{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:BEDOB62EH76EZOCMYHQR5T3XSW","short_pith_number":"pith:BEDOB62E","schema_version":"1.0","canonical_sha256":"0906e0fb443ffc4cb84cc1e11ecf7795ab39bbf3cfdf26c93df03f52d607ac3e","source":{"kind":"arxiv","id":"2103.08636","version":2},"attestation_state":"computed","paper":{"title":"Light-ray moments as endpoint contributions to modular Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel Kabat, Debajyoti Sarkar, Gilad Lifschytz, Phuc Nguyen","submitted_at":"2021-03-15T18:22:07Z","abstract_excerpt":"We consider excited states in a CFT, obtained by applying a weak unitary perturbation to the vacuum. The perturbation is generated by the integral of a local operator $J^{(n)}$ of modular weight $n$ over a spacelike surface passing through $x = 0$. For $\\vert n \\vert \\geq 2$ the modular Hamiltonian associated with a division of space at $x = 0$ picks up an endpoint contribution, sensitive to the details of the perturbation (including the shape of the spacelike surface) at $x = 0$. The endpoint contribution is a sum of light-ray moments of the perturbing operator $J^{(n)}$ and its descendants. "},"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":"2103.08636","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-03-15T18:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"bf5addb46487cb74e48a48e5cf3e5a119dd1c723324d96fbf31097530ced5258","abstract_canon_sha256":"f5258b00543d6f73d39c85f5fda2ecb14c15d830524976e38adc3d161d3ec5df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:17:48.981184Z","signature_b64":"FiGZgx+BURpDp+l3SBaf47E6SuL/rKEodyruFQVbrqSf1RPKdEOtY/oPwsONH5+87CTd2G0bq5UXEq2nWHaFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0906e0fb443ffc4cb84cc1e11ecf7795ab39bbf3cfdf26c93df03f52d607ac3e","last_reissued_at":"2026-07-05T03:17:48.980715Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:17:48.980715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Light-ray moments as endpoint contributions to modular Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Daniel Kabat, Debajyoti Sarkar, Gilad Lifschytz, Phuc Nguyen","submitted_at":"2021-03-15T18:22:07Z","abstract_excerpt":"We consider excited states in a CFT, obtained by applying a weak unitary perturbation to the vacuum. The perturbation is generated by the integral of a local operator $J^{(n)}$ of modular weight $n$ over a spacelike surface passing through $x = 0$. For $\\vert n \\vert \\geq 2$ the modular Hamiltonian associated with a division of space at $x = 0$ picks up an endpoint contribution, sensitive to the details of the perturbation (including the shape of the spacelike surface) at $x = 0$. The endpoint contribution is a sum of light-ray moments of the perturbing operator $J^{(n)}$ and its descendants. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.08636","kind":"arxiv","version":2},"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/2103.08636/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":"2103.08636","created_at":"2026-07-05T03:17:48.980761+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.08636v2","created_at":"2026-07-05T03:17:48.980761+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.08636","created_at":"2026-07-05T03:17:48.980761+00:00"},{"alias_kind":"pith_short_12","alias_value":"BEDOB62EH76E","created_at":"2026-07-05T03:17:48.980761+00:00"},{"alias_kind":"pith_short_16","alias_value":"BEDOB62EH76EZOCM","created_at":"2026-07-05T03:17:48.980761+00:00"},{"alias_kind":"pith_short_8","alias_value":"BEDOB62E","created_at":"2026-07-05T03:17:48.980761+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2601.00096","citing_title":"Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$","ref_index":31,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW","json":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW.json","graph_json":"https://pith.science/api/pith-number/BEDOB62EH76EZOCMYHQR5T3XSW/graph.json","events_json":"https://pith.science/api/pith-number/BEDOB62EH76EZOCMYHQR5T3XSW/events.json","paper":"https://pith.science/paper/BEDOB62E"},"agent_actions":{"view_html":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW","download_json":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW.json","view_paper":"https://pith.science/paper/BEDOB62E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.08636&json=true","fetch_graph":"https://pith.science/api/pith-number/BEDOB62EH76EZOCMYHQR5T3XSW/graph.json","fetch_events":"https://pith.science/api/pith-number/BEDOB62EH76EZOCMYHQR5T3XSW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW/action/storage_attestation","attest_author":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW/action/author_attestation","sign_citation":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW/action/citation_signature","submit_replication":"https://pith.science/pith/BEDOB62EH76EZOCMYHQR5T3XSW/action/replication_record"}},"created_at":"2026-07-05T03:17:48.980761+00:00","updated_at":"2026-07-05T03:17:48.980761+00:00"}