{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AHT7KNLUD764QLKEPOLAXC4ECR","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":"6aae58a66691474d63cd55d63349254decb99827bfe75c589ddc53427af7708f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2025-04-19T16:18:16Z","title_canon_sha256":"34cb3c0e33d54a50aa0fa46cc111c0727f675230413476a7eb378a6a0432b96c"},"schema_version":"1.0","source":{"id":"2504.14341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14341","created_at":"2026-07-05T10:51:42Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14341v1","created_at":"2026-07-05T10:51:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14341","created_at":"2026-07-05T10:51:42Z"},{"alias_kind":"pith_short_12","alias_value":"AHT7KNLUD764","created_at":"2026-07-05T10:51:42Z"},{"alias_kind":"pith_short_16","alias_value":"AHT7KNLUD764QLKE","created_at":"2026-07-05T10:51:42Z"},{"alias_kind":"pith_short_8","alias_value":"AHT7KNLU","created_at":"2026-07-05T10:51:42Z"}],"graph_snapshots":[{"event_id":"sha256:2c19bb4d6c36a0a9341d329b335e04b49e1c8a0a88509886cc29e10b1d1d426a","target":"graph","created_at":"2026-07-05T10:51:42Z","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/2504.14341/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Chebyshev interpolation polynomials exhibit the exponential approximation property to analytic functions on a cube. Based on the Chebyshev interpolation polynomial approximation, we propose\n  iterative polynomial approximation algorithms to implement the inverse filter with a polynomial graph filter of commutative graph shifts in a distributed manner. The proposed algorithms exhibit exponential convergence properties, and they can be implemented on distributed networks in which agents are equipped with a data processing subsystem for limited data storage and computation power, and with a one-h","authors_text":"Cheng cheng, Cong Zheng, Qiyu Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2025-04-19T16:18:16Z","title":"Iterative Polynomial Approximation Algorithms for Inverse Graph Filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14341","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":"sha256:2673817243a1fdcec1136e9ef6d82fb9436f4b9dcfa2b8bffae485fa923dab6a","target":"record","created_at":"2026-07-05T10:51:42Z","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":"6aae58a66691474d63cd55d63349254decb99827bfe75c589ddc53427af7708f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2025-04-19T16:18:16Z","title_canon_sha256":"34cb3c0e33d54a50aa0fa46cc111c0727f675230413476a7eb378a6a0432b96c"},"schema_version":"1.0","source":{"id":"2504.14341","kind":"arxiv","version":1}},"canonical_sha256":"01e7f535741ffdc82d447b960b8b84146c09c17276d05c922febc9df64474b41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01e7f535741ffdc82d447b960b8b84146c09c17276d05c922febc9df64474b41","first_computed_at":"2026-07-05T10:51:42.089367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:51:42.089367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WBG/KPda0tf8lbTh2qEG3Eg5bNHdwSVjC71X+7O6q8fOMs7pLcN8vkaGtkRHWplYS3qZ4+B7qq1JvsS9N2wtBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:51:42.089858Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.14341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2673817243a1fdcec1136e9ef6d82fb9436f4b9dcfa2b8bffae485fa923dab6a","sha256:2c19bb4d6c36a0a9341d329b335e04b49e1c8a0a88509886cc29e10b1d1d426a"],"state_sha256":"39d850b2479edf1901479b717a70d93eafe116b8a8f0e6d1215de2a44fd579de"}