{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WNM5ZAQOCATDI3B4X35EUBKVO7","short_pith_number":"pith:WNM5ZAQO","canonical_record":{"source":{"id":"1510.06217","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-21T11:36:52Z","cross_cats_sorted":[],"title_canon_sha256":"4425fd4098020c92d2d02970ccc3feba55db8729a7ebc6cb2bafd09bb345d70f","abstract_canon_sha256":"1e645842a5cd79fdc493621b034a31ee150b6bfaf5129437be022f334a892f1a"},"schema_version":"1.0"},"canonical_sha256":"b359dc820e1026346c3cbefa4a055577f20448e45c628d09dba36397f4cf546f","source":{"kind":"arxiv","id":"1510.06217","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06217","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06217v2","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06217","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"pith_short_12","alias_value":"WNM5ZAQOCATD","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WNM5ZAQOCATDI3B4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WNM5ZAQO","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WNM5ZAQOCATDI3B4X35EUBKVO7","target":"record","payload":{"canonical_record":{"source":{"id":"1510.06217","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-21T11:36:52Z","cross_cats_sorted":[],"title_canon_sha256":"4425fd4098020c92d2d02970ccc3feba55db8729a7ebc6cb2bafd09bb345d70f","abstract_canon_sha256":"1e645842a5cd79fdc493621b034a31ee150b6bfaf5129437be022f334a892f1a"},"schema_version":"1.0"},"canonical_sha256":"b359dc820e1026346c3cbefa4a055577f20448e45c628d09dba36397f4cf546f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:44.275967Z","signature_b64":"1IvdlKK5F02LZsLKEF/DfpTIBsJeHUlPXPErXFJH8c/ufqIniwcvFJWBn7AAmfHnH2Dd43lHDIA7pbOoEinAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b359dc820e1026346c3cbefa4a055577f20448e45c628d09dba36397f4cf546f","last_reissued_at":"2026-05-18T01:23:44.275350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:44.275350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.06217","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":"2026-05-18T01:23:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mw1BA/K1/puCw+jYrco3YqpAx80YUAJbSVT+AwW7F+o31cCG36DfaR/ibygUwKKjrlyP7TLPUv5hDgJN71tCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:56:26.156604Z"},"content_sha256":"954588f755d3af8d59e0bd6079125891734548f304c4598f1420b841bc1e92a6","schema_version":"1.0","event_id":"sha256:954588f755d3af8d59e0bd6079125891734548f304c4598f1420b841bc1e92a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WNM5ZAQOCATDI3B4X35EUBKVO7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chong Oh Lee","submitted_at":"2015-10-21T11:36:52Z","abstract_excerpt":"We consider higher dimensional topological Taub-NUT/Bolt-AdS solutions where a cosmological constant is treated as a pressure. The thermodynamic quantities of these solutions are explicitly calculated. Furthermore, we find these thermodynamic quantities satisfy the Clapeyron equation. In particular, a new thermodynamically stable region for the NUT solution is found by studying the Gibbs free energy. Intriguingly, we also find that like the AdS black hole case, the G-T diagram of the Bolt solution has two branches which are joined at a minimum temperature. The Bolt solution with the large radi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06217","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":""},"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":"2026-05-18T01:23:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2SKsbsEg/Zw+jSd7M9JdVEd25wxNFLQ1nV7xvf+rbwdZL9ijB4/JtkbpWushFPaEgRgixownIN05iOFPEOUrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:56:26.156961Z"},"content_sha256":"4229ac8f78b3c3a3c7f59c7f0d3078cd5ff848e9d46fbed728cca8361490c77b","schema_version":"1.0","event_id":"sha256:4229ac8f78b3c3a3c7f59c7f0d3078cd5ff848e9d46fbed728cca8361490c77b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNM5ZAQOCATDI3B4X35EUBKVO7/bundle.json","state_url":"https://pith.science/pith/WNM5ZAQOCATDI3B4X35EUBKVO7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNM5ZAQOCATDI3B4X35EUBKVO7/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":"2026-06-10T19:56:26Z","links":{"resolver":"https://pith.science/pith/WNM5ZAQOCATDI3B4X35EUBKVO7","bundle":"https://pith.science/pith/WNM5ZAQOCATDI3B4X35EUBKVO7/bundle.json","state":"https://pith.science/pith/WNM5ZAQOCATDI3B4X35EUBKVO7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNM5ZAQOCATDI3B4X35EUBKVO7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WNM5ZAQOCATDI3B4X35EUBKVO7","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":"1e645842a5cd79fdc493621b034a31ee150b6bfaf5129437be022f334a892f1a","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-21T11:36:52Z","title_canon_sha256":"4425fd4098020c92d2d02970ccc3feba55db8729a7ebc6cb2bafd09bb345d70f"},"schema_version":"1.0","source":{"id":"1510.06217","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06217","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06217v2","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06217","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"pith_short_12","alias_value":"WNM5ZAQOCATD","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WNM5ZAQOCATDI3B4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WNM5ZAQO","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:4229ac8f78b3c3a3c7f59c7f0d3078cd5ff848e9d46fbed728cca8361490c77b","target":"graph","created_at":"2026-05-18T01:23:44Z","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":"We consider higher dimensional topological Taub-NUT/Bolt-AdS solutions where a cosmological constant is treated as a pressure. The thermodynamic quantities of these solutions are explicitly calculated. Furthermore, we find these thermodynamic quantities satisfy the Clapeyron equation. In particular, a new thermodynamically stable region for the NUT solution is found by studying the Gibbs free energy. Intriguingly, we also find that like the AdS black hole case, the G-T diagram of the Bolt solution has two branches which are joined at a minimum temperature. The Bolt solution with the large radi","authors_text":"Chong Oh Lee","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-21T11:36:52Z","title":"The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06217","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":"sha256:954588f755d3af8d59e0bd6079125891734548f304c4598f1420b841bc1e92a6","target":"record","created_at":"2026-05-18T01:23:44Z","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":"1e645842a5cd79fdc493621b034a31ee150b6bfaf5129437be022f334a892f1a","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-21T11:36:52Z","title_canon_sha256":"4425fd4098020c92d2d02970ccc3feba55db8729a7ebc6cb2bafd09bb345d70f"},"schema_version":"1.0","source":{"id":"1510.06217","kind":"arxiv","version":2}},"canonical_sha256":"b359dc820e1026346c3cbefa4a055577f20448e45c628d09dba36397f4cf546f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b359dc820e1026346c3cbefa4a055577f20448e45c628d09dba36397f4cf546f","first_computed_at":"2026-05-18T01:23:44.275350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:44.275350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1IvdlKK5F02LZsLKEF/DfpTIBsJeHUlPXPErXFJH8c/ufqIniwcvFJWBn7AAmfHnH2Dd43lHDIA7pbOoEinAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:44.275967Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06217","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:954588f755d3af8d59e0bd6079125891734548f304c4598f1420b841bc1e92a6","sha256:4229ac8f78b3c3a3c7f59c7f0d3078cd5ff848e9d46fbed728cca8361490c77b"],"state_sha256":"0560694290d5b0a17f940bad8651c53b63ec6bee819231c32cf098c7c6744f8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4L2pJdZiYnQxlC+855A1WrE9orMiN8EF5sP5JZ49F52zsoJNRPUXanBcLueX03Z+plEv/f9btTl23xIBMhWrCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T19:56:26.158901Z","bundle_sha256":"27ebea4d83bbcabda32bfa45b07da5cba28b1ae3fccd3cfe98b88d8a61e591fb"}}