{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:TA4RNBYXB6D3VPT4QKQ2EI76DI","short_pith_number":"pith:TA4RNBYX","canonical_record":{"source":{"id":"2207.01466","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2022-07-04T14:51:59Z","cross_cats_sorted":["math.OC","physics.comp-ph","physics.data-an","physics.flu-dyn"],"title_canon_sha256":"5355378ee2b2e9c9a157e45e4517fba6c9a22a54c81564a97f6abd5504f089d9","abstract_canon_sha256":"c811e1333d889743acafea5e6c3b8c4b9bbf74d0d8634f5073f3973df02970e0"},"schema_version":"1.0"},"canonical_sha256":"98391687170f87babe7c82a1a223fe1a273d7b55e42c0804fa8a844be84ffa1f","source":{"kind":"arxiv","id":"2207.01466","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01466","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01466v2","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01466","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"TA4RNBYXB6D3","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"TA4RNBYXB6D3VPT4","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"TA4RNBYX","created_at":"2026-07-05T05:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:TA4RNBYXB6D3VPT4QKQ2EI76DI","target":"record","payload":{"canonical_record":{"source":{"id":"2207.01466","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2022-07-04T14:51:59Z","cross_cats_sorted":["math.OC","physics.comp-ph","physics.data-an","physics.flu-dyn"],"title_canon_sha256":"5355378ee2b2e9c9a157e45e4517fba6c9a22a54c81564a97f6abd5504f089d9","abstract_canon_sha256":"c811e1333d889743acafea5e6c3b8c4b9bbf74d0d8634f5073f3973df02970e0"},"schema_version":"1.0"},"canonical_sha256":"98391687170f87babe7c82a1a223fe1a273d7b55e42c0804fa8a844be84ffa1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:30:09.636572Z","signature_b64":"ZoG29h2Y+j36IoOqBOr82TMNWDTZ9Fr6SyyQe5uTySrIL4LanmCwd1E/ws4oSX5zFgbkdwtzqX2khXx+O8WxBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98391687170f87babe7c82a1a223fe1a273d7b55e42c0804fa8a844be84ffa1f","last_reissued_at":"2026-07-05T05:30:09.636092Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:30:09.636092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.01466","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":"2026-07-05T05:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l0rPfCqeOwkaNTFzAyVqhs7ZDXxcuz/bO6NshZ55uZqDlnbbdb8Ie1Nl8fS4Y7XhAaxI3n+mmmFXuMfx5eSTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:04:23.960494Z"},"content_sha256":"ff1e9c2db4a0854e00c76f0b7739666527836f8fbe67171c1b5d25f2c85a0795","schema_version":"1.0","event_id":"sha256:ff1e9c2db4a0854e00c76f0b7739666527836f8fbe67171c1b5d25f2c85a0795"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:TA4RNBYXB6D3VPT4QKQ2EI76DI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physics-informed compressed sensing for PC-MRI: an inverse Navier-Stokes problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.OC","physics.comp-ph","physics.data-an","physics.flu-dyn"],"primary_cat":"cs.CV","authors_text":"Alexandros Kontogiannis, Matthew P. Juniper","submitted_at":"2022-07-04T14:51:59Z","abstract_excerpt":"We formulate a physics-informed compressed sensing (PICS) method for the reconstruction of velocity fields from noisy and sparse phase-contrast magnetic resonance signals. The method solves an inverse Navier-Stokes boundary value problem, which permits us to jointly reconstruct and segment the velocity field, and at the same time infer hidden quantities such as the hydrodynamic pressure and the wall shear stress. Using a Bayesian framework, we regularize the problem by introducing a priori information about the unknown parameters in the form of Gaussian random fields. This prior information