{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:K3GYR64HS5KYFIL2MU4XB4LIY2","short_pith_number":"pith:K3GYR64H","canonical_record":{"source":{"id":"1806.00681","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-06-02T18:23:48Z","cross_cats_sorted":["cs.CV","stat.ML"],"title_canon_sha256":"f334e36b9c88a467f67710488418a7cc5335c6a8c946bee275b30e6612a445b7","abstract_canon_sha256":"c6e5e046590373a286dba48d2978c60c61b95556afdd6721135557142c807ef9"},"schema_version":"1.0"},"canonical_sha256":"56cd88fb87975582a17a653970f168c6bcd07f4a0fbb3e40809287fae378f997","source":{"kind":"arxiv","id":"1806.00681","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00681","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00681v4","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00681","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"K3GYR64HS5KY","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"K3GYR64HS5KYFIL2","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"K3GYR64H","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:K3GYR64HS5KYFIL2MU4XB4LIY2","target":"record","payload":{"canonical_record":{"source":{"id":"1806.00681","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-06-02T18:23:48Z","cross_cats_sorted":["cs.CV","stat.ML"],"title_canon_sha256":"f334e36b9c88a467f67710488418a7cc5335c6a8c946bee275b30e6612a445b7","abstract_canon_sha256":"c6e5e046590373a286dba48d2978c60c61b95556afdd6721135557142c807ef9"},"schema_version":"1.0"},"canonical_sha256":"56cd88fb87975582a17a653970f168c6bcd07f4a0fbb3e40809287fae378f997","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:34.412122Z","signature_b64":"KVFQAkfkYUBwMYHPRwDaCUPOeTFY7dv/cRXEHpalWHi5LIwCDXyLTCSijQtlJ4BYR5AQlE40fv5mTileDhU7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56cd88fb87975582a17a653970f168c6bcd07f4a0fbb3e40809287fae378f997","last_reissued_at":"2026-05-17T23:55:34.411635Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:34.411635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.00681","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:55:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D7TKkqK9hfe9ZqElRRXmWyimf+N7TniFFTMHNNJbMseNtxoehCldYqbecvYo1cf62iSuHHSYMMsWQ23ly9QdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:33:52.775952Z"},"content_sha256":"3e72a7ecbee51434a1d62b0d7369ff90fb41963427d37a19d80f6815c6029415","schema_version":"1.0","event_id":"sha256:3e72a7ecbee51434a1d62b0d7369ff90fb41963427d37a19d80f6815c6029415"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:K3GYR64HS5KYFIL2MU4XB4LIY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","stat.ML"],"primary_cat":"cs.LG","authors_text":"Qiang Du, Qi Sun, Wei Liu, Yunzhe Tao","submitted_at":"2018-06-02T18:23:48Z","abstract_excerpt":"Nonlocal neural networks have been proposed and shown to be effective in several computer vision tasks, where the nonlocal operations can directly capture long-range dependencies in the feature space. In this paper, we study the nature of diffusion and damping effect of nonlocal networks by doing spectrum analysis on the weight matrices of the well-trained networks, and then propose a new formulation of the nonlocal block. The new block not only learns the nonlocal interactions but also has stable dynamics, thus allowing deeper nonlocal structures. Moreover, we interpret our formulation from t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00681","kind":"arxiv","version":4},"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":"2026-05-17T23:55:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jQ6Z6XQQqKog9q/UXqCOXcmXVYdTEixg6OYEDBFKFHXyL64oL2t3D3durQg2WbpMoa3xVE3znVhXztrjQ4krBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:33:52.776298Z"},"content_sha256":"a1a4c50dd10288b29db42daad04e63b33b97810ee761ec6a718330f27ec83c6e","schema_version":"1.0","event_id":"sha256:a1a4c50dd10288b29db42daad04e63b33b97810ee761ec6a718330f27ec83c6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K3GYR64HS5KYFIL2MU4XB4LIY2/bundle.json","state_url":"https://pith.science/pith