{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:QKR74ZWJWWRCPHWELTFYEZG2E5","short_pith_number":"pith:QKR74ZWJ","canonical_record":{"source":{"id":"2606.18432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:26:59Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"02f6ebba925c292f3128d0fd67741cb25bed57c01ebec5cadf29587b69fa5a91","abstract_canon_sha256":"bbc71198dc7cdc0ba09a1611287742d2b247b876ab53024b150352ebde4d2f0f"},"schema_version":"1.0"},"canonical_sha256":"82a3fe66c9b5a2279ec45ccb8264da2749f15d5a34724edce0f1f5a2f0d5ec3a","source":{"kind":"arxiv","id":"2606.18432","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18432","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18432v1","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18432","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"QKR74ZWJWWRC","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_16","alias_value":"QKR74ZWJWWRCPHWE","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_8","alias_value":"QKR74ZWJ","created_at":"2026-06-19T16:11:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:QKR74ZWJWWRCPHWELTFYEZG2E5","target":"record","payload":{"canonical_record":{"source":{"id":"2606.18432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:26:59Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"02f6ebba925c292f3128d0fd67741cb25bed57c01ebec5cadf29587b69fa5a91","abstract_canon_sha256":"bbc71198dc7cdc0ba09a1611287742d2b247b876ab53024b150352ebde4d2f0f"},"schema_version":"1.0"},"canonical_sha256":"82a3fe66c9b5a2279ec45ccb8264da2749f15d5a34724edce0f1f5a2f0d5ec3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:11:01.096356Z","signature_b64":"6IWqD/cOTOFpxSPAva3i4ZXaqfmpkoaMyL2x++btzGh1Dq0ppJwY98nT8h+StiXm5WJgyUAXTWqVk0psyqfzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82a3fe66c9b5a2279ec45ccb8264da2749f15d5a34724edce0f1f5a2f0d5ec3a","last_reissued_at":"2026-06-19T16:11:01.095999Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:11:01.095999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.18432","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":"2026-06-19T16:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cm2C0nXhwRvKpHoaOwNdtQSYqB3KQ7sekdQJffnwnOsxuoNP5xtSWGX0Aq8bRFsEar8RArtN/+j3OoROVuVsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:23:14.236485Z"},"content_sha256":"2f3537e17d3b7884d9b7e0001f2418e0607889b56c6913a1a879666ded100c23","schema_version":"1.0","event_id":"sha256:2f3537e17d3b7884d9b7e0001f2418e0607889b56c6913a1a879666ded100c23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:QKR74ZWJWWRCPHWELTFYEZG2E5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamic Stability and Fluctuations of the (2+1)-dimensional GMG Warped Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Tsvetan Vetsov","submitted_at":"2026-06-16T19:26:59Z","abstract_excerpt":"We investigate the thermodynamic stability and the stochastic thermal fluctuations of the warped black hole solution in three-dimensional General Massive Gravity. We demonstrate that the black hole is thermodynamically unstable and identify the nontrivial Davies phase-transition curves from the behavior of its admissible heat capacities. Going beyond the classical stability analysis, we study thermal fluctuations within a modified finite-time nonequilibrium extension of Ruppeiner's Hessian-based fluctuation theory. For a class of isentropic and isoenergetic processes, we derive exact on-shell "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18432","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/2606.18432/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":"2026-06-19T16:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h24zw7Wmx16yh7AxsrH/nw26NUYY3LacvnyZUhzpFxLj0lHJhN5qBqXZg+QV5cImp1/75tsZSobNbmhb+8raBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:23:14.236917Z"},"content_sha256":"382b8ea03548d11d9cbb23d56d1c7477ea0ef9cd217b819d770a49292653d6e5","schema_version":"1.0","event_id":"sha256:382b8ea03548d11d9cbb23d56d1c7477ea0ef9cd217b819d770a49292653d6e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QKR74ZWJWWRCPHWELTFYEZG2E5/bundle.json","state_url":"https://pith