{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CEUTFCUTQ4GE4SLWOPC6EVNI5Z","short_pith_number":"pith:CEUTFCUT","schema_version":"1.0","canonical_sha256":"1129328a93870c4e497673c5e255a8ee47f67278d9fc4354edd0dd2640989ef2","source":{"kind":"arxiv","id":"1903.07561","version":2},"attestation_state":"computed","paper":{"title":"Expectation value of $\\mathrm{T}\\overline{\\mathrm{T}}$ operator in curved spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yunfeng Jiang","submitted_at":"2019-03-18T16:54:02Z","abstract_excerpt":"We study the expectation value of the $\\mathrm{T}\\overline{\\mathrm{T}}$ operator in spacetimes with constant curvature. We define an diffeomorphism invariant biscalar whose coinciding limit gives the expectation value of the $\\mathrm{T}\\overline{\\mathrm{T}}$ operator. We show that this biscalar is a constant in flat spacetime, which reproduces Zamolodchikov's result in 2004. For spacetimes with non-zero curvature, we show that this is no longer true and the expectation value of the $\\mathrm{T}\\overline{\\mathrm{T}}$ operator depends on both the one-point and two-point functions of the stress-en"},"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":"1903.07561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-18T16:54:02Z","cross_cats_sorted":[],"title_canon_sha256":"9d6697a440693416daf9988ee05b1373090e9e4c51ba5ea0e526e6438fccfd60","abstract_canon_sha256":"5ed553e17ba037ceb631f614988d79358d9c58ab5811b0bbdab2e9e72af05321"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:14.174572Z","signature_b64":"X/F277lYeEGW7LXowv5AgiC7LCHRWBJnjaeW7GeR50GiP69Ii7Q0XsNKFDktYU6DFcnJMJkX3YTxWIL0WBtqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1129328a93870c4e497673c5e255a8ee47f67278d9fc4354edd0dd2640989ef2","last_reissued_at":"2026-07-05T00:48:14.174087Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:14.174087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Expectation value of $\\mathrm{T}\\overline{\\mathrm{T}}$ operator in curved spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yunfeng Jiang","submitted_at":"2019-03-18T16:54:02Z","abstract_excerpt":"We study the expectation value of the $\\mathrm{T}\\overline{\\mathrm{T}}$ operator in spacetimes with constant curvature. We define an diffeomorphism invariant biscalar whose coinciding limit gives the expectation value of the $\\mathrm{T}\\overline{\\mathrm{T}}$ operator. We show that this biscalar is a constant in flat spacetime, which reproduces Zamolodchikov's result in 2004. For spacetimes with non-zero curvature, we show that this is no longer true and the expectation value of the $\\mathrm{T}\\overline{\\mathrm{T}}$ operator depends on both the one-point and two-point functions of the stress-en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07561","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/1903.07561/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":"1903.07561","created_at":"2026-07-05T00:48:14.174157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.07561v2","created_at":"2026-07-05T00:48:14.174157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07561","created_at":"2026-07-05T00:48:14.174157+00:00"},{"alias_kind":"pith_short_12","alias_value":"CEUTFCUTQ4GE","created_at":"2026-07-05T00:48:14.174157+00:00"},{"alias_kind":"pith_short_16","alias_value":"CEUTFCUTQ4GE4SLW","created_at":"2026-07-05T00:48:14.174157+00:00"},{"alias_kind":"pith_short_8","alias_value":"CEUTFCUT","created_at":"2026-07-05T00:48:14.174157+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.02640","citing_title":"Integrability and Renormalization under $T \\bar T$","ref_index":38,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z","json":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z.json","graph_json":"https://pith.science/api/pith-number/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/graph.json","events_json":"https://pith.science/api/pith-number/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/events.json","paper":"https://pith.science/paper/CEUTFCUT"},"agent_actions":{"view_html":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z","download_json":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z.json","view_paper":"https://pith.science/paper/CEUTFCUT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.07561&json=true","fetch_graph":"https://pith.science/api/pith-number/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/graph.json","fetch_events":"https://pith.science/api/pith-number/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/action/storage_attestation","attest_author":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/action/author_attestation","sign_citation":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/action/citation_signature","submit_replication":"https://pith.science/pith/CEUTFCUTQ4GE4SLWOPC6EVNI5Z/action/replication_record"}},"created_at":"2026-07-05T00:48:14.174157+00:00","updated_at":"2026-07-05T00:48:14.174157+00:00"}