{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VXWG5DTKH7QN7URMFNPFCDYAGF","short_pith_number":"pith:VXWG5DTK","canonical_record":{"source":{"id":"1911.01059","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-11-04T07:36:36Z","cross_cats_sorted":[],"title_canon_sha256":"04cbd9d4105e576ce8860083c02df4c72eaf226cd36dbaa37d1950a74f5d8f51","abstract_canon_sha256":"f0579027957a4fb8dacff60da4c184f2914abb6e54b8bfd4d1060d816feb13db"},"schema_version":"1.0"},"canonical_sha256":"adec6e8e6a3fe0dfd22c2b5e510f00317382b4949d0469402061cc085e0dd9db","source":{"kind":"arxiv","id":"1911.01059","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.01059","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"arxiv_version","alias_value":"1911.01059v4","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.01059","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"pith_short_12","alias_value":"VXWG5DTKH7QN","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"pith_short_16","alias_value":"VXWG5DTKH7QN7URM","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"pith_short_8","alias_value":"VXWG5DTK","created_at":"2026-07-05T00:39:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VXWG5DTKH7QN7URMFNPFCDYAGF","target":"record","payload":{"canonical_record":{"source":{"id":"1911.01059","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-11-04T07:36:36Z","cross_cats_sorted":[],"title_canon_sha256":"04cbd9d4105e576ce8860083c02df4c72eaf226cd36dbaa37d1950a74f5d8f51","abstract_canon_sha256":"f0579027957a4fb8dacff60da4c184f2914abb6e54b8bfd4d1060d816feb13db"},"schema_version":"1.0"},"canonical_sha256":"adec6e8e6a3fe0dfd22c2b5e510f00317382b4949d0469402061cc085e0dd9db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:39:15.282747Z","signature_b64":"QYtS2DNK8Xt9GUQ6DQE2ziIBbTyzrLJWrbVd0NRsGU8R9Oq90YGMbhnFuKGScRzm447cYHNpk74IQ7S5rH7WBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adec6e8e6a3fe0dfd22c2b5e510f00317382b4949d0469402061cc085e0dd9db","last_reissued_at":"2026-07-05T00:39:15.281865Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:39:15.281865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.01059","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":"2026-07-05T00:39:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1yRc0OH08497gT7FEaFpgE6+mMl2SwgVvxToauvXUlnxq6B+2A9XzrfgFZr4NRP9vDl2eGAh2pC1Xg4EpyfyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:45:48.599359Z"},"content_sha256":"28d9d8984e3dbefbfd9bd4cbe40c794a1532f3c98003230fb7008383ba3cfb66","schema_version":"1.0","event_id":"sha256:28d9d8984e3dbefbfd9bd4cbe40c794a1532f3c98003230fb7008383ba3cfb66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VXWG5DTKH7QN7URMFNPFCDYAGF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Spectral Nonlocal Block for Neural Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Lei Zhu, Lidan Zhang, Ping Guo, Qi She","submitted_at":"2019-11-04T07:36:36Z","abstract_excerpt":"The nonlocal-based blocks are designed for capturing long-range spatial-temporal dependencies in computer vision tasks. Although having shown excellent performances, they lack the mechanism to encode the rich, structured information among elements in an image. In this paper, to theoretically analyze the property of these nonlocal-based blocks, we provide a unified approach to interpreting them, where we view them as a graph filter generated on a fully-connected graph. When the graph filter is approximated by Chebyshev polynomials, a generalized formulation can be derived for explaining the exi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.01059","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.01059/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":"2026-07-05T00:39:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b5kpU13L0pgZE+Dg4mXFu36n/fGgYvXM2aw43pFy0+eJk8KO3Z6mwc52GuN9vJvp9I3wfcB4paylIC/YW2rKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:45:48.599709Z"},"content_sha256":"c0028decf359af7b3b88c862495a8b67a031769bbffd63d4b57ce08ade01ca38","schema_version":"1.0","event_id":"sha256:c0028decf359af7b3b88c862495a8b67a031769bbffd63d4b57ce08ade01ca38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXWG5DTKH7QN7URMFNPFCDYAGF/bundle.json","state_url":"https://pith.science