{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:K23KAB2TR77JTN5DEMUXQIJGCM","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":"17a92f6aa88f40a5f6650016138e53ba21922861ebfe1946be3557af2bc704cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-17T16:04:28Z","title_canon_sha256":"9bcc4e236e9cbff332b0f6054db351f2e63aaa291794788afe57694d12a6c1cf"},"schema_version":"1.0","source":{"id":"1809.06298","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06298","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06298v1","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06298","created_at":"2026-05-17T23:45:36Z"},{"alias_kind":"pith_short_12","alias_value":"K23KAB2TR77J","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"K23KAB2TR77JTN5D","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"K23KAB2T","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:be3e4bec78e944bead2ddffac4029d5ed715782c4834066c744ad31f3c6f8359","target":"graph","created_at":"2026-05-17T23:45:36Z","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":"We present an anisotropic extension of the isotropic osmosis model that has been introduced by Weickert et al.~(Weickert, 2013) for visual computing applications, and we adapt it specifically to shadow removal applications. We show that in the integrable setting, linear anisotropic osmosis minimises an energy that involves a suitable quadratic form which models local directional structures. In our shadow removal applications we estimate the local structure via a modified tensor voting approach (Moreno, 2012) and use this information within an anisotropic diffusion inpainting that resembles edg","authors_text":"Carola-Bibiane Sch\\\"onlieb, Joachim Weickert, Luca Calatroni, Marco Caliari, Simone Parisotto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-17T16:04:28Z","title":"Anisotropic osmosis filtering for shadow removal in images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06298","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":"sha256:8ddc2123b728fbcfe93a267749910b7f503c227cf9404c638b2becc703b6b3bc","target":"record","created_at":"2026-05-17T23:45:36Z","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":"17a92f6aa88f40a5f6650016138e53ba21922861ebfe1946be3557af2bc704cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-17T16:04:28Z","title_canon_sha256":"9bcc4e236e9cbff332b0f6054db351f2e63aaa291794788afe57694d12a6c1cf"},"schema_version":"1.0","source":{"id":"1809.06298","kind":"arxiv","version":1}},"canonical_sha256":"56b6a007538ffe99b7a323297821261328b43ca4b1ee0a1c6e8f992877ecaeec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56b6a007538ffe99b7a323297821261328b43ca4b1ee0a1c6e8f992877ecaeec","first_computed_at":"2026-05-17T23:45:36.621743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:36.621743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RSeEjA2Rt/s82QQNv2AU1qil8hejQqX4ljtj3cNBRD+GNLm45XNVtaMRo8S0nFMZXxlysq1J+ao0DI2YMCa6Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:36.622493Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.06298","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ddc2123b728fbcfe93a267749910b7f503c227cf9404c638b2becc703b6b3bc","sha256:be3e4bec78e944bead2ddffac4029d5ed715782c4834066c744ad31f3c6f8359"],"state_sha256":"daa7dc32f90ea344b16003a1c7324bde90a6536c120d5c236f5a98b2fddc7372"}