{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:F5ES7ZUCXHZMAA3QJRYQZUJBNF","short_pith_number":"pith:F5ES7ZUC","canonical_record":{"source":{"id":"2406.13652","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-06-19T15:55:12Z","cross_cats_sorted":[],"title_canon_sha256":"bd0063f9ba955e8ff7e4caedc21221b3c49c4c1e2439cde3118936e029039590","abstract_canon_sha256":"5bbfa13952d8665d38fba26679db4095e52ae0ff2bb557a3bbf5d583c1f72504"},"schema_version":"1.0"},"canonical_sha256":"2f492fe682b9f2c003704c710cd121695205a636af4aba82bc7495fdf86eb146","source":{"kind":"arxiv","id":"2406.13652","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.13652","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"2406.13652v1","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.13652","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"F5ES7ZUCXHZM","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"pith_short_16","alias_value":"F5ES7ZUCXHZMAA3Q","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"pith_short_8","alias_value":"F5ES7ZUC","created_at":"2026-07-05T08:34:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:F5ES7ZUCXHZMAA3QJRYQZUJBNF","target":"record","payload":{"canonical_record":{"source":{"id":"2406.13652","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-06-19T15:55:12Z","cross_cats_sorted":[],"title_canon_sha256":"bd0063f9ba955e8ff7e4caedc21221b3c49c4c1e2439cde3118936e029039590","abstract_canon_sha256":"5bbfa13952d8665d38fba26679db4095e52ae0ff2bb557a3bbf5d583c1f72504"},"schema_version":"1.0"},"canonical_sha256":"2f492fe682b9f2c003704c710cd121695205a636af4aba82bc7495fdf86eb146","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:34:32.771703Z","signature_b64":"91N66ArEGXsJFBfNpYFqjCCOJaSqir8A1iFjbrSURuDidw0FLRdprdhgMpdhXL+O1t1P/p3tpFgewNBMXYbtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f492fe682b9f2c003704c710cd121695205a636af4aba82bc7495fdf86eb146","last_reissued_at":"2026-07-05T08:34:32.771133Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:34:32.771133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.13652","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":"2026-07-05T08:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ID72FmOhSYEHa4zcOUYyaEDxQo0xiBzuBsZ3vdlRnZERtzFFnxNz/UsKUmxms51KIG39B0kQtR9z3KF2ZetQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T20:49:36.788237Z"},"content_sha256":"75b9bacfaf10cefd4b1e752db9390068aacbb16e5c413dbd9c25cbf9b85ca7bd","schema_version":"1.0","event_id":"sha256:75b9bacfaf10cefd4b1e752db9390068aacbb16e5c413dbd9c25cbf9b85ca7bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:F5ES7ZUCXHZMAA3QJRYQZUJBNF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability and Generalizability in SDE Diffusion Models with Measure-Preserving Dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Bernhard Kainz, Cheng Ouyang, Chengqi Zang, Liu Li, Sarah Cechnicka, Weitong Zhang","submitted_at":"2024-06-19T15:55:12Z","abstract_excerpt":"Inverse problems describe the process of estimating the causal factors from a set of measurements or data. Mapping of often incomplete or degraded data to parameters is ill-posed, thus data-driven iterative solutions are required, for example when reconstructing clean images from poor signals. Diffusion models have shown promise as potent generative tools for solving inverse problems due to their superior reconstruction quality and their compatibility with iterative solvers. However, most existing approaches are limited to linear inverse problems represented as Stochastic Differential Equation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.13652","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.13652/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":"2026-07-05T08:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1nTLCwXhpTm+BSzn/YzS2hBDMx1Y6IjPTg84LbADu2bH8XhBl8hvmifuBLHYpEmk09tdwVDPhrL0h461Hc+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T20:49:36.788847Z"},"content_sha256":"60e9cd3f2f9e55d0a9ef8fc96270a56e56059d392179cc92564fd50d295594e0","schema_version":"1.0","event_id":"sha256:60e9cd3f2f9e55d0a9ef8fc96270a56e56059d392179cc92564fd50d295594e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF/bundle.json","state_url":"https://pith