{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EYANSFQ526NFH6CP4DN7NQDJXW","short_pith_number":"pith:EYANSFQ5","canonical_record":{"source":{"id":"1701.04992","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-18T09:51:58Z","cross_cats_sorted":[],"title_canon_sha256":"7cf7d96419f16da3bc016696848bfdb7bcdd4eaa9708c62da237136d00f2d9c2","abstract_canon_sha256":"f7c8f3e7fb9e4165b317c2adef37455464f20cd3fe8e3b6dbff9683fa061dea2"},"schema_version":"1.0"},"canonical_sha256":"2600d9161dd79a53f84fe0dbf6c069bd89985786e2d40bd059a31674b4ea43d7","source":{"kind":"arxiv","id":"1701.04992","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04992","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04992v3","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04992","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"EYANSFQ526NF","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EYANSFQ526NFH6CP","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EYANSFQ5","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EYANSFQ526NFH6CP4DN7NQDJXW","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04992","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-18T09:51:58Z","cross_cats_sorted":[],"title_canon_sha256":"7cf7d96419f16da3bc016696848bfdb7bcdd4eaa9708c62da237136d00f2d9c2","abstract_canon_sha256":"f7c8f3e7fb9e4165b317c2adef37455464f20cd3fe8e3b6dbff9683fa061dea2"},"schema_version":"1.0"},"canonical_sha256":"2600d9161dd79a53f84fe0dbf6c069bd89985786e2d40bd059a31674b4ea43d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:12.476547Z","signature_b64":"Vs46P+Kv/eMDOAZCyHp2Zkl/woBuOTHbSDqmXrnYPU8mPefethcgqbLQCVwVa32e07RaXhC5zA2Kky2p/7yNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2600d9161dd79a53f84fe0dbf6c069bd89985786e2d40bd059a31674b4ea43d7","last_reissued_at":"2026-05-18T00:42:12.476050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:12.476050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04992","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2mNgmYhM0rfxEQzqQyzfVzY61nzLeBArWBazEbIVWEjXoNrVNZtnTNLFmEFxmVeklI02qk7ezUWkPKBwqoAoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:21:14.930625Z"},"content_sha256":"2d510afc702c41683185576ea39aa4ae925cbf0a0acf13fc72e674fee2a994ca","schema_version":"1.0","event_id":"sha256:2d510afc702c41683185576ea39aa4ae925cbf0a0acf13fc72e674fee2a994ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EYANSFQ526NFH6CP4DN7NQDJXW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An improved derivation of the Smarr Formula for Lorentz-breaking gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Costantino Pacilio, Stefano Liberati","submitted_at":"2017-01-18T09:51:58Z","abstract_excerpt":"Thermodynamical properties of black holes in gravitational theories without Local Lorentz invariance have been subject to intense investigation in the past years due to the presence of universal horizons, which are strong causal barriers even for superluminal signals. Here we present a novel general method for deriving the Smarr formula for this class of theories: in particular we show that the Smarr formulae for Einstein-Aether theory and infrared Horava gravity follow from scale invariance. We not only reproduce straightforwardly previous findings for static black hole solutions, but we are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04992","kind":"arxiv","version":3},"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":"2026-05-18T00:42:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QwIv/RFULkXY+i61LmgaXY8z2pgRAfw0SWWZyc6O2nAm28giMruV1PrV6rzaRrBC8yUUGolVKlSJ8fhT0n8dAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:21:14.930977Z"},"content_sha256":"a7acb456df1a7d4529b41871fdf5a77e93d513d68f4be4b4934a1f67e4d2aca3","schema_version":"1.0","event_id":"sha256:a7acb456df1a7d4529b41871fdf5a77e93d513d68f4be4b4934a1f67e4d2aca3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EYANSFQ526NFH6CP4DN7NQDJXW/bundle.json","state_url":"https://pith.science/pith/EYANSFQ526NFH6CP4DN7NQDJXW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EYANSFQ526NFH6CP4DN7NQDJXW/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":"2026-06-03T14:21:14Z","links":{"resolver":"https://pith.science/pith/EYANSFQ526NFH6CP4DN7NQDJXW","bundle":"https://pith.science/pith/EYANSFQ526NFH6CP4DN7NQDJXW/bundle.json","state":"https://pith.science/pith/EYANSFQ526NFH6CP4DN7NQDJXW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EYANSFQ526NFH6CP4DN7NQDJXW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EYANSFQ526NFH6CP4DN7NQDJXW","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":"f7c8f3e7fb9e4165b317c2adef37455464f20cd3fe8e3b6dbff9683fa061dea2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-18T09:51:58Z","title_canon_sha256":"7cf7d96419f16da3bc016696848bfdb7bcdd4eaa9708c62da237136d00f2d9c2"},"schema_version":"1.0","source":{"id":"1701.04992","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04992","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04992v3","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04992","created_at":"2026-05-18T00:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"EYANSFQ526NF","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EYANSFQ526NFH6CP","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EYANSFQ5","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:a7acb456df1a7d4529b41871fdf5a77e93d513d68f4be4b4934a1f67e4d2aca3","target":"graph","created_at":"2026-05-18T00:42:12Z","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":"Thermodynamical properties of black holes in gravitational theories without Local Lorentz invariance have been subject to intense investigation in the past years due to the presence of universal horizons, which are strong causal barriers even for superluminal signals. Here we present a novel general method for deriving the Smarr formula for this class of theories: in particular we show that the Smarr formulae for Einstein-Aether theory and infrared Horava gravity follow from scale invariance. We not only reproduce straightforwardly previous findings for static black hole solutions, but we are ","authors_text":"Costantino Pacilio, Stefano Liberati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-18T09:51:58Z","title":"An improved derivation of the Smarr Formula for Lorentz-breaking gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04992","kind":"arxiv","version":3},"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":"sha256:2d510afc702c41683185576ea39aa4ae925cbf0a0acf13fc72e674fee2a994ca","target":"record","created_at":"2026-05-18T00:42:12Z","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":"f7c8f3e7fb9e4165b317c2adef37455464f20cd3fe8e3b6dbff9683fa061dea2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-18T09:51:58Z","title_canon_sha256":"7cf7d96419f16da3bc016696848bfdb7bcdd4eaa9708c62da237136d00f2d9c2"},"schema_version":"1.0","source":{"id":"1701.04992","kind":"arxiv","version":3}},"canonical_sha256":"2600d9161dd79a53f84fe0dbf6c069bd89985786e2d40bd059a31674b4ea43d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2600d9161dd79a53f84fe0dbf6c069bd89985786e2d40bd059a31674b4ea43d7","first_computed_at":"2026-05-18T00:42:12.476050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:12.476050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vs46P+Kv/eMDOAZCyHp2Zkl/woBuOTHbSDqmXrnYPU8mPefethcgqbLQCVwVa32e07RaXhC5zA2Kky2p/7yNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:12.476547Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04992","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d510afc702c41683185576ea39aa4ae925cbf0a0acf13fc72e674fee2a994ca","sha256:a7acb456df1a7d4529b41871fdf5a77e93d513d68f4be4b4934a1f67e4d2aca3"],"state_sha256":"2b79004821839e033136dede52f00439205d99c307bdea37bb83bcb2b271d75d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+O1/4HxZk9+TkQBXj3wMJ5lCfpyy7tLyMFM2qLepiItHnx4UXGvJny6TqP2F6AzSKeyMWMcJjDTlmpV8WR9fCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:21:14.932929Z","bundle_sha256":"31e2228046b90231f5267e2173e8b4f50213779656fbc2fad9c5cc6a27a4408c"}}