{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XTK5W5UUJCTFUG6QAPSJ3Q7SCO","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":"4f2c704d53fae3d48a2c96b07a4b205da97ad518ba53d1eefba8710906351a09","cross_cats_sorted":["hep-ph","nucl-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-02-06T06:14:34Z","title_canon_sha256":"1e9e564cb26ef030a38c04a0c4d0c3b8611cb66dacee94239ed03b8792f2f0e5"},"schema_version":"1.0","source":{"id":"1102.1130","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1130","created_at":"2026-05-18T04:23:21Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1130v2","created_at":"2026-05-18T04:23:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1130","created_at":"2026-05-18T04:23:21Z"},{"alias_kind":"pith_short_12","alias_value":"XTK5W5UUJCTF","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XTK5W5UUJCTFUG6Q","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XTK5W5UU","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:194b218eb3fa2bb437fca1f253ef32d187f9121a7bb518641432b0fa4d3d333d","target":"graph","created_at":"2026-05-18T04:23:21Z","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"},"paper":{"abstract_excerpt":"~Based on the gauge invariant quark canonical momentum we construct two theoretically possible decompositions of nucleon momentum to those of quarks and gluons. We predict that either 6% or 21% of nucleon momentum is carried by gluons, depending on what type of gluons are in nucleons. We clarify the existing confusions on this problem and discuss the physical implications of our result on the proton spin crisis problem.","authors_text":"D.G. Pak, Mo-Lin Ge, Pengming Zhang, Y.M. Cho","cross_cats":["hep-ph","nucl-ex"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-02-06T06:14:34Z","title":"Nucleon Momentum Decomposition in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1130","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":"sha256:26f81c96adb142fc772735af704d5875879bdff8eab2f293841de67ee562daf8","target":"record","created_at":"2026-05-18T04:23:21Z","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":"4f2c704d53fae3d48a2c96b07a4b205da97ad518ba53d1eefba8710906351a09","cross_cats_sorted":["hep-ph","nucl-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-02-06T06:14:34Z","title_canon_sha256":"1e9e564cb26ef030a38c04a0c4d0c3b8611cb66dacee94239ed03b8792f2f0e5"},"schema_version":"1.0","source":{"id":"1102.1130","kind":"arxiv","version":2}},"canonical_sha256":"bcd5db769448a65a1bd003e49dc3f2139a116a2d34ffb810155acd1da9fb88fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcd5db769448a65a1bd003e49dc3f2139a116a2d34ffb810155acd1da9fb88fb","first_computed_at":"2026-05-18T04:23:21.049866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:21.049866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KNkVeaitQO1qCqfr/cMRQ9nDCjS1RbEv6Gjlm87pexWYkhfb8qDOQttpvzLrl8tUXIeKJClYczOs7Vga9Yu7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:21.050552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1130","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26f81c96adb142fc772735af704d5875879bdff8eab2f293841de67ee562daf8","sha256:194b218eb3fa2bb437fca1f253ef32d187f9121a7bb518641432b0fa4d3d333d"],"state_sha256":"ff691c224d892f44a482e477d1fb06e715cc7dbc20a0ff91484cb92cf686f698"}