{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:NZ6CRKS7BAT27CQOIPLQLOEWPF","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":"03da7113e335669a1b7024b49e4e8fede7a34c65c1846e272dae9b259a9f8a0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-03-17T21:55:49Z","title_canon_sha256":"b74d46dec72ffd195d6eb8a8c279b84c3a9542e3a891e080f69e8720efda87e9"},"schema_version":"1.0","source":{"id":"2103.09930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.09930","created_at":"2026-07-05T02:49:27Z"},{"alias_kind":"arxiv_version","alias_value":"2103.09930v1","created_at":"2026-07-05T02:49:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.09930","created_at":"2026-07-05T02:49:27Z"},{"alias_kind":"pith_short_12","alias_value":"NZ6CRKS7BAT2","created_at":"2026-07-05T02:49:27Z"},{"alias_kind":"pith_short_16","alias_value":"NZ6CRKS7BAT27CQO","created_at":"2026-07-05T02:49:27Z"},{"alias_kind":"pith_short_8","alias_value":"NZ6CRKS7","created_at":"2026-07-05T02:49:27Z"}],"graph_snapshots":[{"event_id":"sha256:e3cb1c2106ac34c30c0b3ce9185f993328ffb18483a74e3831e92836049f5cfb","target":"graph","created_at":"2026-07-05T02:49:27Z","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/2103.09930/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the $TT$ OPE in $d>2$ CFTs whose bulk dual is Einstein gravity. Directly from the $TT$ OPE, we obtain, in a certain null-like limit, an algebraic structure consistent with the Jacobi identity: $[{\\cal L}_m, {\\cal L}_n]= (m-n) {\\cal L}_{m+n}+ C m (m^2-1) \\delta_{m+n,0}$. The dimensionless constant $C$ is proportional to the central charge $C_T$. Transverse integrals in the definition of ${\\cal L}_m$ play a crucial role. We comment on the corresponding limiting procedure and point out a curiosity related to the central term. A connection between the $d>2$ near-lightcone stress-tensor co","authors_text":"Kuo-Wei Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-03-17T21:55:49Z","title":"$d>2$ Stress-Tensor OPE near a Line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.09930","kind":"arxiv","version":1},"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":"sha256:53250dfa9080ecb9116b59b6161020eb8081e128bdbeb5317e2c9a80d8d146a8","target":"record","created_at":"2026-07-05T02:49:27Z","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":"03da7113e335669a1b7024b49e4e8fede7a34c65c1846e272dae9b259a9f8a0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-03-17T21:55:49Z","title_canon_sha256":"b74d46dec72ffd195d6eb8a8c279b84c3a9542e3a891e080f69e8720efda87e9"},"schema_version":"1.0","source":{"id":"2103.09930","kind":"arxiv","version":1}},"canonical_sha256":"6e7c28aa5f0827af8a0e43d705b896795df2015c5df689a552254e5cf18b64c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e7c28aa5f0827af8a0e43d705b896795df2015c5df689a552254e5cf18b64c0","first_computed_at":"2026-07-05T02:49:27.382948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:49:27.382948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZDnMQyGUq8NpXH2+Rbew9FP7NXdMkBXqhWWgRU9uZhcHM86lzuFHn3PozGWSd71ULyFlqJs69qmYyZFuAw/uDg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:49:27.383429Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.09930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53250dfa9080ecb9116b59b6161020eb8081e128bdbeb5317e2c9a80d8d146a8","sha256:e3cb1c2106ac34c30c0b3ce9185f993328ffb18483a74e3831e92836049f5cfb"],"state_sha256":"2d760731e2968b6333167c74d3f38eddbbb670c7a5591569254a09b94f12bad7"}