{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4Q3ZDJRKX4HN425UZFQIDA7FZM","short_pith_number":"pith:4Q3ZDJRK","canonical_record":{"source":{"id":"1510.02700","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-10-09T15:13:32Z","cross_cats_sorted":[],"title_canon_sha256":"1f3e24e4b39cacb4d2117c66e74a6355b09375a85b828c9e8e5390c6d3394bee","abstract_canon_sha256":"17d8689c4f1efeecd078dc9b4bae94d06342d683907fe1c63eaad40e773d1657"},"schema_version":"1.0"},"canonical_sha256":"e43791a62abf0ede6bb4c9608183e5cb1d495c42d3897550cd27a12a2268cd7d","source":{"kind":"arxiv","id":"1510.02700","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02700","created_at":"2026-05-18T01:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02700v3","created_at":"2026-05-18T01:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02700","created_at":"2026-05-18T01:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"4Q3ZDJRKX4HN","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4Q3ZDJRKX4HN425U","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4Q3ZDJRK","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4Q3ZDJRKX4HN425UZFQIDA7FZM","target":"record","payload":{"canonical_record":{"source":{"id":"1510.02700","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-10-09T15:13:32Z","cross_cats_sorted":[],"title_canon_sha256":"1f3e24e4b39cacb4d2117c66e74a6355b09375a85b828c9e8e5390c6d3394bee","abstract_canon_sha256":"17d8689c4f1efeecd078dc9b4bae94d06342d683907fe1c63eaad40e773d1657"},"schema_version":"1.0"},"canonical_sha256":"e43791a62abf0ede6bb4c9608183e5cb1d495c42d3897550cd27a12a2268cd7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:00.755573Z","signature_b64":"OjCYC4mMTJrBeKXPAB/F7Xwp4a3Zi2CCwiFxgobQwDqemGoBwGJoy6UR+tHdW37lL+5Ic06B57C5MgpuUpZBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e43791a62abf0ede6bb4c9608183e5cb1d495c42d3897550cd27a12a2268cd7d","last_reissued_at":"2026-05-18T01:22:00.755071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:00.755071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.02700","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9q3Yc5hWL11bflEDcXa5Aeur4zAMIa1gKiwiydTRzkPDcUACU6h3sT3XA2jlOjaNB0d93Hfpbg7XuKFNX81eDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:31:22.321862Z"},"content_sha256":"3b2ad5d0c47ae3186bc7f46d86bf2fc83667afca8571e916356a2e92fdb7761c","schema_version":"1.0","event_id":"sha256:3b2ad5d0c47ae3186bc7f46d86bf2fc83667afca8571e916356a2e92fdb7761c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4Q3ZDJRKX4HN425UZFQIDA7FZM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A short-graph Fourier transform via personalized PageRank vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SI","authors_text":"Guillermo Sapiro, Mariano Tepper","submitted_at":"2015-10-09T15:13:32Z","abstract_excerpt":"The short-time Fourier transform (STFT) is widely used to analyze the spectra of temporal signals that vary through time. Signals defined over graphs, due to their intrinsic complexity, exhibit large variations in their patterns. In this work we propose a new formulation for an STFT for signals defined over graphs. This formulation draws on recent ideas from spectral graph theory, using personalized PageRank vectors as its fundamental building block. Furthermore, this work establishes and explores the connection between local spectral graph theory and localized spectral analysis of graph signa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02700","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOdbgtlFCNZTKdGdmRemcft0+WwvmFZ7tgC6ku1A3fZghfs6baVFuL+SlORt+BRNajR/ZOCQ7Iz8boUcb0S2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:31:22.322534Z"},"content_sha256":"1e7afbb78f98f4d14575ef53c4867f9241d95841faaaaac9e02d4a2c2464f27d","schema_version":"1.0","event_id":"sha256:1e7afbb78f98f4d14575ef53c4867f9241d95841faaaaac9e02d4a2c2464f27d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM/bundle.json","state_url":"https://pith.science/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM/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":"2026-05-29T17:31:22Z","links":{"resolver":"https://pith.science/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM","bundle":"https://pith.science/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM/bundle.json","state":"https://pith.science/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Q3ZDJRKX4HN425UZFQIDA7FZM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4Q3ZDJRKX4HN425UZFQIDA7FZM","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":"17d8689c4f1efeecd078dc9b4bae94d06342d683907fe1c63eaad40e773d1657","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-10-09T15:13:32Z","title_canon_sha256":"1f3e24e4b39cacb4d2117c66e74a6355b09375a85b828c9e8e5390c6d3394bee"},"schema_version":"1.0","source":{"id":"1510.02700","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02700","created_at":"2026-05-18T01:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02700v3","created_at":"2026-05-18T01:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02700","created_at":"2026-05-18T01:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"4Q3ZDJRKX4HN","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4Q3ZDJRKX4HN425U","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4Q3ZDJRK","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:1e7afbb78f98f4d14575ef53c4867f9241d95841faaaaac9e02d4a2c2464f27d","target":"graph","created_at":"2026-05-18T01:22:00Z","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 short-time Fourier transform (STFT) is widely used to analyze the spectra of temporal signals that vary through time. Signals defined over graphs, due to their intrinsic complexity, exhibit large variations in their patterns. In this work we propose a new formulation for an STFT for signals defined over graphs. This formulation draws on recent ideas from spectral graph theory, using personalized PageRank vectors as its fundamental building block. Furthermore, this work establishes and explores the connection between local spectral graph theory and localized spectral analysis of graph signa","authors_text":"Guillermo Sapiro, Mariano Tepper","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-10-09T15:13:32Z","title":"A short-graph Fourier transform via personalized PageRank vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02700","kind":"arxiv","version":3},"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":"sha256:3b2ad5d0c47ae3186bc7f46d86bf2fc83667afca8571e916356a2e92fdb7761c","target":"record","created_at":"2026-05-18T01:22:00Z","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":"17d8689c4f1efeecd078dc9b4bae94d06342d683907fe1c63eaad40e773d1657","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-10-09T15:13:32Z","title_canon_sha256":"1f3e24e4b39cacb4d2117c66e74a6355b09375a85b828c9e8e5390c6d3394bee"},"schema_version":"1.0","source":{"id":"1510.02700","kind":"arxiv","version":3}},"canonical_sha256":"e43791a62abf0ede6bb4c9608183e5cb1d495c42d3897550cd27a12a2268cd7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e43791a62abf0ede6bb4c9608183e5cb1d495c42d3897550cd27a12a2268cd7d","first_computed_at":"2026-05-18T01:22:00.755071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:00.755071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OjCYC4mMTJrBeKXPAB/F7Xwp4a3Zi2CCwiFxgobQwDqemGoBwGJoy6UR+tHdW37lL+5Ic06B57C5MgpuUpZBCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:00.755573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02700","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b2ad5d0c47ae3186bc7f46d86bf2fc83667afca8571e916356a2e92fdb7761c","sha256:1e7afbb78f98f4d14575ef53c4867f9241d95841faaaaac9e02d4a2c2464f27d"],"state_sha256":"d144434f5fa3287e86250ffa30b2da0d8e0b7a71b37225d0a304bc408f68a827"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"svuiPCqZw6arht9kxu7G4XxPUPixNTB236cwNhaka9yr18KiSsWGdDjCxZpbbaG0axlrdcHjRg5FFILGni7/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:31:22.326260Z","bundle_sha256":"f3dae4499ad4d895c059f5a4e37a7ceeb2c2e789f071778aea9301aaf877f929"}}