{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SRAWGKUHSEEADJPGLKEJDWVVRS","short_pith_number":"pith:SRAWGKUH","canonical_record":{"source":{"id":"1301.3925","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-16T21:26:21Z","cross_cats_sorted":[],"title_canon_sha256":"475da5be1779253c3fbf5b13ddee53243d52ee077de9bdc2491c4eac55feb976","abstract_canon_sha256":"cf66a903fd44b91f044e188663aa712b63f03c4223553bb3975363b8a90c2acb"},"schema_version":"1.0"},"canonical_sha256":"9441632a87910801a5e65a8891dab58ca9e238c1db5ad529bb0c2008065412eb","source":{"kind":"arxiv","id":"1301.3925","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3925","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3925v2","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3925","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"pith_short_12","alias_value":"SRAWGKUHSEEA","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SRAWGKUHSEEADJPG","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SRAWGKUH","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SRAWGKUHSEEADJPGLKEJDWVVRS","target":"record","payload":{"canonical_record":{"source":{"id":"1301.3925","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-16T21:26:21Z","cross_cats_sorted":[],"title_canon_sha256":"475da5be1779253c3fbf5b13ddee53243d52ee077de9bdc2491c4eac55feb976","abstract_canon_sha256":"cf66a903fd44b91f044e188663aa712b63f03c4223553bb3975363b8a90c2acb"},"schema_version":"1.0"},"canonical_sha256":"9441632a87910801a5e65a8891dab58ca9e238c1db5ad529bb0c2008065412eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:14.343069Z","signature_b64":"tu+PbF24NSDk8rvQdYjsvANneCVFhpB0o57PLetUOy+jnjjf/dw5sHY/5YDwMhyY9AEQru6B/zcpCeeJVeh/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9441632a87910801a5e65a8891dab58ca9e238c1db5ad529bb0c2008065412eb","last_reissued_at":"2026-05-18T03:25:14.342512Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:14.342512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.3925","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":"2026-05-18T03:25:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hklzB4j2MAjtyAj7xG/YmXAymMUtE2JFiOTRKafJY8yaBOMB6CTr2PYA9LwVWuatdNCIUXhtmAdCg4LqMsGrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:33:24.091149Z"},"content_sha256":"d030f333f09096b3073f8740f7c0a04a24e74142e0c0ba8587259e82fed6ce8e","schema_version":"1.0","event_id":"sha256:d030f333f09096b3073f8740f7c0a04a24e74142e0c0ba8587259e82fed6ce8e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SRAWGKUHSEEADJPGLKEJDWVVRS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sparse Non-Negative Stencils for Anisotropic Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jean-Marie Mirebeau, J\\'er\\^ome Fehrenbach","submitted_at":"2013-01-16T21:26:21Z","abstract_excerpt":"We introduce a new discretization scheme for Anisotropic Diffusion, AD-LBR, on two and three dimensional cartesian grids. The main features of this scheme is that it is non-negative, and has a stencil cardinality bounded by 6 in 2D, by 14 in 3D, despite allowing diffusion tensors of arbitrary anisotropy. Our scheme also has good spectral properties, which permits larger time steps and avoids e.g. chessboard artifacts.\n  AD-LBR relies on Lattice Basis Reduction, a tool from discrete mathematics which has recently shown its relevance for the discretization on grids of strongly anisotropic Partia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3925","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":"2026-05-18T03:25:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X/UZysMTp7CwngXwmIJHUG3ypuWMty7Tf5G0i5QrZTkdg7rZ3Q/rq4SHpnqef9bwH/nVE1a6yPUf/WyggkXnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:33:24.091910Z"},"content_sha256":"fe92dd220444af1386357f403a5b8460108c9612903f671dca89f81f99d89aa8","schema_version":"1.0","event_id":"sha256:fe92dd220444af1386357f403a5b8460108c9612903f671dca89f81f99d89aa8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SRAWGKUHSEEADJPGLKEJDWVVRS/bundle.json","state_url":"https://pith.science