/pith/VXWG5DTKH7QN7URMFNPFCDYAGF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXWG5DTKH7QN7URMFNPFCDYAGF/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":"2026-08-21T18:45:48Z","links":{"resolver":"https://pith.science/pith/VXWG5DTKH7QN7URMFNPFCDYAGF","bundle":"https://pith.science/pith/VXWG5DTKH7QN7URMFNPFCDYAGF/bundle.json","state":"https://pith.science/pith/VXWG5DTKH7QN7URMFNPFCDYAGF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXWG5DTKH7QN7URMFNPFCDYAGF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VXWG5DTKH7QN7URMFNPFCDYAGF","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":"f0579027957a4fb8dacff60da4c184f2914abb6e54b8bfd4d1060d816feb13db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-11-04T07:36:36Z","title_canon_sha256":"04cbd9d4105e576ce8860083c02df4c72eaf226cd36dbaa37d1950a74f5d8f51"},"schema_version":"1.0","source":{"id":"1911.01059","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.01059","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"arxiv_version","alias_value":"1911.01059v4","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.01059","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"pith_short_12","alias_value":"VXWG5DTKH7QN","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"pith_short_16","alias_value":"VXWG5DTKH7QN7URM","created_at":"2026-07-05T00:39:15Z"},{"alias_kind":"pith_short_8","alias_value":"VXWG5DTK","created_at":"2026-07-05T00:39:15Z"}],"graph_snapshots":[{"event_id":"sha256:c0028decf359af7b3b88c862495a8b67a031769bbffd63d4b57ce08ade01ca38","target":"graph","created_at":"2026-07-05T00:39:15Z","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/1911.01059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The nonlocal-based blocks are designed for capturing long-range spatial-temporal dependencies in computer vision tasks. Although having shown excellent performances, they lack the mechanism to encode the rich, structured information among elements in an image. In this paper, to theoretically analyze the property of these nonlocal-based blocks, we provide a unified approach to interpreting them, where we view them as a graph filter generated on a fully-connected graph. When the graph filter is approximated by Chebyshev polynomials, a generalized formulation can be derived for explaining the exi","authors_text":"Lei Zhu, Lidan Zhang, Ping Guo, Qi She","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-11-04T07:36:36Z","title":"A Spectral Nonlocal Block for Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.01059","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":"sha256:28d9d8984e3dbefbfd9bd4cbe40c794a1532f3c98003230fb7008383ba3cfb66","target":"record","created_at":"2026-07-05T00:39:15Z","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":"f0579027957a4fb8dacff60da4c184f2914abb6e54b8bfd4d1060d816feb13db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-11-04T07:36:36Z","title_canon_sha256":"04cbd9d4105e576ce8860083c02df4c72eaf226cd36dbaa37d1950a74f5d8f51"},"schema_version":"1.0","source":{"id":"1911.01059","kind":"arxiv","version":4}},"canonical_sha256":"adec6e8e6a3fe0dfd22c2b5e510f00317382b4949d0469402061cc085e0dd9db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adec6e8e6a3fe0dfd22c2b5e510f00317382b4949d0469402061cc085e0dd9db","first_computed_at":"2026-07-05T00:39:15.281865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:39:15.281865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QYtS2DNK8Xt9GUQ6DQE2ziIBbTyzrLJWrbVd0NRsGU8R9Oq90YGMbhnFuKGScRzm447cYHNpk74IQ7S5rH7WBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:39:15.282747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.01059","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28d9d8984e3dbefbfd9bd4cbe40c794a1532f3c98003230fb7008383ba3cfb66","sha256:c0028decf359af7b3b88c862495a8b67a031769bbffd63d4b57ce08ade01ca38"],"state_sha256":"3c14307a6413dfc5d651201f826f815cd6f15828fffe17759e9b2079f2234086"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KkN2vgxTQCDV/mOwE7cjiB7lSY8I+K30wzzP2Fu4yL4y+KCWYPm+gQDa0qbQc3iLEd3jofPqax0+PXeqvYOPBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T18:45:48.603534Z","bundle_sha256":"364e2e37d18f44b940faea5c82dfe4d2f179ef5a8826ae385ebbf78082144913"}}