{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:D6KPWLEF27TALHS7QRYDW7HYRD","short_pith_number":"pith:D6KPWLEF","canonical_record":{"source":{"id":"1806.07426","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-19T19:00:29Z","cross_cats_sorted":[],"title_canon_sha256":"0c002d79b02e43279ef41dc13347a244c0a9dc9d3faee2c5bd50354a33c780d6","abstract_canon_sha256":"23950c0df951ada85c0d0644ed314d42a67b14ea1df0ba3c918c93b71adc20e6"},"schema_version":"1.0"},"canonical_sha256":"1f94fb2c85d7e6059e5f84703b7cf888d92456348e9ed8b228de4409f82846ef","source":{"kind":"arxiv","id":"1806.07426","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07426","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07426v4","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07426","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"D6KPWLEF27TA","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6KPWLEF27TALHS7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6KPWLEF","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:D6KPWLEF27TALHS7QRYDW7HYRD","target":"record","payload":{"canonical_record":{"source":{"id":"1806.07426","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-19T19:00:29Z","cross_cats_sorted":[],"title_canon_sha256":"0c002d79b02e43279ef41dc13347a244c0a9dc9d3faee2c5bd50354a33c780d6","abstract_canon_sha256":"23950c0df951ada85c0d0644ed314d42a67b14ea1df0ba3c918c93b71adc20e6"},"schema_version":"1.0"},"canonical_sha256":"1f94fb2c85d7e6059e5f84703b7cf888d92456348e9ed8b228de4409f82846ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:40.213170Z","signature_b64":"LqT2pY2m/+oIvCFjV4ldPmw5poUVbJOJYM5GBRp4lNy15B1RM9Ic8ipl7h4Tor+6jxvVpgrP5EIR1kMteNPDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f94fb2c85d7e6059e5f84703b7cf888d92456348e9ed8b228de4409f82846ef","last_reissued_at":"2026-05-18T00:07:40.212543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:40.212543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.07426","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ry88fzMAviLqaKY3vVuYtfttbeS5E0VEDgQ4cgPiTExk+pP+c8VU1DfUdfLvBaQQcBxQj64i1n7iRSWGF5vLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T06:07:39.341628Z"},"content_sha256":"7213e872e0e90dbbe2eaa12dc97870b6e90ff0ce7277648191fb121d4830c757","schema_version":"1.0","event_id":"sha256:7213e872e0e90dbbe2eaa12dc97870b6e90ff0ce7277648191fb121d4830c757"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:D6KPWLEF27TALHS7QRYDW7HYRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$T\\bar{T}$ deformed partition functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Shouvik Datta, Yunfeng Jiang","submitted_at":"2018-06-19T19:00:29Z","abstract_excerpt":"We demonstrate the presence of modular properties in partition functions of $T\\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of the asymptotic density of states in these theories, which turns out to interpolate between Cardy and Hagedorn behaviours. We also point out a sub-sector of the spectrum that remains undeformed under the $T\\bar{T}$ flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07426","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WaefAqyrq/fVyKzb9spmNqez65y6DlOqkTV9KO2ApOon1snwn4OLhZUWdGDgROZDUATquqi9YdtTnm8Uv4KYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T06:07:39.341999Z"},"content_sha256":"c8423410d94d3fb3474a5bc87db53ef6f682147a37e9751ca67d5c92861b8432","schema_version":"1.0","event_id":"sha256:c8423410d94d3fb3474a5bc87db53ef6f682147a37e9751ca67d5c92861b8432"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6KPWLEF27TALHS7QRYDW7HYRD/bundle.json","state_url":"https://pith.science/pith/D6KPWLEF27TALHS7QRYDW7HYRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6KPWLEF27TALHS7QRYDW7HYRD/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":"2026-05-23T06:07:39Z","links":{"resolver":"https://pith.science/pith/D6KPWLEF27TALHS7QRYDW7HYRD","bundle":"https://pith.science/pith/D6KPWLEF27TALHS7QRYDW7HYRD/bundle.json","state":"https://pith.science/pith/D6KPWLEF27TALHS7QRYDW7HYRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6KPWLEF27TALHS7QRYDW7HYRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D6KPWLEF27TALHS7QRYDW7HYRD","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":"23950c0df951ada85c0d0644ed314d42a67b14ea1df0ba3c918c93b71adc20e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-19T19:00:29Z","title_canon_sha256":"0c002d79b02e43279ef41dc13347a244c0a9dc9d3faee2c5bd50354a33c780d6"},"schema_version":"1.0","source":{"id":"1806.07426","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07426","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07426v4","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07426","created_at":"2026-05-18T00:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"D6KPWLEF27TA","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6KPWLEF27TALHS7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6KPWLEF","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:c8423410d94d3fb3474a5bc87db53ef6f682147a37e9751ca67d5c92861b8432","target":"graph","created_at":"2026-05-18T00:07:40Z","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"},"paper":{"abstract_excerpt":"We demonstrate the presence of modular properties in partition functions of $T\\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of the asymptotic density of states in these theories, which turns out to interpolate between Cardy and Hagedorn behaviours. We also point out a sub-sector of the spectrum that remains undeformed under the $T\\bar{T}$ flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual.","authors_text":"Shouvik Datta, Yunfeng Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-19T19:00:29Z","title":"$T\\bar{T}$ deformed partition functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07426","kind":"arxiv","version":4},"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":"sha256:7213e872e0e90dbbe2eaa12dc97870b6e90ff0ce7277648191fb121d4830c757","target":"record","created_at":"2026-05-18T00:07:40Z","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":"23950c0df951ada85c0d0644ed314d42a67b14ea1df0ba3c918c93b71adc20e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-19T19:00:29Z","title_canon_sha256":"0c002d79b02e43279ef41dc13347a244c0a9dc9d3faee2c5bd50354a33c780d6"},"schema_version":"1.0","source":{"id":"1806.07426","kind":"arxiv","version":4}},"canonical_sha256":"1f94fb2c85d7e6059e5f84703b7cf888d92456348e9ed8b228de4409f82846ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f94fb2c85d7e6059e5f84703b7cf888d92456348e9ed8b228de4409f82846ef","first_computed_at":"2026-05-18T00:07:40.212543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:40.212543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LqT2pY2m/+oIvCFjV4ldPmw5poUVbJOJYM5GBRp4lNy15B1RM9Ic8ipl7h4Tor+6jxvVpgrP5EIR1kMteNPDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:40.213170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07426","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7213e872e0e90dbbe2eaa12dc97870b6e90ff0ce7277648191fb121d4830c757","sha256:c8423410d94d3fb3474a5bc87db53ef6f682147a37e9751ca67d5c92861b8432"],"state_sha256":"5f3c9b9db5f6e23cc8e0f2f4c55a387b9522d8bdb060c6844403f33105db52d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KXx18oXJxG6bXN2imkK8JP9IauN4WNIY2z+4hj9DTGEQ6B+IR2JP56tVMVOFzcDbA9d6PAuZe9LAlvYRS4q6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T06:07:39.344910Z","bundle_sha256":"61e4afa24dbac5c863e7a2442c0268f0bb09d972e606e1d561b1bcba543412c8"}}