/K3GYR64HS5KYFIL2MU4XB4LIY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K3GYR64HS5KYFIL2MU4XB4LIY2/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":"2026-06-08T22:33:52Z","links":{"resolver":"https://pith.science/pith/K3GYR64HS5KYFIL2MU4XB4LIY2","bundle":"https://pith.science/pith/K3GYR64HS5KYFIL2MU4XB4LIY2/bundle.json","state":"https://pith.science/pith/K3GYR64HS5KYFIL2MU4XB4LIY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K3GYR64HS5KYFIL2MU4XB4LIY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:K3GYR64HS5KYFIL2MU4XB4LIY2","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":"c6e5e046590373a286dba48d2978c60c61b95556afdd6721135557142c807ef9","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-06-02T18:23:48Z","title_canon_sha256":"f334e36b9c88a467f67710488418a7cc5335c6a8c946bee275b30e6612a445b7"},"schema_version":"1.0","source":{"id":"1806.00681","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00681","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00681v4","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00681","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"K3GYR64HS5KY","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"K3GYR64HS5KYFIL2","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"K3GYR64H","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:a1a4c50dd10288b29db42daad04e63b33b97810ee761ec6a718330f27ec83c6e","target":"graph","created_at":"2026-05-17T23:55:34Z","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":"Nonlocal neural networks have been proposed and shown to be effective in several computer vision tasks, where the nonlocal operations can directly capture long-range dependencies in the feature space. In this paper, we study the nature of diffusion and damping effect of nonlocal networks by doing spectrum analysis on the weight matrices of the well-trained networks, and then propose a new formulation of the nonlocal block. The new block not only learns the nonlocal interactions but also has stable dynamics, thus allowing deeper nonlocal structures. Moreover, we interpret our formulation from t","authors_text":"Qiang Du, Qi Sun, Wei Liu, Yunzhe Tao","cross_cats":["cs.CV","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-06-02T18:23:48Z","title":"Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00681","kind":"arxiv","version":4},"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":"sha256:3e72a7ecbee51434a1d62b0d7369ff90fb41963427d37a19d80f6815c6029415","target":"record","created_at":"2026-05-17T23:55:34Z","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":"c6e5e046590373a286dba48d2978c60c61b95556afdd6721135557142c807ef9","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-06-02T18:23:48Z","title_canon_sha256":"f334e36b9c88a467f67710488418a7cc5335c6a8c946bee275b30e6612a445b7"},"schema_version":"1.0","source":{"id":"1806.00681","kind":"arxiv","version":4}},"canonical_sha256":"56cd88fb87975582a17a653970f168c6bcd07f4a0fbb3e40809287fae378f997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56cd88fb87975582a17a653970f168c6bcd07f4a0fbb3e40809287fae378f997","first_computed_at":"2026-05-17T23:55:34.411635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:34.411635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KVFQAkfkYUBwMYHPRwDaCUPOeTFY7dv/cRXEHpalWHi5LIwCDXyLTCSijQtlJ4BYR5AQlE40fv5mTileDhU7BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:34.412122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00681","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e72a7ecbee51434a1d62b0d7369ff90fb41963427d37a19d80f6815c6029415","sha256:a1a4c50dd10288b29db42daad04e63b33b97810ee761ec6a718330f27ec83c6e"],"state_sha256":"ec132190d1741aa8e8579fcaf26f6e56398ae984202640539d87de9dcb2753d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XG+CChqy6aNqdn+lYRElAd5U30M9HSNJP/Ngg1eObEwJ2zkbaM2LvdTU/ApT2gtc8hw5d4DsEENJ0x8PQEPGAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:33:52.778194Z","bundle_sha256":"2c947e0c3c27afe4e4e3b587671d97ef34fafecd9fa283efe5b6cfd142dd393f"}}