{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:BN6BLM4J7VIXEGTWCTC6QUK6PY","short_pith_number":"pith:BN6BLM4J","canonical_record":{"source":{"id":"2505.23188","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-29T07:26:48Z","cross_cats_sorted":[],"title_canon_sha256":"ccf844c92b6398215acc716b0a1e51c9a3eb031c0dadc78188416f9c71f78656","abstract_canon_sha256":"edc5c0ddda25eef9afc44eb8424fdb149ada00a2c8888c63714cd4c813d4e356"},"schema_version":"1.0"},"canonical_sha256":"0b7c15b389fd51721a7614c5e8515e7e230303a0aa83701347fdbeaa02770535","source":{"kind":"arxiv","id":"2505.23188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23188","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23188v1","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23188","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"pith_short_12","alias_value":"BN6BLM4J7VIX","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"pith_short_16","alias_value":"BN6BLM4J7VIXEGTW","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"pith_short_8","alias_value":"BN6BLM4J","created_at":"2026-07-05T11:11:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:BN6BLM4J7VIXEGTWCTC6QUK6PY","target":"record","payload":{"canonical_record":{"source":{"id":"2505.23188","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-29T07:26:48Z","cross_cats_sorted":[],"title_canon_sha256":"ccf844c92b6398215acc716b0a1e51c9a3eb031c0dadc78188416f9c71f78656","abstract_canon_sha256":"edc5c0ddda25eef9afc44eb8424fdb149ada00a2c8888c63714cd4c813d4e356"},"schema_version":"1.0"},"canonical_sha256":"0b7c15b389fd51721a7614c5e8515e7e230303a0aa83701347fdbeaa02770535","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:57.221801Z","signature_b64":"6e33KgjS0D0SOnrIE+T9dtMIqBdkdwFDO6JLdqARmsYjO6FIBYd1YHcAJlNvqAfHz0bkkRRZFol6DybryPNVCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b7c15b389fd51721a7614c5e8515e7e230303a0aa83701347fdbeaa02770535","last_reissued_at":"2026-07-05T11:11:57.221286Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:57.221286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.23188","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":"2026-07-05T11:11:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ImFj3mYoY8ABfjZUmCA+70wgJpHzQ8/e5SjtFjNtWx1hLT27nkL9MBrY9ajyVFQXS84ZZpEgkW1Ttmh9d5PgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:56:29.359995Z"},"content_sha256":"82f4ffe37e20554bf45a272fb54dca1e70e22884563b58502c992a6e17157e00","schema_version":"1.0","event_id":"sha256:82f4ffe37e20554bf45a272fb54dca1e70e22884563b58502c992a6e17157e00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:BN6BLM4J7VIXEGTWCTC6QUK6PY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical phenomenon of quantum BTZ black holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hong-Ming Cui, Zhong-Ying Fan","submitted_at":"2025-05-29T07:26:48Z","abstract_excerpt":"We extend the thermodynamics of quantum BTZ black holes by treating the quantum backreaction strength parameter $\\nu$ as a thermodynamic variable. We find various novel features. The critical point appears at $\\nu_c=1$ and a first order transition occurs either below the critical temperature for $\\nu<\\nu_c$ or above the critical temperature for $\\nu>\\nu_c$. By solving the coexistence curve analytically, we analyze the phase structures and clarify an unexpected discontinuity around the critical point. The critical exponents are significantly different from the mean field theory results and viol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23188","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/2505.23188/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":"2026-07-05T11:11:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HLPUnTj8ziIn1JHxakTM4/iGCr4eDrlDgNZUqFiukkNEWXT5/AcXrAs9qF2TU2+rQTP/bHhYkfvQZSDTSPqzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:56:29.360497Z"},"content_sha256":"483d4c713dc45755d8b5dd36cf8ab0b5ff152aea5ab5c264a3399016133ffef7","schema_version":"1.0","event_id":"sha256:483d4c713dc45755d8b5dd36cf8ab0b5ff152aea5ab5c264a3399016133ffef7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY/bundle.json","state_