMI7QM4QPJJEWR23P432/bundle.json","state":"https://pith.science/pith/Q4DRD6LMI7QM4QPJJEWR23P432/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4DRD6LMI7QM4QPJJEWR23P432/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q4DRD6LMI7QM4QPJJEWR23P432","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":"3b19cd459b2e69cdc188468b9726315a3a95da22ed99c41e36a3c9981349a027","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-04-10T22:30:16Z","title_canon_sha256":"7a7b8291f0b76640149577224a0c3bec5b46e04135787ee7c45c8f56add1a4df"},"schema_version":"1.0","source":{"id":"1204.2296","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2296","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2296v2","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2296","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"Q4DRD6LMI7QM","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q4DRD6LMI7QM4QPJ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q4DRD6LM","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:abd99e30e77e10f4ccef6912e1f093a85f60f1f1c3768c178599d057d495f9ad","target":"graph","created_at":"2026-05-18T02:29:53Z","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":"Directed graphs have asymmetric connections, yet the current graph clustering methodologies cannot identify the potentially global structure of these asymmetries. We give a spectral algorithm called di-sim that builds on a dual measure of similarity that correspond to how a node (i) sends and (ii) receives edges. Using di-sim, we analyze the global asymmetries in the networks of Enron emails, political blogs, and the c elegans neural connectome. In each example, a small subset of nodes have persistent asymmetries; these nodes send edges with one cluster, but receive edges with another cluster.","authors_text":"Bin Yu, Karl Rohe, Tai Qin","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-04-10T22:30:16Z","title":"Co-clustering for directed graphs: the Stochastic co-Blockmodel and spectral algorithm Di-Sim"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2296","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":"sha256:6ef3fb09c110739ac9e063a3a6b14a1a5c38b02cd0cda84e51dde661d19fe5a0","target":"record","created_at":"2026-05-18T02:29:53Z","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":"3b19cd459b2e69cdc188468b9726315a3a95da22ed99c41e36a3c9981349a027","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-04-10T22:30:16Z","title_canon_sha256":"7a7b8291f0b76640149577224a0c3bec5b46e04135787ee7c45c8f56add1a4df"},"schema_version":"1.0","source":{"id":"1204.2296","kind":"arxiv","version":2}},"canonical_sha256":"870711f96c47e0ce41e9492d1d6dfcde96281b38f50e4ef92ac51b00d8f56013","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"870711f96c47e0ce41e9492d1d6dfcde96281b38f50e4ef92ac51b00d8f56013","first_computed_at":"2026-05-18T02:29:53.416722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:53.416722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J0RUl313GnOiNrsrD3wqgsZ2YgPOaJZTNJSJUPoWMJ0c/pJdDbYFxRJox/Ku5KYloEQvlvCi6l6R9XER7xhODg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:53.417365Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2296","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ef3fb09c110739ac9e063a3a6b14a1a5c38b02cd0cda84e51dde661d19fe5a0","sha256:abd99e30e77e10f4ccef6912e1f093a85f60f1f1c3768c178599d057d495f9ad"],"state_sha256":"e1debb6c339ee1413cb31f60e1b19c984b5233e91733026474dd35f4e2c514ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M2/zfe58dXgzMN62rUC/Xg9IEJZ0EluvbC3fqfqsLd/ebNAcCM4g76d47KLOx2jbuTF3ir9FdFLuuUKfkeDHDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:05:30.394750Z","bundle_sha256":"196418a733e58b2d20aa2cb2ba829c510e0d78be71e9aac8c98d5f4918765d08"}}