{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:VLOSOCFUKVWVSGFQLJZP65KS3M","short_pith_number":"pith:VLOSOCFU","canonical_record":{"source":{"id":"2209.00206","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-01T03:44:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"14534c60cc977c0dba391d8ec03d0ad020741fd85409862ec41bbd297930c5a9","abstract_canon_sha256":"122292da61e10ce952cf9671b3acd9afdac8272a7e8033e0cb0807a0f1fc68ed"},"schema_version":"1.0"},"canonical_sha256":"aadd2708b4556d5918b05a72ff7552db0dba0958d91e790857f28086e2f4c539","source":{"kind":"arxiv","id":"2209.00206","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.00206","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"arxiv_version","alias_value":"2209.00206v2","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.00206","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"pith_short_12","alias_value":"VLOSOCFUKVWV","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"pith_short_16","alias_value":"VLOSOCFUKVWVSGFQ","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"pith_short_8","alias_value":"VLOSOCFU","created_at":"2026-07-05T05:26:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:VLOSOCFUKVWVSGFQLJZP65KS3M","target":"record","payload":{"canonical_record":{"source":{"id":"2209.00206","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-01T03:44:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"14534c60cc977c0dba391d8ec03d0ad020741fd85409862ec41bbd297930c5a9","abstract_canon_sha256":"122292da61e10ce952cf9671b3acd9afdac8272a7e8033e0cb0807a0f1fc68ed"},"schema_version":"1.0"},"canonical_sha256":"aadd2708b4556d5918b05a72ff7552db0dba0958d91e790857f28086e2f4c539","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:26:48.064299Z","signature_b64":"jdnH0YNNLsA7PJDe6JQAbX7+4lzZpS4RZdnE4yahvoqak5OHOl8rNFqjV59kxpGGnTD63yGjqWIm7qKlma2UBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aadd2708b4556d5918b05a72ff7552db0dba0958d91e790857f28086e2f4c539","last_reissued_at":"2026-07-05T05:26:48.063880Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:26:48.063880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.00206","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":"2026-07-05T05:26:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ikS2h2JNqsIEJDPN2tr5c/pAe5aKeqPlhS3OEwfX6KZV2WVoDYgF4CGSZr2yZLAWNRik13C61kSODaAaRDJpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T21:23:09.563834Z"},"content_sha256":"dc65d9c42aeb86ed104c4cb3555dc57b0f19cb6fd294ab6aa9451a2cc323a5f8","schema_version":"1.0","event_id":"sha256:dc65d9c42aeb86ed104c4cb3555dc57b0f19cb6fd294ab6aa9451a2cc323a5f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:VLOSOCFUKVWVSGFQLJZP65KS3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Tadashi Takayanagi, Takashi Tsuda","submitted_at":"2022-09-01T03:44:20Z","abstract_excerpt":"In this paper we study the properties of two-dimensional CFTs defined by cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing on the partition function and entanglement entropy. Via the bosonization, we construct the twist operators which glue two complex planes to calculate the partition function of Z_2 orbifold CFT on a torus. We also find an expression of Z_N cyclic orbifold in terms of Hecke operators, which provides an explicit relation between the partition functions of cyclic orbifolds and those of symmetric ones. We compute the entanglement entropy and Renyi en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.00206","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/2209.00206/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":"2026-07-05T05:26:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZUCCYtxW3FTMFfnbn1oMpuKE/qbwLZJtv74mDxzlYlYwK3Yh+KtjSeDtQUvCL6NS63quHTk0b6R6LnEJ4eMDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T21:23:09.564359Z"},"content_sha256":"2811ae86720c5bb39bf31b65f63b673f233e28af7de4dbea5686977ea3aa0dfa","schema_version":"1.0","event_id":"sha256:2811ae86720c5bb39bf31b65f63b673f233e28af7de4dbea5686977ea3aa0dfa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLOSOCFUKVWVSGFQLJZP65KS3M/bundle.json","state_url":"https://pith.science/pith/