{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:2GJXPQXLGBBRGEPRQGHCAJNW3C","short_pith_number":"pith:2GJXPQXL","canonical_record":{"source":{"id":"2205.04019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-05-09T03:46:48Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"f09d62f7b3d9b0e381dcca4820cb371045ae78db37a2468b589fad0a388faca5","abstract_canon_sha256":"da03a25d312212215329c48cf5d36411ef1ecfe62df3a8d1672d6697a02573e0"},"schema_version":"1.0"},"canonical_sha256":"d19377c2eb30431311f1818e2025b6d8b23e1dff0045cb8840ff61f2026cb605","source":{"kind":"arxiv","id":"2205.04019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04019","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04019v1","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04019","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"2GJXPQXLGBBR","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"pith_short_16","alias_value":"2GJXPQXLGBBRGEPR","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"pith_short_8","alias_value":"2GJXPQXL","created_at":"2026-07-05T04:21:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:2GJXPQXLGBBRGEPRQGHCAJNW3C","target":"record","payload":{"canonical_record":{"source":{"id":"2205.04019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-05-09T03:46:48Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"f09d62f7b3d9b0e381dcca4820cb371045ae78db37a2468b589fad0a388faca5","abstract_canon_sha256":"da03a25d312212215329c48cf5d36411ef1ecfe62df3a8d1672d6697a02573e0"},"schema_version":"1.0"},"canonical_sha256":"d19377c2eb30431311f1818e2025b6d8b23e1dff0045cb8840ff61f2026cb605","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:21:20.515633Z","signature_b64":"51tQxPKZ4nRja+aIX1OIwsaKO/TjRnnf3x/tY89GlMvAaSj+qzoDRV4I4TwY49USkgaUX8pZdgFbG4Qn6XSQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d19377c2eb30431311f1818e2025b6d8b23e1dff0045cb8840ff61f2026cb605","last_reissued_at":"2026-07-05T04:21:20.515215Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:21:20.515215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.04019","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":"2026-07-05T04:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G7k3B1yG4fiyDESDNqjK1Liysb+kO2iMJPFDKjnwlDpFwrwYxGM9/WtK+5kPsRsqXrcBnKBfyyiF8E7jVt3BCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T09:12:07.738102Z"},"content_sha256":"9d9ada17bf9c84e967e8f15deaf4ecbe9055b7415ae98e0368d02e787c0d1614","schema_version":"1.0","event_id":"sha256:9d9ada17bf9c84e967e8f15deaf4ecbe9055b7415ae98e0368d02e787c0d1614"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:2GJXPQXLGBBRGEPRQGHCAJNW3C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wiener filters on graphs and distributed polynomial approximation algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"eess.SP","authors_text":"Cheng cheng, Cong Zheng, Qiyu Sun","submitted_at":"2022-05-09T03:46:48Z","abstract_excerpt":"In this paper, we consider Wiener filters to reconstruct deterministic and (wide-band) stationary graph signals from their observations corrupted by random noises, and we propose distributed algorithms to implement Wiener filters and inverse filters on networks in which agents are equipped with a data processing subsystem for limited data storage and computation power, and with a one-hop communication subsystem for direct data exchange only with their adjacent agents. The proposed distributed polynomial approximation algorithm is an exponential convergent quasi-Newton method based on Jacobi po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04019","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/2205.04019/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":"2026-07-05T04:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VfH/dYU0mzTDUWxjzaDpmAIIrXiaqzbZW/aM2KYomjEZq1acF3wF87M9d4hu4b7FzoBxiot6CopQab3vR7iEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T09:12:07.738500Z"},"content_sha256":"6bb354faea9663300227831386129f09e1846fa22aa524b75ee7c92fdaa3d53c","schema_version":"1.0","event_id":"sha256:6bb354faea9663300227831386129f09e1846fa22aa524b75ee7c92fdaa3d53c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C/bundle.json","state_url":"https://pith.science/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C/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":"2026-07-06T09:12:07Z","links":{"resolver":"https://pith.science/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C","bundle":"https://pith.science/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C/bundle.json","state":"https://pith.science/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2GJXPQXLGBBRGEPRQGHCAJNW3C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:2GJXPQXLGBBRGEPRQGHCAJNW3C","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":"da03a25d312212215329c48cf5d36411ef1ecfe62df3a8d1672d6697a02573e0","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-05-09T03:46:48Z","title_canon_sha256":"f09d62f7b3d9b0e381dcca4820cb371045ae78db37a2468b589fad0a388faca5"},"schema_version":"1.0","source":{"id":"2205.04019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04019","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04019v1","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04019","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"2GJXPQXLGBBR","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"pith_short_16","alias_value":"2GJXPQXLGBBRGEPR","created_at":"2026-07-05T04:21:20Z"},{"alias_kind":"pith_short_8","alias_value":"2GJXPQXL","created_at":"2026-07-05T04:21:20Z"}],"graph_snapshots":[{"event_id":"sha256:6bb354faea9663300227831386129f09e1846fa22aa524b75ee7c92fdaa3d53c","target":"graph","created_at":"2026-07-05T04:21:20Z","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/2205.04019/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider Wiener filters to reconstruct deterministic and (wide-band) stationary graph signals from their observations corrupted by random noises, and we propose distributed algorithms to implement Wiener filters and inverse filters on networks in which agents are equipped with a data processing subsystem for limited data storage and computation power, and with a one-hop communication subsystem for direct data exchange only with their adjacent agents. The proposed distributed polynomial approximation algorithm is an exponential convergent quasi-Newton method based on Jacobi po","authors_text":"Cheng cheng, Cong Zheng, Qiyu Sun","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-05-09T03:46:48Z","title":"Wiener filters on graphs and distributed polynomial approximation algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04019","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":"sha256:9d9ada17bf9c84e967e8f15deaf4ecbe9055b7415ae98e0368d02e787c0d1614","target":"record","created_at":"2026-07-05T04:21:20Z","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":"da03a25d312212215329c48cf5d36411ef1ecfe62df3a8d1672d6697a02573e0","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2022-05-09T03:46:48Z","title_canon_sha256":"f09d62f7b3d9b0e381dcca4820cb371045ae78db37a2468b589fad0a388faca5"},"schema_version":"1.0","source":{"id":"2205.04019","kind":"arxiv","version":1}},"canonical_sha256":"d19377c2eb30431311f1818e2025b6d8b23e1dff0045cb8840ff61f2026cb605","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d19377c2eb30431311f1818e2025b6d8b23e1dff0045cb8840ff61f2026cb605","first_computed_at":"2026-07-05T04:21:20.515215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:21:20.515215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"51tQxPKZ4nRja+aIX1OIwsaKO/TjRnnf3x/tY89GlMvAaSj+qzoDRV4I4TwY49USkgaUX8pZdgFbG4Qn6XSQCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:21:20.515633Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.04019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d9ada17bf9c84e967e8f15deaf4ecbe9055b7415ae98e0368d02e787c0d1614","sha256:6bb354faea9663300227831386129f09e1846fa22aa524b75ee7c92fdaa3d53c"],"state_sha256":"a95803f5e319a1d5bdd43fe8deaedc2ed4bce96fe5b4bddd92e4a909538b7c84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HiTYSpt1EN3NnT9GjvqVnG9pXSjt6isNqgKLVlv9RBQP1oCa/NiNHQ5Xzy+GqAA/0L5MU7iOM2l5l9JeigfcCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T09:12:07.740565Z","bundle_sha256":"2f8995b9179d4cb9d4c719e9dfeb06305aa189a94408faaaafa77a2348a375fb"}}