{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KMO45SIBFYVIXGKWZOLPME5EFL","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":"4284dd2d0634644a8d9e5296d0720f11c8b29d950f5428cdb54b8ec840942f3d","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T19:43:57Z","title_canon_sha256":"e8e2f84fed7d5bf697ccd2db60e1d897d609e08d8742338e05bb8626f887f4b9"},"schema_version":"1.0","source":{"id":"1707.04616","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04616","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04616v2","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04616","created_at":"2026-05-18T00:17:01Z"},{"alias_kind":"pith_short_12","alias_value":"KMO45SIBFYVI","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KMO45SIBFYVIXGKW","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KMO45SIB","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:226959a7092b3582625c23d6bd5455e50b3c014c69807238a1ab0ac907f0f16b","target":"graph","created_at":"2026-05-18T00:17:01Z","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":"We propose a new method for performing multiscale analysis of functions defined on the vertices of a finite connected weighted graph. Our approach relies on a random spanning forest to downsample the set of vertices, and on approximate solutions of Markov intertwining relation to provide a subgraph structure and a filter bank leading to a wavelet basis of the set of functions. Our construction involves two parameters q and q'. The first one controls the mean number of kept vertices in the downsampling, while the second one is a tuning parameter between space localization and frequency localiza","authors_text":"Alexandre Gaudilli\\`ere, Clothilde M\\'elot, Fabienne Castell, Luca Avena","cross_cats":["math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T19:43:57Z","title":"Intertwining wavelets or Multiresolution analysis on graphs through random forests"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04616","kind":"arxiv","version":2},"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":"sha256:15cc2e900c0a16af08a58ca2fe8a7e93d1fbc0cb6c1de880168063873ad16594","target":"record","created_at":"2026-05-18T00:17:01Z","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":"4284dd2d0634644a8d9e5296d0720f11c8b29d950f5428cdb54b8ec840942f3d","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T19:43:57Z","title_canon_sha256":"e8e2f84fed7d5bf697ccd2db60e1d897d609e08d8742338e05bb8626f887f4b9"},"schema_version":"1.0","source":{"id":"1707.04616","kind":"arxiv","version":2}},"canonical_sha256":"531dcec9012e2a8b9956cb96f613a42acfbc8687121734a12213edf729de0b22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"531dcec9012e2a8b9956cb96f613a42acfbc8687121734a12213edf729de0b22","first_computed_at":"2026-05-18T00:17:01.773220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:01.773220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tEC+pU1tJ7cqUSQtc92pMIM/u75+3t5TDM61Gh9jHJjPFjfud2l4RKTFmnOoJHPDJ6jiTYIbeGumAPHS7luSCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:01.773793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04616","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15cc2e900c0a16af08a58ca2fe8a7e93d1fbc0cb6c1de880168063873ad16594","sha256:226959a7092b3582625c23d6bd5455e50b3c014c69807238a1ab0ac907f0f16b"],"state_sha256":"b44c2cf8bdc7ad333e15a0aff9bc791bce9e023623fa721e10d2a0b448a74a9f"}