.science/pith/QKR74ZWJWWRCPHWELTFYEZG2E5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QKR74ZWJWWRCPHWELTFYEZG2E5/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":"2026-06-27T19:23:14Z","links":{"resolver":"https://pith.science/pith/QKR74ZWJWWRCPHWELTFYEZG2E5","bundle":"https://pith.science/pith/QKR74ZWJWWRCPHWELTFYEZG2E5/bundle.json","state":"https://pith.science/pith/QKR74ZWJWWRCPHWELTFYEZG2E5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QKR74ZWJWWRCPHWELTFYEZG2E5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QKR74ZWJWWRCPHWELTFYEZG2E5","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":"bbc71198dc7cdc0ba09a1611287742d2b247b876ab53024b150352ebde4d2f0f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:26:59Z","title_canon_sha256":"02f6ebba925c292f3128d0fd67741cb25bed57c01ebec5cadf29587b69fa5a91"},"schema_version":"1.0","source":{"id":"2606.18432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18432","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18432v1","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18432","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"QKR74ZWJWWRC","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_16","alias_value":"QKR74ZWJWWRCPHWE","created_at":"2026-06-19T16:11:01Z"},{"alias_kind":"pith_short_8","alias_value":"QKR74ZWJ","created_at":"2026-06-19T16:11:01Z"}],"graph_snapshots":[{"event_id":"sha256:382b8ea03548d11d9cbb23d56d1c7477ea0ef9cd217b819d770a49292653d6e5","target":"graph","created_at":"2026-06-19T16:11:01Z","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/2606.18432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the thermodynamic stability and the stochastic thermal fluctuations of the warped black hole solution in three-dimensional General Massive Gravity. We demonstrate that the black hole is thermodynamically unstable and identify the nontrivial Davies phase-transition curves from the behavior of its admissible heat capacities. Going beyond the classical stability analysis, we study thermal fluctuations within a modified finite-time nonequilibrium extension of Ruppeiner's Hessian-based fluctuation theory. For a class of isentropic and isoenergetic processes, we derive exact on-shell ","authors_text":"Tsvetan Vetsov","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:26:59Z","title":"Thermodynamic Stability and Fluctuations of the (2+1)-dimensional GMG Warped Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18432","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":"sha256:2f3537e17d3b7884d9b7e0001f2418e0607889b56c6913a1a879666ded100c23","target":"record","created_at":"2026-06-19T16:11:01Z","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":"bbc71198dc7cdc0ba09a1611287742d2b247b876ab53024b150352ebde4d2f0f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-16T19:26:59Z","title_canon_sha256":"02f6ebba925c292f3128d0fd67741cb25bed57c01ebec5cadf29587b69fa5a91"},"schema_version":"1.0","source":{"id":"2606.18432","kind":"arxiv","version":1}},"canonical_sha256":"82a3fe66c9b5a2279ec45ccb8264da2749f15d5a34724edce0f1f5a2f0d5ec3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82a3fe66c9b5a2279ec45ccb8264da2749f15d5a34724edce0f1f5a2f0d5ec3a","first_computed_at":"2026-06-19T16:11:01.095999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:01.095999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6IWqD/cOTOFpxSPAva3i4ZXaqfmpkoaMyL2x++btzGh1Dq0ppJwY98nT8h+StiXm5WJgyUAXTWqVk0psyqfzAw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:01.096356Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.18432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f3537e17d3b7884d9b7e0001f2418e0607889b56c6913a1a879666ded100c23","sha256:382b8ea03548d11d9cbb23d56d1c7477ea0ef9cd217b819d770a49292653d6e5"],"state_sha256":"d5c7171cf2cadfeabd38143530ff4cca69d882bfdbf88659de53773d90bbe320"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qBsDkQcVeNEncObpDyPUSR5LggU/Tux1rMqGBNsLmK5StxBtOslUHfUeVAgIJOtk88TX9GdrBdpXMq1BaSwCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T19:23:14.238856Z","bundle_sha256":"d71d8a49a0f7454eba97140206ca96801a09c35aab2e1caab8e084d77c450a07"}}