{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:XYTMANVXREQWXATYBHDZ3LXPJF","short_pith_number":"pith:XYTMANVX","canonical_record":{"source":{"id":"2005.00431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-01T15:07:24Z","cross_cats_sorted":[],"title_canon_sha256":"1932aa1536b16a0e38d10c64b754c24a8b8ee172d2bf108818fd29f063cb878e","abstract_canon_sha256":"85b23f68ccf5b0fd9330aa4a9de2a55339981abe3f98c38ef792428e14f7d599"},"schema_version":"1.0"},"canonical_sha256":"be26c036b789216b827809c79daeef496cad75c772d4b121d3e73d2fd299b33d","source":{"kind":"arxiv","id":"2005.00431","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.00431","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"2005.00431v2","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.00431","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"XYTMANVXREQW","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"pith_short_16","alias_value":"XYTMANVXREQWXATY","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"pith_short_8","alias_value":"XYTMANVX","created_at":"2026-07-05T01:02:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:XYTMANVXREQWXATYBHDZ3LXPJF","target":"record","payload":{"canonical_record":{"source":{"id":"2005.00431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-01T15:07:24Z","cross_cats_sorted":[],"title_canon_sha256":"1932aa1536b16a0e38d10c64b754c24a8b8ee172d2bf108818fd29f063cb878e","abstract_canon_sha256":"85b23f68ccf5b0fd9330aa4a9de2a55339981abe3f98c38ef792428e14f7d599"},"schema_version":"1.0"},"canonical_sha256":"be26c036b789216b827809c79daeef496cad75c772d4b121d3e73d2fd299b33d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:02:17.963415Z","signature_b64":"swxZvcdvNtyUSU9F8PEjn//67fwr39rYbizWcidaC9DlJofJbJsHz2nvYaG6Sn3TOIySF+oVcU9iyruyZMtPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be26c036b789216b827809c79daeef496cad75c772d4b121d3e73d2fd299b33d","last_reissued_at":"2026-07-05T01:02:17.963013Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:02:17.963013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.00431","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":"2026-07-05T01:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hxi6Cj//L+B1KJwaK0BrypgUIsxBX0OEABsgWbfQMXa60TogKpdQR3uO6Vrb4QF7UBs4duS2Dj4MjRr7llrzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:41:07.171024Z"},"content_sha256":"5a6c992a9f4c397f11d2b29b977b433071619e1ba8d40b5bed9d5c4f5fdfb1ee","schema_version":"1.0","event_id":"sha256:5a6c992a9f4c397f11d2b29b977b433071619e1ba8d40b5bed9d5c4f5fdfb1ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:XYTMANVXREQWXATYBHDZ3LXPJF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Defining the $T \\overline{T}$ Deformation on $\\mathrm{AdS}_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christian Ferko, Emil Martinec, Savdeep Sethi, T. Daniel Brennan","submitted_at":"2020-05-01T15:07:24Z","abstract_excerpt":"We show that the $T \\overline{T}$ deformation of two-dimensional quantum field theory on $\\mathrm{AdS}_2$ is well-defined and solvable at the quantum level. Flow equations for the energy spectrum and partition function are derived in analogy with the flat space case. As a non-trivial check, we perturbatively compute the deformed energy spectrum for the case of a free scalar field. We analyze the high energy density of states of the deformed theory and find a Hagedorn growth of states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.00431","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/2005.00431/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":"2026-07-05T01:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvGgkDinV65RPEgkJaZvIsTfXN84/JhzpK4GTMXGg+030VmUFzqNnQKi51hHElvRZrpdt0XJbFVwyDRrwMjcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:41:07.171693Z"},"content_sha256":"3be3a209d56f0019f3d39fd7d056b60b33c0cabca70a2e9b517804db8ecb1df4","schema_version":"1.0","event_id":"sha256:3be3a209d56f0019f3d39fd7d056b60b33c0cabca70a2e9b517804db8ecb1df4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYTMANVXREQWXATYBHDZ3LXPJF/bundle.json","state_url":"https://pith.science