{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WB2VSEL5V5KZWCRH775HNFMGOE","short_pith_number":"pith:WB2VSEL5","canonical_record":{"source":{"id":"1509.06142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-21T08:31:54Z","cross_cats_sorted":[],"title_canon_sha256":"dfebce747cd6deb1696a7a2c146beb27e8d135c6e5266b25858ae0c8310d8d69","abstract_canon_sha256":"a12b16144c64426604ffffb63af90919dfe0998a0734e5c1c55948329960c81c"},"schema_version":"1.0"},"canonical_sha256":"b07559117daf559b0a27fffa7695867125e6377d7fb6afb57bce1b387f1ae571","source":{"kind":"arxiv","id":"1509.06142","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06142","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06142v2","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06142","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"WB2VSEL5V5KZ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WB2VSEL5V5KZWCRH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WB2VSEL5","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WB2VSEL5V5KZWCRH775HNFMGOE","target":"record","payload":{"canonical_record":{"source":{"id":"1509.06142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-21T08:31:54Z","cross_cats_sorted":[],"title_canon_sha256":"dfebce747cd6deb1696a7a2c146beb27e8d135c6e5266b25858ae0c8310d8d69","abstract_canon_sha256":"a12b16144c64426604ffffb63af90919dfe0998a0734e5c1c55948329960c81c"},"schema_version":"1.0"},"canonical_sha256":"b07559117daf559b0a27fffa7695867125e6377d7fb6afb57bce1b387f1ae571","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:37.210950Z","signature_b64":"lz+jOosVQbxxULnGJtRQpk8orJcmzUuXUrnvCRQlYDzLnop8BOuIXsNbEzlGdZPmOhlgCzWJ2LotFXGXce1MAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07559117daf559b0a27fffa7695867125e6377d7fb6afb57bce1b387f1ae571","last_reissued_at":"2026-05-18T01:17:37.210282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:37.210282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.06142","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":"2026-05-18T01:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2if20IzxWLDXa+BrO3cDgRSFEB9uaQk1j2NgvfkIeA4P9tnhAVfAcQT2v/3UXCU1QYMBn4qbMA7EGkrG4rYzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:55:33.199196Z"},"content_sha256":"b63272734062369b7add3108e13984659d77c5ad3818dc87bc90e4434290142f","schema_version":"1.0","event_id":"sha256:b63272734062369b7add3108e13984659d77c5ad3818dc87bc90e4434290142f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WB2VSEL5V5KZWCRH775HNFMGOE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transport between RGB Images Motivated by Dynamic Optimal Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Friederike Laus, Gabriele Steidl, Jan Henrik Fitschen","submitted_at":"2015-09-21T08:31:54Z","abstract_excerpt":"We propose two models for the interpolation between RGB images based on the dynamic optimal transport model of Benamou and Brenier [8]. While the application of dynamic optimal transport and its extensions to unbalanced transform were examined for gray-values images in various papers, this is the first attempt to generalize the idea to color images. The nontrivial task to incorporate color into the model is tackled by considering RGB images as three-dimensional arrays, where the transport in the RGB direction is performed in a periodic way. Following the approach of Papadakis et al. [35] for g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06142","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":"2026-05-18T01:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WoiVOJdEq6Hu1lDQs8pOANnuesy84twIWyqKEXkO37YTO/6rJ3bWu1kUdZiAHFcDBjiktb+nBM1+6EjCdMl8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:55:33.199558Z"},"content_sha256":"6343ca763347a0bd2d6f16cb19d4c1691ffc00fdc2239499a68b1a2d114abdcb","schema_version":"1.0","event_id":"sha256:6343ca763347a0bd2d6f16cb19d4c1691ffc00fdc2239499a68b1a2d114abdcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WB2VSEL5V5KZWCRH775HNFMGOE/bundle.json","state_url":"https://pith.science/pith/WB2VSEL5V5KZWCRH775HNFMGOE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WB2VSEL5V5KZWCRH775HNFMGOE/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":"2026-06-23T16:55:33Z","links":{"resolver":"https://pith.science/pith/WB2VSEL5V5KZWCRH775HNFMGOE","bundle":"https://pith.science/pith/WB2VSEL5V5KZWCRH775HNFMGOE/bundle.json","state":"https://pith.science/pith/WB2VSEL5V5KZWCRH775HNFMGOE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WB2VSEL5V5KZWCRH775HNFMGOE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WB2VSEL5V5KZWCRH775HNFMGOE","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":"a12b16144c64426604ffffb63af90919dfe0998a0734e5c1c55948329960c81c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-21T08:31:54Z","title_canon_sha256":"dfebce747cd6deb1696a7a2c146beb27e8d135c6e5266b25858ae0c8310d8d69"},"schema_version":"1.0","source":{"id":"1509.06142","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06142","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06142v2","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06142","created_at":"2026-05-18T01:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"WB2VSEL5V5KZ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WB2VSEL5V5KZWCRH","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WB2VSEL5","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:6343ca763347a0bd2d6f16cb19d4c1691ffc00fdc2239499a68b1a2d114abdcb","target":"graph","created_at":"2026-05-18T01:17:37Z","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 propose two models for the interpolation between RGB images based on the dynamic optimal transport model of Benamou and Brenier [8]. While the application of dynamic optimal transport and its extensions to unbalanced transform were examined for gray-values images in various papers, this is the first attempt to generalize the idea to color images. The nontrivial task to incorporate color into the model is tackled by considering RGB images as three-dimensional arrays, where the transport in the RGB direction is performed in a periodic way. Following the approach of Papadakis et al. [35] for g","authors_text":"Friederike Laus, Gabriele Steidl, Jan Henrik Fitschen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-21T08:31:54Z","title":"Transport between RGB Images Motivated by Dynamic Optimal Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06142","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:b63272734062369b7add3108e13984659d77c5ad3818dc87bc90e4434290142f","target":"record","created_at":"2026-05-18T01:17:37Z","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":"a12b16144c64426604ffffb63af90919dfe0998a0734e5c1c55948329960c81c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-21T08:31:54Z","title_canon_sha256":"dfebce747cd6deb1696a7a2c146beb27e8d135c6e5266b25858ae0c8310d8d69"},"schema_version":"1.0","source":{"id":"1509.06142","kind":"arxiv","version":2}},"canonical_sha256":"b07559117daf559b0a27fffa7695867125e6377d7fb6afb57bce1b387f1ae571","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b07559117daf559b0a27fffa7695867125e6377d7fb6afb57bce1b387f1ae571","first_computed_at":"2026-05-18T01:17:37.210282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:37.210282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lz+jOosVQbxxULnGJtRQpk8orJcmzUuXUrnvCRQlYDzLnop8BOuIXsNbEzlGdZPmOhlgCzWJ2LotFXGXce1MAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:37.210950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06142","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b63272734062369b7add3108e13984659d77c5ad3818dc87bc90e4434290142f","sha256:6343ca763347a0bd2d6f16cb19d4c1691ffc00fdc2239499a68b1a2d114abdcb"],"state_sha256":"0a4fc536e6764f1953dd272890d4b514b9f4a80ab53ecc769707a18a29d4da7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0a26wm51lHuSYGLucnQMJqThjIZ+aB0Jf5vJ9t2DJb2DBuR4JtdCOSh+fjmY5uDWolin7Y0ntIa/7xiVSf5Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:55:33.201421Z","bundle_sha256":"ff300f27ebbfd65608565fdb3ca3d30e4c8418ea806aed9f8aa5b09f38f8daa0"}}