{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UOUYZDMWH7VMPZUTDAZOCAOUVO","short_pith_number":"pith:UOUYZDMW","canonical_record":{"source":{"id":"2607.25282","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-07-28T04:40:25Z","cross_cats_sorted":["cs.LG","hep-ph"],"title_canon_sha256":"de1a455127213fcdb98a9fe7fca24254ca2bfdad4220f1e6b9a74824a115372c","abstract_canon_sha256":"ff7064bea6809364a59e0a263ad55c088fa1c5c7d718449645025e0eb1deb2ef"},"schema_version":"1.0"},"canonical_sha256":"a3a98c8d963feac7e6931832e101d4abbdfc85359a3fd8da7db28d915ff5e463","source":{"kind":"arxiv","id":"2607.25282","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25282","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25282v1","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25282","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"pith_short_12","alias_value":"UOUYZDMWH7VM","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"pith_short_16","alias_value":"UOUYZDMWH7VMPZUT","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"pith_short_8","alias_value":"UOUYZDMW","created_at":"2026-07-29T01:25:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UOUYZDMWH7VMPZUTDAZOCAOUVO","target":"record","payload":{"canonical_record":{"source":{"id":"2607.25282","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-07-28T04:40:25Z","cross_cats_sorted":["cs.LG","hep-ph"],"title_canon_sha256":"de1a455127213fcdb98a9fe7fca24254ca2bfdad4220f1e6b9a74824a115372c","abstract_canon_sha256":"ff7064bea6809364a59e0a263ad55c088fa1c5c7d718449645025e0eb1deb2ef"},"schema_version":"1.0"},"canonical_sha256":"a3a98c8d963feac7e6931832e101d4abbdfc85359a3fd8da7db28d915ff5e463","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T01:25:04.920519Z","signature_b64":"c0OVb6PPdrqUcj2j0GHr69KcKcIF4vriMFmyJSuqIns0gqfRK0jd0x0lJ82u3fZkRhRfWCPX/WYoFuPoBUO3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3a98c8d963feac7e6931832e101d4abbdfc85359a3fd8da7db28d915ff5e463","last_reissued_at":"2026-07-29T01:25:04.919563Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T01:25:04.919563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.25282","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":"2026-07-29T01:25:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HnvEh0rCfAWgt45C7t5rNCv4hPGSnmaSFSmdUgARvefPM+3DwkHtCWeBzmydHjxjAgP25DB6bLjn9RleWuZhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T19:01:06.907762Z"},"content_sha256":"a8097b6c1db1b504d7444743063aad19dbe9b828e0cc6755a2c1f27b5b4a9658","schema_version":"1.0","event_id":"sha256:a8097b6c1db1b504d7444743063aad19dbe9b828e0cc6755a2c1f27b5b4a9658"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UOUYZDMWH7VMPZUTDAZOCAOUVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Normalizing Flows to Reconstruct Pseudo-PDFs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","hep-ph"],"primary_cat":"hep-lat","authors_text":"Kostas Orginos, Yamil Cahuana Medrano","submitted_at":"2026-07-28T04:40:25Z","abstract_excerpt":"We investigate a normalizing-flow approach for reconstructing parton distribution functions (PDFs) from synthetic matrix-element data. Our framework combines Gaussian Process priors with invertible neural networks to learn a posterior distribution over PDFs consistent with limited Ioffe-time data. We demonstrate that the architecture preserves physical constraints and extrapolation properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25282","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/2607.25282/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":"2026-07-29T01:25:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPXN5w1+bmWC8H3lGFKlM4TUpBFEdYtbnGaqry3VtfW0Fs9BS7L1kpzatV/SDDZnCqqAe4WbjoJk5V1U/YW2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T19:01:06.908512Z"},"content_sha256":"bdf3f6f7a32b4643c434f3163e996443acb7935a0b79db4b34841b286c7610db","schema_version":"1.0","event_id":"sha256:bdf3f6f7a32b4643c434f3163e996443acb7935a0b79db4b34841b286c7610db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO/bundle.json","state_url":