{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XSAMKVGLWYGWSEI7SGWDRE6D7C","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":"8e373bda0722dbbb205fa5f39a89d319be5501bb6db016d0a38d25acfff998da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-01-29T18:38:02Z","title_canon_sha256":"48c9adab37cac1d379e61504c24d39b9f702e9a6cffc855e16c8bac019cb7042"},"schema_version":"1.0","source":{"id":"2601.22107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.22107","created_at":"2026-06-19T16:12:18Z"},{"alias_kind":"arxiv_version","alias_value":"2601.22107v2","created_at":"2026-06-19T16:12:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.22107","created_at":"2026-06-19T16:12:18Z"},{"alias_kind":"pith_short_12","alias_value":"XSAMKVGLWYGW","created_at":"2026-06-19T16:12:18Z"},{"alias_kind":"pith_short_16","alias_value":"XSAMKVGLWYGWSEI7","created_at":"2026-06-19T16:12:18Z"},{"alias_kind":"pith_short_8","alias_value":"XSAMKVGL","created_at":"2026-06-19T16:12:18Z"}],"graph_snapshots":[{"event_id":"sha256:d567763337e45f726bee6963002b4953cf1b5a5cfc4b3e6fb4fd182244040507","target":"graph","created_at":"2026-06-19T16:12:18Z","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/2601.22107/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce \\textit{Prior-Informed Flow Matching (PIFM)}, a conditional flow model for graph reconstruction. Reconstructing graphs from partial observations remains a key challenge; classical embedding methods often lack global consistency, while modern generative models struggle to incorporate structural priors. PIFM bridges this gap by integrating embedding-based priors with continuous-time flow matching. Grounded in a permutation equivariant version of the distortion-perception theory, our method first uses a prior, such as GraphSAGE or node2vec, to form an informed initial estimate of the","authors_text":"Harvey Chen, Nicolas Zilberstein, Santiago Segarra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-01-29T18:38:02Z","title":"Prior-Informed Flow Matching for Graph Reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.22107","kind":"arxiv","version":2},"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":"sha256:8832e129ba6327f4bdfd862e1ebffda8b24798f30fd270672996eb623a8c54b3","target":"record","created_at":"2026-06-19T16:12:18Z","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":"8e373bda0722dbbb205fa5f39a89d319be5501bb6db016d0a38d25acfff998da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-01-29T18:38:02Z","title_canon_sha256":"48c9adab37cac1d379e61504c24d39b9f702e9a6cffc855e16c8bac019cb7042"},"schema_version":"1.0","source":{"id":"2601.22107","kind":"arxiv","version":2}},"canonical_sha256":"bc80c554cbb60d69111f91ac3893c3f8972d7f808817c51531f759bb62f14007","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc80c554cbb60d69111f91ac3893c3f8972d7f808817c51531f759bb62f14007","first_computed_at":"2026-06-19T16:12:18.147771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:18.147771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RqIo5U02lJiYGIYgvGeuathFI06jGOrT95EFPfW52MzuX1rbZX5UrOH1ukEGuWjd+as86WIcYICytPKVSE1CDw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:18.148159Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.22107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8832e129ba6327f4bdfd862e1ebffda8b24798f30fd270672996eb623a8c54b3","sha256:d567763337e45f726bee6963002b4953cf1b5a5cfc4b3e6fb4fd182244040507"],"state_sha256":"965a9460e0e95352ab301bd9a111f954d650a9d74e26d77a3caa5cc197360ba5"}