{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6KRK5EQJEQ4ZSPKSLHDIRA6K2L","short_pith_number":"pith:6KRK5EQJ","canonical_record":{"source":{"id":"1611.07316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-22T14:33:03Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"ce110c574406b8ffec8e06975a8499c4e0f6e349ad53b8c3f494f9fece9a3e3d","abstract_canon_sha256":"9414a0c3af4c45328884f4d2437279a6588e9cbd20c50734d182fd29600ecd5f"},"schema_version":"1.0"},"canonical_sha256":"f2a2ae92092439993d5259c68883cad2c558b7d87470d3ceb2892b5262019920","source":{"kind":"arxiv","id":"1611.07316","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07316","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07316v1","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07316","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"pith_short_12","alias_value":"6KRK5EQJEQ4Z","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6KRK5EQJEQ4ZSPKS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6KRK5EQJ","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6KRK5EQJEQ4ZSPKSLHDIRA6K2L","target":"record","payload":{"canonical_record":{"source":{"id":"1611.07316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-22T14:33:03Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"ce110c574406b8ffec8e06975a8499c4e0f6e349ad53b8c3f494f9fece9a3e3d","abstract_canon_sha256":"9414a0c3af4c45328884f4d2437279a6588e9cbd20c50734d182fd29600ecd5f"},"schema_version":"1.0"},"canonical_sha256":"f2a2ae92092439993d5259c68883cad2c558b7d87470d3ceb2892b5262019920","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:18.913551Z","signature_b64":"jb6/6byK3DDnT34FZxD3+s2HwYZzuP7isotLiUSS26zWELzJcnfq+05D8DrL6G+V40LnPaU+23cb3p6mrKeyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2a2ae92092439993d5259c68883cad2c558b7d87470d3ceb2892b5262019920","last_reissued_at":"2026-05-18T00:56:18.912855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:18.912855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.07316","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":"2026-05-18T00:56:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yh54XeLPA0j12hsFNs5hsnjVH73eGb1iirdJWWBcLNzQjIwH6MZB2mkJF9iyRi4KmflkLwVBngQV/NnUvbv9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:45:16.071445Z"},"content_sha256":"7946a857c313d7b486024cf31f39745ec082be61033f6b2340cd2a86e0591dc5","schema_version":"1.0","event_id":"sha256:7946a857c313d7b486024cf31f39745ec082be61033f6b2340cd2a86e0591dc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6KRK5EQJEQ4ZSPKSLHDIRA6K2L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A variational problem arising in registration of diffusion tensor images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Huan Han, Huan-Song Zhou","submitted_at":"2016-11-22T14:33:03Z","abstract_excerpt":"The existence of a global minimizer for a variational problem arising in registration of diffusion tensor images is proved, which ensures that there is a regular spatial transformation for the registration of diffusion tensor images."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07316","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":"2026-05-18T00:56:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZVWAe/nAZrZHMS5bCQH5ac8kcI0CghlyI0OCKoVDlTrx+JeoOMULqFoLg6THq2kLg0jy9MCyyC4H9AAzT1OWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:45:16.071784Z"},"content_sha256":"fbaa293f210ec307e1ab3201edb3091aabf8615a1af7f24ea4f2790b1216cf2c","schema_version":"1.0","event_id":"sha256:fbaa293f210ec307e1ab3201edb3091aabf8615a1af7f24ea4f2790b1216cf2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L/bundle.json","state_url":"https://pith.science/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L/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":"2026-07-01T07:45:16Z","links":{"resolver":"https://pith.science/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L","bundle":"https://pith.science/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L/bundle.json","state":"https://pith.science/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KRK5EQJEQ4ZSPKSLHDIRA6K2L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6KRK5EQJEQ4ZSPKSLHDIRA6K2L","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":"9414a0c3af4c45328884f4d2437279a6588e9cbd20c50734d182fd29600ecd5f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-22T14:33:03Z","title_canon_sha256":"ce110c574406b8ffec8e06975a8499c4e0f6e349ad53b8c3f494f9fece9a3e3d"},"schema_version":"1.0","source":{"id":"1611.07316","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07316","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07316v1","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07316","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"pith_short_12","alias_value":"6KRK5EQJEQ4Z","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6KRK5EQJEQ4ZSPKS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6KRK5EQJ","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:fbaa293f210ec307e1ab3201edb3091aabf8615a1af7f24ea4f2790b1216cf2c","target":"graph","created_at":"2026-05-18T00:56:18Z","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 existence of a global minimizer for a variational problem arising in registration of diffusion tensor images is proved, which ensures that there is a regular spatial transformation for the registration of diffusion tensor images.","authors_text":"Huan Han, Huan-Song Zhou","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-22T14:33:03Z","title":"A variational problem arising in registration of diffusion tensor images"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07316","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":"sha256:7946a857c313d7b486024cf31f39745ec082be61033f6b2340cd2a86e0591dc5","target":"record","created_at":"2026-05-18T00:56:18Z","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":"9414a0c3af4c45328884f4d2437279a6588e9cbd20c50734d182fd29600ecd5f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-22T14:33:03Z","title_canon_sha256":"ce110c574406b8ffec8e06975a8499c4e0f6e349ad53b8c3f494f9fece9a3e3d"},"schema_version":"1.0","source":{"id":"1611.07316","kind":"arxiv","version":1}},"canonical_sha256":"f2a2ae92092439993d5259c68883cad2c558b7d87470d3ceb2892b5262019920","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2a2ae92092439993d5259c68883cad2c558b7d87470d3ceb2892b5262019920","first_computed_at":"2026-05-18T00:56:18.912855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:18.912855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jb6/6byK3DDnT34FZxD3+s2HwYZzuP7isotLiUSS26zWELzJcnfq+05D8DrL6G+V40LnPaU+23cb3p6mrKeyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:18.913551Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.07316","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7946a857c313d7b486024cf31f39745ec082be61033f6b2340cd2a86e0591dc5","sha256:fbaa293f210ec307e1ab3201edb3091aabf8615a1af7f24ea4f2790b1216cf2c"],"state_sha256":"759d221e7bc0d02473764482cea5ed914add4fa43972fb9e7e74cd5493ce34e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3sLTgf1xMMbU262thKcSMO8hfZ2QI/N5q+XvyZ/siSVOQa+brs9Iw1j1OJBXd747bOrTA10ZH+6UFYm9MkGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T07:45:16.073732Z","bundle_sha256":"4ac3692afb45cd7787707d4c75ff35cc9cf6da8058458333bb70e52699dc6de1"}}