{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VNMTJ2JYY5TWNCACNTXBVYU7QX","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":"6d411d1726db8ceb334a893a97067cb7ef25841a594d4d54f0e8c6404fbd7834","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2026-07-13T05:26:15Z","title_canon_sha256":"baa3abe7eb1f1b879fde13e6c7cef32cdc64508a99ea6c6795c568d326f6dae8"},"schema_version":"1.0","source":{"id":"2607.11104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11104","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11104v1","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11104","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"VNMTJ2JYY5TW","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_16","alias_value":"VNMTJ2JYY5TWNCAC","created_at":"2026-07-14T01:22:16Z"},{"alias_kind":"pith_short_8","alias_value":"VNMTJ2JY","created_at":"2026-07-14T01:22:16Z"}],"graph_snapshots":[{"event_id":"sha256:8721b74bf11e854856f51b8cc3ffb0eecc820438f152551cad26981f9dceab3d","target":"graph","created_at":"2026-07-14T01:22:16Z","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/2607.11104/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Low-count Positron Emission Tomography (PET) reconstruction is severely hindered by the dissipative nature of prevailing generative models, where the inherent phase-space contraction leads to the numerical extinction (``wash-out'') of weak but diagnostically critical lesion signals. To overcome this geometric limitation, we propose \\textbf{FlowPET}, a physics-informed framework that reformulates reconstruction as volume-preserving transport in a symplectic phase space. By parameterizing the posterior dynamics via a Separable Hamiltonian System, our approach guarantees a divergence-free vector ","authors_text":"Hao Tang, Jing Qin, Yingying Hu, Zhanli Hu, Zheng Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2026-07-13T05:26:15Z","title":"FlowPET: Physics-Informed Symplectic Flow Matching for Low-Count PET Reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11104","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":"sha256:55755b04833d1d9bccc48748ac7c10d4f37194d5b1f3ede4e31b46c8a31d0ddf","target":"record","created_at":"2026-07-14T01:22:16Z","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":"6d411d1726db8ceb334a893a97067cb7ef25841a594d4d54f0e8c6404fbd7834","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2026-07-13T05:26:15Z","title_canon_sha256":"baa3abe7eb1f1b879fde13e6c7cef32cdc64508a99ea6c6795c568d326f6dae8"},"schema_version":"1.0","source":{"id":"2607.11104","kind":"arxiv","version":1}},"canonical_sha256":"ab5934e938c7676688026cee1ae29f85e70383cad29182eb52ddebe2e8dc7ee9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab5934e938c7676688026cee1ae29f85e70383cad29182eb52ddebe2e8dc7ee9","first_computed_at":"2026-07-14T01:22:16.576847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:22:16.576847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mp0GUyBIZJgTq33mRlPA8kRKaxUZkKyjOCt3l/SloTeN1ktukQXryCPItOa7DZHymosrcxCIzeRb/+JJdvY8BA==","signature_status":"signed_v1","signed_at":"2026-07-14T01:22:16.577688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.11104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55755b04833d1d9bccc48748ac7c10d4f37194d5b1f3ede4e31b46c8a31d0ddf","sha256:8721b74bf11e854856f51b8cc3ffb0eecc820438f152551cad26981f9dceab3d"],"state_sha256":"f77e16ed7c2478f0314acbe524b21d70fdd8bce989b0bf9fe4293db0691dbe6b"}