{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3PYER7DW4CJVLGYRSHRMTIAVVN","short_pith_number":"pith:3PYER7DW","canonical_record":{"source":{"id":"1906.04784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-11T19:42:36Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"5e576d351739b66c14393ce5d3d19e4c034f227c7374dcd1f830534aa2c60696","abstract_canon_sha256":"376498ec9af148a20fa1b98ba0d501a523bec8bb6be0fce22ec2af7576794700"},"schema_version":"1.0"},"canonical_sha256":"dbf048fc76e093559b1191e2c9a015ab6b900c821ca5b16ffea4bb5e6ce6457c","source":{"kind":"arxiv","id":"1906.04784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04784","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04784v1","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04784","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"3PYER7DW4CJV","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3PYER7DW4CJVLGYR","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3PYER7DW","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3PYER7DW4CJVLGYRSHRMTIAVVN","target":"record","payload":{"canonical_record":{"source":{"id":"1906.04784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-11T19:42:36Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"5e576d351739b66c14393ce5d3d19e4c034f227c7374dcd1f830534aa2c60696","abstract_canon_sha256":"376498ec9af148a20fa1b98ba0d501a523bec8bb6be0fce22ec2af7576794700"},"schema_version":"1.0"},"canonical_sha256":"dbf048fc76e093559b1191e2c9a015ab6b900c821ca5b16ffea4bb5e6ce6457c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:32.270521Z","signature_b64":"K71e1zuGPrEY0EdOIj1J2aZvBvYfNaqJMP9DNIPAE/MMLagId2i1wNhuXcB2RAzjqc+m0aNMBBxrxP3JcnthBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbf048fc76e093559b1191e2c9a015ab6b900c821ca5b16ffea4bb5e6ce6457c","last_reissued_at":"2026-05-17T23:43:32.270102Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:32.270102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.04784","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EZ6tRsW7nqhuo5Hdy2yd4ozL17cYZw+0fR5PgD/0JMoEPXFR/1iJvoyxcweyw7TUYnzBHEPi38K4MzG3G69FCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T16:44:58.258173Z"},"content_sha256":"32bf87a6ba020bf5c637715874986c3cb8f497f20db0c951ec89bba3b5439c7d","schema_version":"1.0","event_id":"sha256:32bf87a6ba020bf5c637715874986c3cb8f497f20db0c951ec89bba3b5439c7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3PYER7DW4CJVLGYRSHRMTIAVVN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Graph Scattering Transforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Alejandro Ribeiro, Fernando Gama, Joan Bruna","submitted_at":"2019-06-11T19:42:36Z","abstract_excerpt":"Scattering transforms are non-trainable deep convolutional architectures that exploit the multi-scale resolution of a wavelet filter bank to obtain an appropriate representation of data. More importantly, they are proven invariant to translations, and stable to perturbations that are close to translations. This stability property dons the scattering transform with a robustness to small changes in the metric domain of the data. When considering network data, regular convolutions do not hold since the data domain presents an irregular structure given by the network topology.\n  In this work, we e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04784","kind":"arxiv","version":1},"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":"2026-05-17T23:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gAUGTSHhwkayG+Q42PEbwVzNPrNdd2ecpMyBMNjPI+38jVudDi67dijnYogAM3TsucgdGqyXq8Y+lPgDgo9EBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T16:44:58.258528Z"},"content_sha256":"6bd3a4c0c8691015022516445a4a45a2ce9fedac118393b68ede6cb006513cd4","schema_version":"1.0","event_id":"sha256:6bd3a4c0c8691015022516445a4a45a2ce9fedac118393b68ede6cb006513cd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PYER7DW4CJVLGYRSHRMTIAVVN/bundle.json","state_url":"https://pith.science/pith/3PYER7DW4CJVLGYRSHRMTIAVVN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PYER7DW4CJVLGYRSHRMTIAVVN/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":"2026-06-29T16:44:58Z","links":{"resolver":"https://pith.science/pith/3PYER7DW4CJVLGYRSHRMTIAVVN","bundle":"https://pith.science/pith/3PYER7DW4CJVLGYRSHRMTIAVVN/bundle.json","state":"https://pith.science/pith/3PYER7DW4CJVLGYRSHRMTIAVVN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PYER7DW4CJVLGYRSHRMTIAVVN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3PYER7DW4CJVLGYRSHRMTIAVVN","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":"376498ec9af148a20fa1b98ba0d501a523bec8bb6be0fce22ec2af7576794700","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-11T19:42:36Z","title_canon_sha256":"5e576d351739b66c14393ce5d3d19e4c034f227c7374dcd1f830534aa2c60696"},"schema_version":"1.0","source":{"id":"1906.04784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04784","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04784v1","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04784","created_at":"2026-05-17T23:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"3PYER7DW4CJV","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3PYER7DW4CJVLGYR","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3PYER7DW","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:6bd3a4c0c8691015022516445a4a45a2ce9fedac118393b68ede6cb006513cd4","target":"graph","created_at":"2026-05-17T23:43:32Z","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":"Scattering transforms are non-trainable deep convolutional architectures that exploit the multi-scale resolution of a wavelet filter bank to obtain an appropriate representation of data. More importantly, they are proven invariant to translations, and stable to perturbations that are close to translations. This stability property dons the scattering transform with a robustness to small changes in the metric domain of the data. When considering network data, regular convolutions do not hold since the data domain presents an irregular structure given by the network topology.\n  In this work, we e","authors_text":"Alejandro Ribeiro, Fernando Gama, Joan Bruna","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-11T19:42:36Z","title":"Stability of Graph Scattering Transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04784","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":"sha256:32bf87a6ba020bf5c637715874986c3cb8f497f20db0c951ec89bba3b5439c7d","target":"record","created_at":"2026-05-17T23:43:32Z","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":"376498ec9af148a20fa1b98ba0d501a523bec8bb6be0fce22ec2af7576794700","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-11T19:42:36Z","title_canon_sha256":"5e576d351739b66c14393ce5d3d19e4c034f227c7374dcd1f830534aa2c60696"},"schema_version":"1.0","source":{"id":"1906.04784","kind":"arxiv","version":1}},"canonical_sha256":"dbf048fc76e093559b1191e2c9a015ab6b900c821ca5b16ffea4bb5e6ce6457c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbf048fc76e093559b1191e2c9a015ab6b900c821ca5b16ffea4bb5e6ce6457c","first_computed_at":"2026-05-17T23:43:32.270102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:32.270102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K71e1zuGPrEY0EdOIj1J2aZvBvYfNaqJMP9DNIPAE/MMLagId2i1wNhuXcB2RAzjqc+m0aNMBBxrxP3JcnthBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:32.270521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.04784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32bf87a6ba020bf5c637715874986c3cb8f497f20db0c951ec89bba3b5439c7d","sha256:6bd3a4c0c8691015022516445a4a45a2ce9fedac118393b68ede6cb006513cd4"],"state_sha256":"51f45fe9bfaccb0c66eee883120596c03705ce214edf6def5787ca3070452804"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HWpwSR+mNo0ezXRRrae3qoMM+RR6d6mIquCFxvThKzhF2Z4XSbj42Ojts5TRwnwam5dSwvwE/Mj7ZWGiR8o5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T16:44:58.260347Z","bundle_sha256":"1069ee72b86486f11cc41920f8d081780d7e4b6f5e924dacd653b51acf18e002"}}