{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JJGMCDD5SKVFNH7YMY5CL3556Y","short_pith_number":"pith:JJGMCDD5","canonical_record":{"source":{"id":"1206.5406","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-06-23T16:27:27Z","cross_cats_sorted":[],"title_canon_sha256":"35cc99bb274d620e9130eb3ae7a23c20140271d2cbfa683d8079cd302c885837","abstract_canon_sha256":"ee6ea8a6f7be196c8be35e793306afa423ffb4f88b683c51bbef1a2814ec70a2"},"schema_version":"1.0"},"canonical_sha256":"4a4cc10c7d92aa569ff8663a25efbdf629f306774979c5fbf9588df5b3135655","source":{"kind":"arxiv","id":"1206.5406","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5406","created_at":"2026-05-18T03:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5406v1","created_at":"2026-05-18T03:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5406","created_at":"2026-05-18T03:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"JJGMCDD5SKVF","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JJGMCDD5SKVFNH7Y","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JJGMCDD5","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JJGMCDD5SKVFNH7YMY5CL3556Y","target":"record","payload":{"canonical_record":{"source":{"id":"1206.5406","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-06-23T16:27:27Z","cross_cats_sorted":[],"title_canon_sha256":"35cc99bb274d620e9130eb3ae7a23c20140271d2cbfa683d8079cd302c885837","abstract_canon_sha256":"ee6ea8a6f7be196c8be35e793306afa423ffb4f88b683c51bbef1a2814ec70a2"},"schema_version":"1.0"},"canonical_sha256":"4a4cc10c7d92aa569ff8663a25efbdf629f306774979c5fbf9588df5b3135655","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:40.200016Z","signature_b64":"fmrALbzra2rHd/zruDhM0vi5+C/1Zk9OHd75w/4KxFVxyE3+wbeEmPVUN+39skvB7X7CVyDtCP1b2o6uOIExBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a4cc10c7d92aa569ff8663a25efbdf629f306774979c5fbf9588df5b3135655","last_reissued_at":"2026-05-18T03:52:40.196733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:40.196733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.5406","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":"2026-05-18T03:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgmW7prwUvDbPFsO+U+prhXaUm//n6t0cCow9elgagnZ67yU2WbwxDjQJxNY3Usa6fdDCG0LyTfWXBwDoa2pDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T20:24:04.987926Z"},"content_sha256":"c766bed6e3fa72a07525d2c20b305ced37ed92118756b7d7810be929ef17668c","schema_version":"1.0","event_id":"sha256:c766bed6e3fa72a07525d2c20b305ced37ed92118756b7d7810be929ef17668c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JJGMCDD5SKVFNH7YMY5CL3556Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Transport for imaging process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"J\\'er\\^ome Pousin, Martine Picq, Olivier Besson","submitted_at":"2012-06-23T16:27:27Z","abstract_excerpt":"This work originates from a heart's images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed segmented. Given two images $\\rho_0$ and $\\rho_1$, we calculate an evolution process $\\rho(t,\\cdot)$ which transports $\\rho_0$ to $\\rho_1$ by using the optical flow. In this paper we propose an algorithm based on a fixed point formulation and a space-time least squares formulation of the transport equation for computing a transport problem. Existence results are given for a transport problem with a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5406","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":"2026-05-18T03:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ey+p+xU7wRoPbcRow8uDmpzHePNyhv4osrsey703Nu14lb605owha9SvkRPyFoHmqgXmP+0czO6oZJVeuxPvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T20:24:04.988300Z"},"content_sha256":"6c0923f5d2f144e8284559debd1783625f3ed9ee6a8c6aee7f06fd6ce354f4b9","schema_version":"1.0","event_id":"sha256:6c0923f5d2f144e8284559debd1783625f3ed9ee6a8c6aee7f06fd6ce354f4b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JJGMCDD5SKVFNH7YMY5CL3556Y/bundle.json","state_url":"https://pith.science/pith/JJGMCDD5SKVFNH7YMY5CL3556Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JJGMCDD5SKVFNH7YMY5CL3556Y/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":"2026-06-22T20:24:04Z","links":{"resolver":"https://pith.science/pith/JJGMCDD5SKVFNH7YMY5CL3556Y","bundle":"https://pith.science/pith/JJGMCDD5SKVFNH7YMY5CL3556Y/bundle.json","state":"https://pith.science/pith/JJGMCDD5SKVFNH7YMY5CL3556Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JJGMCDD5SKVFNH7YMY5CL3556Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JJGMCDD5SKVFNH7YMY5CL3556Y","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":"ee6ea8a6f7be196c8be35e793306afa423ffb4f88b683c51bbef1a2814ec70a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-06-23T16:27:27Z","title_canon_sha256":"35cc99bb274d620e9130eb3ae7a23c20140271d2cbfa683d8079cd302c885837"},"schema_version":"1.0","source":{"id":"1206.5406","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5406","created_at":"2026-05-18T03:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5406v1","created_at":"2026-05-18T03:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5406","created_at":"2026-05-18T03:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"JJGMCDD5SKVF","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JJGMCDD5SKVFNH7Y","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JJGMCDD5","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:6c0923f5d2f144e8284559debd1783625f3ed9ee6a8c6aee7f06fd6ce354f4b9","target":"graph","created_at":"2026-05-18T03:52:40Z","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":"This work originates from a heart's images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed segmented. Given two images $\\rho_0$ and $\\rho_1$, we calculate an evolution process $\\rho(t,\\cdot)$ which transports $\\rho_0$ to $\\rho_1$ by using the optical flow. In this paper we propose an algorithm based on a fixed point formulation and a space-time least squares formulation of the transport equation for computing a transport problem. Existence results are given for a transport problem with a ","authors_text":"J\\'er\\^ome Pousin, Martine Picq, Olivier Besson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-06-23T16:27:27Z","title":"A Transport for imaging process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5406","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:c766bed6e3fa72a07525d2c20b305ced37ed92118756b7d7810be929ef17668c","target":"record","created_at":"2026-05-18T03:52:40Z","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":"ee6ea8a6f7be196c8be35e793306afa423ffb4f88b683c51bbef1a2814ec70a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-06-23T16:27:27Z","title_canon_sha256":"35cc99bb274d620e9130eb3ae7a23c20140271d2cbfa683d8079cd302c885837"},"schema_version":"1.0","source":{"id":"1206.5406","kind":"arxiv","version":1}},"canonical_sha256":"4a4cc10c7d92aa569ff8663a25efbdf629f306774979c5fbf9588df5b3135655","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a4cc10c7d92aa569ff8663a25efbdf629f306774979c5fbf9588df5b3135655","first_computed_at":"2026-05-18T03:52:40.196733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:40.196733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fmrALbzra2rHd/zruDhM0vi5+C/1Zk9OHd75w/4KxFVxyE3+wbeEmPVUN+39skvB7X7CVyDtCP1b2o6uOIExBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:40.200016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5406","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c766bed6e3fa72a07525d2c20b305ced37ed92118756b7d7810be929ef17668c","sha256:6c0923f5d2f144e8284559debd1783625f3ed9ee6a8c6aee7f06fd6ce354f4b9"],"state_sha256":"63c430e9a545e02319a7154e49f168e6fc6180f17440ad5ec6209e71ec1abe3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+fpg8gh1AP/BfNuxiV0vTJK9E5pFC7wMoNcDDtnB2p3yl3BNqCry1yekPWvOGtGZ1FuDvg1PncFP/qizrMaJDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T20:24:04.990179Z","bundle_sha256":"c7fd17844ff2711990175d281d7f99b08170a55b8ada84dca35c2e68fbf5b9c7"}}