{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:Z7WB2ECRWISJZS7PY2WD5A5J76","short_pith_number":"pith:Z7WB2ECR","canonical_record":{"source":{"id":"2010.12859","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-24T10:27:24Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"bffaedc158fa9aa55c2058358ee361c2684d6c8c2a2d8038ec8c9979ca0fb100","abstract_canon_sha256":"d9d82fb9d93532fac4028457d3adaa00615b509216bfd812be8815c4f18583a5"},"schema_version":"1.0"},"canonical_sha256":"cfec1d1051b2249ccbefc6ac3e83a9ff809f03ef778501dfdd98e624c12ec89d","source":{"kind":"arxiv","id":"2010.12859","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.12859","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"2010.12859v2","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.12859","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"Z7WB2ECRWISJ","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_16","alias_value":"Z7WB2ECRWISJZS7P","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_8","alias_value":"Z7WB2ECR","created_at":"2026-07-05T02:24:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:Z7WB2ECRWISJZS7PY2WD5A5J76","target":"record","payload":{"canonical_record":{"source":{"id":"2010.12859","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-24T10:27:24Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"bffaedc158fa9aa55c2058358ee361c2684d6c8c2a2d8038ec8c9979ca0fb100","abstract_canon_sha256":"d9d82fb9d93532fac4028457d3adaa00615b509216bfd812be8815c4f18583a5"},"schema_version":"1.0"},"canonical_sha256":"cfec1d1051b2249ccbefc6ac3e83a9ff809f03ef778501dfdd98e624c12ec89d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:24:24.604406Z","signature_b64":"2CsINcZu6SopW9sp9LMGPgklF8ORf2XqdW1eFZz9VUDwquycJESyVqW0ZqYpJAxh+TRzmgzm+sqxJhhTzHwfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfec1d1051b2249ccbefc6ac3e83a9ff809f03ef778501dfdd98e624c12ec89d","last_reissued_at":"2026-07-05T02:24:24.603973Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:24:24.603973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.12859","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:24:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h9jL0V0naZkorGATRTSYqbOip351cdwzKYGCuQLBBWnhqmjsgxnwb+vDUabf7tVqUtBDiILUGPMh4JrkxuU4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T09:28:07.867598Z"},"content_sha256":"0e1f164dbc176d21d023197679948ed836a8edb4c80315e325a26aa0458f9ec9","schema_version":"1.0","event_id":"sha256:0e1f164dbc176d21d023197679948ed836a8edb4c80315e325a26aa0458f9ec9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:Z7WB2ECRWISJZS7PY2WD5A5J76","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stable ResNet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Arnaud Doucet, Bobby He, Eugenio Clerico, George Deligiannidis, Judith Rousseau, Soufiane Hayou","submitted_at":"2020-10-24T10:27:24Z","abstract_excerpt":"Deep ResNet architectures have achieved state of the art performance on many tasks. While they solve the problem of gradient vanishing, they might suffer from gradient exploding as the depth becomes large (Yang et al. 2017). Moreover, recent results have shown that ResNet might lose expressivity as the depth goes to infinity (Yang et al. 2017, Hayou et al. 2019). To resolve these issues, we introduce a new class of ResNet architectures, called Stable ResNet, that have the property of stabilizing the gradient while ensuring expressivity in the infinite depth limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.12859","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.12859/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:24:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"stdUosfCkgg+Zp8s2oMZAPZHpdBguIr/cHrQnT6YSOcLFJnMLRoAFdBhTIkFqX0zpWkXjJAVpTCDcKgAxE5YDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T09:28:07.867976Z"},"content_sha256":"b388e9b7a8cccc9ebf945f9c17106d9ae698f5a31a15e6962c82abbf26ecfe06","schema_version":"1.0","event_id":"sha256:b388e9b7a8cccc9ebf945f9c17106d9ae698f5a31a15e6962c82abbf26ecfe06"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z7WB2ECRWISJZS7PY2WD5A5J76/bundle.json","state_url":"https://pith.science/pith/Z7WB