.science/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF/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":"2026-08-06T20:49:36Z","links":{"resolver":"https://pith.science/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF","bundle":"https://pith.science/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF/bundle.json","state":"https://pith.science/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F5ES7ZUCXHZMAA3QJRYQZUJBNF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:F5ES7ZUCXHZMAA3QJRYQZUJBNF","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":"5bbfa13952d8665d38fba26679db4095e52ae0ff2bb557a3bbf5d583c1f72504","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-06-19T15:55:12Z","title_canon_sha256":"bd0063f9ba955e8ff7e4caedc21221b3c49c4c1e2439cde3118936e029039590"},"schema_version":"1.0","source":{"id":"2406.13652","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.13652","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"2406.13652v1","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.13652","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"F5ES7ZUCXHZM","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"pith_short_16","alias_value":"F5ES7ZUCXHZMAA3Q","created_at":"2026-07-05T08:34:32Z"},{"alias_kind":"pith_short_8","alias_value":"F5ES7ZUC","created_at":"2026-07-05T08:34:32Z"}],"graph_snapshots":[{"event_id":"sha256:60e9cd3f2f9e55d0a9ef8fc96270a56e56059d392179cc92564fd50d295594e0","target":"graph","created_at":"2026-07-05T08:34:32Z","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/2406.13652/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inverse problems describe the process of estimating the causal factors from a set of measurements or data. Mapping of often incomplete or degraded data to parameters is ill-posed, thus data-driven iterative solutions are required, for example when reconstructing clean images from poor signals. Diffusion models have shown promise as potent generative tools for solving inverse problems due to their superior reconstruction quality and their compatibility with iterative solvers. However, most existing approaches are limited to linear inverse problems represented as Stochastic Differential Equation","authors_text":"Bernhard Kainz, Cheng Ouyang, Chengqi Zang, Liu Li, Sarah Cechnicka, Weitong Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-06-19T15:55:12Z","title":"Stability and Generalizability in SDE Diffusion Models with Measure-Preserving Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.13652","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":"sha256:75b9bacfaf10cefd4b1e752db9390068aacbb16e5c413dbd9c25cbf9b85ca7bd","target":"record","created_at":"2026-07-05T08:34:32Z","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":"5bbfa13952d8665d38fba26679db4095e52ae0ff2bb557a3bbf5d583c1f72504","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-06-19T15:55:12Z","title_canon_sha256":"bd0063f9ba955e8ff7e4caedc21221b3c49c4c1e2439cde3118936e029039590"},"schema_version":"1.0","source":{"id":"2406.13652","kind":"arxiv","version":1}},"canonical_sha256":"2f492fe682b9f2c003704c710cd121695205a636af4aba82bc7495fdf86eb146","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f492fe682b9f2c003704c710cd121695205a636af4aba82bc7495fdf86eb146","first_computed_at":"2026-07-05T08:34:32.771133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:34:32.771133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91N66ArEGXsJFBfNpYFqjCCOJaSqir8A1iFjbrSURuDidw0FLRdprdhgMpdhXL+O1t1P/p3tpFgewNBMXYbtBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:34:32.771703Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.13652","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75b9bacfaf10cefd4b1e752db9390068aacbb16e5c413dbd9c25cbf9b85ca7bd","sha256:60e9cd3f2f9e55d0a9ef8fc96270a56e56059d392179cc92564fd50d295594e0"],"state_sha256":"293c6a3b6f72c8260071f3c48fa703f0f41f8426c93a98eaf5460f9cef36437d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TUebOLpLjWpXEDbALPuD4lU/JmDtgWcja3Er9HWNBffxMFEAtjYGvOpMUEWQBdYnhayqso5UGuxT98lzhUqkCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T20:49:36.793209Z","bundle_sha256":"ab731ae3ed61a3e3f9b72645f8d8a19bb7daa2895aca3c7d91e3a2e28a418036"}}