{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CEUTFCUTQ4GE4SLWOPC6EVNI5Z","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":"5ed553e17ba037ceb631f614988d79358d9c58ab5811b0bbdab2e9e72af05321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-18T16:54:02Z","title_canon_sha256":"9d6697a440693416daf9988ee05b1373090e9e4c51ba5ea0e526e6438fccfd60"},"schema_version":"1.0","source":{"id":"1903.07561","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07561","created_at":"2026-07-05T00:48:14Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07561v2","created_at":"2026-07-05T00:48:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07561","created_at":"2026-07-05T00:48:14Z"},{"alias_kind":"pith_short_12","alias_value":"CEUTFCUTQ4GE","created_at":"2026-07-05T00:48:14Z"},{"alias_kind":"pith_short_16","alias_value":"CEUTFCUTQ4GE4SLW","created_at":"2026-07-05T00:48:14Z"},{"alias_kind":"pith_short_8","alias_value":"CEUTFCUT","created_at":"2026-07-05T00:48:14Z"}],"graph_snapshots":[{"event_id":"sha256:f84e5af7b0394f486c4c725e986ad79e434d0d27e8e746489e3f77e7c26be08d","target":"graph","created_at":"2026-07-05T00:48:14Z","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/1903.07561/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Yunfeng Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-18T16:54:02Z","title":"Expectation value of $\\mathrm{T}\\overline{\\mathrm{T}}$ operator in curved spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07561","kind":"arxiv","version":2},"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":"sha256:97b4c98285f461972d6e72afe8debbe34902f2b1631dd34a2dcba9fea7e3f864","target":"record","created_at":"2026-07-05T00:48:14Z","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":"5ed553e17ba037ceb631f614988d79358d9c58ab5811b0bbdab2e9e72af05321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-18T16:54:02Z","title_canon_sha256":"9d6697a440693416daf9988ee05b1373090e9e4c51ba5ea0e526e6438fccfd60"},"schema_version":"1.0","source":{"id":"1903.07561","kind":"arxiv","version":2}},"canonical_sha256":"1129328a93870c4e497673c5e255a8ee47f67278d9fc4354edd0dd2640989ef2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1129328a93870c4e497673c5e255a8ee47f67278d9fc4354edd0dd2640989ef2","first_computed_at":"2026-07-05T00:48:14.174087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:48:14.174087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X/F277lYeEGW7LXowv5AgiC7LCHRWBJnjaeW7GeR50GiP69Ii7Q0XsNKFDktYU6DFcnJMJkX3YTxWIL0WBtqDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:48:14.174572Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07561","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97b4c98285f461972d6e72afe8debbe34902f2b1631dd34a2dcba9fea7e3f864","sha256:f84e5af7b0394f486c4c725e986ad79e434d0d27e8e746489e3f77e7c26be08d"],"state_sha256":"dcf69f6e30a84d0dfc1e5d08fed19d6a73ac5ecd4160f349baf72a333cc5de89"}