{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JQ3AEGXS3B6K7LKJS6NIOFY4TZ","short_pith_number":"pith:JQ3AEGXS","canonical_record":{"source":{"id":"1008.0548","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-08-03T13:37:22Z","cross_cats_sorted":["math.AP","math.OC"],"title_canon_sha256":"dd8cc4147d0e196116b1b12bdaf8e4268208bdcef18d816de05c399d066ab688","abstract_canon_sha256":"5ace5b99b0c7a98cf69da9c9532eb2a39bcf011bae07a2f5a2acf2a465a92986"},"schema_version":"1.0"},"canonical_sha256":"4c36021af2d87cafad49979a87171c9e603c6521e2ed2ac5707703ae50aedd1f","source":{"kind":"arxiv","id":"1008.0548","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0548","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0548v1","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0548","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"pith_short_12","alias_value":"JQ3AEGXS3B6K","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JQ3AEGXS3B6K7LKJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JQ3AEGXS","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JQ3AEGXS3B6K7LKJS6NIOFY4TZ","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0548","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-08-03T13:37:22Z","cross_cats_sorted":["math.AP","math.OC"],"title_canon_sha256":"dd8cc4147d0e196116b1b12bdaf8e4268208bdcef18d816de05c399d066ab688","abstract_canon_sha256":"5ace5b99b0c7a98cf69da9c9532eb2a39bcf011bae07a2f5a2acf2a465a92986"},"schema_version":"1.0"},"canonical_sha256":"4c36021af2d87cafad49979a87171c9e603c6521e2ed2ac5707703ae50aedd1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:42.774938Z","signature_b64":"gPfgU5k8JEOgc9WEp2hdq9qlWL+g1/gOJbK1cBrPRVHaZB2jJULj4EL0h9QhadjcqUffWDGRHoVgSkUrM0x4DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c36021af2d87cafad49979a87171c9e603c6521e2ed2ac5707703ae50aedd1f","last_reissued_at":"2026-05-18T04:42:42.774527Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:42.774527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0548","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:42:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8sqdS/KbwHrPGfaupSqQSIK6lQ3BR6HH/G9bQFYQSxGdZPHD6zRTM065Ib5YV2JDgPYgyEeJ1U3tjUnkb5MSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T14:39:16.063823Z"},"content_sha256":"57a785b6008b35991082d921440a9ae69d907c81064b22e8fd087a9cf6d50860","schema_version":"1.0","event_id":"sha256:57a785b6008b35991082d921440a9ae69d907c81064b22e8fd087a9cf6d50860"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JQ3AEGXS3B6K7LKJS6NIOFY4TZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Image sequence interpolation using optimal control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.OC"],"primary_cat":"cs.CV","authors_text":"Dirk A. Lorenz, Kanglin Chen","submitted_at":"2010-08-03T13:37:22Z","abstract_excerpt":"The problem of the generation of an intermediate image between two given images in an image sequence is considered. The problem is formulated as an optimal control problem governed by a transport equation. This approach bears similarities with the Horn \\& Schunck method for optical flow calculation but in fact the model is quite different. The images are modelled in $BV$ and an analysis of solutions of transport equations with values in $BV$ is included. Moreover, the existence of optimal controls is proven and necessary conditions are derived. Finally, two algorithms are given and numerical r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0548","kind":"arxiv","version":1},"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":"2026-05-18T04:42:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MVJ2eYkssaBWF4BaUIA+dfnKW79h9LfxfUPsS7Kfl/KN2Aif8NQKAY9TeaiKsFXOEDrD91z6MZhVJ6rvz1/3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T14:39:16.064484Z"},"content_sha256":"0bf69b0e0bc846ff9f302537a0ffd4551b06e7fa9f9598df1c1581e52b1bc967","schema_version":"1.0","event_id":"sha256:0bf69b0e0bc846ff9f302537a0ffd4551b06e7fa9f9598df1c1581e52b1bc967"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ/bundle.json","state_url":"https://pith.science/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ/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":"2026-05-20T14:39:16Z","links":{"resolver":"https://pith.science/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ","bundle":"https://pith.science/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ/bundle.json","state":"https://pith.science/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JQ3AEGXS3B6K7LKJS6NIOFY4TZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JQ3AEGXS3B6K7LKJS6NIOFY4TZ","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":"5ace5b99b0c7a98cf69da9c9532eb2a39bcf011bae07a2f5a2acf2a465a92986","cross_cats_sorted":["math.AP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-08-03T13:37:22Z","title_canon_sha256":"dd8cc4147d0e196116b1b12bdaf8e4268208bdcef18d816de05c399d066ab688"},"schema_version":"1.0","source":{"id":"1008.0548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0548","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0548v1","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0548","created_at":"2026-05-18T04:42:42Z"},{"alias_kind":"pith_short_12","alias_value":"JQ3AEGXS3B6K","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JQ3AEGXS3B6K7LKJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JQ3AEGXS","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:0bf69b0e0bc846ff9f302537a0ffd4551b06e7fa9f9598df1c1581e52b1bc967","target":"graph","created_at":"2026-05-18T04:42:42Z","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 problem of the generation of an intermediate image between two given images in an image sequence is considered. The problem is formulated as an optimal control problem governed by a transport equation. This approach bears similarities with the Horn \\& Schunck method for optical flow calculation but in fact the model is quite different. The images are modelled in $BV$ and an analysis of solutions of transport equations with values in $BV$ is included. Moreover, the existence of optimal controls is proven and necessary conditions are derived. Finally, two algorithms are given and numerical r","authors_text":"Dirk A. Lorenz, Kanglin Chen","cross_cats":["math.AP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-08-03T13:37:22Z","title":"Image sequence interpolation using optimal control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0548","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":"sha256:57a785b6008b35991082d921440a9ae69d907c81064b22e8fd087a9cf6d50860","target":"record","created_at":"2026-05-18T04:42:42Z","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":"5ace5b99b0c7a98cf69da9c9532eb2a39bcf011bae07a2f5a2acf2a465a92986","cross_cats_sorted":["math.AP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2010-08-03T13:37:22Z","title_canon_sha256":"dd8cc4147d0e196116b1b12bdaf8e4268208bdcef18d816de05c399d066ab688"},"schema_version":"1.0","source":{"id":"1008.0548","kind":"arxiv","version":1}},"canonical_sha256":"4c36021af2d87cafad49979a87171c9e603c6521e2ed2ac5707703ae50aedd1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c36021af2d87cafad49979a87171c9e603c6521e2ed2ac5707703ae50aedd1f","first_computed_at":"2026-05-18T04:42:42.774527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:42.774527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gPfgU5k8JEOgc9WEp2hdq9qlWL+g1/gOJbK1cBrPRVHaZB2jJULj4EL0h9QhadjcqUffWDGRHoVgSkUrM0x4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:42.774938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57a785b6008b35991082d921440a9ae69d907c81064b22e8fd087a9cf6d50860","sha256:0bf69b0e0bc846ff9f302537a0ffd4551b06e7fa9f9598df1c1581e52b1bc967"],"state_sha256":"9861d9dc376a99a3f9d80f9b34ca82f9aa6a741439cd3cc1a98589bcecf66209"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kTjnHI4FP+NT9bSJZPrHJztwjMgy4cbWMvn8zxn/tnyzgbysHHOmQPx5R1eAsCqmC8tIxbrTIt+86ezVRwhcAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T14:39:16.067471Z","bundle_sha256":"f1084085c4c2a364b26aa66d8bd583de1b5344f2a27b446dba5a01950d376aad"}}