{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A7NRA3OPMRT2NBDBUKTUC3GTRE","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":"09bfc0a3acabd3bea1859a903eaeb9545ab2e7811f75634e44008a4287b1f5a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-09T03:30:04Z","title_canon_sha256":"4be3617114629989f6a7919976b26c22abb2494ed10e656381582125fef46154"},"schema_version":"1.0","source":{"id":"2606.10370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10370","created_at":"2026-06-10T01:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10370v1","created_at":"2026-06-10T01:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10370","created_at":"2026-06-10T01:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"A7NRA3OPMRT2","created_at":"2026-06-10T01:10:14Z"},{"alias_kind":"pith_short_16","alias_value":"A7NRA3OPMRT2NBDB","created_at":"2026-06-10T01:10:14Z"},{"alias_kind":"pith_short_8","alias_value":"A7NRA3OP","created_at":"2026-06-10T01:10:14Z"}],"graph_snapshots":[{"event_id":"sha256:ee7ecff032b2f67c3cc27752d4edb05c853fbc164e8433e713f8e6b07da59263","target":"graph","created_at":"2026-06-10T01:10:14Z","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/2606.10370/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bayesian inference provides a principled framework for uncertainty quantification in scientific machine learning. However, conventional Bayesian approaches usually require solving a new inference problem for each observation set, causing substantial computational costs that hinder real-time applications like online monitoring and digital twins. Furthermore, inferring over infinite-dimensional function spaces with varying observation sets poses major challenges for existing amortized inference methods. In this work, we propose Flow-ABI, a flow-based generative framework for amortized Bayesian i","authors_text":"Ling Guo, Shaoqian Zhou, Xuhui Meng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-09T03:30:04Z","title":"Flow-based generative models for amortized Bayesian inference in regression and inverse PDE problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10370","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:c624e61845da3c6ec1f1435e956dbfa399227dc3deedcd5b7740d78bf2168945","target":"record","created_at":"2026-06-10T01:10:14Z","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":"09bfc0a3acabd3bea1859a903eaeb9545ab2e7811f75634e44008a4287b1f5a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-09T03:30:04Z","title_canon_sha256":"4be3617114629989f6a7919976b26c22abb2494ed10e656381582125fef46154"},"schema_version":"1.0","source":{"id":"2606.10370","kind":"arxiv","version":1}},"canonical_sha256":"07db106dcf6467a68461a2a7416cd3893968ae14c6819d7d9e52531ce34ada23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07db106dcf6467a68461a2a7416cd3893968ae14c6819d7d9e52531ce34ada23","first_computed_at":"2026-06-10T01:10:14.281603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:14.281603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MkocDMQV06N/XiV0UsSk9cO55ueDTNgUOdzJbW3yELxseQtf9qjBUV49Qw9k25kxbrs8Rd+LEy5i5yw5aIHEDA==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:14.282391Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c624e61845da3c6ec1f1435e956dbfa399227dc3deedcd5b7740d78bf2168945","sha256:ee7ecff032b2f67c3cc27752d4edb05c853fbc164e8433e713f8e6b07da59263"],"state_sha256":"e84dcc0859cb098d5be8052a9113cedc52d9e3f77f1c247bf09135a8adf2a398"}