{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FBZAWCGZIUMXM2AQEGNI4LFNLP","short_pith_number":"pith:FBZAWCGZ","canonical_record":{"source":{"id":"1006.3510","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-17T16:35:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"976f6d6363e81779884dac6cfd867acd3f5e586660afefb6472bac5d6bb8aa96","abstract_canon_sha256":"4512ba7b43ed6a2e758261df04f6ed4769f9153356a6159c965088d29dffa76b"},"schema_version":"1.0"},"canonical_sha256":"28720b08d94519766810219a8e2cad5bccb0bc6f26106653031951ac555257a0","source":{"kind":"arxiv","id":"1006.3510","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3510","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3510v2","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3510","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"FBZAWCGZIUMX","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"FBZAWCGZIUMXM2AQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"FBZAWCGZ","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FBZAWCGZIUMXM2AQEGNI4LFNLP","target":"record","payload":{"canonical_record":{"source":{"id":"1006.3510","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-17T16:35:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"976f6d6363e81779884dac6cfd867acd3f5e586660afefb6472bac5d6bb8aa96","abstract_canon_sha256":"4512ba7b43ed6a2e758261df04f6ed4769f9153356a6159c965088d29dffa76b"},"schema_version":"1.0"},"canonical_sha256":"28720b08d94519766810219a8e2cad5bccb0bc6f26106653031951ac555257a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:16.644833Z","signature_b64":"XbJaY0lZh0vScbxyfKNiUchs7QVvB9qbZRp5EManeWm4KlGrOQXcdC/EeEGGpMVpNelt87aWFSQVwtqB8kPyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28720b08d94519766810219a8e2cad5bccb0bc6f26106653031951ac555257a0","last_reissued_at":"2026-05-18T02:33:16.644126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:16.644126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.3510","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":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I7HDN5IhxFb/GcRFwsI3Hvvy+HtC68H/jU3WA95MuOOKe2o9jvFXM01MxK/tIDIca02laR/B1RPnnsx62JGPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:42:14.063365Z"},"content_sha256":"32033ec835cecf4e6a4b784569c8255186617f7626bfd22128b210de180598bf","schema_version":"1.0","event_id":"sha256:32033ec835cecf4e6a4b784569c8255186617f7626bfd22128b210de180598bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FBZAWCGZIUMXM2AQEGNI4LFNLP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of Lovelock-Lifshitz Black Branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"M. H. Dehghani, R. B. Mann","submitted_at":"2010-06-17T16:35:05Z","abstract_excerpt":"We investigate the thermodynamics of Lovelock-Lifshitz black branes. We begin by introducing the finite action of third order Lovelock gravity in the presence of a massive vector field for a flat boundary, and use it to compute the energy density of these black branes. Using the field equations, we find a conserved quantity along the $r$ coordinate that relates the metric parameters at the horizon and at infinity. Remarkably, though the subleading large-$r$ behavior of Lovelock-Lifshitz black branes differs substantively from their Einsteinian Lifshitz counterparts, we find that the relationsh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3510","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":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sGliXKpZlH8Ee7nQUU6LL2wKVHY1+udcbuPxNa+yHzaOHWS1boPHdOBl3/KaBruXQs+kHjbb5TmAR60vfwYXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:42:14.064179Z"},"content_sha256":"ba80e0f2da079ae884414e5252b278e96a9f8e1b16071f4edc90c552714c412f","schema_version":"1.0","event_id":"sha256:ba80e0f2da079ae884414e5252b278e96a9f8e1b16071f4edc90c552714c412f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP/bundle.json","state_url":"https://pith.science/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP/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":"2026-05-31T14:42:14Z","links":{"resolver":"https://pith.science/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP","bundle":"https://pith.science/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP/bundle.json","state":"https://pith.science/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FBZAWCGZIUMXM2AQEGNI4LFNLP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FBZAWCGZIUMXM2AQEGNI4LFNLP","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":"4512ba7b43ed6a2e758261df04f6ed4769f9153356a6159c965088d29dffa76b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-17T16:35:05Z","title_canon_sha256":"976f6d6363e81779884dac6cfd867acd3f5e586660afefb6472bac5d6bb8aa96"},"schema_version":"1.0","source":{"id":"1006.3510","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3510","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3510v2","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3510","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"FBZAWCGZIUMX","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"FBZAWCGZIUMXM2AQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"FBZAWCGZ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:ba80e0f2da079ae884414e5252b278e96a9f8e1b16071f4edc90c552714c412f","target":"graph","created_at":"2026-05-18T02:33:16Z","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 thermodynamics of Lovelock-Lifshitz black branes. We begin by introducing the finite action of third order Lovelock gravity in the presence of a massive vector field for a flat boundary, and use it to compute the energy density of these black branes. Using the field equations, we find a conserved quantity along the $r$ coordinate that relates the metric parameters at the horizon and at infinity. Remarkably, though the subleading large-$r$ behavior of Lovelock-Lifshitz black branes differs substantively from their Einsteinian Lifshitz counterparts, we find that the relationsh","authors_text":"M. H. Dehghani, R. B. Mann","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-17T16:35:05Z","title":"Thermodynamics of Lovelock-Lifshitz Black Branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3510","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":"sha256:32033ec835cecf4e6a4b784569c8255186617f7626bfd22128b210de180598bf","target":"record","created_at":"2026-05-18T02:33:16Z","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":"4512ba7b43ed6a2e758261df04f6ed4769f9153356a6159c965088d29dffa76b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-17T16:35:05Z","title_canon_sha256":"976f6d6363e81779884dac6cfd867acd3f5e586660afefb6472bac5d6bb8aa96"},"schema_version":"1.0","source":{"id":"1006.3510","kind":"arxiv","version":2}},"canonical_sha256":"28720b08d94519766810219a8e2cad5bccb0bc6f26106653031951ac555257a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28720b08d94519766810219a8e2cad5bccb0bc6f26106653031951ac555257a0","first_computed_at":"2026-05-18T02:33:16.644126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:16.644126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XbJaY0lZh0vScbxyfKNiUchs7QVvB9qbZRp5EManeWm4KlGrOQXcdC/EeEGGpMVpNelt87aWFSQVwtqB8kPyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:16.644833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3510","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32033ec835cecf4e6a4b784569c8255186617f7626bfd22128b210de180598bf","sha256:ba80e0f2da079ae884414e5252b278e96a9f8e1b16071f4edc90c552714c412f"],"state_sha256":"97479fee680ea7b7c75b76a4cff9fb087121aa53e48c97944327d22bc4b93ff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rrmZPdwACBBS5xDRKyaG4kPJVETyq+2h+RqD25lFg4WUCHEab3TW6+TxhNxnRC89lHhqipL702V6wvACL41rAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:42:14.068022Z","bundle_sha256":"99a8d9c1f6d20c60458b76239831f4f99723b5b130169ea2815e70895aeb88c6"}}