{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PCBBSWJL6CCQB6N2YV4UX23MB6","short_pith_number":"pith:PCBBSWJL","canonical_record":{"source":{"id":"2301.04153","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-10T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"d4dc5636172d595f7d446ad5efa968fc973dd0091e655d62f9600487250d006c","abstract_canon_sha256":"03a74eaaf13df1a0385b46207a8f763306977e7f255f21071dc3752c2b9f5b58"},"schema_version":"1.0"},"canonical_sha256":"788219592bf08500f9bac5794beb6c0fbf41cf3bcd39ebb53fa465adfb39b4dc","source":{"kind":"arxiv","id":"2301.04153","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.04153","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"arxiv_version","alias_value":"2301.04153v2","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.04153","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"pith_short_12","alias_value":"PCBBSWJL6CCQ","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"pith_short_16","alias_value":"PCBBSWJL6CCQB6N2","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"pith_short_8","alias_value":"PCBBSWJL","created_at":"2026-07-05T06:14:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PCBBSWJL6CCQB6N2YV4UX23MB6","target":"record","payload":{"canonical_record":{"source":{"id":"2301.04153","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-10T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"d4dc5636172d595f7d446ad5efa968fc973dd0091e655d62f9600487250d006c","abstract_canon_sha256":"03a74eaaf13df1a0385b46207a8f763306977e7f255f21071dc3752c2b9f5b58"},"schema_version":"1.0"},"canonical_sha256":"788219592bf08500f9bac5794beb6c0fbf41cf3bcd39ebb53fa465adfb39b4dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:14:39.443959Z","signature_b64":"6H66w87V8E1MdCxvll2hVvCr+Uv+EBr/fqQfmC2MOrhezsOoMBlbxdC5YjNCVw19hiaBnVlHiYeCUm1JY7JSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"788219592bf08500f9bac5794beb6c0fbf41cf3bcd39ebb53fa465adfb39b4dc","last_reissued_at":"2026-07-05T06:14:39.443488Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:14:39.443488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.04153","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:14:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v41hZyHXN0CeMYHermgLHzipxqsTQw7EJ3avz6UDbKold3ecy6Ook5fqpmXc6EaQx7+qJhrdp8eaj2r7EjUTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T16:11:22.317664Z"},"content_sha256":"89c469a7859f0cd1fcce4e129102241dd2acfba45a70aad46035c2fdd3a2e54b","schema_version":"1.0","event_id":"sha256:89c469a7859f0cd1fcce4e129102241dd2acfba45a70aad46035c2fdd3a2e54b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PCBBSWJL6CCQB6N2YV4UX23MB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the universal behavior of $T\\bar T$-deformed CFTs: single and double-trace partition functions at large $c$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Boyang Yu, Luis Apolo, Wei Song","submitted_at":"2023-01-10T19:00:01Z","abstract_excerpt":"We study universal properties of the torus partition function of $T\\bar T$-deformed CFTs under the assumption of modular invariance, for both the original version, referred to as the double-trace version in this paper, and the single-trace version defined as the symmetric product orbifold of double-trace $T\\bar T$-deformed CFTs. In the double-trace case, we specify sparseness conditions for the light states for which the partition function at low temperatures is dominated by the vacuum when the central charge of the undeformed CFT is large. Using modular invariance, this implies a universal de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.04153","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/2301.04153/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:14:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGwE6LUfabIYs58atNk9WNQoPlzOR9HOMYVy5tJzvXHFAYDgAJO1SKdAULkeoXbwKkwHVf03uwuTXct7Ou2PCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T16:11:22.318026Z"},"content_sha256":"498f7df3956c8b8c9348170d51f32c9dbfac0c89404d31ac6818194332d15931","schema_version":"1.0","event_id":"sha256:498f7df3956c8b8c9348170d51f32c9dbfac0c89404d31ac6818194332d15931"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PCBBSWJL6CCQB6N2YV4UX23MB6/bundle.json","state_url":"https://pith.science/pith/PCBBSWJL6CCQB6N2YV4UX23MB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PCBBSWJL6CCQB6N2YV4UX23MB6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-13T16:11:22Z","links":{"resolver":"https://pith.science/pith/PCBBSWJL6CCQB6N2YV4UX23MB6","bundle":"https://pith.science/pith/PCBBSWJL6CCQB6N2YV4UX23MB6/bundle.json","state":"https://pith.science/pith/PCBBSWJL6CCQB6N2YV4UX23MB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PCBBSWJL6CCQB6N2YV4UX23MB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PCBBSWJL6CCQB6N2YV4UX23MB6","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":"03a74eaaf13df1a0385b46207a8f763306977e7f255f21071dc3752c2b9f5b58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-10T19:00:01Z","title_canon_sha256":"d4dc5636172d595f7d446ad5efa968fc973dd0091e655d62f9600487250d006c"},"schema_version":"1.0","source":{"id":"2301.04153","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.04153","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"arxiv_version","alias_value":"2301.04153v2","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.04153","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"pith_short_12","alias_value":"PCBBSWJL6CCQ","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"pith_short_16","alias_value":"PCBBSWJL6CCQB6N2","created_at":"2026-07-05T06:14:39Z"},{"alias_kind":"pith_short_8","alias_value":"PCBBSWJL","created_at":"2026-07-05T06:14:39Z"}],"graph_snapshots":[{"event_id":"sha256:498f7df3956c8b8c9348170d51f32c9dbfac0c89404d31ac6818194332d15931","target":"graph","created_at":"2026-07-05T06:14:39Z","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/2301.04153/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study universal properties of the torus partition function of $T\\bar T$-deformed CFTs under the assumption of modular invariance, for both the original version, referred to as the double-trace version in this paper, and the single-trace version defined as the symmetric product orbifold of double-trace $T\\bar T$-deformed CFTs. In the double-trace case, we specify sparseness conditions for the light states for which the partition function at low temperatures is dominated by the vacuum when the central charge of the undeformed CFT is large. Using modular invariance, this implies a universal de","authors_text":"Boyang Yu, Luis Apolo, Wei Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-10T19:00:01Z","title":"On the universal behavior of $T\\bar T$-deformed CFTs: single and double-trace partition functions at large $c$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.04153","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":"sha256:89c469a7859f0cd1fcce4e129102241dd2acfba45a70aad46035c2fdd3a2e54b","target":"record","created_at":"2026-07-05T06:14:39Z","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":"03a74eaaf13df1a0385b46207a8f763306977e7f255f21071dc3752c2b9f5b58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-10T19:00:01Z","title_canon_sha256":"d4dc5636172d595f7d446ad5efa968fc973dd0091e655d62f9600487250d006c"},"schema_version":"1.0","source":{"id":"2301.04153","kind":"arxiv","version":2}},"canonical_sha256":"788219592bf08500f9bac5794beb6c0fbf41cf3bcd39ebb53fa465adfb39b4dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"788219592bf08500f9bac5794beb6c0fbf41cf3bcd39ebb53fa465adfb39b4dc","first_computed_at":"2026-07-05T06:14:39.443488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:14:39.443488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6H66w87V8E1MdCxvll2hVvCr+Uv+EBr/fqQfmC2MOrhezsOoMBlbxdC5YjNCVw19hiaBnVlHiYeCUm1JY7JSCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:14:39.443959Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.04153","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89c469a7859f0cd1fcce4e129102241dd2acfba45a70aad46035c2fdd3a2e54b","sha256:498f7df3956c8b8c9348170d51f32c9dbfac0c89404d31ac6818194332d15931"],"state_sha256":"5b1bb42b06bc1d288c197e00107e2147e68da39feb0eb206580ddc2e40f26173"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HXoae5v3KYXKfJb60C54xQaLlPxxmobXRtVSHmXOzf//zFGvV/SysfDn0vzM4chdyyJsbs4q1LwdKtLaboUCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-13T16:11:22.320100Z","bundle_sha256":"7cb5ab5ff31c304081c57d4ff419ce4abeca1a3461726a2abad5b11e554967ea"}}