{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Y4FOS5RPZ4BENXV6EGCRUAQSVD","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":"c7f8cfc1672d6ea5d7ab6bc63fda35d1b0b9a68049d114d0ab463f4f97d702d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-25T09:34:45Z","title_canon_sha256":"e05dbf2b8cf9889f78e5ef3b5ed6e82c111b40e9953c54e9b988da107205c283"},"schema_version":"1.0","source":{"id":"1901.08796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.08796","created_at":"2026-05-17T23:44:57Z"},{"alias_kind":"arxiv_version","alias_value":"1901.08796v1","created_at":"2026-05-17T23:44:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08796","created_at":"2026-05-17T23:44:57Z"},{"alias_kind":"pith_short_12","alias_value":"Y4FOS5RPZ4BE","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Y4FOS5RPZ4BENXV6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Y4FOS5RP","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:af239987c18a85387c9686d2f4150adb7ee2b69c1d6b73997e2be98ee87d8275","target":"graph","created_at":"2026-05-17T23:44:57Z","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":"In this paper we study the R\\'{e}nyi entropy of 2D massless free fermions perturbed by the $T\\bar{T}$ term and the $J\\bar{T}$ term at the first order perturbation. Three cases, the vacuum state of infinite size system with $T\\bar{T}$ perturbation, the excited states of finite size system with $T\\bar{T}$ perturbation, and the vacuum state of infinite size system with $J\\bar{T}$ perturbation, are analyzed. We use the bosonization approach to calculate the perturbative expansions of R\\'{e}nyi entropy. In the bosonization language the twist operator is known explicitly, with which the computation ","authors_text":"Jia-Rui Sun, Yuan Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-25T09:34:45Z","title":"Note on R\\'{e}nyi entropy of 2D perturbed free fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08796","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":"sha256:75aeca316cf693fa5a3e3b1457f2ef4ad0102093e26a647fcb8dad2b04fb519d","target":"record","created_at":"2026-05-17T23:44:57Z","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":"c7f8cfc1672d6ea5d7ab6bc63fda35d1b0b9a68049d114d0ab463f4f97d702d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-25T09:34:45Z","title_canon_sha256":"e05dbf2b8cf9889f78e5ef3b5ed6e82c111b40e9953c54e9b988da107205c283"},"schema_version":"1.0","source":{"id":"1901.08796","kind":"arxiv","version":1}},"canonical_sha256":"c70ae9762fcf0246debe21851a0212a8f3d15ebe7a1d7f4c02b3211d96086b09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c70ae9762fcf0246debe21851a0212a8f3d15ebe7a1d7f4c02b3211d96086b09","first_computed_at":"2026-05-17T23:44:57.615929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:57.615929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"33NanTwHMvbNwy0ZEi0mj4hjX+tLdfBqYdOTquRJnYX+viN9TV52cIaSTtc3WJjfwkxn+RkrvEMKrzDPiaNaCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:57.616532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.08796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75aeca316cf693fa5a3e3b1457f2ef4ad0102093e26a647fcb8dad2b04fb519d","sha256:af239987c18a85387c9686d2f4150adb7ee2b69c1d6b73997e2be98ee87d8275"],"state_sha256":"2f6324594871a899e7829328b91d5e1c00a5ea2317d6b686fba16c6b2934b8d7"}