{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:TO4LJNKO3RFMGEIXM5EUOE73L4","short_pith_number":"pith:TO4LJNKO","canonical_record":{"source":{"id":"hep-th/0508044","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-06T09:56:01Z","cross_cats_sorted":[],"title_canon_sha256":"cbcafe1eadc31502e19a51001bc8558e7fface32f653cd3b18c02cbc2d6152f8","abstract_canon_sha256":"92468457f8f7bf332903c93cc632dc54de70389bd05e5f556b3915077c3d45c6"},"schema_version":"1.0"},"canonical_sha256":"9bb8b4b54edc4ac3111767494713fb5f00ec01c6a5a11ea8121774394733bff9","source":{"kind":"arxiv","id":"hep-th/0508044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0508044","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508044v1","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508044","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"TO4LJNKO3RFM","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"pith_short_16","alias_value":"TO4LJNKO3RFMGEIX","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"pith_short_8","alias_value":"TO4LJNKO","created_at":"2026-07-04T14:32:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:TO4LJNKO3RFMGEIXM5EUOE73L4","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0508044","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-06T09:56:01Z","cross_cats_sorted":[],"title_canon_sha256":"cbcafe1eadc31502e19a51001bc8558e7fface32f653cd3b18c02cbc2d6152f8","abstract_canon_sha256":"92468457f8f7bf332903c93cc632dc54de70389bd05e5f556b3915077c3d45c6"},"schema_version":"1.0"},"canonical_sha256":"9bb8b4b54edc4ac3111767494713fb5f00ec01c6a5a11ea8121774394733bff9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:32:24.996475Z","signature_b64":"QSbauRpdixkz1i3chAL9lAtOqk1LkHvBnrdmwQuDfP4djWdZrgQBK0ql9x3QBtdfRRpKfj0uZTH+i+8raLHCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bb8b4b54edc4ac3111767494713fb5f00ec01c6a5a11ea8121774394733bff9","last_reissued_at":"2026-07-04T14:32:24.996132Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:32:24.996132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0508044","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kb4W7TxpPAfKc8isR1kkGF28aMcVlbiQSAAaiesXMMmBpKL5h/MIevc0m+WYtnL2aeut4jjzEk4C4fucfR/QBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:08:22.497795Z"},"content_sha256":"e1bbcc5c4ca7a896f150537069cbd924dba160c414fd668877f4f6f354747e67","schema_version":"1.0","event_id":"sha256:e1bbcc5c4ca7a896f150537069cbd924dba160c414fd668877f4f6f354747e67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:TO4LJNKO3RFMGEIXM5EUOE73L4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbed Conformal Field Theory on Fluctuating Sphere","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Al.Zamolodchikov","submitted_at":"2005-08-06T09:56:01Z","abstract_excerpt":"General properties of perturbed conformal field theory interacting with quantized Liouville gravity are considered in the simplest case of spherical topology. We discuss both short distance and large distance asymptotic of the partition function. The crossover region is studied numerically for a simple example of the perturbed Yang-Lee model, complemented in general with arbitrary conformal ``spectator'' matter. The latter is not perturbed and remains conformal along the flow, thus giving a control over the Liouville central charge. The partition function is evaluated numerically from combined"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508044","kind":"arxiv","version":1},"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/hep-th/0508044/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":"2026-07-04T14:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+ChfyZzoyEOxG0/V4cJ2zogGFyOCCtXha/8aZK/MVTzRb/PK6YiFHsKcB4IOb3HtuuGDskdfdrE0BpJ+VT4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:08:22.498504Z"},"content_sha256":"963d64f372dfb566a1a49e336864f7f79d7e6cb5b6aaa2f51cb6dfd7c78869f0","schema_version":"1.0","event_id":"sha256:963d64f372dfb566a1a49e336864f7f79d7e6cb5b6aaa2f51cb6dfd7c78869f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TO4LJNKO3RFMGEIXM5EUOE73L4/bundle.json","state_url":"https://pith.science/pith/TO4LJNKO3RFMGEIXM5EUOE73L4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TO4LJNKO3RFMGEIXM5EUOE73L4/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":"2026-08-11T19:08:22Z","links":{"resolver":"https://pith.science/pith/TO4LJNKO3RFMGEIXM5EUOE73L4","bundle":"https://pith.science/pith/TO4LJNKO3RFMGEIXM5EUOE73L4/bundle.json","state":"https://pith.science/pith/TO4LJNKO3RFMGEIXM5EUOE73L4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TO4LJNKO3RFMGEIXM5EUOE73L4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:TO4LJNKO3RFMGEIXM5EUOE73L4","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":"92468457f8f7bf332903c93cc632dc54de70389bd05e5f556b3915077c3d45c6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-08-06T09:56:01Z","title_canon_sha256":"cbcafe1eadc31502e19a51001bc8558e7fface32f653cd3b18c02cbc2d6152f8"},"schema_version":"1.0","source":{"id":"hep-th/0508044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0508044","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508044v1","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508044","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"TO4LJNKO3RFM","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"pith_short_16","alias_value":"TO4LJNKO3RFMGEIX","created_at":"2026-07-04T14:32:24Z"},{"alias_kind":"pith_short_8","alias_value":"TO4LJNKO","created_at":"2026-07-04T14:32:24Z"}],"graph_snapshots":[{"event_id":"sha256:963d64f372dfb566a1a49e336864f7f79d7e6cb5b6aaa2f51cb6dfd7c78869f0","target":"graph","created_at":"2026-07-04T14:32:24Z","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/hep-th/0508044/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"General properties of perturbed conformal field theory interacting with quantized Liouville gravity are considered in the simplest case of spherical topology. We discuss both short distance and large distance asymptotic of the partition function. The crossover region is studied numerically for a simple example of the perturbed Yang-Lee model, complemented in general with arbitrary conformal ``spectator'' matter. The latter is not perturbed and remains conformal along the flow, thus giving a control over the Liouville central charge. The partition function is evaluated numerically from combined","authors_text":"Al.Zamolodchikov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-08-06T09:56:01Z","title":"Perturbed Conformal Field Theory on Fluctuating Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508044","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:e1bbcc5c4ca7a896f150537069cbd924dba160c414fd668877f4f6f354747e67","target":"record","created_at":"2026-07-04T14:32:24Z","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":"92468457f8f7bf332903c93cc632dc54de70389bd05e5f556b3915077c3d45c6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-08-06T09:56:01Z","title_canon_sha256":"cbcafe1eadc31502e19a51001bc8558e7fface32f653cd3b18c02cbc2d6152f8"},"schema_version":"1.0","source":{"id":"hep-th/0508044","kind":"arxiv","version":1}},"canonical_sha256":"9bb8b4b54edc4ac3111767494713fb5f00ec01c6a5a11ea8121774394733bff9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bb8b4b54edc4ac3111767494713fb5f00ec01c6a5a11ea8121774394733bff9","first_computed_at":"2026-07-04T14:32:24.996132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:32:24.996132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QSbauRpdixkz1i3chAL9lAtOqk1LkHvBnrdmwQuDfP4djWdZrgQBK0ql9x3QBtdfRRpKfj0uZTH+i+8raLHCDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:32:24.996475Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0508044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1bbcc5c4ca7a896f150537069cbd924dba160c414fd668877f4f6f354747e67","sha256:963d64f372dfb566a1a49e336864f7f79d7e6cb5b6aaa2f51cb6dfd7c78869f0"],"state_sha256":"489b03c45d81575704a43f6ddb71465d0eafd816a0fe4a45dbe3ec46c3e3dcac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXK6TkSmJq0Kq+04M1J95LsClGq/Ba1xF3rachluPVkHsCkwOWz2l8NdUvzhk0srpmAtAfMOT3WxHgCJ9dPBCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:08:22.503560Z","bundle_sha256":"c7a0524ed6f7894e460c11bd04d630d61e9e91e5fa66622dca36879b9f17f704"}}