/pith/SRAWGKUHSEEADJPGLKEJDWVVRS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SRAWGKUHSEEADJPGLKEJDWVVRS/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":"2026-05-31T04:33:24Z","links":{"resolver":"https://pith.science/pith/SRAWGKUHSEEADJPGLKEJDWVVRS","bundle":"https://pith.science/pith/SRAWGKUHSEEADJPGLKEJDWVVRS/bundle.json","state":"https://pith.science/pith/SRAWGKUHSEEADJPGLKEJDWVVRS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SRAWGKUHSEEADJPGLKEJDWVVRS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SRAWGKUHSEEADJPGLKEJDWVVRS","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":"cf66a903fd44b91f044e188663aa712b63f03c4223553bb3975363b8a90c2acb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-16T21:26:21Z","title_canon_sha256":"475da5be1779253c3fbf5b13ddee53243d52ee077de9bdc2491c4eac55feb976"},"schema_version":"1.0","source":{"id":"1301.3925","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3925","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3925v2","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3925","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"pith_short_12","alias_value":"SRAWGKUHSEEA","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SRAWGKUHSEEADJPG","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SRAWGKUH","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:fe92dd220444af1386357f403a5b8460108c9612903f671dca89f81f99d89aa8","target":"graph","created_at":"2026-05-18T03:25:14Z","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 introduce a new discretization scheme for Anisotropic Diffusion, AD-LBR, on two and three dimensional cartesian grids. The main features of this scheme is that it is non-negative, and has a stencil cardinality bounded by 6 in 2D, by 14 in 3D, despite allowing diffusion tensors of arbitrary anisotropy. Our scheme also has good spectral properties, which permits larger time steps and avoids e.g. chessboard artifacts.\n  AD-LBR relies on Lattice Basis Reduction, a tool from discrete mathematics which has recently shown its relevance for the discretization on grids of strongly anisotropic Partia","authors_text":"Jean-Marie Mirebeau, J\\'er\\^ome Fehrenbach","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-16T21:26:21Z","title":"Sparse Non-Negative Stencils for Anisotropic Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3925","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:d030f333f09096b3073f8740f7c0a04a24e74142e0c0ba8587259e82fed6ce8e","target":"record","created_at":"2026-05-18T03:25:14Z","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":"cf66a903fd44b91f044e188663aa712b63f03c4223553bb3975363b8a90c2acb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-16T21:26:21Z","title_canon_sha256":"475da5be1779253c3fbf5b13ddee53243d52ee077de9bdc2491c4eac55feb976"},"schema_version":"1.0","source":{"id":"1301.3925","kind":"arxiv","version":2}},"canonical_sha256":"9441632a87910801a5e65a8891dab58ca9e238c1db5ad529bb0c2008065412eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9441632a87910801a5e65a8891dab58ca9e238c1db5ad529bb0c2008065412eb","first_computed_at":"2026-05-18T03:25:14.342512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:14.342512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tu+PbF24NSDk8rvQdYjsvANneCVFhpB0o57PLetUOy+jnjjf/dw5sHY/5YDwMhyY9AEQru6B/zcpCeeJVeh/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:14.343069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3925","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d030f333f09096b3073f8740f7c0a04a24e74142e0c0ba8587259e82fed6ce8e","sha256:fe92dd220444af1386357f403a5b8460108c9612903f671dca89f81f99d89aa8"],"state_sha256":"7e516348b83c174227ebb0be549e8b19fcbbc7659246bdb185132eb94ec6c5af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PYgsbEWztTNQSWpbE/+MdYyyHEnUw9tzTf1wnRI7VcLsyur1eA+AH8r9BcVg/HxwjY1f8CIqfTDVO9CNXFlNCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:33:24.096012Z","bundle_sha256":"44fcb1c09fee8fe4e87d726072e3a410e951fb0da003863eb4b458901c3fd5d3"}}