{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:TEH6IAXUMMTNMZR5MMJL65MSWB","short_pith_number":"pith:TEH6IAXU","canonical_record":{"source":{"id":"2102.02828","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CV","submitted_at":"2021-02-04T19:00:01Z","cross_cats_sorted":["astro-ph.IM","cs.LG","eess.IV"],"title_canon_sha256":"87b1f4ab3d8e6133628b8b5171a6eebc028c87098759d5c551727bfbba77cc0d","abstract_canon_sha256":"30fe3c23ee2c293236978c51a7d365b8cf084d313ceb9831f5f1d5dbad932ef3"},"schema_version":"1.0"},"canonical_sha256":"990fe402f46326d6663d6312bf7592b07c3996acace1cc87a827e0be2aa367db","source":{"kind":"arxiv","id":"2102.02828","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.02828","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"2102.02828v4","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.02828","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"TEH6IAXUMMTN","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"pith_short_16","alias_value":"TEH6IAXUMMTNMZR5","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"pith_short_8","alias_value":"TEH6IAXU","created_at":"2026-07-05T03:50:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:TEH6IAXUMMTNMZR5MMJL65MSWB","target":"record","payload":{"canonical_record":{"source":{"id":"2102.02828","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CV","submitted_at":"2021-02-04T19:00:01Z","cross_cats_sorted":["astro-ph.IM","cs.LG","eess.IV"],"title_canon_sha256":"87b1f4ab3d8e6133628b8b5171a6eebc028c87098759d5c551727bfbba77cc0d","abstract_canon_sha256":"30fe3c23ee2c293236978c51a7d365b8cf084d313ceb9831f5f1d5dbad932ef3"},"schema_version":"1.0"},"canonical_sha256":"990fe402f46326d6663d6312bf7592b07c3996acace1cc87a827e0be2aa367db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:50:47.505783Z","signature_b64":"4D3nnVeC9LBQJArCcD7/D7xH8EISYsAjaWwKASFmzpN3xOQE4hkB7eQBu4dXHhNWvHytW8LKD9D6uuEev4VNCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"990fe402f46326d6663d6312bf7592b07c3996acace1cc87a827e0be2aa367db","last_reissued_at":"2026-07-05T03:50:47.505306Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:50:47.505306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.02828","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":"2026-07-05T03:50:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jrp9JIwUZkOfCBsqT+Cr/amvE96m1Hi3io4K9Mra/sDfTY+mvrKw8SSLpIGbCCi7E5sF+A1aUaZio3nuaNyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:32:36.866524Z"},"content_sha256":"25663841c175702778533322a3133c61a6a2119098a5ee9c6a6004ba1935397a","schema_version":"1.0","event_id":"sha256:25663841c175702778533322a3133c61a6a2119098a5ee9c6a6004ba1935397a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:TEH6IAXUMMTNMZR5MMJL65MSWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering Networks on the Sphere for Scalable and Rotationally Equivariant Spherical CNNs","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["astro-ph.IM","cs.LG","eess.IV"],"primary_cat":"cs.CV","authors_text":"Augustine N. Mavor-Parker, Christopher G. R. Wallis, Jason D. McEwen","submitted_at":"2021-02-04T19:00:01Z","abstract_excerpt":"Convolutional neural networks (CNNs) constructed natively on the sphere have been developed recently and shown to be highly effective for the analysis of spherical data. While an efficient framework has been formulated, spherical CNNs are nevertheless highly computationally demanding; typically they cannot scale beyond spherical signals of thousands of pixels. We develop scattering networks constructed natively on the sphere that provide a powerful representational space for spherical data. Spherical scattering networks are computationally scalable and exhibit rotational equivariance, while th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.02828","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2102.02828/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":"2026-07-05T03:50:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8uCFtP7KUSiPxZmmXDxtYAzfXx6B/oSzC6rHkhjWJtbG24qi9PDu6ckYmJFG8I0Y0iY1RHlu17/gnW4jK4MZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:32:36.867038Z"},"content_sha256":"9acbabe93f39cbf3ef673f6f01d6f2f76eda4dcd648ee8ddd470b21fc3f5d6b5","schema_version":"1.0","event_id":"sha256:9acbabe93f39cbf3ef673f6f01d6f2f76eda4dcd648ee8ddd470b21fc3f5d6b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TEH6IAXUMMTNMZR5MMJL65MSWB/bundle.json","state_url":"https://pith.science/pith/TEH6IAXUMMTNMZR5MMJL65MSWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TEH6IAXUMMTNMZR5MMJL65MSWB/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":"2026-08-07T11:32:36Z","links":{"resolver":"https://pith.science/pith/TEH6IAXUMMTNMZR5MMJL65MSWB","bundle":"https://pith.science/pith/TEH6IAXUMMTNMZR5MMJL65MSWB/bundle.json","state":"https://pith.science/pith/TEH6IAXUMMTNMZR5MMJL65MSWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TEH6IAXUMMTNMZR5MMJL65MSWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:TEH6IAXUMMTNMZR5MMJL65MSWB","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":"30fe3c23ee2c293236978c51a7d365b8cf084d313ceb9831f5f1d5dbad932ef3","cross_cats_sorted":["astro-ph.IM","cs.LG","eess.IV"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CV","submitted_at":"2021-02-04T19:00:01Z","title_canon_sha256":"87b1f4ab3d8e6133628b8b5171a6eebc028c87098759d5c551727bfbba77cc0d"},"schema_version":"1.0","source":{"id":"2102.02828","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.02828","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"2102.02828v4","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.02828","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"TEH6IAXUMMTN","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"pith_short_16","alias_value":"TEH6IAXUMMTNMZR5","created_at":"2026-07-05T03:50:47Z"},{"alias_kind":"pith_short_8","alias_value":"TEH6IAXU","created_at":"2026-07-05T03:50:47Z"}],"graph_snapshots":[{"event_id":"sha256:9acbabe93f39cbf3ef673f6f01d6f2f76eda4dcd648ee8ddd470b21fc3f5d6b5","target":"graph","created_at":"2026-07-05T03:50:47Z","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/2102.02828/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Convolutional neural networks (CNNs) constructed natively on the sphere have been developed recently and shown to be highly effective for the analysis of spherical data. While an efficient framework has been formulated, spherical CNNs are nevertheless highly computationally demanding; typically they cannot scale beyond spherical signals of thousands of pixels. We develop scattering networks constructed natively on the sphere that provide a powerful representational space for spherical data. Spherical scattering networks are computationally scalable and exhibit rotational equivariance, while th","authors_text":"Augustine N. Mavor-Parker, Christopher G. R. Wallis, Jason D. McEwen","cross_cats":["astro-ph.IM","cs.LG","eess.IV"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CV","submitted_at":"2021-02-04T19:00:01Z","title":"Scattering Networks on the Sphere for Scalable and Rotationally Equivariant Spherical CNNs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.02828","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":"sha256:25663841c175702778533322a3133c61a6a2119098a5ee9c6a6004ba1935397a","target":"record","created_at":"2026-07-05T03:50:47Z","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":"30fe3c23ee2c293236978c51a7d365b8cf084d313ceb9831f5f1d5dbad932ef3","cross_cats_sorted":["astro-ph.IM","cs.LG","eess.IV"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CV","submitted_at":"2021-02-04T19:00:01Z","title_canon_sha256":"87b1f4ab3d8e6133628b8b5171a6eebc028c87098759d5c551727bfbba77cc0d"},"schema_version":"1.0","source":{"id":"2102.02828","kind":"arxiv","version":4}},"canonical_sha256":"990fe402f46326d6663d6312bf7592b07c3996acace1cc87a827e0be2aa367db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"990fe402f46326d6663d6312bf7592b07c3996acace1cc87a827e0be2aa367db","first_computed_at":"2026-07-05T03:50:47.505306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:50:47.505306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4D3nnVeC9LBQJArCcD7/D7xH8EISYsAjaWwKASFmzpN3xOQE4hkB7eQBu4dXHhNWvHytW8LKD9D6uuEev4VNCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:50:47.505783Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.02828","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25663841c175702778533322a3133c61a6a2119098a5ee9c6a6004ba1935397a","sha256:9acbabe93f39cbf3ef673f6f01d6f2f76eda4dcd648ee8ddd470b21fc3f5d6b5"],"state_sha256":"0d42e4a77bb0edb74ff2d871323d3e1e336c840ebdd39820f34cb58ae34ccf22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MCPlvxbVnc+MgbzvCGcdUmUFp16LevnlXQCXpQtZF5laVDNlmwwEmCV3lpHJCXW7yM1iPFuhb9l0RWsPFvAUAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T11:32:36.871006Z","bundle_sha256":"0d52ff6aa44cd87e07f05ee08b5e872024cdbf0b9e06f0f61391958ec6794cd2"}}