{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:C75CKWXVD6OAV72DZ2ODBPTTZW","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":"7acb2a54e86d0019e91ba191d25c5a153bdf1f1dc01981ccfb75df407750cf57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-02-03T19:21:07Z","title_canon_sha256":"e2c8b88cd5d6dfcf6992f5867a2a64a346c90d9dadba1d29c6d903b6e2a5a0be"},"schema_version":"1.0","source":{"id":"2202.01803","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.01803","created_at":"2026-07-05T04:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"2202.01803v3","created_at":"2026-07-05T04:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01803","created_at":"2026-07-05T04:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"C75CKWXVD6OA","created_at":"2026-07-05T04:18:17Z"},{"alias_kind":"pith_short_16","alias_value":"C75CKWXVD6OAV72D","created_at":"2026-07-05T04:18:17Z"},{"alias_kind":"pith_short_8","alias_value":"C75CKWXV","created_at":"2026-07-05T04:18:17Z"}],"graph_snapshots":[{"event_id":"sha256:f3ab5b122492a127d02c22e293222cbff1a26435ef462ba7dfdbc48591ccd55d","target":"graph","created_at":"2026-07-05T04:18:17Z","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/2202.01803/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In QCD with $N_c$ colors the anti-symmetric valence quark color space singlet state $\\sim \\epsilon_{i_1\\cdots i_{N_c}} |i_1,\\cdots, i_{N_c}\\rangle$ of the proton corresponds to the reduced density matrix $\\rho_{ij}=(1/N_c) \\delta_{ij}$ for a single color degree of freedom. Its degenerate spectrum of eigenvalues, $\\lambda_i=1/N_c$, the purity $\\mathrm{tr}~\\rho^2 = 1/N_c$, and the von~Neumann entropy $S_\\mathrm{vN}=\\log(N_c)$ all indicate maximal entanglement of color. On the other hand, for $N_c\\to\\infty$ the spatial wave function of the proton factorizes into valence quark wave functions deter","authors_text":"Adrian Dumitru, Eric Kolbusz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-02-03T19:21:07Z","title":"Quark and gluon entanglement in the proton on the light cone at intermediate $x$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01803","kind":"arxiv","version":3},"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":"sha256:861420474306df9ec48766016e7105ad979393b66431ce96a13d1c247aa2c97a","target":"record","created_at":"2026-07-05T04:18:17Z","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":"7acb2a54e86d0019e91ba191d25c5a153bdf1f1dc01981ccfb75df407750cf57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-02-03T19:21:07Z","title_canon_sha256":"e2c8b88cd5d6dfcf6992f5867a2a64a346c90d9dadba1d29c6d903b6e2a5a0be"},"schema_version":"1.0","source":{"id":"2202.01803","kind":"arxiv","version":3}},"canonical_sha256":"17fa255af51f9c0aff43ce9c30be73cdad443c139f84564bd31e101165df3285","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17fa255af51f9c0aff43ce9c30be73cdad443c139f84564bd31e101165df3285","first_computed_at":"2026-07-05T04:18:17.488125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:18:17.488125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g7ZiQfhULv7a2E4jtg1W84HX0B8PkkwLsagF1mOetREDT8RvtVHB4x4VPC5TTHWeB6f59ySnaaQCfpn2NQCVAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:18:17.488589Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.01803","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:861420474306df9ec48766016e7105ad979393b66431ce96a13d1c247aa2c97a","sha256:f3ab5b122492a127d02c22e293222cbff1a26435ef462ba7dfdbc48591ccd55d"],"state_sha256":"6b08d42aad45aeae733e573e471adf5e22e66782a35e9728663c4e50f9a5527b"}