{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:LML5NRAYOQDT4V6PASXNNOI7LH","short_pith_number":"pith:LML5NRAY","canonical_record":{"source":{"id":"0710.1825","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-10-09T17:14:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5f03ec3de8d59ee9c2149fd2458d3cdac8a30c550411041ca61a7ccedc4fecd8","abstract_canon_sha256":"f581203d66a895762e665b02f21c3d61dc3d28a5807cf2920653d90292754a25"},"schema_version":"1.0"},"canonical_sha256":"5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431","source":{"kind":"arxiv","id":"0710.1825","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1825","created_at":"2026-05-18T02:35:24Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1825v1","created_at":"2026-05-18T02:35:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1825","created_at":"2026-05-18T02:35:24Z"},{"alias_kind":"pith_short_12","alias_value":"LML5NRAYOQDT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LML5NRAYOQDT4V6P","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LML5NRAY","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:LML5NRAYOQDT4V6PASXNNOI7LH","target":"record","payload":{"canonical_record":{"source":{"id":"0710.1825","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-10-09T17:14:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5f03ec3de8d59ee9c2149fd2458d3cdac8a30c550411041ca61a7ccedc4fecd8","abstract_canon_sha256":"f581203d66a895762e665b02f21c3d61dc3d28a5807cf2920653d90292754a25"},"schema_version":"1.0"},"canonical_sha256":"5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:24.587908Z","signature_b64":"Z4Z6ylkTMcVFE8Xk5bq0+hWBYmsH5APNteJ4cIw/PFcpEwMnKGdP8XgTtWJMQ0Ly+USS6bl8ZcPB7O95+BOkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431","last_reissued_at":"2026-05-18T02:35:24.587298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:24.587298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.1825","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":"2026-05-18T02:35:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F7KbnS6pwugK31LXYuzfEI/ROq3wvOt0J2Z9u0SqpYNI8++phRuVTbeAMy3VvdqSg4eVyd7g/vSMxFTKuASyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:01.947858Z"},"content_sha256":"480ca55ab687f833ad0a3d8a1d746b79d1a9ba48940f26a44855583f4781f3d5","schema_version":"1.0","event_id":"sha256:480ca55ab687f833ad0a3d8a1d746b79d1a9ba48940f26a44855583f4781f3d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:LML5NRAYOQDT4V6PASXNNOI7LH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of Charged BTZ Black Holes and Effective String Theory","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Alexis Larranaga","submitted_at":"2007-10-09T17:14:48Z","abstract_excerpt":"In this paper we study the first law of thermodynamics for the (2+1) dimensional charged BTZ black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are similar to the right and left movers of string theory and that the temperature associated with the black hole is the harmonic mean of the temperatures associated with these two systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1825","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":""},"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":"2026-05-18T02:35:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dJQRdzC4ydyEPoq4J9uJm7XH+w/dirSG1ctW7A4FRwwQhXlrgOd84MZn00b7mIRNhaJa5Clsrysan6zPlyWZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:01.948230Z"},"content_sha256":"b1c2493fbd28a0df7f66d169325e82f4d40faf62ee2a45b3cfb7e2a36eeb0e82","schema_version":"1.0","event_id":"sha256:b1c2493fbd28a0df7f66d169325e82f4d40faf62ee2a45b3cfb7e2a36eeb0e82"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LML5NRAYOQDT4V6PASXNNOI7LH/bundle.json","state_url":"https://pith.science/pith/LML5NRAYOQDT4V6PASXNNOI7LH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LML5NRAYOQDT4V6PASXNNOI7LH/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":"2026-05-21T11:59:01Z","links":{"resolver":"https://pith.science/pith/LML5NRAYOQDT4V6PASXNNOI7LH","bundle":"https://pith.science/pith/LML5NRAYOQDT4V6PASXNNOI7LH/bundle.json","state":"https://pith.science/pith/LML5NRAYOQDT4V6PASXNNOI7LH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LML5NRAYOQDT4V6PASXNNOI7LH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:LML5NRAYOQDT4V6PASXNNOI7LH","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":"f581203d66a895762e665b02f21c3d61dc3d28a5807cf2920653d90292754a25","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-10-09T17:14:48Z","title_canon_sha256":"5f03ec3de8d59ee9c2149fd2458d3cdac8a30c550411041ca61a7ccedc4fecd8"},"schema_version":"1.0","source":{"id":"0710.1825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.1825","created_at":"2026-05-18T02:35:24Z"},{"alias_kind":"arxiv_version","alias_value":"0710.1825v1","created_at":"2026-05-18T02:35:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.1825","created_at":"2026-05-18T02:35:24Z"},{"alias_kind":"pith_short_12","alias_value":"LML5NRAYOQDT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LML5NRAYOQDT4V6P","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LML5NRAY","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:b1c2493fbd28a0df7f66d169325e82f4d40faf62ee2a45b3cfb7e2a36eeb0e82","target":"graph","created_at":"2026-05-18T02:35:24Z","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"},"paper":{"abstract_excerpt":"In this paper we study the first law of thermodynamics for the (2+1) dimensional charged BTZ black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are similar to the right and left movers of string theory and that the temperature associated with the black hole is the harmonic mean of the temperatures associated with these two systems.","authors_text":"Alexis Larranaga","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-10-09T17:14:48Z","title":"Thermodynamics of Charged BTZ Black Holes and Effective String Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.1825","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":"sha256:480ca55ab687f833ad0a3d8a1d746b79d1a9ba48940f26a44855583f4781f3d5","target":"record","created_at":"2026-05-18T02:35:24Z","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":"f581203d66a895762e665b02f21c3d61dc3d28a5807cf2920653d90292754a25","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-10-09T17:14:48Z","title_canon_sha256":"5f03ec3de8d59ee9c2149fd2458d3cdac8a30c550411041ca61a7ccedc4fecd8"},"schema_version":"1.0","source":{"id":"0710.1825","kind":"arxiv","version":1}},"canonical_sha256":"5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b17d6c41874073e57cf04aed6b91f59ca8f8b0952087bcb004fd239130b8431","first_computed_at":"2026-05-18T02:35:24.587298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:24.587298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z4Z6ylkTMcVFE8Xk5bq0+hWBYmsH5APNteJ4cIw/PFcpEwMnKGdP8XgTtWJMQ0Ly+USS6bl8ZcPB7O95+BOkBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:24.587908Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.1825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:480ca55ab687f833ad0a3d8a1d746b79d1a9ba48940f26a44855583f4781f3d5","sha256:b1c2493fbd28a0df7f66d169325e82f4d40faf62ee2a45b3cfb7e2a36eeb0e82"],"state_sha256":"5d26971e1d91c7d782684d5c519c1267bdb76a3b6a4c8d22278385ebf8a690c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VUO24J2jaZBKY6D9U6H8Kw6FF7LdI+reap+3cJX89ZjxR0IFQVAtLtsVbTaHSo6xbMQciUqDjpHY+bWWzdKvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T11:59:01.950897Z","bundle_sha256":"e2f23a0323795bad0fb7f982b928bb79347809c6b905db8a265b65242b417566"}}