{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FTJWIZUVVUYG4MW73BMC22VEAG","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9120740479d517dfcca05079458143e4c9f21571504fb8b4bdea61fc6806bb4e","cross_cats_sorted":["q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.IV","submitted_at":"2026-07-08T10:25:21Z","title_canon_sha256":"7c9079628b8a7397b62bbe9b2aa960fb1834f56dd73f94b2e4f92fe8df41e398"},"schema_version":"1.0","source":{"id":"2607.07749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07749","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07749v1","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07749","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"FTJWIZUVVUYG","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"FTJWIZUVVUYG4MW7","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"FTJWIZUV","created_at":"2026-07-10T00:18:47Z"}],"graph_snapshots":[{"event_id":"sha256:e459ea626567a86e1b2575d738b0e4faef6f95754f2ff5a04bf3558b95cff5e6","target":"graph","created_at":"2026-07-10T00:18:47Z","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/2607.07749/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Energy Matching has emerged as a powerful generative framework that combines flow model efficiency with the explicit likelihood of Energy-Based Models (EBMs) via a single, time-independent scalar potential. However, directly training this potential on high-dimensional 3D data remains computationally challenging. While distilling a pre-trained flow model circumvents some of the initial training costs, we demonstrate that velocity fields inevitably contain non-conservative rotational artifacts (curl). Forcing a strictly conservative scalar potential to match this unconstrained field creates a \"s","authors_text":"Bjoern Menze, Chinmay Prabhakar, Daniel Barco, Frank-Peter Schilling, Michal Balcerak, Philipp Denzel, Suprosanna Shit","cross_cats":["q-bio.QM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.IV","submitted_at":"2026-07-08T10:25:21Z","title":"Projected Energy Matching for Generative 3D Priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07749","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":"sha256:15bf2d600af25dc4f2c4166d4b1cba968ebc6e4725601799f0751d9126f91d51","target":"record","created_at":"2026-07-10T00:18:47Z","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":"9120740479d517dfcca05079458143e4c9f21571504fb8b4bdea61fc6806bb4e","cross_cats_sorted":["q-bio.QM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.IV","submitted_at":"2026-07-08T10:25:21Z","title_canon_sha256":"7c9079628b8a7397b62bbe9b2aa960fb1834f56dd73f94b2e4f92fe8df41e398"},"schema_version":"1.0","source":{"id":"2607.07749","kind":"arxiv","version":1}},"canonical_sha256":"2cd3646695ad306e32dfd8582d6aa401ab7b8dd01bbbacf0bdfe33a8d2ce90ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cd3646695ad306e32dfd8582d6aa401ab7b8dd01bbbacf0bdfe33a8d2ce90ab","first_computed_at":"2026-07-10T00:18:47.833397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T00:18:47.833397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mHX7WXzBlFg4JGT8eyKZEABY/COxz74EocqBhS4sPcah6asEd6iGsXqeIDMAw53+l5D7xORbEGPhkP6l0ejQAg==","signature_status":"signed_v1","signed_at":"2026-07-10T00:18:47.833838Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15bf2d600af25dc4f2c4166d4b1cba968ebc6e4725601799f0751d9126f91d51","sha256:e459ea626567a86e1b2575d738b0e4faef6f95754f2ff5a04bf3558b95cff5e6","sha256:1ab638d170b061bd85d6e36a3c3a797e78986bf38803ee6a9313e5fd19a9cbf1"],"state_sha256":"6ad6a6caf44d2ded7f65b2c0f9c92f96b1052265b9bcbc24bff34fb76cba7e7e"}