{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SNEMKIM4WX65GEN7UVHLQO636T","short_pith_number":"pith:SNEMKIM4","canonical_record":{"source":{"id":"1605.02923","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-10T10:18:22Z","cross_cats_sorted":[],"title_canon_sha256":"eeb72ad582fe4c4be452958eeab8bcc7f2db55dbf0c89b8c3afba52277aba536","abstract_canon_sha256":"50208f6b55af493aa40ac7589ffa65f85572df1fdcd6bc93dcf063152ce3bde0"},"schema_version":"1.0"},"canonical_sha256":"9348c5219cb5fdd311bfa54eb83bdbf4d6e62d48b74431bea51d2247f533cc14","source":{"kind":"arxiv","id":"1605.02923","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02923","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02923v3","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02923","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"pith_short_12","alias_value":"SNEMKIM4WX65","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SNEMKIM4WX65GEN7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SNEMKIM4","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SNEMKIM4WX65GEN7UVHLQO636T","target":"record","payload":{"canonical_record":{"source":{"id":"1605.02923","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-10T10:18:22Z","cross_cats_sorted":[],"title_canon_sha256":"eeb72ad582fe4c4be452958eeab8bcc7f2db55dbf0c89b8c3afba52277aba536","abstract_canon_sha256":"50208f6b55af493aa40ac7589ffa65f85572df1fdcd6bc93dcf063152ce3bde0"},"schema_version":"1.0"},"canonical_sha256":"9348c5219cb5fdd311bfa54eb83bdbf4d6e62d48b74431bea51d2247f533cc14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:29.600174Z","signature_b64":"m5dD1DVyCLNpyHT3qvF0WzDAJoB1AwJKlfoQrk4Bbhxy3QS1I4eZ6ufdiuaA9s1qGp7Hz8IsbGFmNHc+Fp5VAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9348c5219cb5fdd311bfa54eb83bdbf4d6e62d48b74431bea51d2247f533cc14","last_reissued_at":"2026-05-18T00:50:29.599450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:29.599450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.02923","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:50:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uf4/Q784UIfLqzz+YawljTKj+Ok9nHVVcQPWvPUNLa0BTxonVGU5UjhgPhyXnk59Ra+c60t0bhEnaHll3934Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T21:56:57.712210Z"},"content_sha256":"408c9c845deda1298d945b685043fdde3db92571033b84b14a978f13d3d21c4e","schema_version":"1.0","event_id":"sha256:408c9c845deda1298d945b685043fdde3db92571033b84b14a978f13d3d21c4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SNEMKIM4WX65GEN7UVHLQO636T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cross-diffusion systems for image processing: I. The linear case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Araujo, A. Duran, E. Cuesta, S. Barbeiro","submitted_at":"2016-05-10T10:18:22Z","abstract_excerpt":"The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems satisfying the most important scale-space properties are identified. Then a numerical study on the effect of cross-diffusion in filtering problems is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02923","kind":"arxiv","version":3},"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":"2026-05-18T00:50:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JutYhmW3czCH75V9IodMutVkUWnwSwbrVOLrALU7fUC8rpSEum0QEhz/mJ2fOH+NpBHurenTuEvHnJr0kGwMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T21:56:57.712569Z"},"content_sha256":"1b8261e01d0edd9762798c05cf486c287e5891c37c53cf417f22952bb94ec659","schema_version":"1.0","event_id":"sha256:1b8261e01d0edd9762798c05cf486c287e5891c37c53cf417f22952bb94ec659"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SNEMKIM4WX65GEN7UVHLQO636T/bundle.json","state_url":"https://pith.science/pith/SNEMKIM4WX65GEN7UVHLQO636T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SNEMKIM4WX65GEN7UVHLQO636T/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":"2026-06-20T21:56:57Z","links":{"resolver":"https://pith.science/pith/SNEMKIM4WX65GEN7UVHLQO636T","bundle":"https://pith.science/pith/SNEMKIM4WX65GEN7UVHLQO636T/bundle.json","state":"https://pith.science/pith/SNEMKIM4WX65GEN7UVHLQO636T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SNEMKIM4WX65GEN7UVHLQO636T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SNEMKIM4WX65GEN7UVHLQO636T","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":"50208f6b55af493aa40ac7589ffa65f85572df1fdcd6bc93dcf063152ce3bde0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-10T10:18:22Z","title_canon_sha256":"eeb72ad582fe4c4be452958eeab8bcc7f2db55dbf0c89b8c3afba52277aba536"},"schema_version":"1.0","source":{"id":"1605.02923","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02923","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02923v3","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02923","created_at":"2026-05-18T00:50:29Z"},{"alias_kind":"pith_short_12","alias_value":"SNEMKIM4WX65","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SNEMKIM4WX65GEN7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SNEMKIM4","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:1b8261e01d0edd9762798c05cf486c287e5891c37c53cf417f22952bb94ec659","target":"graph","created_at":"2026-05-18T00:50:29Z","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":"The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems satisfying the most important scale-space properties are identified. Then a numerical study on the effect of cross-diffusion in filtering problems is presented.","authors_text":"A. Araujo, A. Duran, E. Cuesta, S. Barbeiro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-10T10:18:22Z","title":"Cross-diffusion systems for image processing: I. The linear case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02923","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":"sha256:408c9c845deda1298d945b685043fdde3db92571033b84b14a978f13d3d21c4e","target":"record","created_at":"2026-05-18T00:50:29Z","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":"50208f6b55af493aa40ac7589ffa65f85572df1fdcd6bc93dcf063152ce3bde0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-10T10:18:22Z","title_canon_sha256":"eeb72ad582fe4c4be452958eeab8bcc7f2db55dbf0c89b8c3afba52277aba536"},"schema_version":"1.0","source":{"id":"1605.02923","kind":"arxiv","version":3}},"canonical_sha256":"9348c5219cb5fdd311bfa54eb83bdbf4d6e62d48b74431bea51d2247f533cc14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9348c5219cb5fdd311bfa54eb83bdbf4d6e62d48b74431bea51d2247f533cc14","first_computed_at":"2026-05-18T00:50:29.599450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:29.599450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m5dD1DVyCLNpyHT3qvF0WzDAJoB1AwJKlfoQrk4Bbhxy3QS1I4eZ6ufdiuaA9s1qGp7Hz8IsbGFmNHc+Fp5VAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:29.600174Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02923","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:408c9c845deda1298d945b685043fdde3db92571033b84b14a978f13d3d21c4e","sha256:1b8261e01d0edd9762798c05cf486c287e5891c37c53cf417f22952bb94ec659"],"state_sha256":"b188bc7d44025435ab6420c9a77bcb6dc84dcc70d13fd37479cd6d7905c46952"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vloOCV7TjiP4m3nG3dYrI7kvUpVv/OnK9i0fleHAVJrvi033LDZ36oMyWoJWrKXRopBpUBmJUfruGkR2kYC0AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T21:56:57.714542Z","bundle_sha256":"5eca3b3be122592e0f8a1db2090280258ea0553d101d7585ed834110a2325249"}}