{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:NSFGOH5KET7SJTL2UJBDWYDDCX","short_pith_number":"pith:NSFGOH5K","canonical_record":{"source":{"id":"1911.06142","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-14T14:49:32Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d85c897b3940bb9bcb179613a67a5395d7fe54fb3de2409a1a1ef2f01866c9d0","abstract_canon_sha256":"f4bfda39f0a5b10c0d844a1d592e5537e3c13dd82da42b0045fafb38b5e49591"},"schema_version":"1.0"},"canonical_sha256":"6c8a671faa24ff24cd7aa2423b606315d4160bf9c77af6115f4e55f42d0eff3b","source":{"kind":"arxiv","id":"1911.06142","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.06142","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"1911.06142v4","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.06142","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"NSFGOH5KET7S","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"NSFGOH5KET7SJTL2","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"NSFGOH5K","created_at":"2026-07-05T01:18:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:NSFGOH5KET7SJTL2UJBDWYDDCX","target":"record","payload":{"canonical_record":{"source":{"id":"1911.06142","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-14T14:49:32Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d85c897b3940bb9bcb179613a67a5395d7fe54fb3de2409a1a1ef2f01866c9d0","abstract_canon_sha256":"f4bfda39f0a5b10c0d844a1d592e5537e3c13dd82da42b0045fafb38b5e49591"},"schema_version":"1.0"},"canonical_sha256":"6c8a671faa24ff24cd7aa2423b606315d4160bf9c77af6115f4e55f42d0eff3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:42.537336Z","signature_b64":"LnFvDUmvRV4h1NZQsdoA3B2rVdNB6opd5dagpI6bK8tZ8Yih+FWeGtD8i1+akVzEJur8L7bBzJTF6791a18XAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c8a671faa24ff24cd7aa2423b606315d4160bf9c77af6115f4e55f42d0eff3b","last_reissued_at":"2026-07-05T01:18:42.536750Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:42.536750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.06142","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":"2026-07-05T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mt21mEIdE4SF+Rb94ipI7HekhRMsFZLYjurUKBkoY1HchQ/v0PuA7p9Jz2o9H9Nw1d4NwP57q8Y06w4Z+WaRDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:16:45.899253Z"},"content_sha256":"37145baf2f051ce50e69e9735c8e316eb906a6a94683b19204b66b4922711f81","schema_version":"1.0","event_id":"sha256:37145baf2f051ce50e69e9735c8e316eb906a6a94683b19204b66b4922711f81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:NSFGOH5KET7SJTL2UJBDWYDDCX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$T \\bar T$ Deformations, Massive Gravity and Non-Critical Strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Andrew J. Tolley","submitted_at":"2019-11-14T14:49:32Z","abstract_excerpt":"The $T \\bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a path integral formulation of the random geometries proposal, which mirrors the holographic bulk cutoff picture. We emphasize the role of the massive gravity \\stu fields which describe the diffeomorphism between the two metrics. For a general field theory, the dynamics of the \\stu fields is non-trivial, however for a CFT it trivializes and becomes equivalent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06142","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.06142/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":"2026-07-05T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WtJkapBw2NhwS9Mpwg6nKgoiaolXVmmqHy23in6qewQWPzr54/kUwHdYQFIukowYtCNzJOu/HMQyN6cj9g9NCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:16:45.899878Z"},"content_sha256":"cadb5c2a7eb3282fef398c05b9e9ef7e2a3f2991dd98af37d9b29df1062ac4fc","schema_version":"1.0","event_id":"sha256:cadb5c2a7eb3282fef398c05b9e9ef7e2a3f2991dd98af37d9b29df1062ac4fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NSFGOH5KET7SJTL2UJBDWYDDCX/bundle.json","state_url":"https://pith.science/pith/NSFGOH5KET7SJTL2UJBDWYDDCX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NSFGOH5KET7SJTL2UJBDWYDDCX/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":"2026-08-11T06:16:45Z","links":{"resolver":"https://pith.science/pith/NSFGOH5KET7SJTL2UJBDWYDDCX","bundle":"https://pith.science/pith/NSFGOH5KET7SJTL2UJBDWYDDCX/bundle.json","state":"https://pith.science/pith/NSFGOH5KET7SJTL2UJBDWYDDCX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NSFGOH5KET7SJTL2UJBDWYDDCX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NSFGOH5KET7SJTL2UJBDWYDDCX","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":"f4bfda39f0a5b10c0d844a1d592e5537e3c13dd82da42b0045fafb38b5e49591","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-14T14:49:32Z","title_canon_sha256":"d85c897b3940bb9bcb179613a67a5395d7fe54fb3de2409a1a1ef2f01866c9d0"},"schema_version":"1.0","source":{"id":"1911.06142","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.06142","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"1911.06142v4","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.06142","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"NSFGOH5KET7S","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"NSFGOH5KET7SJTL2","created_at":"2026-07-05T01:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"NSFGOH5K","created_at":"2026-07-05T01:18:42Z"}],"graph_snapshots":[{"event_id":"sha256:cadb5c2a7eb3282fef398c05b9e9ef7e2a3f2991dd98af37d9b29df1062ac4fc","target":"graph","created_at":"2026-07-05T01:18:42Z","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/1911.06142/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $T \\bar T$ deformation of a 2 dimensional field theory living on a curved spacetime is equivalent to coupling the undeformed field theory to 2 dimensional `ghost-free' massive gravity. We derive the equivalence classically, and using a path integral formulation of the random geometries proposal, which mirrors the holographic bulk cutoff picture. We emphasize the role of the massive gravity \\stu fields which describe the diffeomorphism between the two metrics. For a general field theory, the dynamics of the \\stu fields is non-trivial, however for a CFT it trivializes and becomes equivalent ","authors_text":"Andrew J. Tolley","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-14T14:49:32Z","title":"$T \\bar T$ Deformations, Massive Gravity and Non-Critical Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06142","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":"sha256:37145baf2f051ce50e69e9735c8e316eb906a6a94683b19204b66b4922711f81","target":"record","created_at":"2026-07-05T01:18:42Z","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":"f4bfda39f0a5b10c0d844a1d592e5537e3c13dd82da42b0045fafb38b5e49591","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-14T14:49:32Z","title_canon_sha256":"d85c897b3940bb9bcb179613a67a5395d7fe54fb3de2409a1a1ef2f01866c9d0"},"schema_version":"1.0","source":{"id":"1911.06142","kind":"arxiv","version":4}},"canonical_sha256":"6c8a671faa24ff24cd7aa2423b606315d4160bf9c77af6115f4e55f42d0eff3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c8a671faa24ff24cd7aa2423b606315d4160bf9c77af6115f4e55f42d0eff3b","first_computed_at":"2026-07-05T01:18:42.536750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:18:42.536750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LnFvDUmvRV4h1NZQsdoA3B2rVdNB6opd5dagpI6bK8tZ8Yih+FWeGtD8i1+akVzEJur8L7bBzJTF6791a18XAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:18:42.537336Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.06142","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37145baf2f051ce50e69e9735c8e316eb906a6a94683b19204b66b4922711f81","sha256:cadb5c2a7eb3282fef398c05b9e9ef7e2a3f2991dd98af37d9b29df1062ac4fc"],"state_sha256":"41dfff75a0a891ef6d8d21140aa8360c67edea25d28cd34162cb1b0558c8e23f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDhqmW5NwzeOU9Dcd828lkU1pcoFMCCUfuGkDdMbAxFr12ZoUj47jAgp5kkshj3iBMMqlBcWjwNq2wI1S8G0BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T06:16:45.904936Z","bundle_sha256":"d5955f6c55c861f51808601adcfdb5dc8ef45d14ebf1a2e5fcaaef4b3dee9a75"}}