{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BNIRDKOOHFLMTYTJJR7Z66ZWXE","short_pith_number":"pith:BNIRDKOO","canonical_record":{"source":{"id":"1605.02569","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-09T13:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"3ffab2afdf2da62e9e244e396e9d8c0355fb4a9c9429fcbefc0e6c94a51da9b8","abstract_canon_sha256":"df3f14f195b2f2531d2e2dfc0e8b322ae5a435921ea8630cf53904eeef455f7d"},"schema_version":"1.0"},"canonical_sha256":"0b5111a9ce3956c9e2694c7f9f7b36b90db9ab65ea842f868b2df71345d81bc6","source":{"kind":"arxiv","id":"1605.02569","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02569","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02569v4","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02569","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"BNIRDKOOHFLM","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BNIRDKOOHFLMTYTJ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BNIRDKOO","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BNIRDKOOHFLMTYTJJR7Z66ZWXE","target":"record","payload":{"canonical_record":{"source":{"id":"1605.02569","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-09T13:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"3ffab2afdf2da62e9e244e396e9d8c0355fb4a9c9429fcbefc0e6c94a51da9b8","abstract_canon_sha256":"df3f14f195b2f2531d2e2dfc0e8b322ae5a435921ea8630cf53904eeef455f7d"},"schema_version":"1.0"},"canonical_sha256":"0b5111a9ce3956c9e2694c7f9f7b36b90db9ab65ea842f868b2df71345d81bc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:02.841350Z","signature_b64":"2TQRm2x02adHneOdjupKDtn1s4MipzRwTOPjdxk0b6QoxphSO+zQFefsMC/8hf0GtzntFR6yXlJ7/YzcFKlzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b5111a9ce3956c9e2694c7f9f7b36b90db9ab65ea842f868b2df71345d81bc6","last_reissued_at":"2026-05-18T00:43:02.840655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:02.840655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.02569","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ZFUvGEdYEY0SErd2qc+9A3arZk0evXQLFYQWgcW6iYJhVCWFmH0y4A2H0B5d5P8lvLBFbKZQ8BsCy/gUejXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:10:51.376615Z"},"content_sha256":"9de783a35717cba0cc8db579e4490ba33dffe88a9242e9236b5e235bd1c8c4cc","schema_version":"1.0","event_id":"sha256:9de783a35717cba0cc8db579e4490ba33dffe88a9242e9236b5e235bd1c8c4cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BNIRDKOOHFLMTYTJJR7Z66ZWXE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterization and Inference of Graph Diffusion Processes from Observations of Stationary Signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Bastien Pasdeloup, Dominique Pastor, Gr\\'egoire Mercier, Michael G. Rabbat, Vincent Gripon","submitted_at":"2016-05-09T13:01:22Z","abstract_excerpt":"Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph signal processing tools cannot be used anymore. Researchers have proposed approaches to infer a graph topology from observations of signals on its nodes. Since the problem is ill-posed, these approaches make assumptions, such as smoothness of the signals on the graph, or sparsity priors. In this paper, we propose a characterization of the space of valid grap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02569","kind":"arxiv","version":4},"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":"2026-05-18T00:43:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Apna2NvSsePCWXCTphSAb8a9RNFBXqGybMgDAuALNGO+lAjHv27FaWfh/dAM6C5o8u3EhfnTPK4VpB/oiyLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:10:51.377286Z"},"content_sha256":"5a08fb443a6b681dae971d67a21d42aa9486085e840b3a7ae19c952829bdfce5","schema_version":"1.0","event_id":"sha256:5a08fb443a6b681dae971d67a21d42aa9486085e840b3a7ae19c952829bdfce5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE/bundle.json","state_url":"https://pith.science/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE/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":"2026-05-25T20:10:51Z","links":{"resolver":"https://pith.science/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE","bundle":"https://pith.science/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE/bundle.json","state":"https://pith.science/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BNIRDKOOHFLMTYTJJR7Z66ZWXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BNIRDKOOHFLMTYTJJR7Z66ZWXE","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":"df3f14f195b2f2531d2e2dfc0e8b322ae5a435921ea8630cf53904eeef455f7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-09T13:01:22Z","title_canon_sha256":"3ffab2afdf2da62e9e244e396e9d8c0355fb4a9c9429fcbefc0e6c94a51da9b8"},"schema_version":"1.0","source":{"id":"1605.02569","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02569","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02569v4","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02569","created_at":"2026-05-18T00:43:02Z"},{"alias_kind":"pith_short_12","alias_value":"BNIRDKOOHFLM","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BNIRDKOOHFLMTYTJ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BNIRDKOO","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:5a08fb443a6b681dae971d67a21d42aa9486085e840b3a7ae19c952829bdfce5","target":"graph","created_at":"2026-05-18T00:43:02Z","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":"Many tools from the field of graph signal processing exploit knowledge of the underlying graph's structure (e.g., as encoded in the Laplacian matrix) to process signals on the graph. Therefore, in the case when no graph is available, graph signal processing tools cannot be used anymore. Researchers have proposed approaches to infer a graph topology from observations of signals on its nodes. Since the problem is ill-posed, these approaches make assumptions, such as smoothness of the signals on the graph, or sparsity priors. In this paper, we propose a characterization of the space of valid grap","authors_text":"Bastien Pasdeloup, Dominique Pastor, Gr\\'egoire Mercier, Michael G. Rabbat, Vincent Gripon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-09T13:01:22Z","title":"Characterization and Inference of Graph Diffusion Processes from Observations of Stationary Signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02569","kind":"arxiv","version":4},"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":"sha256:9de783a35717cba0cc8db579e4490ba33dffe88a9242e9236b5e235bd1c8c4cc","target":"record","created_at":"2026-05-18T00:43:02Z","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":"df3f14f195b2f2531d2e2dfc0e8b322ae5a435921ea8630cf53904eeef455f7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-09T13:01:22Z","title_canon_sha256":"3ffab2afdf2da62e9e244e396e9d8c0355fb4a9c9429fcbefc0e6c94a51da9b8"},"schema_version":"1.0","source":{"id":"1605.02569","kind":"arxiv","version":4}},"canonical_sha256":"0b5111a9ce3956c9e2694c7f9f7b36b90db9ab65ea842f868b2df71345d81bc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b5111a9ce3956c9e2694c7f9f7b36b90db9ab65ea842f868b2df71345d81bc6","first_computed_at":"2026-05-18T00:43:02.840655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:02.840655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2TQRm2x02adHneOdjupKDtn1s4MipzRwTOPjdxk0b6QoxphSO+zQFefsMC/8hf0GtzntFR6yXlJ7/YzcFKlzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:02.841350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02569","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9de783a35717cba0cc8db579e4490ba33dffe88a9242e9236b5e235bd1c8c4cc","sha256:5a08fb443a6b681dae971d67a21d42aa9486085e840b3a7ae19c952829bdfce5"],"state_sha256":"aaf20a2171c5d7d8b7de6cb925130c601d9e29c001a21f7ebc648df61f98154d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"roI6VXEFKur3xOqZKmwVZrG1x6JzbfUCnYiryyJJ9WmZYHZT03QLd30iFZFJMJdaLe7ocJuWvN6sMPRtrEAMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:10:51.381000Z","bundle_sha256":"38bda2469801e905930dccd467dcd74323c20b583f01c15fbb9033cac17190c8"}}