{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WV5MWTUGQMHLDP7QXF7HH5OER5","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":"733d2b220361b9f83b04337e2516b596b3a6e40a141ad37d59559af52efdb29c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-07T01:56:07Z","title_canon_sha256":"77679fb48d3db54f5780d4a67f2cff382c76420254842f7ddf66fc6d02ed2dbc"},"schema_version":"1.0","source":{"id":"1504.01456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01456","created_at":"2026-05-18T02:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01456v1","created_at":"2026-05-18T02:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01456","created_at":"2026-05-18T02:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"WV5MWTUGQMHL","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WV5MWTUGQMHLDP7Q","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WV5MWTUG","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:e74c0281f99f12acd94358bf08f5da2b71a268d90fa2800a2a578e668d0f0648","target":"graph","created_at":"2026-05-18T02:19:27Z","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":"The emerging field of signal processing on graph plays a more and more important role in processing signals and information related to networks. Existing works have shown that under certain conditions a smooth graph signal can be uniquely reconstructed from its decimation, i.e., data associated with a subset of vertices. However, in some potential applications (e.g., sensor networks with clustering structure), the obtained data may be a combination of signals associated with several vertices, rather than the decimation. In this paper, we propose a new concept of local measurement, which is a g","authors_text":"Jiaxuan Chen, Xiaohan Wang, Yuantao Gu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-07T01:56:07Z","title":"Local Measurement and Reconstruction for Noisy Graph Signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01456","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":"sha256:9be44cb0fd470eef4a20f9f4b45ece12c2d6c404ffa54aee2a4ead8ece873d0b","target":"record","created_at":"2026-05-18T02:19:27Z","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":"733d2b220361b9f83b04337e2516b596b3a6e40a141ad37d59559af52efdb29c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-07T01:56:07Z","title_canon_sha256":"77679fb48d3db54f5780d4a67f2cff382c76420254842f7ddf66fc6d02ed2dbc"},"schema_version":"1.0","source":{"id":"1504.01456","kind":"arxiv","version":1}},"canonical_sha256":"b57acb4e86830eb1bff0b97e73f5c48f68839c35f52a4ee3f0f95091f32a4ac7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b57acb4e86830eb1bff0b97e73f5c48f68839c35f52a4ee3f0f95091f32a4ac7","first_computed_at":"2026-05-18T02:19:27.085803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:27.085803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pRoAuWLoowo0qUq7plhEa5oapR8tLcGYtfDAFJn+lJspOlWUxUn6RRd+fpPvqJiW+CRCm1naSHDtPMaeSwK3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:27.086412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9be44cb0fd470eef4a20f9f4b45ece12c2d6c404ffa54aee2a4ead8ece873d0b","sha256:e74c0281f99f12acd94358bf08f5da2b71a268d90fa2800a2a578e668d0f0648"],"state_sha256":"173e99d8eb0083e656044099edc7d2e10d478f6e485d661f09ada4b4788dec3f"}