{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:L3ZDAWFDQAX7O6C56CYCLNJZXX","short_pith_number":"pith:L3ZDAWFD","canonical_record":{"source":{"id":"1505.05517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-20T20:01:28Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1b4ee43774f80ff3ce1af86b3c5284f629c1a4c1b83be7d776748ec68d46c2e9","abstract_canon_sha256":"cb40e3c1e827ab3fc7ce67cf5663189ef8fb289bad558539d260c36c867b2d7a"},"schema_version":"1.0"},"canonical_sha256":"5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515","source":{"kind":"arxiv","id":"1505.05517","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05517","created_at":"2026-05-18T01:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05517v2","created_at":"2026-05-18T01:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05517","created_at":"2026-05-18T01:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"L3ZDAWFDQAX7","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3ZDAWFDQAX7O6C5","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3ZDAWFD","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:L3ZDAWFDQAX7O6C56CYCLNJZXX","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05517","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-20T20:01:28Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1b4ee43774f80ff3ce1af86b3c5284f629c1a4c1b83be7d776748ec68d46c2e9","abstract_canon_sha256":"cb40e3c1e827ab3fc7ce67cf5663189ef8fb289bad558539d260c36c867b2d7a"},"schema_version":"1.0"},"canonical_sha256":"5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:47.691131Z","signature_b64":"bCDWyrJieGnqCRucbvlSMbq6FkT3WKZseXojeAb+oY+o1LK5USwbuTJTB1H/jGF1BWYaxnNMwysUBQNdK5hlCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515","last_reissued_at":"2026-05-18T01:35:47.690364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:47.690364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05517","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":"2026-05-18T01:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pmT7FKpMVveUWYqp1CKm3YozA451ePBZmEh2153Wds5pmLZfF+TzPvsblNoz3FEKMXGB7sco/Bo8Rn0xQG+7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:19:12.113165Z"},"content_sha256":"0f2fda7290a3260f608ab51031b50300012c2600cf7d56952871c31630e53cc7","schema_version":"1.0","event_id":"sha256:0f2fda7290a3260f608ab51031b50300012c2600cf7d56952871c31630e53cc7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:L3ZDAWFDQAX7O6C56CYCLNJZXX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"P-V Criticality in Quasitopological Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Robert B. Mann, Robie A. Hennigar, Wilson G. Brenna","submitted_at":"2015-05-20T20:01:28Z","abstract_excerpt":"We investigate the thermodynamic behaviour of AdS quasitopological black hole solutions in the context of extended thermodynamic phase space, in which the cosmological constant induces a pressure with a conjugate volume. We find that the third order exact quasitopological solution exhibits features consistent with the third order Lovelock solutions for positive quasitopological coupling, including multiple reentrant phase transitions and isolated critical points. For negative coupling we find the first instances of both reentrant phase transitions and thermodynamic singularities in five dimens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05517","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":"2026-05-18T01:35:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ahb3TAAlvjvm9OfapGkl/LKtWi4LzAMWoyP/R493cGbBUV8zZGae/j7sirkFgMMGqJvi5V8mK5MoA4Pg8ijCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:19:12.113805Z"},"content_sha256":"ef736cd9bc233f7501d02aa374f3acb29834d1bd4a7db22c61205af6f339d056","schema_version":"1.0","event_id":"sha256:ef736cd9bc233f7501d02aa374f3acb29834d1bd4a7db22c61205af6f339d056"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX/bundle.json","state_url":"https://pith.science/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX/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":"2026-06-06T19:19:12Z","links":{"resolver":"https://pith.science/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX","bundle":"https://pith.science/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX/bundle.json","state":"https://pith.science/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3ZDAWFDQAX7O6C56CYCLNJZXX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:L3ZDAWFDQAX7O6C56CYCLNJZXX","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":"cb40e3c1e827ab3fc7ce67cf5663189ef8fb289bad558539d260c36c867b2d7a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-20T20:01:28Z","title_canon_sha256":"1b4ee43774f80ff3ce1af86b3c5284f629c1a4c1b83be7d776748ec68d46c2e9"},"schema_version":"1.0","source":{"id":"1505.05517","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05517","created_at":"2026-05-18T01:35:47Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05517v2","created_at":"2026-05-18T01:35:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05517","created_at":"2026-05-18T01:35:47Z"},{"alias_kind":"pith_short_12","alias_value":"L3ZDAWFDQAX7","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3ZDAWFDQAX7O6C5","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3ZDAWFD","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:ef736cd9bc233f7501d02aa374f3acb29834d1bd4a7db22c61205af6f339d056","target":"graph","created_at":"2026-05-18T01:35:47Z","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 investigate the thermodynamic behaviour of AdS quasitopological black hole solutions in the context of extended thermodynamic phase space, in which the cosmological constant induces a pressure with a conjugate volume. We find that the third order exact quasitopological solution exhibits features consistent with the third order Lovelock solutions for positive quasitopological coupling, including multiple reentrant phase transitions and isolated critical points. For negative coupling we find the first instances of both reentrant phase transitions and thermodynamic singularities in five dimens","authors_text":"Robert B. Mann, Robie A. Hennigar, Wilson G. Brenna","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-20T20:01:28Z","title":"P-V Criticality in Quasitopological Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05517","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":"sha256:0f2fda7290a3260f608ab51031b50300012c2600cf7d56952871c31630e53cc7","target":"record","created_at":"2026-05-18T01:35:47Z","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":"cb40e3c1e827ab3fc7ce67cf5663189ef8fb289bad558539d260c36c867b2d7a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-05-20T20:01:28Z","title_canon_sha256":"1b4ee43774f80ff3ce1af86b3c5284f629c1a4c1b83be7d776748ec68d46c2e9"},"schema_version":"1.0","source":{"id":"1505.05517","kind":"arxiv","version":2}},"canonical_sha256":"5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ef23058a3802ff7785df0b025b539bdc64a8f78798fb7699a0f7e36aa2ee515","first_computed_at":"2026-05-18T01:35:47.690364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:47.690364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bCDWyrJieGnqCRucbvlSMbq6FkT3WKZseXojeAb+oY+o1LK5USwbuTJTB1H/jGF1BWYaxnNMwysUBQNdK5hlCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:47.691131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05517","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f2fda7290a3260f608ab51031b50300012c2600cf7d56952871c31630e53cc7","sha256:ef736cd9bc233f7501d02aa374f3acb29834d1bd4a7db22c61205af6f339d056"],"state_sha256":"33188f00d5c3700a46be90d36ce22202cdd2d9ad09ad15349dcaf7e731e2f800"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u269pRofS4NB8goavM+lhsBb3e3Br7pI18jpghUndmSaCUkGJR6l4Wmgy8eCVlLeRLFz/G/k44YDXOD7ZYYECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:19:12.117067Z","bundle_sha256":"995208c8857235fbb87907f43ab6e49ffcaea6d0e45272e8d3f256eff1c1a822"}}