url":"https://pith.science/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY/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":"2026-08-09T07:56:29Z","links":{"resolver":"https://pith.science/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY","bundle":"https://pith.science/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY/bundle.json","state":"https://pith.science/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BN6BLM4J7VIXEGTWCTC6QUK6PY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BN6BLM4J7VIXEGTWCTC6QUK6PY","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":"edc5c0ddda25eef9afc44eb8424fdb149ada00a2c8888c63714cd4c813d4e356","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-29T07:26:48Z","title_canon_sha256":"ccf844c92b6398215acc716b0a1e51c9a3eb031c0dadc78188416f9c71f78656"},"schema_version":"1.0","source":{"id":"2505.23188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23188","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23188v1","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23188","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"pith_short_12","alias_value":"BN6BLM4J7VIX","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"pith_short_16","alias_value":"BN6BLM4J7VIXEGTW","created_at":"2026-07-05T11:11:57Z"},{"alias_kind":"pith_short_8","alias_value":"BN6BLM4J","created_at":"2026-07-05T11:11:57Z"}],"graph_snapshots":[{"event_id":"sha256:483d4c713dc45755d8b5dd36cf8ab0b5ff152aea5ab5c264a3399016133ffef7","target":"graph","created_at":"2026-07-05T11:11:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.23188/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the thermodynamics of quantum BTZ black holes by treating the quantum backreaction strength parameter $\\nu$ as a thermodynamic variable. We find various novel features. The critical point appears at $\\nu_c=1$ and a first order transition occurs either below the critical temperature for $\\nu<\\nu_c$ or above the critical temperature for $\\nu>\\nu_c$. By solving the coexistence curve analytically, we analyze the phase structures and clarify an unexpected discontinuity around the critical point. The critical exponents are significantly different from the mean field theory results and viol","authors_text":"Hong-Ming Cui, Zhong-Ying Fan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-29T07:26:48Z","title":"Critical phenomenon of quantum BTZ black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23188","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":"sha256:82f4ffe37e20554bf45a272fb54dca1e70e22884563b58502c992a6e17157e00","target":"record","created_at":"2026-07-05T11:11:57Z","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":"edc5c0ddda25eef9afc44eb8424fdb149ada00a2c8888c63714cd4c813d4e356","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-29T07:26:48Z","title_canon_sha256":"ccf844c92b6398215acc716b0a1e51c9a3eb031c0dadc78188416f9c71f78656"},"schema_version":"1.0","source":{"id":"2505.23188","kind":"arxiv","version":1}},"canonical_sha256":"0b7c15b389fd51721a7614c5e8515e7e230303a0aa83701347fdbeaa02770535","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b7c15b389fd51721a7614c5e8515e7e230303a0aa83701347fdbeaa02770535","first_computed_at":"2026-07-05T11:11:57.221286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:57.221286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6e33KgjS0D0SOnrIE+T9dtMIqBdkdwFDO6JLdqARmsYjO6FIBYd1YHcAJlNvqAfHz0bkkRRZFol6DybryPNVCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:57.221801Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.23188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82f4ffe37e20554bf45a272fb54dca1e70e22884563b58502c992a6e17157e00","sha256:483d4c713dc45755d8b5dd36cf8ab0b5ff152aea5ab5c264a3399016133ffef7"],"state_sha256":"cb9450cffc0508a1473b76bebf66f274f0d6a6c845e116637c851e421dba71b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p4ULel0hjx1X7TBMmakHKwP3NAPOa+y37bCR75ka60Ppt+/sXGe2rFn3VgTU8J6EfPxUCE3SU1gE1SdFJP52Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:56:29.365485Z","bundle_sha256":"2da0febaed4f06966166d48815e63df5f2df6d39f74d9c2059b5d8a59485195e"}}