{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:EVATEU4IGM6YIBNNBBZMUZBKUI","short_pith_number":"pith:EVATEU4I","schema_version":"1.0","canonical_sha256":"2541325388333d8405ad0872ca642aa21d9e21d48967f27015b8edff8951bc51","source":{"kind":"arxiv","id":"2304.08564","version":1},"attestation_state":"computed","paper":{"title":"Entanglement entropy of the proton in coordinate space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Adrian Dumitru, Alex Kovner, Vladimir V. Skokov","submitted_at":"2023-04-17T19:01:45Z","abstract_excerpt":"We calculate the entanglement entropy of a model proton wave function in coordinate space by integrating out degrees of freedom outside a small circular region $\\bar A$ of radius $L$, where $L$ is much smaller than the size of the proton. The wave function provides a nonperturbative distribution of three valence quarks. In addition, we include the perturbative emission of a single gluon and calculate the entanglement entropy of gluons in $\\bar A$. For both, quarks and gluons we obtain the same simple result: $S_E =-\\int\\frac{dx}{\\Delta x}\\, N_{L^2}(x)\\log[N_{a^2}(x)]$, where $a$ is the UV cuto"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2304.08564","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-04-17T19:01:45Z","cross_cats_sorted":[],"title_canon_sha256":"80f6e3634c33b74e9ec18ecb90bab1059793d6901aba27da49da46360ed5bca5","abstract_canon_sha256":"b22e03f681d7aaf26c085a3730e08d70df1f7608fb5bd0c310d2d7dc51b16c34"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:30:57.982663Z","signature_b64":"XSKhMouzMQzd6ZSiVMSdumbUM5RRHFUvvCNyeflcXUjjhRJuX0+LTGvkrWqclZ0vBB7mXvF2FAqGzJuZr7DyDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2541325388333d8405ad0872ca642aa21d9e21d48967f27015b8edff8951bc51","last_reissued_at":"2026-07-05T06:30:57.982175Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:30:57.982175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement entropy of the proton in coordinate space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Adrian Dumitru, Alex Kovner, Vladimir V. Skokov","submitted_at":"2023-04-17T19:01:45Z","abstract_excerpt":"We calculate the entanglement entropy of a model proton wave function in coordinate space by integrating out degrees of freedom outside a small circular region $\\bar A$ of radius $L$, where $L$ is much smaller than the size of the proton. The wave function provides a nonperturbative distribution of three valence quarks. In addition, we include the perturbative emission of a single gluon and calculate the entanglement entropy of gluons in $\\bar A$. For both, quarks and gluons we obtain the same simple result: $S_E =-\\int\\frac{dx}{\\Delta x}\\, N_{L^2}(x)\\log[N_{a^2}(x)]$, where $a$ is the UV cuto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.08564","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/2304.08564/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2304.08564","created_at":"2026-07-05T06:30:57.982233+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.08564v1","created_at":"2026-07-05T06:30:57.982233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.08564","created_at":"2026-07-05T06:30:57.982233+00:00"},{"alias_kind":"pith_short_12","alias_value":"EVATEU4IGM6Y","created_at":"2026-07-05T06:30:57.982233+00:00"},{"alias_kind":"pith_short_16","alias_value":"EVATEU4IGM6YIBNN","created_at":"2026-07-05T06:30:57.982233+00:00"},{"alias_kind":"pith_short_8","alias_value":"EVATEU4I","created_at":"2026-07-05T06:30:57.982233+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI","json":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI.json","graph_json":"https://pith.science/api/pith-number/EVATEU4IGM6YIBNNBBZMUZBKUI/graph.json","events_json":"https://pith.science/api/pith-number/EVATEU4IGM6YIBNNBBZMUZBKUI/events.json","paper":"https://pith.science/paper/EVATEU4I"},"agent_actions":{"view_html":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI","download_json":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI.json","view_paper":"https://pith.science/paper/EVATEU4I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.08564&json=true","fetch_graph":"https://pith.science/api/pith-number/EVATEU4IGM6YIBNNBBZMUZBKUI/graph.json","fetch_events":"https://pith.science/api/pith-number/EVATEU4IGM6YIBNNBBZMUZBKUI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI/action/storage_attestation","attest_author":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI/action/author_attestation","sign_citation":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI/action/citation_signature","submit_replication":"https://pith.science/pith/EVATEU4IGM6YIBNNBBZMUZBKUI/action/replication_record"}},"created_at":"2026-07-05T06:30:57.982233+00:00","updated_at":"2026-07-05T06:30:57.982233+00:00"}