{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6KASX4F25Z2DTKHEQ5NQRGMLMF","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":"92822eb08f2234db6e92a73a6611b4326103face0bd62ac6c00f4186b0f20405","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-16T17:43:38Z","title_canon_sha256":"aea6f8d4c577643269918b052fe6587217c2f6f4d795db6d1a540770e1e8e0bf"},"schema_version":"1.0","source":{"id":"1704.04799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04799","created_at":"2026-05-18T00:46:17Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04799v1","created_at":"2026-05-18T00:46:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04799","created_at":"2026-05-18T00:46:17Z"},{"alias_kind":"pith_short_12","alias_value":"6KASX4F25Z2D","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6KASX4F25Z2DTKHE","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6KASX4F2","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:28a4147f01803951889372d2696b17526b0f7415bdcd09ed4bf4e87526fd523d","target":"graph","created_at":"2026-05-18T00:46:17Z","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":"It has been shown recently that graph signals with small total variation can be accurately recovered from only few samples if the sampling set satisfies a certain condition, referred to as the network nullspace property. Based on this recovery condition, we propose a sampling strategy for smooth graph signals based on random walks. Numerical experiments demonstrate the effectiveness of this approach for graph signals obtained from a synthetic random graph model as well as a real-world dataset.","authors_text":"Alexander Jung, Saeed Basirian","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-16T17:43:38Z","title":"Random Walk Sampling for Big Data over Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04799","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:a31099d122466952fdefe979a27f0a1181056e6f100fcf5d7715e37f9b82ec37","target":"record","created_at":"2026-05-18T00:46:17Z","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":"92822eb08f2234db6e92a73a6611b4326103face0bd62ac6c00f4186b0f20405","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-04-16T17:43:38Z","title_canon_sha256":"aea6f8d4c577643269918b052fe6587217c2f6f4d795db6d1a540770e1e8e0bf"},"schema_version":"1.0","source":{"id":"1704.04799","kind":"arxiv","version":1}},"canonical_sha256":"f2812bf0baee7439a8e4875b08998b616dcd4a95e10d9b0f849d39d477e42605","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2812bf0baee7439a8e4875b08998b616dcd4a95e10d9b0f849d39d477e42605","first_computed_at":"2026-05-18T00:46:17.701115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:17.701115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pshR45ETdJdlWUoMzPM5NuxONqVAH7BQ/DEz+IWt+q6fuQ9RyVuLNGKUwxLDt5J2uoRjaLTkWmSSmWtuMmVdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:17.701533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a31099d122466952fdefe979a27f0a1181056e6f100fcf5d7715e37f9b82ec37","sha256:28a4147f01803951889372d2696b17526b0f7415bdcd09ed4bf4e87526fd523d"],"state_sha256":"1252646a3959b1c7103de38cac5b4788b5160fcb1f8758be97bbb46c6834ceb1"}