2ECRWISJZS7PY2WD5A5J76/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z7WB2ECRWISJZS7PY2WD5A5J76/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":"2026-07-22T09:28:07Z","links":{"resolver":"https://pith.science/pith/Z7WB2ECRWISJZS7PY2WD5A5J76","bundle":"https://pith.science/pith/Z7WB2ECRWISJZS7PY2WD5A5J76/bundle.json","state":"https://pith.science/pith/Z7WB2ECRWISJZS7PY2WD5A5J76/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z7WB2ECRWISJZS7PY2WD5A5J76/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:Z7WB2ECRWISJZS7PY2WD5A5J76","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":"d9d82fb9d93532fac4028457d3adaa00615b509216bfd812be8815c4f18583a5","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-24T10:27:24Z","title_canon_sha256":"bffaedc158fa9aa55c2058358ee361c2684d6c8c2a2d8038ec8c9979ca0fb100"},"schema_version":"1.0","source":{"id":"2010.12859","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.12859","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"2010.12859v2","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.12859","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"Z7WB2ECRWISJ","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_16","alias_value":"Z7WB2ECRWISJZS7P","created_at":"2026-07-05T02:24:24Z"},{"alias_kind":"pith_short_8","alias_value":"Z7WB2ECR","created_at":"2026-07-05T02:24:24Z"}],"graph_snapshots":[{"event_id":"sha256:b388e9b7a8cccc9ebf945f9c17106d9ae698f5a31a15e6962c82abbf26ecfe06","target":"graph","created_at":"2026-07-05T02:24:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.12859/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Deep ResNet architectures have achieved state of the art performance on many tasks. While they solve the problem of gradient vanishing, they might suffer from gradient exploding as the depth becomes large (Yang et al. 2017). Moreover, recent results have shown that ResNet might lose expressivity as the depth goes to infinity (Yang et al. 2017, Hayou et al. 2019). To resolve these issues, we introduce a new class of ResNet architectures, called Stable ResNet, that have the property of stabilizing the gradient while ensuring expressivity in the infinite depth limit.","authors_text":"Arnaud Doucet, Bobby He, Eugenio Clerico, George Deligiannidis, Judith Rousseau, Soufiane Hayou","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-24T10:27:24Z","title":"Stable ResNet"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.12859","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":"sha256:0e1f164dbc176d21d023197679948ed836a8edb4c80315e325a26aa0458f9ec9","target":"record","created_at":"2026-07-05T02:24:24Z","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":"d9d82fb9d93532fac4028457d3adaa00615b509216bfd812be8815c4f18583a5","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-10-24T10:27:24Z","title_canon_sha256":"bffaedc158fa9aa55c2058358ee361c2684d6c8c2a2d8038ec8c9979ca0fb100"},"schema_version":"1.0","source":{"id":"2010.12859","kind":"arxiv","version":2}},"canonical_sha256":"cfec1d1051b2249ccbefc6ac3e83a9ff809f03ef778501dfdd98e624c12ec89d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfec1d1051b2249ccbefc6ac3e83a9ff809f03ef778501dfdd98e624c12ec89d","first_computed_at":"2026-07-05T02:24:24.603973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:24:24.603973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2CsINcZu6SopW9sp9LMGPgklF8ORf2XqdW1eFZz9VUDwquycJESyVqW0ZqYpJAxh+TRzmgzm+sqxJhhTzHwfDA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:24:24.604406Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.12859","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e1f164dbc176d21d023197679948ed836a8edb4c80315e325a26aa0458f9ec9","sha256:b388e9b7a8cccc9ebf945f9c17106d9ae698f5a31a15e6962c82abbf26ecfe06"],"state_sha256":"39b0dc0ea64e02bdfc8c0350701b138f2d5543bdb6e71cb390561c9ae8a6fa91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xrg75FGxJbRgjesIf+hHcic05smc2nxN+vn8JuH1xgDKKopTyzoMy3IaVc73VsmTxt37n4rYBjStfIZDdD+zCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T09:28:07.870410Z","bundle_sha256":"97989dc8bbe413734a7c0759457e0902f68bcb5f08f6533f09dba2ea97d90c32"}}