{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6HEKOFBXISSOBNYOW5QV5DPQFQ","short_pith_number":"pith:6HEKOFBX","canonical_record":{"source":{"id":"1403.2131","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-10T02:36:14Z","cross_cats_sorted":[],"title_canon_sha256":"f16fc12bc758cb8471fd925d9fb91d049534c838cde6e3036232d89d9ad4cace","abstract_canon_sha256":"e0740aa8824e31ec2ad000158de6b699b15a4c1f4e4c1b5a584351cb01cb957c"},"schema_version":"1.0"},"canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","source":{"kind":"arxiv","id":"1403.2131","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2131","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2131v2","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2131","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"6HEKOFBXISSO","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6HEKOFBXISSOBNYO","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6HEKOFBX","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6HEKOFBXISSOBNYOW5QV5DPQFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2131","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-10T02:36:14Z","cross_cats_sorted":[],"title_canon_sha256":"f16fc12bc758cb8471fd925d9fb91d049534c838cde6e3036232d89d9ad4cace","abstract_canon_sha256":"e0740aa8824e31ec2ad000158de6b699b15a4c1f4e4c1b5a584351cb01cb957c"},"schema_version":"1.0"},"canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:46.454037Z","signature_b64":"pdqwzeulU3CUg1BFaEuKSsskVivdAl3x7/YQWg9FDaHAEgSqN/39yqf+LkiVPYXt2wbQXXfxXNIK+GljVSAGBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","last_reissued_at":"2026-05-18T02:54:46.453611Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:46.453611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2131","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":"2026-05-18T02:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XDfYBCnzUSIdQUgqp34KoLNXyXrvi/sFHdHk6NqwIUwIMBcKptsonIWw/+fk3lSzC9K4QHtBfm3LCn/D7jUIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:18:09.520204Z"},"content_sha256":"982d9ae16407765b52c960ec4080814cc2bf179b613f1d1ec24765a6da7875d4","schema_version":"1.0","event_id":"sha256:982d9ae16407765b52c960ec4080814cc2bf179b613f1d1ec24765a6da7875d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6HEKOFBXISSOBNYOW5QV5DPQFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anisotropic Diffusion on Curved Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Colin B. Macdonald, Emma Naden, Thomas M\\\"arz","submitted_at":"2014-03-10T02:36:14Z","abstract_excerpt":"We demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on in-surface diffusion: we formulate Weickert's edge/coherence enhancing diffusion models in a surface-intrinsic way. These diffusion processes are anisotropic and the equations depend non-linearly on the data. The surface-intrinsic equations are dealt with the closest point method, a technique for solving partial differential equations (PDEs) on general surfaces. The resulting algorithm has a very simple structure: we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2131","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":""},"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":"2026-05-18T02:54:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEoL7DKu7bZlvRVNL/zxwIqC2SioZdmYmkb1a/FtPWiyXM6yHPx9a+V8dvhCkpkUvbOF4LrJdqBd5pwEAXboBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:18:09.520636Z"},"content_sha256":"2ded2d887870ea6f431581b59d7c8fb2cc61c41c96241857fe2b4f8712ec268e","schema_version":"1.0","event_id":"sha256:2ded2d887870ea6f431581b59d7c8fb2cc61c41c96241857fe2b4f8712ec268e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/bundle.json","state_url":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/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":"2026-05-30T18:18:09Z","links":{"resolver":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ","bundle":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/bundle.json","state":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6HEKOFBXISSOBNYOW5QV5DPQFQ","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":"e0740aa8824e31ec2ad000158de6b699b15a4c1f4e4c1b5a584351cb01cb957c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-10T02:36:14Z","title_canon_sha256":"f16fc12bc758cb8471fd925d9fb91d049534c838cde6e3036232d89d9ad4cace"},"schema_version":"1.0","source":{"id":"1403.2131","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2131","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2131v2","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2131","created_at":"2026-05-18T02:54:46Z"},{"alias_kind":"pith_short_12","alias_value":"6HEKOFBXISSO","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6HEKOFBXISSOBNYO","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6HEKOFBX","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:2ded2d887870ea6f431581b59d7c8fb2cc61c41c96241857fe2b4f8712ec268e","target":"graph","created_at":"2026-05-18T02:54:46Z","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 demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on in-surface diffusion: we formulate Weickert's edge/coherence enhancing diffusion models in a surface-intrinsic way. These diffusion processes are anisotropic and the equations depend non-linearly on the data. The surface-intrinsic equations are dealt with the closest point method, a technique for solving partial differential equations (PDEs) on general surfaces. The resulting algorithm has a very simple structure: we","authors_text":"Colin B. Macdonald, Emma Naden, Thomas M\\\"arz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-10T02:36:14Z","title":"Anisotropic Diffusion on Curved Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2131","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":"sha256:982d9ae16407765b52c960ec4080814cc2bf179b613f1d1ec24765a6da7875d4","target":"record","created_at":"2026-05-18T02:54:46Z","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":"e0740aa8824e31ec2ad000158de6b699b15a4c1f4e4c1b5a584351cb01cb957c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-10T02:36:14Z","title_canon_sha256":"f16fc12bc758cb8471fd925d9fb91d049534c838cde6e3036232d89d9ad4cace"},"schema_version":"1.0","source":{"id":"1403.2131","kind":"arxiv","version":2}},"canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","first_computed_at":"2026-05-18T02:54:46.453611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:46.453611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pdqwzeulU3CUg1BFaEuKSsskVivdAl3x7/YQWg9FDaHAEgSqN/39yqf+LkiVPYXt2wbQXXfxXNIK+GljVSAGBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:46.454037Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2131","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:982d9ae16407765b52c960ec4080814cc2bf179b613f1d1ec24765a6da7875d4","sha256:2ded2d887870ea6f431581b59d7c8fb2cc61c41c96241857fe2b4f8712ec268e"],"state_sha256":"0d88dc1fe22b98f118c61f45da1867309e64c067e50eed5e7dbce8baffa5bfe8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/X/HnDUxWNgykCRHp9woom9VXo7EwNAYEnWF6kF9TwZO/a+O1nKu6bwv+fwbaAoxeKf3ndMkl0Zr2T/kL6XMAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:18:09.523162Z","bundle_sha256":"93a2f479435c8a0251b07c29fc988cd98379e57bddf2e5c24debf98b88eca41c"}}