is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01466","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.01466/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"az1oKCD98BOO4/JaxppFuQxuqnOj/oiRg76bmJ8VHZBHVPuH/yERjClAk8Fv2qT41AbRWjKEcxUqj/7IIQcbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T08:04:23.960877Z"},"content_sha256":"c7c1366a68549fc0adafe1825c69bd0911eedd6975f47c265bf936a238784009","schema_version":"1.0","event_id":"sha256:c7c1366a68549fc0adafe1825c69bd0911eedd6975f47c265bf936a238784009"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI/bundle.json","state_url":"https://pith.science/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI/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":"2026-07-07T08:04:23Z","links":{"resolver":"https://pith.science/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI","bundle":"https://pith.science/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI/bundle.json","state":"https://pith.science/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TA4RNBYXB6D3VPT4QKQ2EI76DI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:TA4RNBYXB6D3VPT4QKQ2EI76DI","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":"c811e1333d889743acafea5e6c3b8c4b9bbf74d0d8634f5073f3973df02970e0","cross_cats_sorted":["math.OC","physics.comp-ph","physics.data-an","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2022-07-04T14:51:59Z","title_canon_sha256":"5355378ee2b2e9c9a157e45e4517fba6c9a22a54c81564a97f6abd5504f089d9"},"schema_version":"1.0","source":{"id":"2207.01466","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01466","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01466v2","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01466","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"TA4RNBYXB6D3","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"TA4RNBYXB6D3VPT4","created_at":"2026-07-05T05:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"TA4RNBYX","created_at":"2026-07-05T05:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:c7c1366a68549fc0adafe1825c69bd0911eedd6975f47c265bf936a238784009","target":"graph","created_at":"2026-07-05T05:30:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.01466/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate a physics-informed compressed sensing (PICS) method for the reconstruction of velocity fields from noisy and sparse phase-contrast magnetic resonance signals. The method solves an inverse Navier-Stokes boundary value problem, which permits us to jointly reconstruct and segment the velocity field, and at the same time infer hidden quantities such as the hydrodynamic pressure and the wall shear stress. Using a Bayesian framework, we regularize the problem by introducing a priori information about the unknown parameters in the form of Gaussian random fields. This prior information is","authors_text":"Alexandros Kontogiannis, Matthew P. Juniper","cross_cats":["math.OC","physics.comp-ph","physics.data-an","physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2022-07-04T14:51:59Z","title":"Physics-informed compressed sensing for PC-MRI: an inverse Navier-Stokes problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01466","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:ff1e9c2db4a0854e00c76f0b7739666527836f8fbe67171c1b5d25f2c85a0795","target":"record","created_at":"2026-07-05T05:30:09Z","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":"c811e1333d889743acafea5e6c3b8c4b9bbf74d0d8634f5073f3973df02970e0","cross_cats_sorted":["math.OC","physics.comp-ph","physics.data-an","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2022-07-04T14:51:59Z","title_canon_sha256":"5355378ee2b2e9c9a157e45e4517fba6c9a22a54c81564a97f6abd5504f089d9"},"schema_version":"1.0","source":{"id":"2207.01466","kind":"arxiv","version":2}},"canonical_sha256":"98391687170f87babe7c82a1a223fe1a273d7b55e42c0804fa8a844be84ffa1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98391687170f87babe7c82a1a223fe1a273d7b55e42c0804fa8a844be84ffa1f","first_computed_at":"2026-07-05T05:30:09.636092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:09.636092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZoG29h2Y+j36IoOqBOr82TMNWDTZ9Fr6SyyQe5uTySrIL4LanmCwd1E/ws4oSX5zFgbkdwtzqX2khXx+O8WxBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:09.636572Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.01466","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff1e9c2db4a0854e00c76f0b7739666527836f8fbe67171c1b5d25f2c85a0795","sha256:c7c1366a68549fc0adafe1825c69bd0911eedd6975f47c265bf936a238784009"],"state_sha256":"2c70273c20f168787bb340bc74c3eecbaf4f50683bb90e545700b6acbd0053de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XZ/N5QMi/i2qTzZ1cubZzHwwjEpF9+gAq9JysSmjXgcRwleiQ46CfewY7hh3YNuJpXlzHHAYfOmtaroHRaRFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T08:04:23.962833Z","bundle_sha256":"f287815bb6b4f2c4a518b5020e20d24ff99527b79ba5622d42296185917ea003"}}