{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4F7S37A5Y2ABYHY5MRJCBOBEHK","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":"aed6de40e262d0dc8d39fd16078559fd47124ed768f91945e59220c4c0565e1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2018-12-22T16:38:18Z","title_canon_sha256":"409485ad3c12a34bd30bc805413ea9b4fcedbbcaa2a72cce433411837f99993f"},"schema_version":"1.0","source":{"id":"1812.09560","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09560","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09560v1","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09560","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"pith_short_12","alias_value":"4F7S37A5Y2AB","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"pith_short_16","alias_value":"4F7S37A5Y2ABYHY5","created_at":"2026-07-05T02:05:21Z"},{"alias_kind":"pith_short_8","alias_value":"4F7S37A5","created_at":"2026-07-05T02:05:21Z"}],"graph_snapshots":[{"event_id":"sha256:7c71ff57c6bfb1e7e40c8aa17294fd5e8892f063446ab8959d3faef184367c08","target":"graph","created_at":"2026-07-05T02:05:21Z","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/1812.09560/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Purpose: To develop a method that adaptively generates tiny dictionaries for joint T1-T2 mapping.\n  Theory: This work breaks the bond between dictionary size and representation accuracy (i) by approximating the Bloch-response manifold by piece-wise linear functions and (ii) by adaptively refining the sampling grid depending on the locally-linear approximation error.\n  Methods: Data acquisition was accomplished with use of an 2D radially sampled Inversion-Recovery Hybrid-State Free Precession sequence. Adaptive dictionaries are generated with different error tolerances and compared to a heurist","authors_text":"Jens Frahm, Martin Uecker, Volkert Roeloffs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2018-12-22T16:38:18Z","title":"Joint T1 and T2 Mapping with Tiny Dictionaries and Subspace-Constrained Reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09560","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:a9ae0eba9b47934f52da564854355a722ea984fa5c5e41b759a190b6723c7089","target":"record","created_at":"2026-07-05T02:05:21Z","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":"aed6de40e262d0dc8d39fd16078559fd47124ed768f91945e59220c4c0565e1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2018-12-22T16:38:18Z","title_canon_sha256":"409485ad3c12a34bd30bc805413ea9b4fcedbbcaa2a72cce433411837f99993f"},"schema_version":"1.0","source":{"id":"1812.09560","kind":"arxiv","version":1}},"canonical_sha256":"e17f2dfc1dc6801c1f1d645220b8243aacf3bec93908aa30c4b2728ac4546b43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e17f2dfc1dc6801c1f1d645220b8243aacf3bec93908aa30c4b2728ac4546b43","first_computed_at":"2026-07-05T02:05:21.900746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:05:21.900746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5sgaO3aDNgtPOlUHeMHrSrNy8ZJz4D46lOwywCz7++vMhnCtxQsjRHbWA4W5XBuy0SMLr+KoD1CPGqmaQvsaCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:05:21.901207Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09560","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9ae0eba9b47934f52da564854355a722ea984fa5c5e41b759a190b6723c7089","sha256:7c71ff57c6bfb1e7e40c8aa17294fd5e8892f063446ab8959d3faef184367c08"],"state_sha256":"10446563eeda11ef2e8fd13f42ea68e1bd2bbeb33cc1db85647246c6b97dd425"}