"https://pith.science/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO/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":"2026-08-02T19:01:06Z","links":{"resolver":"https://pith.science/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO","bundle":"https://pith.science/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO/bundle.json","state":"https://pith.science/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOUYZDMWH7VMPZUTDAZOCAOUVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UOUYZDMWH7VMPZUTDAZOCAOUVO","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":"ff7064bea6809364a59e0a263ad55c088fa1c5c7d718449645025e0eb1deb2ef","cross_cats_sorted":["cs.LG","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-07-28T04:40:25Z","title_canon_sha256":"de1a455127213fcdb98a9fe7fca24254ca2bfdad4220f1e6b9a74824a115372c"},"schema_version":"1.0","source":{"id":"2607.25282","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25282","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25282v1","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25282","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"pith_short_12","alias_value":"UOUYZDMWH7VM","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"pith_short_16","alias_value":"UOUYZDMWH7VMPZUT","created_at":"2026-07-29T01:25:04Z"},{"alias_kind":"pith_short_8","alias_value":"UOUYZDMW","created_at":"2026-07-29T01:25:04Z"}],"graph_snapshots":[{"event_id":"sha256:bdf3f6f7a32b4643c434f3163e996443acb7935a0b79db4b34841b286c7610db","target":"graph","created_at":"2026-07-29T01:25:04Z","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/2607.25282/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a normalizing-flow approach for reconstructing parton distribution functions (PDFs) from synthetic matrix-element data. Our framework combines Gaussian Process priors with invertible neural networks to learn a posterior distribution over PDFs consistent with limited Ioffe-time data. We demonstrate that the architecture preserves physical constraints and extrapolation properties.","authors_text":"Kostas Orginos, Yamil Cahuana Medrano","cross_cats":["cs.LG","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-07-28T04:40:25Z","title":"Normalizing Flows to Reconstruct Pseudo-PDFs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25282","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:a8097b6c1db1b504d7444743063aad19dbe9b828e0cc6755a2c1f27b5b4a9658","target":"record","created_at":"2026-07-29T01:25:04Z","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":"ff7064bea6809364a59e0a263ad55c088fa1c5c7d718449645025e0eb1deb2ef","cross_cats_sorted":["cs.LG","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-07-28T04:40:25Z","title_canon_sha256":"de1a455127213fcdb98a9fe7fca24254ca2bfdad4220f1e6b9a74824a115372c"},"schema_version":"1.0","source":{"id":"2607.25282","kind":"arxiv","version":1}},"canonical_sha256":"a3a98c8d963feac7e6931832e101d4abbdfc85359a3fd8da7db28d915ff5e463","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3a98c8d963feac7e6931832e101d4abbdfc85359a3fd8da7db28d915ff5e463","first_computed_at":"2026-07-29T01:25:04.919563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:25:04.919563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c0OVb6PPdrqUcj2j0GHr69KcKcIF4vriMFmyJSuqIns0gqfRK0jd0x0lJ82u3fZkRhRfWCPX/WYoFuPoBUO3Cg==","signature_status":"signed_v1","signed_at":"2026-07-29T01:25:04.920519Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25282","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8097b6c1db1b504d7444743063aad19dbe9b828e0cc6755a2c1f27b5b4a9658","sha256:bdf3f6f7a32b4643c434f3163e996443acb7935a0b79db4b34841b286c7610db"],"state_sha256":"ae7d59dfb5304f65e64fa2907bd6e5b70dcd963de67532f170457eab63a36047"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KL8+LCXn7GXEXE2NjzqxIjIowEzOj8WR/vczJQyrRPWVAkhCbJ0auBPBm3EfCc7wTxEh/PyPPWJ+6ry6QPBqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T19:01:06.913339Z","bundle_sha256":"36ef0177ca9944084e5a8770cbaf07d67932a82f65eb0a237bfe38aba909f9e9"}}