{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BLHSRWCDK3V3RP7TWOUZQLWCM4","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":"de6821843139e3e14e74bc258fa64577a480cdf2c53e53588032000abcea0bf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-09-11T00:27:48Z","title_canon_sha256":"0f015f8334c5ed14f366ba0dbe3231086c02a8f8c872a96365248e8df4153e6b"},"schema_version":"1.0","source":{"id":"1809.06211","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06211","created_at":"2026-05-18T00:05:13Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06211v3","created_at":"2026-05-18T00:05:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06211","created_at":"2026-05-18T00:05:13Z"},{"alias_kind":"pith_short_12","alias_value":"BLHSRWCDK3V3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BLHSRWCDK3V3RP7T","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BLHSRWCD","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:378f024f490910f6d6e46623886e03b2404789bf602004d1cfddf7db211698d9","target":"graph","created_at":"2026-05-18T00:05:13Z","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":"Deep neural networks have become the main work horse for many tasks involving learning from data in a variety of applications in Science and Engineering. Traditionally, the input to these networks lie in a vector space and the operations employed within the network are well defined on vector-spaces. In the recent past, due to technological advances in sensing, it has become possible to acquire manifold-valued data sets either directly or indirectly. Examples include but are not limited to data from omnidirectional cameras on automobiles, drones etc., synthetic aperture radar imaging, diffusion","authors_text":"Baba C. Vemuri, Jonathan Manton, Jose Bouza, Rudrasis Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-09-11T00:27:48Z","title":"ManifoldNet: A Deep Network Framework for Manifold-valued Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06211","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":"sha256:4e710eddcece16172b4547089dce6db987661263cc0717b6f21370f5cf7f21d3","target":"record","created_at":"2026-05-18T00:05:13Z","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":"de6821843139e3e14e74bc258fa64577a480cdf2c53e53588032000abcea0bf6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-09-11T00:27:48Z","title_canon_sha256":"0f015f8334c5ed14f366ba0dbe3231086c02a8f8c872a96365248e8df4153e6b"},"schema_version":"1.0","source":{"id":"1809.06211","kind":"arxiv","version":3}},"canonical_sha256":"0acf28d84356ebb8bff3b3a9982ec26703eceb8b3c85705edbb77b6a9fb0a51a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0acf28d84356ebb8bff3b3a9982ec26703eceb8b3c85705edbb77b6a9fb0a51a","first_computed_at":"2026-05-18T00:05:13.446450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:13.446450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kuVNe7pT+xaPhQlFomkgNp72h6XuBXt/oN2eC/idy4wzJg1gocJdF3YYB7seBTLKYBm4RbC6Pm/FydMxA1jcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:13.446983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.06211","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e710eddcece16172b4547089dce6db987661263cc0717b6f21370f5cf7f21d3","sha256:378f024f490910f6d6e46623886e03b2404789bf602004d1cfddf7db211698d9"],"state_sha256":"1305290262326e606d298642266a2322cadd86ed62a80c9cd762fd5d102127e2"}