{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MM2K5Y4GCH3HFKGAHLEGAOFAJ6","short_pith_number":"pith:MM2K5Y4G","schema_version":"1.0","canonical_sha256":"6334aee38611f672a8c03ac86038a04fab7cf8e40c9f7bd02cb1625dbf77c744","source":{"kind":"arxiv","id":"1406.4545","version":1},"attestation_state":"computed","paper":{"title":"Entropy on a null surface for interacting quantum field theories and the Bousso bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Horacio Casini, Juan Maldacena, Raphael Bousso, Zachary Fisher","submitted_at":"2014-06-17T21:24:55Z","abstract_excerpt":"We study the vacuum-subtracted von Neumann entropy of a segment on a null plane. We argue that for interacting quantum field theories in more than two dimensions, this entropy has a simple expression in terms of the expectation value of the null components of the stress tensor on the null interval. More explicitly $\\Delta S = 2\\pi \\int d^{d-2}y \\int_0^1 dx^+\\, g(x^+)\\, \\langle T_{++}\\rangle$, where $g(x^+)$ is a theory-dependent function. This function is constrained by general properties of quantum relative entropy. These constraints are enough to extend our recent free field proof of the qua"},"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":"1406.4545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-17T21:24:55Z","cross_cats_sorted":[],"title_canon_sha256":"fe538a65e80984d35249b7f1d64fa0b113300bb5a201aebae6c6579032d94214","abstract_canon_sha256":"60e64848f16fc0f5c57421a4c2b04fb50a3752fc799b2490c1957c32a301b3d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:22.044268Z","signature_b64":"ASSd21YQ+TAPw51sxw9zKDOs8mnyn5sb65hs8H/94lJwLU1seme9vJ1VRRGPs2AFZL0oEw8QgaCjeWeJWaKpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6334aee38611f672a8c03ac86038a04fab7cf8e40c9f7bd02cb1625dbf77c744","last_reissued_at":"2026-05-18T02:18:22.043647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:22.043647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy on a null surface for interacting quantum field theories and the Bousso bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Horacio Casini, Juan Maldacena, Raphael Bousso, Zachary Fisher","submitted_at":"2014-06-17T21:24:55Z","abstract_excerpt":"We study the vacuum-subtracted von Neumann entropy of a segment on a null plane. We argue that for interacting quantum field theories in more than two dimensions, this entropy has a simple expression in terms of the expectation value of the null components of the stress tensor on the null interval. More explicitly $\\Delta S = 2\\pi \\int d^{d-2}y \\int_0^1 dx^+\\, g(x^+)\\, \\langle T_{++}\\rangle$, where $g(x^+)$ is a theory-dependent function. This function is constrained by general properties of quantum relative entropy. These constraints are enough to extend our recent free field proof of the qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4545","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":""},"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":"1406.4545","created_at":"2026-05-18T02:18:22.043725+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.4545v1","created_at":"2026-05-18T02:18:22.043725+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4545","created_at":"2026-05-18T02:18:22.043725+00:00"},{"alias_kind":"pith_short_12","alias_value":"MM2K5Y4GCH3H","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MM2K5Y4GCH3HFKGA","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MM2K5Y4G","created_at":"2026-05-18T12:28:38.356838+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.26247","citing_title":"Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory","ref_index":61,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6","json":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6.json","graph_json":"https://pith.science/api/pith-number/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/graph.json","events_json":"https://pith.science/api/pith-number/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/events.json","paper":"https://pith.science/paper/MM2K5Y4G"},"agent_actions":{"view_html":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6","download_json":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6.json","view_paper":"https://pith.science/paper/MM2K5Y4G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.4545&json=true","fetch_graph":"https://pith.science/api/pith-number/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/graph.json","fetch_events":"https://pith.science/api/pith-number/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/action/storage_attestation","attest_author":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/action/author_attestation","sign_citation":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/action/citation_signature","submit_replication":"https://pith.science/pith/MM2K5Y4GCH3HFKGAHLEGAOFAJ6/action/replication_record"}},"created_at":"2026-05-18T02:18:22.043725+00:00","updated_at":"2026-05-18T02:18:22.043725+00:00"}