VLOSOCFUKVWVSGFQLJZP65KS3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLOSOCFUKVWVSGFQLJZP65KS3M/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":"2026-08-15T21:23:09Z","links":{"resolver":"https://pith.science/pith/VLOSOCFUKVWVSGFQLJZP65KS3M","bundle":"https://pith.science/pith/VLOSOCFUKVWVSGFQLJZP65KS3M/bundle.json","state":"https://pith.science/pith/VLOSOCFUKVWVSGFQLJZP65KS3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLOSOCFUKVWVSGFQLJZP65KS3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VLOSOCFUKVWVSGFQLJZP65KS3M","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":"122292da61e10ce952cf9671b3acd9afdac8272a7e8033e0cb0807a0f1fc68ed","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-01T03:44:20Z","title_canon_sha256":"14534c60cc977c0dba391d8ec03d0ad020741fd85409862ec41bbd297930c5a9"},"schema_version":"1.0","source":{"id":"2209.00206","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.00206","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"arxiv_version","alias_value":"2209.00206v2","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.00206","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"pith_short_12","alias_value":"VLOSOCFUKVWV","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"pith_short_16","alias_value":"VLOSOCFUKVWVSGFQ","created_at":"2026-07-05T05:26:48Z"},{"alias_kind":"pith_short_8","alias_value":"VLOSOCFU","created_at":"2026-07-05T05:26:48Z"}],"graph_snapshots":[{"event_id":"sha256:2811ae86720c5bb39bf31b65f63b673f233e28af7de4dbea5686977ea3aa0dfa","target":"graph","created_at":"2026-07-05T05:26:48Z","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/2209.00206/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we study the properties of two-dimensional CFTs defined by cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing on the partition function and entanglement entropy. Via the bosonization, we construct the twist operators which glue two complex planes to calculate the partition function of Z_2 orbifold CFT on a torus. We also find an expression of Z_N cyclic orbifold in terms of Hecke operators, which provides an explicit relation between the partition functions of cyclic orbifolds and those of symmetric ones. We compute the entanglement entropy and Renyi en","authors_text":"Tadashi Takayanagi, Takashi Tsuda","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-01T03:44:20Z","title":"Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.00206","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:dc65d9c42aeb86ed104c4cb3555dc57b0f19cb6fd294ab6aa9451a2cc323a5f8","target":"record","created_at":"2026-07-05T05:26:48Z","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":"122292da61e10ce952cf9671b3acd9afdac8272a7e8033e0cb0807a0f1fc68ed","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-09-01T03:44:20Z","title_canon_sha256":"14534c60cc977c0dba391d8ec03d0ad020741fd85409862ec41bbd297930c5a9"},"schema_version":"1.0","source":{"id":"2209.00206","kind":"arxiv","version":2}},"canonical_sha256":"aadd2708b4556d5918b05a72ff7552db0dba0958d91e790857f28086e2f4c539","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aadd2708b4556d5918b05a72ff7552db0dba0958d91e790857f28086e2f4c539","first_computed_at":"2026-07-05T05:26:48.063880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:26:48.063880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jdnH0YNNLsA7PJDe6JQAbX7+4lzZpS4RZdnE4yahvoqak5OHOl8rNFqjV59kxpGGnTD63yGjqWIm7qKlma2UBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:26:48.064299Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.00206","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc65d9c42aeb86ed104c4cb3555dc57b0f19cb6fd294ab6aa9451a2cc323a5f8","sha256:2811ae86720c5bb39bf31b65f63b673f233e28af7de4dbea5686977ea3aa0dfa"],"state_sha256":"7ecf35b10b5ad281f15e7df4bf570bdb6367dea5616e5a511c0b4b28008ac4df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HWbd7F1zAyhG83ryUbGnBUN72MuvxmF3uW/ttHYV+Q3PcYh6q6COE8ZRQbsFlQ4RLOD+ivLwpikle13BUUp7BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T21:23:09.568352Z","bundle_sha256":"85366128dceb239663263454251c19cd27953257fa02378f39e830fe70f9987b"}}