/pith/XYTMANVXREQWXATYBHDZ3LXPJF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYTMANVXREQWXATYBHDZ3LXPJF/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":"2026-08-07T10:41:07Z","links":{"resolver":"https://pith.science/pith/XYTMANVXREQWXATYBHDZ3LXPJF","bundle":"https://pith.science/pith/XYTMANVXREQWXATYBHDZ3LXPJF/bundle.json","state":"https://pith.science/pith/XYTMANVXREQWXATYBHDZ3LXPJF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYTMANVXREQWXATYBHDZ3LXPJF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XYTMANVXREQWXATYBHDZ3LXPJF","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":"85b23f68ccf5b0fd9330aa4a9de2a55339981abe3f98c38ef792428e14f7d599","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-01T15:07:24Z","title_canon_sha256":"1932aa1536b16a0e38d10c64b754c24a8b8ee172d2bf108818fd29f063cb878e"},"schema_version":"1.0","source":{"id":"2005.00431","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.00431","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"2005.00431v2","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.00431","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"XYTMANVXREQW","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"pith_short_16","alias_value":"XYTMANVXREQWXATY","created_at":"2026-07-05T01:02:17Z"},{"alias_kind":"pith_short_8","alias_value":"XYTMANVX","created_at":"2026-07-05T01:02:17Z"}],"graph_snapshots":[{"event_id":"sha256:3be3a209d56f0019f3d39fd7d056b60b33c0cabca70a2e9b517804db8ecb1df4","target":"graph","created_at":"2026-07-05T01:02:17Z","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/2005.00431/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the $T \\overline{T}$ deformation of two-dimensional quantum field theory on $\\mathrm{AdS}_2$ is well-defined and solvable at the quantum level. Flow equations for the energy spectrum and partition function are derived in analogy with the flat space case. As a non-trivial check, we perturbatively compute the deformed energy spectrum for the case of a free scalar field. We analyze the high energy density of states of the deformed theory and find a Hagedorn growth of states.","authors_text":"Christian Ferko, Emil Martinec, Savdeep Sethi, T. Daniel Brennan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-01T15:07:24Z","title":"Defining the $T \\overline{T}$ Deformation on $\\mathrm{AdS}_2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.00431","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":"sha256:5a6c992a9f4c397f11d2b29b977b433071619e1ba8d40b5bed9d5c4f5fdfb1ee","target":"record","created_at":"2026-07-05T01:02:17Z","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":"85b23f68ccf5b0fd9330aa4a9de2a55339981abe3f98c38ef792428e14f7d599","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-01T15:07:24Z","title_canon_sha256":"1932aa1536b16a0e38d10c64b754c24a8b8ee172d2bf108818fd29f063cb878e"},"schema_version":"1.0","source":{"id":"2005.00431","kind":"arxiv","version":2}},"canonical_sha256":"be26c036b789216b827809c79daeef496cad75c772d4b121d3e73d2fd299b33d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be26c036b789216b827809c79daeef496cad75c772d4b121d3e73d2fd299b33d","first_computed_at":"2026-07-05T01:02:17.963013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:02:17.963013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"swxZvcdvNtyUSU9F8PEjn//67fwr39rYbizWcidaC9DlJofJbJsHz2nvYaG6Sn3TOIySF+oVcU9iyruyZMtPDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:02:17.963415Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.00431","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a6c992a9f4c397f11d2b29b977b433071619e1ba8d40b5bed9d5c4f5fdfb1ee","sha256:3be3a209d56f0019f3d39fd7d056b60b33c0cabca70a2e9b517804db8ecb1df4"],"state_sha256":"84e04a698bed307aab495687ac74fc940eacbd9343385726780d99da7793bc0f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v45K0biIdAI+uZaLelncUPTjWH2Q6QhzfAbalKJ0Qx2jfnj/ozjsaQR71wgXnMFQXEiPDip2rNnc76tXQVzYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T10:41:07.175513Z","bundle_sha256":"e0a941db7191abaecb503271a5b7e4f8533e518701eae3567bf348a2fba3b669"}}